oo investigation of turbulent £ heat transfer at … › dtic › tr › fulltext › u2 ›...
Post on 07-Jul-2020
0 Views
Preview:
TRANSCRIPT
AFFDL-TR-67-144 Volume III
oo INVESTIGATION OF TURBULENT
£ HEAT TRANSFER AT HYPERSONIC SPEEDS to
^f< Volume in. The Laminar-Turbulent pTnr Momentum Integral and Turbulent Nonsimilar Boundary Layer Computer Programs
R. T. Savage V^ » ±jm JäGCK
J. R. Mitchell
THE BOEING COMPANY
TECHNICAL REPORT AFFDL-TR-67-144, VOLUME III
December 1967
This document has been approved for public release and sale; its distribution is unlimited.
Air Force Flight Dynamics Laboratory Air Force Systems Command
Wright-Patterson Air Force Base, Ohio
Roproduced by fho CLEARINGHOUSE
for Fodorjil Scientific & Technical !"'ormstion Spnngfioid V<i 22551
r D D C
[ii Wl 1968 (ijl
C
23-2.
...
THIS DOCUMENT IS BEST QUALITY AVAILABLE. THE COPY
FURNISHED TO DTIC CONTAINED
A SIGNIFICANT NUMBER OF
PAGES WHICH DO NOT
REPRODUCE LEGIBLYo
INVESTIGATION OF TURBULENT
HEAT TRANSFER AT HYPERSONIC SPEEDS
Volume III. The Laminar-Turbulent PrPr Momentum Integral and Turbulent Nonsimilar Boundary Layer Computer Programs
R. T. Savage C. L. Jaeck J. R. Mitchell
This document has been approved for public release and sale; its distribution is unlimited.
NOTICES
When Government drawings, specifications, or other data are used for any purpose other than in connection with a definitely related Government procurement operation, the United States Government thereby incurs no responsibility nor any obligation whatsoever; and the fact that the Government may have formulated, furnished, or in any way supplied the said drawings, specifications, or other data, is not to be regarded by implication or otherwise as in any manner licensing the holder or any other person or corporation, or conveying any rights or permission to manufacture, use, or sell any patented invention that may in any way be related thereto.
MCESUMftr
tmt nm «im s ' NC mvama ntrnwa a jutTmnw
wsniMTioii/iwiuiiiin eooB
m. 1 AVAIL Ut/m VECMLj
/
Copies of this report should not be returned to the Air Force Flight Dynamics Laboratory unless return is required by security considerations, contractual obliga- tion, or notice on a specific document.
AFFDL-TR-67-i44 D2-113531-3 Volume 111
; FOREWORD
This report was prepared by the Space Division, Aerospace Group of The I Boeing Company, Seattle, Washington, under direction of Messrs. A. L. Nagel j and V. Deriugln, program managers. The contract was initiated under BPSN
5(611366-62405334), Project 1366 Hypersonic Gas Dynamic Heating. Task 136607 Aerodynamics and Flight Mechanics. USAF Contract AF33(615)-2372, Investiga- tion of Turbulent Heat Transfer at Hypersonic Speeds. The work was adminis- tered by the Air Force Flight Dynamics Laboratory, Air Force Systems Command, Wright-Pattersoi. Air Force Base, Ohio. Mr. Richard D. Neumann (FDMG) was the Air Force project engineer.
Results obtained during this program are published in three volumes. Volume I, Analytical Methods; Volume II, Analysis of Heat Transfer and Pres- sure Data on a Flat Plate, Cone, Ogive, Cylindrical Leading Edge, Blunt Delta Wing, and X-15 Aircraft; and Volume III, The Laminar-Turbulent pivr Momentum Integral and Turbulent Nonslmllar Boundary Layer Computer Programs. Boeing document numbers assigned to these volumes are D2-113531-1, -2, and -3, re- spectively.
| This report covers work conducted between March 1963 and March 1967. The | report was submitted by the authors in May 1967.
I The authors acknowledge Barbara J. Safley for her exceptional effort in generating and editing the figures contained in this report.
This technical report has been reviewed and is approved.
PM» ffat^rfr. V. PHILIP^P. ANT0NAT0S Chief, Flight Mechanics Division Air Force Flight Dynamics Laboratory
11
ABSTRACT
This report presents a combined analytical and experimental investigation of turbulent heat transfer on basic and composite configurations at hypersonic speeds. The analytical results are presented in Volume I, the experimental results, including data-theory comparisons, are presented in Volume II, and computer programs incor- porating the analytical methods described herein are presented in Volume in.
The two heat-transfer prediction methods programmed are the laminar-turbulent Pr^r momentum integral method and the turbulent nonsimilar boundary layer method. This volume of the report describes the numerical method and presents flow charts, program listings, input forms, and a description of the output lor each program. The programs are written in Fortran IV language for operation or. the IBM 7094.
iii
TABLE OF CONTENTS
Page
I INTRODUCTION 1
II THE LAMINAR-TURBULENT MOMENTUM INTEGRAL COMPUTER PROGRAM (Pr»ir) 3
1. DISCUSSION 3
3 9 9
2. PrPr PROGRAM DESCRIPTION 11
12 13
13 13 17 19 21 22 26
26 28 29 31 32 36 37 39 40 42 43 53 56 58 59 60 60 63 65 66 66 66
a. Method of Solution b. PrM r Program Schematic c. Nomenclature
pr Pr PROGRAM DESCRIPTION
a. PrM r Flow Chart b. Subroutines
1) ATMOS 2) AXI2D (Option D-l) 3) BEQI 4) CYLIND (Option D-3) 5) DBTP 6) DELTA (Option D-4) 7) DERV
8) DIVERG
9) DSIRCH 10) EBAR
H) FIND 12) FLOW (Program B) 13) HEMI (Option D-2) 14) INTIAL 15) IWALL 16) JAYELL 17) MUZERO 18) QTRANS (Program A) 19) REF 20) RORMUR 21) SIRCH 22) SOMEGA 23) SONENT 24) STACON 25) STREAM (Program C) 26) TABLE2 27) TABLE6 28) TABLE7 29) TABL14
s
TABLE OF CONTENTS (Continued)
Paiie e1
30) TABI18 67 31) TABJ.-19 67 32) TAEL20 68 33) TBLP 68
3. INPUT-OUTPUT DESCRIPTION 69
a. Data Input Preparation 69
1) Axisymmetric or two-dimensional bodies (Option D-l) 69
2) Hemisphere (Option D-2) 74 3) Swept infinite cylinder (Option D-3) 77 4) Sharp delta wing (Option D-4) 81 5) Streamline calculations (Program C) 87 6) Reference calculations (Program REF) 93 7) Boundary layer calculations (Program B) 95 8) Heat transfer calculations (Program A) 99
b. Output Description 104 c. Error Statements 108
4, PROGRAMMING INFORMATION 110
a. p ^ Program Listing 110 b. prLir Deck Setup 182
HI THE TURBULENT NONSIMILAR BOUNDARY LAYER PROGRAM (MSBL) 186
1. NOMENCLATURE 186
2. METHOD OF SOLUTION 189
a. Forward Integration 189 b. Numerical Method of Solution 191
1) Calc.ilation of tabular values 192 2) Values obtained from tables 192 3) Computation at initial x = x 192 4) Calculation of ÖT) J 193 5) Calculation of y-derivatives and v-profile 193 6) Cf.lculation of x derivatives 196 7) Calculation of 6*. 0, Q^, TW L, and Tw T at x 196 8) Calculation of u and I-profiles at x + Ax 196
Stagnation Region Calculation 197
VI
3.
TABLE OF CONTENTS (Concluded)
INPUT-OUTPUT DESCRIPTION
a. Data Input Preparation
1) Data card formats 2) Case dependence
b. Output Description c. NSBL Input Form
4. PROGRAMMING INFORMATION
a. b.
REFERENCES
NSBL Flow Chart NSBL Program Listing
Page
19H
19H
19H 203
204 205
206
206 207
222
Figure
1.
2,
3.
4,
LIST OF ILLUSTRATIONS
Pressure distributions on a hemisphere and unswept infinite cylinder
Boeing modified Newtonian hypersonic pressure coefficients
Streamline correlation for sharp delta wings
Correction factor for the velov ity gradient at a hemisphere stagnation point or cylinder stagnation line
Streamlines near the apex of a sharp delta wing
24
62
H2
VI i
SECTION I
INTRODUCTION
Two methods for the calculation of turbulent heating rates are discussed in Volume I of this report, the laminar-turbulent momentum integral method (prMr) and the nonsimilar method for turbulent boundary layers (NSBL).
This volume describes the computer program for each method. A description of the numerical method is given as well as flow charts, program listings, input preparation, and output description.
The first computer program was written incorporating the Pr^r heat transfer prediction method developed by R. A. Hanks of The Boeing Company. The method was developed in the course of the X-20 program and finalized under NASA Research Contract No. NAS 8-11321 (Reference 1). In addition to the PrHr method calculations, the program also contains subprograms for calculating pressures, gas properties, and streamline patterns for several special cases. The SRU 1108 version of the pro- gram was written during Boeing Company-funded research and converted to the IBM 7094 during this Air Force Flight Dynamics-funded study.
The program has four major sections. Program A contains the method per se. Given the external flow properties and wall condition, this section of the program computes laminar or turbulent heating rates. All required gas properties are com- puted by the program from the given pressure and edge velocity. The effect of tran- sition is estimated by matching laminar and turbulent boundary layer momentum thicknesses at the transition point. The point of transition is determined by the pro- gram on the basis of a transition Reynolds number selected by the user. Program A can be applied to any geometry for which the external flow properties including nonisothermal wall effects can be defined by the user.
The second section, Program B, computes the local velocities and static tempera- tures along a streamline from a given pressure distribution.
If the streamline divergence is not known. Program C can be used to obtain this information. Program C calculates the path of two streamlines, the streamline of interest and one below, given a two-dimensional array of streamline angles. With two streamline paths known, the divergence parameter can be computed. This calcu- lation, however, assumes zero divergence due to body geometry.
The fourth section of the computer program, called D, calculates or provides information for the three previous subprograms for four special cases; the axisym- metric and two-dimensional body, the hemisphere, the swept cylinder, and the sharp delta wing.
The second computer program, the turbulent nonsimilar boundary layer, inte- grates the boundary layer partial differential equations (described in Appendix C of Volume I) using finite difference methods. The program can calculate the turbulent boundary layer on unyawed sharp or blunt axisymmetric or two-dimensional bodies. Three-dimensional flow effects are calculated using the zero crossflow pressure gradient approximation which implies no rotation of the velocity vectors within the boundary layer. Tl.e program is also limited to attached flow in air. which is con- sidered as ideal gas.
The program is capable of initiating its own boundary layer solutions, given only external flow properties, for the stagnation point of either sharp or blunt tip cones and plates.
Special inputs required are: pressure, wall enthalpy, a three-dimensional flow parameter and its derivative, the velocity gradient at the boundary layer edge and the normal velocity at the surface, all functions of the streamwise distance x. The user must also specify an initial and final value of x, the value of the x increments, and printout Information.
Output includes streamwise and normal velocity, temperature, total and static enthalpy, shear, heat transfer rate, a similarity parameter, and x derivatives of velocity and total enthalpy. These values are tabulated as functions of y (normal to surface) at each output position. Also printed In the output are the shear and heat transfer rate at the wall, and the boundary layer displacement and momentum thickness.
The Pr l^r progi'am requires about 0.5 to 1 minute of computer time per case, while the nonsimilar program requires 2 to 3 minutes for a flat plate case. The time estimate can vary and depends largely on the type of case.
SFCTIOX II
THE LAMINAR-TURBULENT MOMENTUM INTEGRAL COMPUTER PROGRAM (PrMr)
1. DISCUSSION
The computer pi-ogram described in this report is based on the Hanks PrHT
method of solution to the boundary layer momentum integral equation; and, as such, contains all of the assumptions pertaining to the method as discussed in References 1, 2, 3, and Volume I. The program calculates aerodynnmic heating on arbitrary bodies, with or without streamwise pressure gradients in laminar or turbulent flow. Three-dimensional flow effects are included in the form of streamlinf divergence due to body geometry (r) and crossflow or transverse pressure gradients (f)- The effect of a nonisothermal wall on aerodynamic heating is also calculated with modified methods of Ligbthill and Seban. This is discussed in further detail in Reference 1. The program described herein is applicable only to air in chemical equilibrium (References 4-7).
a. Method of Solution
The Pr^r integral program is actually four programs, any of which can be oper- ated separately. The first program, Program A, calculates heating rates for any body shape at any flight or ground-facility test condition given the external flow proper- ties, gas properties at the wall, gas properties at the stagnation condition, total streamline divergence and the streamline divergence due to body geometry alone.
Program A has an additional capability of calculating transition effects based on a transition Reynolds number selected by the user. The program matches laminar and turbulent boundary layer momentum thicknesses at the transition point.
In addition, the program calculates reference bent transfer coefficients which are used to normalize the calculated local heat transfer coefficients. The laminar heat transfer coefficients are all normalized by the value of the hemisphere stagnation- point heat transfer coefficient evaluated at the same free stream conditions as the body of interest. The heat transfer coefficient on the stagnation line of a GO0 swept infinite cylinder is used to normalize all turbulent heat transfer coefficients. The hemisphere and cylinder radius are items of input.
Program B calculates the boundary edge velocity and temperature given the pressure distribution along the streamline or body.
Program C computes streamwise pressure and divergence parameters given a two-dimensional field of pressures and streamline angles. Since pressure data and streamline angles are often most easily available as spanwise plots at various stations, considerable crossplotting is required to provide specific values along the streamline passing over any specified point on the body. This work is performed by Program C, which begins at the point for which the user desires to calculate the heating rate, and traces out the streamline, proceedmg upstream to a specified boundary (e.g., the boundary layer origin). The streamline angle is determined by double interpolation of a two-dimensional array of angles which is input. The streamline angle is then used to determine the coordinates of a point on the streamline a distance dx upstream. This procedure is repeated until the upstream boundary is reached.
|,feet
It also interpolates as required to obtain initial values at the upstream boundary of the input array (4, 1) thus providing all information required for Program B.
Program D provides the pressure aad streamline arrays and initial values required by Programs A, B, and C for several specific bodies. These optional configurations are:
D-l Arbitrary two-dimensional bodies at an angle of attack and arbitrary axi- symmetric bodies at zero angle of attack. The bodies may be sharp or blunt and composed of wedges and plates or cones and cylinders.
D-2 Hemisphere
D-3 Swept infinite cylinder (0 < A < 90°)
D-4 Sharp delta wing (60° < A < 80' and o > 0)
For options D-l and D-2. the user provides a table of body width or radius at various locations along the axis. For options D-2 and D-3. the cylinder or hemis- phere diameter must be input and for options D-3 and D-4. the cylinder or delta wing sweep angle must be provided. For option D-4 the angle of attack must be stated. In all options, the user provides the free stream conditions.
Options D-2 and D-3 (hemisphere and swept infinite cylinder) use pressure distri- butions stored within the program. These distributions are shown in Figure 1. Options D-l and D-4 calculate pressures from the local flow deflection angle and a modified Newtonian pressure expression. For Ö > 0
2 sin" 6
1. or, 1.1025 (•"W sinö)'
1/2 , 0.. . 2^ 1.2<s sin ^
M 0.6
(1)
and for 6 « 0
sin" 6 (2)
This approximate analytical method was devised for predicting pressures from the Newtonian relationship in which K is allowed to vary.
C, P
K sin o (3)
The relationship for K was chosen to obtain the best agreement with the exact solutions for a wedge, cone, and blunt body stagnation point. A plot of the modified pressure coefficients is shown in Figure 2.
The D options also provide velocity and streamline angle distributions along a streamline. In option D-l, the velocity is computed from
1/2 if P
initial 328 P (4)
and
u = a' — e x
sonic point if P. .L. , > .528 P
iiutial o X < X
(5)
sonic point
1.0
.9
.8
.7
.6
.5
.4
.1
.09
.08
.07
.06
.05
.04 0
l^-"1 "^ 1 ___ J ^"""N
\ N, V
1 ■ II
I j I
-V i 1
1
1
^ \k 1 : ' \ A^T ^ 1 i
i j
1 ! \ V§ '
j , \ \ ^ i i i
i 1 \ V
1 1 L \ "* I 1 I 1
1 i ' \ \^
• 1 i
i \^ \ I \ w \ 1
i h - [ - i \ " \ L ..____
i ! y \l\ 1 \M i i -A ȊJ
■ ■
1 10 20 30 40 50
6, degrees
60 70 80 90
Figure 1: PRESSURE DISTRIBUTION ON A HEMISPHERE AND UNSWtPT INFINITE CYLINDER (REF. 3)
o CM
00
's c
« JC
i 0 8 8: o
8 II '*
!
5
1
/ CM
/ o
I \
CO
iv / V
i, A 'O
> 1^ ,bxi
A CM
o
——
CO I—
UJ
o
O O UJ OH
on to UJ
a. o
O CO
c Q- •?. >-
«I O
o o
o
o CO
o ■
n oo
CN
o CM CN CN
O
CN
CO
Q. U CN
and
u = a* i e
6 1 ■ (kf .1/2
X > X sonic point
(6)
where a* is the velocity at the sonic point
Program options D-2 and D-3 obtain the edge velocity by integration of the pres- sure gradient ?long the streamline, while D-4 calculates ue from
u = u e «o
1 - 5600 (7)
The development of Equation (7) is presented in detail in Reference 3.
In addition, options D-3 and D-4 for the swept cylinder and delta wing also provide a two-dimensional array of streamline angles. The streamlines angles on the swept cylinder are obtained from
tan 0 = :—- e u_ sin A (8)
where the spanwise velocity ve is obtained by integration of the pressure gradient normal to the leading edge. Delta wing streamline angles are obtained from a corre- lation curve and
/d0\ R +
CL LE
(90 -A) m B9
CL (9)
where
tan R = (I)
tan /90 - A\ ' 57.3 /
PcL is the gradient of the streamline angle with
respect to the ray angle e
The streamline angle distribution across the wlug span is a curve fit obtained by matching the boundary conditions given by the angle and the gradient at the centerline and the angle at the leading edge. The calculations of program D are necessarily some' what approximate since exact flow field calculations are possible for only a few simple geometries. The approximations used in program D are those discussed in Reference 1 and are simple yet reasonably accurate.
8
Program D is easily modified and extended as more information becomes available, or as certain specific shapes become important.
b. Pr^r Prosra"1 Schematic
The relation of the four programs is illustrated on the following page: however, it should be understood that all four programs are coupled and function together as a single program when desired. The symbol OR indicates that the required data can come from either of the indicated sources.
c. Nomenclature
a* sonic velocity
Cp pressure coefficient
f streamline divergence due to crossflow pressure gradients
AI free stream Mach number 00
P local pressure
P stagnation point pressure o
P stagnation point or stagnation line pressure 2
streamline divergence due to body geometry
u boundary layer edge velocity
u free stream velocity
v spamvise velocity at the boundary layer edge
x distance along a streamline
6 local flow deflection angle measured from the free stream velocity vector
A total streamline divergence, includes body geometry and crossflow pres- sure gradients (rf)
e ray angle on a delta wing
9 angular location
INPUT
• Geometry • Test condition • Wall temperature • Transition Reynolds
number • Printout information
4 f PROGRAM D\
♦ D-l Axisymmetric or two-
dimensional D-2 Hemisphere D-3 Swept infinite cylinder D-4 Sharp d el to wing
<
1 Output from Pr ogram D OR I input to Program C
• Test condition • V/all temperature • Pressure • Streamline angle • Streamline divergence
due to body geometry • Transition Reynolds
number
i '
f PROGRAM C^)
i ' Output from Program C OR
input to Program B • Test condition • Wall temperature • Pressure • Streamline angle • Streamline divergence
due to body geometry « Streamline divergence
due to crossflow pressure gradients
• Transition Reynolds \ number
f PROGRAM B^)
\ Output from Program B OR
input to Program A • Wall temperature • Pressure • Streamline angle • Streamline divergence
due to body geometry • Streamline divergence
due to crossflow pressure gradients
• Transition Reynolds number
• _dge velocity • Edge enthalpy
| • Edge temperature • Edge viscosity
(^PROGRAM A^
Output from Program A • Heat transfer coefficient • Skin-friction coefficient • Heating rate • Shear stress
10
0 local streamline angle
A leading edge sweep angle
(|,T)) coordinate system
pr^r density-viscosity product evaluated at a reference condition
2. PrMr PROGRAM DESCRIPTION
Presented in the following section is a description of the program and subroutines. Equations, nomenclature input, and output from each subroutine are presented in alphabetical order by the subroutine title.
Before proceeding, a description of the program coordinate system is required. The program operates in a two-dimensional curvilinear coordinate system where the coordinate axes are designated as TJ and |. Restrictions on this coordinate svstem are:
lc t) and ^ are orthogonal.
2. Both T} and ^ must be parallel to the surface over which the boundary layer flow is being considered, and
3. i is taken to be in the general direction of the fluid flow.
Thus, no coordinate axis projects outward or normal from the surface area. In the case of a flat surface, T? and ^ will lie in the same plane.
CYLINDER
x, streamline distance
FLAT PL^"E
II
a. P w Program Flow Chart
INTIAL 1 r-SONENT * L-ATMOS
L-STAnON i
REF
-RORMUR
-SOMEGA—rTABLE 2 LTABL18
-TABLES IWALL- -SOMEGA—I-TABLE2
LTABL 18
T TABL 14 TABL 19 TABL20
-JAYELL
MUZERO—TABLE?
STACON SOMEGA
SOMEGA-r TABLE 2 LTABL 18
—r TABLE 2 LTABL 18
•-EBAR- -SOMEGA—T-TABLE2 LTABL18
DELTA K TBLP DBTP- -TBLP
CYLIND TBLP -FLOW i: SOMEGA—r TABLE 2
Li •TABL18 DERV
dsTREAMf—rFIND 1 J '-TBLP
•DSTP-
HEMI h-
Ü-r- Li
TBLP OIVERG
HAXI2D f i-TBLP c
h TBLP DBTP STREAM
"TBLP
TBLP -FIND -TBLP
DBTP TBLP
FLOW
SOMEGA-rTABLE 2 TABL IS T
h DERV SOMEGA-rTABLE 2
LTABL 18
^j BEOI [—pDERV
[OTRANS —pDERV -I WALL- -TABLE 6
-SOMEGA-T-TABLE 2 LTABL 18
-RORMURxTABL 14 kTABL 19 l-TABL 20
-iWALL TABLE 6 -SOMEGA-r-TABLE 2
•-TABL 18
-RORMUR-i-TABL 14 hTABL 19 l~TABL 20
EBAR —SOMEGA-rTABLE 2 LTABL 18
-EBAR- -SOMEGA—i-TABLE 2 L'
JAYELL-
'-MUZERO-
-SOMEGA-r-TABLE 2 L'
-TABLE?
TABL 18
TABLE 2 TABL18
12
b. Subroutines
The main program of the laminar-turbulent Pr^r momentum integral computer program —II (AS2419) —controls the input and the logic flow to the required mathe- matical subroutines. The input logic is arranged to minimize the modification required to change the input formats or the source of inputs (e. g., tape input or direct coupling to another program).
1) ATMOS(ALT, SONIC, PINF, RHO, TEMP)
Given the altitude, ATMOS calculates the free stream conditions. This subroutine is program AS1772, "Standard Atmosphere Properties, 1962".
t Input
ALT altitude, ft
Output
SONIC aÄ
PINF P«
RHO P«
TEMP T
free-stream velocity of sound, ft/sec
free-stream pressure, lb/ft
free-stream density, slug/ft^
free-stream temperature, "R
2) AXI2D (Option D-l)
AXI2D calculates the flow conditions for arbitrary axisymmetric and two- dimensional geometries using the following procedure:
(a) With the geometry specified by the coordinates (^j, yj), the slopes and pres- sures are assumed to occur midway between the input geometry points.
yi+l " yi
i+i M
i;;
Where y is the local body coordinate:
and
r O r
Xi+l/2 = Xi-l/2 + [(yi+l/2 " yi-l/2) + (5i+l/2 " ti-l/2)
1y 2 i 2 4-M sin 6 + 1
äin 0
where
C,
. 2X sm 6 = 0 for Ö £ 0
. 2. sm 6
= 1.05 + 1.1025 + 2 2
M^ sin 6 .
1/2 1.278 sin 6
M .6
for 6 > 0
The end points Xv and Xf and the pressures at the end points are found by linear extrapolation.
(b) If P at either end point is less than P^, set the respective P = ?„. If P at either end point is greater than P0, set the respective P = P0.
(c) Initialize x* = Xj and calculate the flow conditions at each increment dx along the streamline
x* = x* + dx i > 2 1 i-l
14
Linear interpolation is performed to find P/PSL(X*) at each x* using the tables of P and x calculated previously.
If P(x,) < . 528 P0
^»'"-['-(i-1)^ ll/2
If P(xi) > .528 P0 find the sonic location X* where P = .528 P0 from interpolation of the x and P tables. Then
a*x u (x*) = —— when x < X* e X*
-U-^ri! ue(x*) a i m\ 1/2
when x > X*
1/2 a* = (H/3) Sonic velocity
The remaining flow conditions are calculated from
A. i
(x*) =1.0
(x*) =1.0
Two-dimensional body
A(X*) = y(x*)
(x*) = y{x*)
Axisymmetric body
ie(x*)
w (x*) e
ZT (x*) e
H - I UeV)
f(P/PSL(x*). ie(x*)) j
f(p/?SL(x*), yx*)) [SOMEGA]
15
(d) Step (c) is repeated until the flow properties have been calculated for all points on the streamline.
Input
H H
XSI 4
Y yU)
XI xi
DX dx
POPSL Po/pSL
ACH M«
PINF P«
Output
II
XSTAR
POPSLX
UE
AIEE
ZTEX
OMEGAE
RORI
DODI
P/PSL(x^)
ue
(ZT)e(x*)
We(x*)
(r/rjHx*)
(A/Aj) (x*)
total enthalpy. ft2/sec2
coordinate in free-stream flow directic n, ft
geometry coordinate orthogonal to ^, ft
streamline coordinate at which calculations are to begin, ft
streamline coordinate increment, ft
stagnation pressure, atm
free-stream Mach number
free-stream pressure, lb/ft"
number of points calculated along streamline
streamline coordinate, ft
local pressure along streamline, atm
edge velocity, ft/sec
edge enthalpy, ft /sec
edge compressibility-temperature product, 0R
edge vircosity parameter, slug/ft-sec-cR
divergence parameter due to body-shock layer geometry
distance between streamlines, or total streamline divergence
16
3) BEQI
BEQI calculates the equivalent distance parameters at the initial streamline coordinate x». Following is the sequence of operations:
b b (a) Initialize -^^ = -^^ =1.0
(b) Divide the first streamline increment dx into 10 intervals, dx/10. Inter- polate to find the flow properties at each interval.
(c) Interpolate for i = f(T , P/POT) [IWALL] w w SL
ZT,
CJ,
= f(H, P/PSL) [SOMEGA]
ZT w
u w = f(iw. P/PSL) [SOMEGA]
(d) Calculate the reference terms
u; , o u , ZT , i , a [RORMUR] r frfr r r r
(e) Calculate d(A/A.)
dx [DERV]
(f) Calculate ie SL and EXPK from
N = x* d(A/£0 i_
(A/A.) dx
If N < .05; .99 < N < 1.01; EXPK = 0, ie SL = Je
--N(N-l) .05 < N < .99; EXPK = -.194e ' ^SL^N-^Ö,
-|(N-1) N.J
N > 1.01; EXPK = .194 e ' SL = ( N/
17
vP=UeCOSÖSL: VSL^'T
(g) Obtain EL and ET (EBAR)
(h) Calculate the equivalent distance parameter
b _eq
x 1
X* x* G(x*)
^ 'X, X,
where
and
GLMf^''r^(r/••l)2(f/t1)
2ELX,
A/A. f/f. = i r/r.
The integration is performed by applying Simpson's rule to the integrands GL and G-p to finu b L/X and b f/x, respectively.
(i) bg- /x is calculated for 10 inter/als. The 10th bg- /x is used as the new (b „ /x)v , the first interval is divided into 100 intervals, and the above eq AJ
calculations are repeated for the first 10 Intervals.
(j) The calculations are repeated for 5 iterations (1) where
dx i
dx. = —r and 1 101 (%) ] " [(%)
XI i ^ i-1
The final (b^/x)v is then used as the (bö /x)v for the general l CM
AII ii=5 ecl XI
calculation (.QTRANS).
18
Input
XSTAR x*
POPSLX P/PSL(x*)
TW Tw(x*)
UE ue(x*)
THETAS Öe(x*)
OMEGA E ü;e(x*)
DODI A/AjCx*)
RORI r/r^x*)
DX
Output
dx
BEQXLI (b r/x) XI
BEQXTI (b /x) eq, 1 x I
streamline coordinate at dx intervals, ft
local pressure along streamline, atm
vail temperature, 'R
edge velocity, ft/sec
streamline (edge) angle, degrees
edge viscosity parameter, slug/ft-sec-'R
dimensionless distance between streamlines
divergence parameter due to body-shock layer geometry
streamline coordinate increment, ft
laminar equivalent distance paraneter at Xj
turbulent equivalent distance parameter at xj
4) CYLIND (Option D-3)
CYLIND calculates the coordinates 4 and TJ and the two-dimensional parameters Öe(l. ^)• p/po(^ > ^) and Tw^ ^• ^) for an infinite swept cylinder. The properties are calculated as a function of TJ at ^ - 0 and are assumed to be constant in the ^ direction.
Pressure:
where
p 0
P(0) pT
X
l"PT ' P
. o .
e = 57.3- T)
R CYL
P/PT (0) is found by linear interpolation on a built-in table (Figure 1).
19
T2
\7MN "'
2.5 Stagnation Line Pressure
M„, = M cos A
V'all temperature is found by linear interpolation on the input array.
Streamline angle:
9 (7?) - tan ;—j- e u^smÄ
where V(TJ) is the tangential velocity calculated in subroutine FLOW.
Then
P/P fM) = P/P (T?) for all | o' o
Input
RADIUS
SWEEP
ACH
VEL
ETAF
XSIF
TW
■yi.Tj) = Tw(i7) foralU
9 (M) = fl (T?) for all i e e
(u ) =u sin A e'xj
R, CYL
M„
w
cylinder radius, ft
sweep angle, degrees
free-stream Mach number
free-stream velocity, ft/sec
final T} coordinate for which streamline is to be calculated, ft
final ^ coordinate for which streamline is to be calculated, ft
wall temperature, "R
20
free stream pressure, lb/ft"
stagnation pressure, atm
coordinate along axis of cylinder, ft
coordinate tangential to cylinder, ft
number of 4 values
number of TJ values
maximum 17 value, ft
streamline angle at Imax, degrees
pressure ratio array
wall temperature array, 0R
streamline angle array, degrees
DBTP is a linear double interpolation routine. Search time is reduced by starting the current search at the search result for the previous entry to this routine. DBTP uses TBLP to perform the interpolation.
Input
XX
YY
7.7.
X
Y
NX
PINT P«
POPSI. fVPSL
Output
XSI i
ETA V
M
N
ETA MAX w^) TH8MX %ax(0
PRESSR P/iy^n)
TWALL TwU,n)
THETAE eea,Ti)
5) DBTP
independent variable table
independent variable table
dependent variable table
independent variable
independent variable
number of values in X table
NY number of values in Y table
NXS location in X table at which search is begun
NYS location in Y table at which search is begun
Output
Z dependent variable
6) DELTA (Option D-4)
DELTA calculates the body geometry, the streamline angles, and the two- dimensional pressure array P/P0(|, TJ) for a sharp delta wing. The following procedure is used:
{&) If R < 0 a sharp delta wing case is indicated and 6 = a (degrees) for all |.
(b) The pressure is calculated from
y 2 / CP \ 2 Pa,-n)=j P^M^ —2-) «in Ö + P«
\sin 6/
where
sin 6 = 1. 05 +
,1/2 1.1025 +
2 2 M„ sin 6 00
1. 278 sin 6
(c) The initial velocity is calculated from
<ue)xT = "ocl1" ö2/560o|
M .6
(d) The equations used to calculate 6e(4,J?) are:
6 + 1 ■"&mr am ■1 _1_
M.
1/2
MXT = M^ sin £.
* ** 1 90 -A
tan I 6
'M 1 + N
M, M N (u/u«)
1 + - ü 6
1/2
22
y = 5($**)4
5(i**)4+ 1
e* = (90 - A)(i^***)r
N is found by linear interpolation on a built-in table (Figure 3).
If *** < 1.2 N = f(#**)
If ♦** > 1.2 N = f(A,***)
1 + ♦** _ NCL=—2 NCL LL M„+l CL
N
M 2
N
V = ^ tan (90 - A) max
6= (90-A)NCLR+ |Ö*-(90-A)NCL|R ^9
where
= _ tan^/g) tan (90 -A)
Then
0 =6* max
^W" T) = T). + A»;
i i-l
(e) The delta wing option D-4 assumes zero streamline divergence due to body geometry
— = 1.0 r.
i
CM
o
LU Q Q. cc: < »fcfcs
to 1^*1
< Or: o LX.
_ o o z o> o \ ^—
H- 00 * <
• ■Q' _J LU G£ Qi
«o o o LU z ■MM>
_-J
S -^■ <
LU Q: »— CO
■ •
CO a> k- =5 a»
CN
m
U |Z
24
Input
ACH M«
PINF P«
POPSL Po/PSL
VEL u«
ALPHA a
SWEEP A
RADIUS R
XSII «j
ETAI n,
XSIF lf
ETAF i7f
DELXSI A|
DELETA ATJ
Output
M
N
XSI
ETA
ETAMAX
TH8MX
THETAE
PRESSR
URATIO
max
max
e
P/Pc
uAu
free stream Mach number
free stream pressure, lb/ft'
stagnation pressure, atm
free stream velocity, ft/sec
angle of attack, degrees
sweep angle, degrees
leading edge radius, ft
initial streamline 4 coordinate, ft
initial streamline ») coordinate, ft
final streamline ^ coordinate, ft
final streamline TJ coordinate, ft
increment used to calculate ^ coordinate, ft
increment used to calculate TJ coordinate, ft
number of { values
number of TJ values
geometry coordinate, ft
geometry coordinate, ft
leading edge coordinate, ft
streamline angle at leading edge, degrees
streamline angle, degrees
pressure ratio
velocity i*atio
7) DERV (V, W, X, Y. Z. DBYDX, DX. ITYPE)
DERV calculates the derivative of a tabulated function f by Langrangian five-point formulas. Given a sequence of points x_2. x_2, x0, Xj, X2 separated by a common increment h, the corresponding derivative of f at each point is given by:
'^i'-Vi^'i^'-vy f2 = Ä(-fl + (2'
Input
V f-2 1
w f-l
X fo
Y fl
Z f2
ITYPE
DX h
Output
functional values
determines which derivative formula is to be used
function increment
DBYDX f function derivative
8) DIVERG
DIVERG calculates P/PQ. TW, 0e, r/r^ and A/Aj along a given streamline by the following method:
(a) Store the original streamline (1) data and calculate an auxiliary streamline 12) such that
n = T) ± An r p ^i max
26
(b) Calculate the following at each dx location on the streamline of interest
ß (x*) linear interpolation on 9 (x) e e
T (x*) double linear interpolation on T .(|,1)
P/P (x*) double linear interpolation on P/PJi.ri)
—{\*) =1.0 r.
i
cos fl (X*) A ^(x*) - n2(x*) e^
AT0*** _ V^lx*) - r,i2(x*) cos 0e (x*) i I
Where the subscripts 1, 2, and i indicate the original and auxiliary stream- lines and the point at which calculations are begun, respectively. If the streamlines cross at any point, the above calculations are begun a distance dx downstream from the intersection point.
Input
XI XI
DX dx
FTAF "f
XSIF «f
M
X
XSI i
ETA »1
PRESSR P/PoU-
TWALL V^.T,)
XSIX 4(x>
ETAX rj(x)
initial streamline distance, ft
streamline coordinate increment, ft
final streamline coordinate, ft
final streamline coordinate, ft
number of ^ input values
number of rj input values
streamline coordinate array, ft
streamline coordinate array, ft
pressure ratio array
wall temperature array, "P.
streamline coordinate, it
streamline coordinate, ft
streamline coordiiwte, ft
n coordinate for geometry leading edge, ft
streamline angle, degreei
streamline coordinate, ft
pressure ratio along streamline
streamline angle, degrees
dimensionless distance between streamlines
divergence parameter
wall temperature, 'R
final streamline x-coordinate, ft
number of points on streamline
9) DSIRCH(Z, X, Y, ZA, XA, YA, NZ, NX, NY, IX, IY)
DSIRCH uses DTAB to perform double interpolation on a table of the form
Z = f(x,y)
Input
ETAMAX max
THETAX *e(x)
Output
XSTAR X*
PRESRX P/P0(x*)
THETAS 0e(x*)
DODI (A/AjHx*)
RORI (r/rjHx*)
TW T
XF xf
II
X
Y
XA
YA
ZA
NX
NY
NZ
independent variables
table of X values
table of Y values
table of Z values
number of values in X table
number of values in Y table
number of values in Z table
28
IX order ot intenxjlacion in X direction
FV order of interpolation in Y direction
Output
/. dependent variable
10) KBAR (AVEW, AYESL. 11, SIGR. EXPK, POPSLX, OMEGE. OMEGS, GAMC, GAMO. EBARL, EBART)
K3AR calculates the crossflow pressure gradient parameters Ej^ and E-p and the pressure gradient correlation parameters rc and r using the following method:
(a) Interpolate to find
e, SL oL e, SL
(b) Calculate the local pressure in lb/ft^ and the Pß terms
P p =
r p i
SL (ps. ,
VT =
p.
R ^s
pc^e =
P
ir-e
(c) Calculate the mean enthalpies
'avg 2 (l\v ^ 'e. SL)
i = i + .2 (H - i or) a m,c avg e, SI, r
VT\JA
pe^e"/
(d) Interpolate to find
ZT = f(P/^T. ' ) [SOMEGA) m,c SL m,c
ZT = f(P/POTl i ) (SOMEGA) m.o SL avg
2i)
(e) Compute:
and
where
(I^-.294)«rr-355
FZC .4018
(£0-.294)<rr-355
FI0 = .4018
\ - ('*rpK
F _ ln„ \EXPK K
o = ("0)'
ZT 2 = m'c
c ZT e,SL
ZT 2 = m'0
0 ZTe,SL
(f) The pressure gradient correlation parameters are calculated from:
rc = -7m4FKc(\P\-1)
r0--71764FKo(VrT\-1)
(g) Compute the crossflow pressure gradient parameters:
ET = 1+ r L c
i+r \4
ET = (1+.76519 ro)_
30
Input
.WKW Ky
AYKSI. ^.SL
II H
SIGR ^r
POPSLX p/ps]
OMEGK "e
O.MEGS ws
Output
GAMC rc
GAMO r0
EBARL EL
EBART ET
Jl) FIND (ZA. Z. NTZ. XZS)
2 2 wall enthalpy, ft /sec
edge enthalpy at flow line of symmetry, ft /sec
total enthalpy, ffVsec
Prandtl number
local pressure along streamline, atm
edge viscosity parameter, slug/ft-sec-0R
stagnation viscosity parameter, slug/ft-sec-'R
pressure gradient correlation parameter
pressure gradient correlation parameter
laminar crossflow pressure gradient parameter
turbulent crossflow pressure gradient parameter
FIND looks up Z in an array ZA, dimensioned NZ, and stores the location of Z relative to ZA(1) in NZS. If Z is not in the range of ZA, the message "VARIABLE NOT IN RANGE OF TABLE" is printed, followed by the input values of Z, ZA(]), and ZA(NZ), respectively. NZS is then set to 1 if Z - ZA(1) and to NZ if Z ZA(NZ). Upon subsequent entries to FIND the search is begun at ZA(NZS) where NZS is now the location of Z from the previous entrv to FIND. For a normal exit NZS = i where ZAjiZ<ZA.+ 1.
input
ZA
Z
array to be searched
variable for which location is desired
."■1
NZ
NZS
Output
NZS
number of values in ZA
location of Z in ZA from previous call to FIND
location of Z in ZA
12) FLOW (Program B)
FLOW calculates the external flow parameters at the boundary layer edge as a function of streamline distance given the pressure and the stagnation conditions.
At the starting point, on the streamline, edge enthalpy is obtained from:
v2
("e)
Cel = « I
For the special case of the swept cylinder tangential velocity calculation
\ /x KsmAJ (0 = H - "I 2
Then
Let
and define
ZT = f(i , P/POT) (SOMEGA] e e öL
w - f(i , P/POT) (SOMEGA] e e oL
u - \**
K
2\u.
2 \u„
.21
X*,K
as the Kth iteration for u at the point x*.
32
Simüarly define |(ZTe) ^ i as the Kth iteration for ZTe at x*.
The iterative equation to be satisfied at each point x* on the streamline is
, , dxR x* „ x*-dx 2
K u„ (ZTeL
r_d_ /p dx ft I
avg
K \ o avg
where
d<p/IV _ i dx 2 lr<p/p°,i,.*ä1
<p/po'L. x*-dx
and
(P/Po) avg 2
P P — (x*) + —(x*-clx)
o o
The derivatives are calculated numerically using subroutine DERV.
For each iteration:
(i ) = !l-u 2\u >
K
For the swept cylinder tangential velocity
(U H - u " u 00 v* - 2 (u«si11 A
Then
x*
(-,
K
K
f Ce) P
' P. (X*)
K SL
SOMEGA]
;i:!
This va'ue of ZTe is then used in the above iterative equation to yield a new ux* These calculations are repeated at every x* until
K 'K-l
K
< €
where e = 10 . A maximum of ten iterations (K = 10) is fixed by the program. If the relative error criteria has not been satisfied after ten iterations at any point x*, an appropriate error comment will be printed. If convergence at x* has been estab- lished in the Ith step, then set u^ = {ux«} and
(Ue)x. - U-(2V)
(ZTe)x.= lK)x.!
KL-IKL
1/2
A special cass results when /ue) = 0. This corresponds to a stagnation point
where x, = 0 and d/dx(P/P0) = 0. The iterative equation for ue becomes
ue(x*) = ue(x* - dx) or due/dx = 0. Because this result is incorrect, the first step is calculated using the following:
The velocity gradient at the stagnation point xj is calculated from:
1/2
4fe) =f -*K) 4(f) \ «v J Xj »I Xj dx \ o /x
where the pressure derivative is obtained from the numerical derivative equation
2 £■(«!. i1)-2|-({2,T)) + |H|3,tj) d/P\o o 'o
A 2 \p dX \ Oy A«'
34
The use of this equation requires that the first three i input points be equidistant. Then
(Ual = u
I+dx
i /u d / e dx \ u
1 / 2
dx Jx,
I'M =H-^(U ) \ e' 2 \ e / I-dx Pdx
(ZTe) I-dx
K) I+dx
> = f Cel I+dx
SL I+dx
[SOMEGA]
The calculations continue, using the previously described procedure where the starting point is now Xj + dx.
Input
PR ESUX P/P0(x*)
II
ratio of local to stagnation pressure along streamline
number of values in pressure array
L"RATIO (ue/u«) velocity ratio at x
II H
VEL "*
DX dx
POPSL P0/
PSL
Output
total enthalpy, ft^/sec"
free stream velocity, it/sec
streamline coordinate increment, ft
stagnation pressure, atm
The following outputs are a function of streamline distance:
UE u,- edge velocity, ft/sec
POPSLX P/Pgjjx*) local pressure along streamline, atm
AIEE 'e
ZT EX ZT
OMEGAE we
XSTAR X*
13) HEMI (Option D-2)
edge enthalpy, ft"/sec
edge compressibility-temperature product, " R
edge viscosity temperature ratio, slug/ft-sec-'R
streamline coordinate, ft
HEMI calculates the streamline and the pressure and divergence parameters along the streamline for a hemisphere geometry.
(a) Set x? = Xj
(b) Calculate x*, P/P^x*), r/r^x*), and A/A^x*) for all dx increments along the streamline until fl = 90°
e = 57.3 x* R HEMI
Interpolate to find P/PJx*) = f(e)
r/r.(x*) = sinj — HEMI
(c) URATIO - Up /u
Input
XI
A/A.(x*) = sinf —
RHEM RHEMI
XI XI
DX dx
Output
XSTAR X*
PRESRX P/P0(x*)
HEMI
hemisphere radius, ft
x-value at which calculations are to begin, ft
streamline increment, ft
streamline coordinate, ft
ratio of local to stagnation pressure along streamline
3«
UORI r/rj(x*) divergence parameter due to tody-shock layer geometry
DOD1 A/Aj(x*) distance between streamlines, total streamline divergence
14) INTIAl. (LI, NTYPE)
INTIAL calculates the free stream conditions for wind tunnel and flight type inputs.
(a) Wind Tunnel Class i
2 u
H = 6000 T 2
Q« = 0.7 P^H.,2
P« - 1^/(1716 T^)
(b) Wind Tunnel Class II
2
i^= IT —r-
aao = Mi«) when 5.93 x 10(,< i«« 20.3 x 10° ffVsec2 [SONENT,
a^ = .6325 s/ i^ when !«< 5.93 x 10° It" sec"
u a
M. a«
,2 u„ \
T E \49M,
P« = P«,/(nif. T„)
P /P from [STACONl o oc
P-fe) SL\ P
o^
00 CC
q«> 2RT 00
(c) Flight
a^ = f (altitude)
P., = f (altitude)
T,, = f (altitude)
«« H = 6000 T,, + —-
u
00 a«,
q, = 0.7 P^M^2
UTMOSl
For wind tunnel I and flight
P /P = f(M , H, P^, u ) (STACONl
VPRT = U2- SL
Input
Wind Tunnel Class I, NTYPE = WTl
ACH M„ free stream Mach number
TEMP T.,. free stream temperature, "R
PiXF free stream pressure, Ib/ft^
38
Wind Tunnel Class 11, NTYPE - \VT2
VKL
II
POPSL
PINT
H
rJo/PSL
Flight, NTYPE = FLIGHT
ALT
VEL u.
Output
free stream velocity, ft/sec
total enthalpy, ft /sec
stagnation pressure, atm
free stream pressure, Ib/ft"
flight altitude, U
free stream velocity, ft/sec
ACH M,
H H
PINT P„
POPiNF PQ/P^
POPSL Fo/pSL
QINF q,,
SONIC ^
V EL u
15) IWALL (T\V, POPSLX, AYEW)
free stream Mach number
total enthalpy, ft /sec^
free stream pressure, lb/ft
stagnation to free stream pressure ratio
stagnation pressure, atm
free stream dynamic pressure, Ib/ft2
speed of sound, ft/sec
free stream velocity, ft/sec
IWALL calculates the enthalpy at the wall as a function of the waii temperature and the local pressure.
(a) Set Tu ~ Tw/l.8 (conversion to 6K)
;;<)
(b) Calculate wal! enthalpy
i =- .432 T.. when. T . < .JOO'K
i -.432T.. ^ 3.82x 10 r>/T . -SOOT when 300 < T < l-iOO'K
iw = f(log.,0 p/psl. Tw ); |TABLE 6| when Tw > ISOO^K
2/c^2 (c) Convert iw to ft^/sec
Input
i /_iL\ . 2.,031 i (m wl 2 } w\ lb /
\ sec /
TW T 1w wall temperature, 0R
POPSLX P/PgL(x*) local pressure along streamline, atm
Output
wall enthalpy, ft^/sec Hv AYEW
16) JAYELL (AYEW, H, AYEE, ZTE, ZTS, SIGR, BETAS, POPSLX, XJL)
JAYELL calculates the laminar pressure gradient effect correlation parameter JL
from the following:
(a) Calculate the mean enthalpy
i = -(i + H) m.s 2 w
(b) Interpolate to find:
(c) Calculate
ZT = f(P/POT, i ) [SOMEGA] m,s SL m, s
(Z - .294) /i
Z .4018 s
( aw\ 355
40
where
ZT Z =
s m, s
ZT
i = H aw
i e — + a
H r 1/2 M)
(d) If /3 < 0 set j = -1
It ß > 0 set j = 1 s
See subroutine QTRÄNS *"or ß calculation.
(e) Calculate the streamwise pressure gradient function:
(1+2 CPES) \ß
where
(f) Calculate J,
Input
J. =
AYEW \v
H H
AYEE äe
ZTE ZT
ZTS ZT
s 2 CPES+ (■~-)/J
CPES = ZT /ZT
e s i /H e
1 + .7176 //T+ F. F 0 Z s s nf
wall enthalpy, ft2/sec
2 O total enthalpy, ft /sec
2 y 9 edge enthalpy, ft /sec'1
edge compressibility-temperature product, 0 R
stagnation compressibility-temperature product, "R
41
SIGK a Prandtl number r
BETAS H,. streamwise pressure gradient parameter
POPSLX P/Pgj (x*) local pressure along streamline, atm
Output
XJL JT laminar pressure gradient effect correlation parameter
17) MUZERO(OMEGR, ZTR, AVER, AYEE, H, POPSLX. XMUO, XL)
MUZERO computes the reference stagnation viscositj7 ix0 and the diffusion effect parameter £.
(a) Interpolate to find:
-p - f (log10 P/PSL, ie) (TABLE 71
If
/i < 0, set L/i = 0 iD/ie<o. set^
(b) Calculate fi0 and Z
v3/2 H = u (ZT ) ^
o r r'' (t)
e
ZT •*• 200 r
(f)zv 200
I = 1 ■m'i Input
OMEGR ^r
ZTR ZTr
AVER h
reference viscosity-temperature ifatio, slug/ ft-sec-8R
reference compressibility-temperature product, "R
reference enthalpy, ft /sec^
42
AYEE 'e
H H
POPSLX Py
Output
XMVO ^c
XL £
edge enthalpy, ft2/sec2
total enthalpy, ft2/sec2
P/Pgi (x*) local pressure along streamline, atm
reference stagnation viscosity, slug/ft-sec
parameter indicating diffusion effect on heat transfer
18) QTRANS (Program A)
QTRANS calculates heat transfer data for any body shape given the external flow properties, gas properties at the wall, gas properties at the stagnation conditions, and the streamline divergence parameters. The sequence of calculations is as follows (names in brackets are subroutines):
(a) Set up x-printout array
(b) Initialize 0 = 0.5
(c) Interpolate for
i = f(T , P/PCT) w w SL
[IWALL]
(d) Interpolate to find
ZT
w.
= f(H, P/PSL) [SOMEGA]
ZT w
u. w
= f(iw, P/PSL) (SOMEGA]
(e) Calculate
u , p u , ZT , i , a [RORMUR] r rrKr r r r
43
(f) Calculate
du d(Ä/A.) e i
dx ' dx [DERV]
(g) Calculate i and EXPK from
x* ^^^i) A dx
If NS.Ü5; ,99<N<1.01; EXPK=0, i e, SL 'e
.05<N<.99: EXPK= -.194e0 , fl = (N _ n ö SL e
T^'1) - /N-l\ N > 1.01; EXPK= .194e • 0OT = -vT— Ö
oL v N ' e
(h) Obtain EL and ET [EBAR]
(i) Calculate the equivalent distance parameters defined by:
1 x x* G(x*)
1
/b \ x* x. G(x.) i-^-j + I G(x)dx
\ / Y V X. X.
x* G(x*) x.G(x.)
eq .x*-2dx
i i \ x x. ^x.
i i
i G(x)dx+ f G(x)dx+ / G(x)dx x*-2dx
where the integrand G is calculated from
and
GL^pr^Ue T
/ \2E r V / f \ L
e 'i Vfi
G,, / r \5/4 / f \(5/4>ET
f A/Ai f. r/r. i \
44
Thus, for x* = Xj + (2K)dx (INTEGER x > 1) the integration is performed by applying Simpson's rule using Gj^ or G-j as the integrand to find (bg^/x), an^ (b^/x) , respectively. eq -p
eq _ i x /x* x*G(x*) XiG^-~
X; c x*-2dx G(x)dx
dx G(x* - 2dx) + 4G(x* - dx) + G(x*)
where
/ x. i
x*-2dx K-l G(x)dx = f D G [xj + (2j - 2)dx I + 4 [x. + (2j - l)dx j
G(x. + 2jdx)
This last sum is the result of successive application of the three point inte- gration as the calculations move along the streamline. When x* - x, -t- (2K+ l)dx an extra point is required to compute (b^/x). The calculation is made by repeating the above sequence of operations (c) through (i) with x* incremented by dx.
(j) Calculate the streamwise pressure gradient parameter /3S from the following:
ZU**) = /Hx*-2dx) + F (dS - 0 ) s s dx\ s *'/x*-2dx
where
F = 71/(70+ l/cx)
G eq
L\ x
c = 1 x
x*-dx
. / eq 'ihr.
and
K) x*-2dx
H \/ ea
L J x*-2dx
u = 0 e
mu x* e dx'
Jx*-2dx u ^ 0 e
(k) Calculate the reference Reynolds number R „: calculate JT [JAYELL] and u £ (MUZEROl rM
then
eq (V*)L ; F
x,Q
■Li7/2ofe!
eq
'L
1/3
eq (b /x) y eg /.
- ; R x / .9/16 ' r.Q L
('
eq X ;
(b /x) V eq /.
4/10
p ^1 u (x /x ) r ^r e \ eq /
2 2 ^ F o o x.Q
11 Rr,Q a transition <input) a new value of (beq/x / is calculated using the following equations:
R p u u S T ^rrr e eq, L
L, S
R, 0 M u S ,„ MrKr e eq, T
T. S
46
e .664
(RL,S) 1/2 e e L
R .0(.2135R )
e e T B.T
^eKo^.S--407) 2.64
transition
fr) =(H-
./4
transition /
transition GTdx
TR GTx*
^ ^r Q < ^transition ^nPut)' a check is made at this point for x-printout values. If a printout point does not lie in the open interval (x* - 2dx, x* + 2dx), where x* is the current value of x, the sequence (c) through (k) is repeated until one is encountered.
(1) When a printout point lies in the above Interval and when the transition point is found the desired heat transfer data is calculated using the following equations:
Calculate JL and n0£ (JAYELL] and [MUZERO]
Then
eq M, L
c \
X/L
(b /x) \ eq /I
' 4/10"
-17
x.S
(b /x) T 17/4 \ «1 /-,
1/3
L /b /x\
x,Q
(h /x)
17/20 i^__TL /b /x\ [ eq JL
1/3
Reference Reynolds numbers:
p M u fx /x\ x* r r e \ eq /.
li r,Q
eci
~2~ 2" ^ F ^ o x,Q
p u u /S /x\ x r r e \ eq L
R r.S 2^ 2
M F 0 x.S
TT_ %Fx,SJL 3/2
/S 7x1 x* ' eq 'L
185 R r,S
!loS10(Rr,S+S000) 12.534
J.3/2 . F In \i/2 o x, S\ r, S/
— - . 332 -.——7—■ - u /S /x \ x* /SQ /x\ >
Skin friction coefficients:
L 1 C, =2
1, e, L u p u e e e
T 1 i, 0, T ' u p u
e e e
where P/P
Pe=1-232-ZT SL
48
Heat transfer coefficients based on enthalpy:
3/10 „ in \l/2
HL = L o x,Q\ r.Q/
.645 Tx /x\ x*
H, g-ej 3/1% F fe L Mo x.Q
T .645/ , t . a /x /x \ x* r ( eq L
.185 R r.Q
|1Og10(Rr,Q+3000) |2.584
H. H. =
L H
H„ H
T H ,. _ ref, T
Nonisothermal wall parameters:
n V-
local \ w, , w / ^ \ w. w. I S. ♦. , = (i - i + E f * - * F
local o/ i=l \ i
where
Fs; - ^ (SL). 1 L
Fs. = 1
5*\9/10
-(^T):
1/3
1-1/9
laminar
turbulent
and
L. 3 ;* _
(SL. " 3L. , ) ' 1 1-1/
local
Örp
G dx
N ; sn dx
local i 0
49
Adiahatic wall enthalpy:
i -iff (H - i ) aw, 1. e roe'
W^e^X-e) Nonisothermal heat transfer rates:
q-'Hii , - i + * \ L LI aw, L w L, . ;
> local/
"T'
Isothermal heat transfer rates:
q JL., lOU
(in) Print out heat transfer data.
L, iso L \ aw, L w/
T.iso ""Ti'aw.T ' w)
hi order for the sequence of calculations to reach this point, at least one printout point XpQ mutt lie in the interval (x* - 2clx), (x* + 2dx) where x* - K. + (2k)dx (INTKGKK k 2 0) is the current value of x. Answers of interest are now printed using linear interpolation for those printout points satisfying x* - 2<!'x < Xpn" x*. If a printout point satisfies the criterion x*< x <fx* + 2dx) ther, all quantities are saved for the current value of x to use for the interpolation scheme at x+ dx. Steps (a) through (m) are repeated until all printout points have been exhausted.
Input
Streamline Functions
XSTAR X*
POPSLX P/PSI(x*)
TW Tw(x*)
A IKK ie(x*)
streamline coordinate at dx intervals, ft
local pressure along streamline, atm
wall temperature^ 0 R
2/„'2 edge enthalpy, ft /sec
50
THETAS ee(x*)
DODI A/A^x*)
RORI r/r^x*)
UE ue(x*)
ZTEX ZTe(x*)
OMEGA E we(x*)
Initial and Reference Cond
H H
XI XI
RTRANS transition
SIGR <Tr
DX dx
XPO xPO
KF KPO
AYEvVO ^o
BEQXLI M BEQXTI UAI Output
XSTAR X*
POPSLX P/PSL(x*)
UE ue(x*)
A/Aj A/A^x*)
streamline edge angle, radians
divergence parameters
edge velocity, ft/sec
edge compressibility-temperature product, "R
edge viscosity temperature ratio, slug/ft-sec-'R
is
total enthalpy, ft2/sec2
initial streamline value, ft
transition Reynolds number
partial Prandtl evaluated at ZTr
streamline coordinate increment, ft
printout array, ft
number of values in printout array
reference wall enthalpy, ft2/sec2 (needed only if Tw ^ constant)
initial value of b /x (laminar and turbulent)
streamline coordinate, ft
local pressure along streamline, atm
edge velocity, ft/sec
distance between streamlines
ROM r/rj(x*)
TW Tvv(x*)
ZTEX ZTe(x*)
OMEGAE we(x*)
AIEE ie(x*)
AYEW iw(x*)
BEQXL beq, L/x(x*)
BEQXT beq/r/x(x*)
AYEAWL
AYEAWT
HL
HT
QL1SO
QTISO
QDOTL
QDOTT
CFEL
CFET
RRQ
RRS
HL(x*)/H0
HT(x*)/Href i T
4iso,T<x*)
qL(x*)
qT(x*)
Cf)C>T<x*)
R r,Q
R r.S
divergence parameter due to body-shock layer geometry
wall temperature, "R
edge compressibility-temperature product, 0R
edge viscosity temperaturs ratio, slug/ft-sec-0R
edge enthalpy, ft2/sec2
wall enthalpy, f^/sec"
ratio of laminar equivalent distance parameter to distance x along streamline
ratio of turbulent equivalent distance parameter to distance x along streamline
2 / 9 laminar adiabatic wall enthalpy, ft /sec*
2 2 turbulent adiabatic wall enthalpy, ft /sec
laminar heat transfer coefficient ratio, lbm/ft2/sec
turbulent heat transfer coefficient ratio, lbm/ft2/sec
laminar isothermal heat transfer rate, Btu/ft2-sec
turbulent isothermal heat transfer rate, Btu/ft2-sec
laminar heat transfer rate, Btu/ft2-s8C
turbulent heat transfer rate, Btu/ft -sec
laminar skin friction coefficient
turbulent skin friction coefficient
heat transfer reference Reynolds number
skin friction reference Reynolds number
19) REF
REF cucut&tes the stagnation heat transfer coefficient based on a reference hemisphere of radius R*, and the reference heat transfer coefficient based on a 60° infinite swept cylinder given the reference cylinder radius. The following procedure is used to calculate the stagnation conditions:
(a) Initialize ie = H
(b) Obtain ^he following from the indicated subroutines:
iw [IWALL] o
ZT , ZT , ZT , o , a; . u) (SOMEGA) w e s w e s
w . p u , ZT i , <T (RORMUR] r r r r r r
J [JAYELL]
ti0, £. [MUZERO]
(c) Calculate the stagnation heat transfer coefficient and heat transfer rate:
1/2 _ .664g^
o .645 a r
■ RHEMI, ref .
\-\V-^ ) a
The reference conditions are calculated from the following:
(d) Reinitialize MN = 1/2 M^
(e) Obtain the following from the indicated subroutine:
P^T/P«' W' U^V, [STACON] ST " ST MN
Hv.ref tlWALLl
ZT , ZT , ZT , w , a) , w [SOMEGA] w e s w e s
,").')
UJ , p n , ZT . i , a r r r r r r
IROUMUR]
rC'ro
IF. BAH]
v^ (MUZEROl
(f) Calculate the following:
•86tiRCYL.rof
«I.L~ (i+ rc)u^N
x,Q
i+ r 1.6
1 + .7625 r O' -i
1/3 i+ r
i+ r
R r. Q, ref
.866 p u u x r r <*> eq, L
Mo x,Q
H .332gJ£ ''o x,Q
ref, L . 64o x a eq, L r
, " {Rr,Q,ref) 1/2
H 185 gX 'io x,Q
R r,Q, ref
ref.T .645 x a\ eq,L log10(Hr,Q,ref+3000)l
2.584
aw, ref, L = H
1/2 (■-^("-'e)
1/3' aw, ref, T
= >,-(!-,-)(„-g
ref, L ref, L aw, L w, ref
Vf, T Href, T (law. T " w, re^
.866 u a .645
ref, L
ref.T
z£ H ref.'
.866 u a oo r
.645
g^ ref.T
ref "f.C ref q^
Input
PINF P«
ACH Moo
VEL Uoo
VELP UMN
H H
POPSL Po/PSL
TWREF T w, ref
RHMREF RHEMI.ref
RCLREF RCYL, ref
Output
AYEWO Hv 0
HO Ho
QDOTO %
HREFL
HREFT
H ref, L
K ref.T
free stream pressure, lb/ft2
free stream Mach number
free stream velocity, ft/sec
modified Newtonian velocity gradient, 1/sec
total enthalpy, ft2/sec2
stagnation pressure, atm
reference wall temperature, *R
reference hemisphere radius, ft
reference cylinder radius, ft
2 / 2 stagnation wall enthalpy, ft /sec
stagnation heat transfer coefficient, lbni/ft
2-sec
stagnation heat transfer rate, Rtu/ft -sec
laminar z'eference heat transfer coefficient, lbm/ft2-sec
turbulent reference heat transfer coefficient, lhm/ff-sec
AYAWUI. iaVv,reif,,
AYAW,lT W.ref/F
TAl'ilL Tref ^
TAURT Tref/r
QRKFL flref. L
QRKFT qret.T
CFREFL
CPREFT
%e, ref, 1,
^f, (:%ref,T
AYKREF iW(re{
laminnr reference adiariatic wall enthal|)y, ll-/sec~
turlnilent reference adiabatic wall enthalpy, ft2/sec2
laminar reference shear stress, lb/ft
turbulent reference shear stress, lb/ft
laminar reference heat transfer rate, lbm/ft -sec
turbulent reference heat transfer rate, lbm/ft -sec
laminar reference skin friction coefficient
turbulent reference skin friction coefficient
reference wall enthalpy, ft /sec
20) RollMUH
UOltMUR calculates the following reference properties:
(a) Viscosity parameter
ws K* =
1/14 1,005
W. .005+--
0J
K - (K¥)
13 3 ,_ -i
10 Ifi
U). F. - K
u).
a; -
vv
p7/8
ww F 1 1.2
1/10
.2-* F,
ÖC,
(b) DensHy-viscotity product
^ - fc ^
^r r r r R P„M_ = P
(c) Compressibility-temperature product ZTr
Change units of (jjr to slug/ft-sec-'K
u) - 1.8 w r,'K r,'R
For3.585 x 10"10 < w <8.03xl0'10
r
23213.13 x 10"20 T /, Ä„0„^ 1A18 2 \l/2"|2 ZTr,-K= 2 [l+(l -.478656x10 W ) J
Otherwise ZT »LT is obtained from interpolation
ZVK = f(lOg10P'Wrx) fTABL19]
ZTr "K is converted to "R by ZTr ,R = 1.8 ZTr .K
(d) Enthalpy ir
i r
RT o
f(log10P. ZT^^) [TABL201
/ I
i = 847559.8 ' r
r IRT \ 0)
(e) Prandtl number a.
a = f(ZT ) (TABL 14) r r
Input
POPSIX p/psi
OMKGS ws
OMEGE we
OMEGW ^w
Output
OMEGR ^r
ROMUR P M
ZTR ZTr
AYER V
SIGR ^^
local pressure along streamline, atm
stagnation viscosity-temperature ratio, slug-ft-sec-'R
edge viscosity-temperature ratio, slug/ft-sec-"R
wall viscosity-temperature ratio, slug/ft-sec-'R
reference viscosity-temperature ratio, slug/ft-sec-0R
2 M 4 reference density-viscosity product, slug /ft4-sec
reference compressibility-temperature product, "R
9 9 reference enthalpy, ft /sec
reference Prandtl number
21) SiRCH (Y, X, YA, XA, N, IO)
SIRCH uses TAB to perform single interpolation on a table of y = f (x).
Input
X
YA
XA
N
IO
Output
independent variable
dependent array
independent array
number of values in XA and YA arrays
order of interpolation
dependent variable
22) 30MEGA (ENTH, 0OPSLX, ZT, OMEGA)
SOMEGA calculates the viscosity-temperature ratio u; and the compressibility- temperature product ZT as functions of enthalpy and pressure.
(a) Convert enthalpy to Btu/lb m
i(Btu/lb ) = 25301 rf/sec2) x m'
(b) Calculate ZT
For i < 180
For i > 180
ZT = i/.432
ZT = f(log10 P/PSL, i) [TABLE2]
Calculate u
ZT < 111 CD = 14.454 x 10 ■10
m<ZTs20„„ w=(i-T)^(_i|«4__)M.45x 10 -10
ZT > 2000 w - f(log10 P/PSL, ZT) (TABL18]
(c) Convert ZT and w to "R
ZTtR = 1.8 ZT.K
u slug w ft-sec-'R 1.8
Input
ENTH
POPSLX P/P SL
enthalpy
local pressure along streamline, atm
.)!.•
( )UtiJUt
ZT ZT
OMEGA w
23) SONKN'T (EXTH, SONIC)
compressibility-temperature product, 'R
viscosity-temperature ratio, slug/ft-sec- "R
SOXENT calculates the speed of sound as a function of free stream enthalpy. The result is obtained by linear interpolation on tabular arrays constructed from the equation:
f>RT„ ,1/2
where
T« = f(U/RTrt)
T«, = MT«,)
Input
ENTH
Output
2 / 2 free stream enthalpy, ft /sec
SONIC a^ speed of sound, ft/sec
24) STACON (PSTPNF, AYEST, VELP, ACH, ACHN, H, PINE, VEL)
STACON calculates the stagnation-free stream pressure ratio, the stagnation enthalpy, and the modified Newtonian pressure gradient.
(a) Stagnation enthalpy
iorr = H - -— ST 2
'M 1 -
N M
(b) Pressure ratio P0/P
P
(H^1-2^3'5^- 2.5
MN21
no
3.5
("ST)
M. 1 +
X
o SL MN < 1
P2 GMN P 2
1 -MN ' 5
Interpolate for
(ZTST) - f(PST ' W) ^ 'o v o /
fSOMEGA]
(psT)r^:+K ^ \ \pi PSL/L
6006 (ZTST)
ST 2(P2/P1)- 1
Interpolate for
Krj/^srW [SOMECAl
(p-)2=fej k - ^ 2(P2/P1)
6006 ZTST
'ST 2(P2/P1) - 1
p (PST) o _ ' 'o P (P /P )
(c) Modified Newtonian pressure gradient
MN "?'- ' P
"KVC'V
6006 IZT (ZTST
ST
1/2
Interpolate to find the empirical correction factor to the modified Newtonian velocity gradientas a function of M^cos A (Swept cylinder) or M«, (Hemisphere).
UMN
= KIN) ' (CORRECTION FACTOR)^
For the correction factor jee Figure 4.
61
c v E
I x 0)
X
1.14
1.12
1.10
c
I 1 -08 v Z
'x ^ 1.06
1.04
1.02
1.00
—
!
\ ! \ !
0.5 1.0 1.5 2.0 2.5
M^ or M^, cos A
Figure 4: CORRECTION FACTOR FOR THE VELOCITY GRADIENT AT A HEMISPHERE STAGNATION POINT OR CYLINDER STAGNATION LINE
(i2
Input
ACH M«,
ACHN MN
H H
PINT PcC
VEL U=o
Output
PSTPNF PoK AYEST 'ST
VELP ui«v
free stream Mach number
normal Mach number
total enthalpy
free stream pressure, Ib/ft^
free stream velocity, ft/sec
stagnation to free stream pressure ratio
stagnation enthalpy, ft /sec4'
modified Newtonian velocity gradient, l/sec
25) STREAM (Program C)
STREAM calculates the streamline coordinate x as a function of the geometry coordinates ^ and TJ . A complete description of the geometry and streamline pattern are provided by the coordinates ^ and TJ, 0e(£,»)), ^maxd) and ^max^*
Öe(^,Tj) must be provided for the grid of ^ and TJ that lies within the geometry boundaries. With ömax(4) known along the upper TJ geometry boundary the complete streamline pattern on the body is defined. V^^^) specifies the upper n boundary thus defining the geometry.
The coordinates (^f, Tf) determine a point on a particular streamline. The streamline calculation begins at (If, Hf) and proceeds upstream until the geometry boundary is reached. The calculation of the streamline is done by the following procedure:
Let (4X)1 - Ij, (Hx) - l^ and (x)] = 0. Linear interpolation is performed on 6e{i,V) and ömax(4) if necessary, to determine (ox).. Then
(d\)1 = dxsin{ex)1
(^K)1 = dxcos(9x}1
G3
Then the coordinates of the new point are:
Continuing this procedure, the general equations are.
H.rf[MK»Kj /d 4 \ = dx sin /eJ \ ^ Xk-1 [ Xk-1
(dr) ] = dxcos (9 ) \ X/K-I \ X/K-I
and
K-l
(^)K = v - s {^ K-l
(\)K ' "F - S (<■.,). v 'K i=l 'i
K-l (X)K= Z d(Xx).
1=1 1
The streamline calculation is completed by rearranging the 4Xi ^x and x arrays such that 4 x' Iv and x are measured from the upstream end of the streamline.
The subroutine STREAM assumes zero streamline divergence due to body geometry
I- =1.0 r.
1
64
Input
M
N
XSIF «f
ETAF "f
DX dx
XSI 1
ETA T
ETA MAX :'r
TH8MX «r
THETAE 9e
Output
II
XS1X
ET AX
X
THETAX
XF
max
max
^x
ex
numl)er of 4 coordinates
number of r? coordinates
final streamline ^ coordinate, ft
final streamline of n coordinate, ft
incremental streamline distance, ft
geometry coordinate, ft
geometry coordinate, ft
body edge coordinate, ft
streamline angle at body edge, degrees
streamline angle, degrees
number of points calculated along streamline
streamline coordinate, ft
streamline coordinate, ft
streamline coordinate, ft
streamline angle, degrees
final x-coordinate on streamline, ft
26) TABLE2 (AYES, PEDGFL, TS, CHECK)
TABLE2 obtains by table interpolation the compressibility-temperature product as a function of pressure and enthalpy.
Input
AYES i
PPLOG log10 P/PSL
enthalpy, Btu/lb m
log of ratio of pressure to sea level pressure, pressure in atm
Output
TS ZT
CHECK
compressibility-temperature product, 'R
program check to determine success of interpolation (if the interpolation is not successful, sn error statement is printed)
27) TABLE« (TVV, PPLOG. AYEW)
TABLE6 interpolates to find wall enthalpy as a function of pressure and wall temperature tables.
Input
TW
PPLOG log10 P/PSL
wall temperature, 'K
log of ratio of pressure to sea level pressure, pressure in atm
Output
AYEW Aw wall enthalpy, Btu/lb m
28) TABLE? (AYEE; PPLOG, AYEAYE)
TABLET interpolates on a table of pressure and edge enthalpy to find the dissocia- tion on reaction enthalpy ratio io/ig.
Input
AYEE
PPLOG log10 P/PSL
Output
AYEAYE iD/i
edge enthalpy, ft2/sec2
log of ratio of pressure to sea level pressure, pressure in atm
dissociation reaction enthalpy ratio
29) TABL14 (ZTW, SIGT)
TABL14 obtains by table interpolation the partial Prandtl number as a function of the compressibility-temperature product.
fifi
Input
ZTW ZT compressibility-temperature product. °\l
Output
SIGT Prandtl number
30) TABL18
TABLls determines by table interpolation the viscosity-temperature ratio as a function of the pressure and compressibility-temperature product.
Input
ZT ZT
PPLOG logJ0 P/PSI
compressibility-temperature product. 'K
loi? of ratio of pressure to sea level pressure, pressure in atm
Output
OMKGA
CHECK
viscosity-temperature ratio, slug/ft-sec-'K
program check to determine success of interpolation (if interpolation is unsuccessful, an error comment is printed)
31) TABL19
TARU9 performs table interpolation to determine the compressibilitv-temperature product as a function of pressure and viscosity-temperature ratio. The table is com- posed of data in TABLED and TABUS.
Input
OMEGA u)
fPLOG log10 P/PsL
viscosity-temperature ratio, siun/ft-sec - "K
log of ratio of pressure to sea love! pressure, pressure in atm
Output
ZT ZT compressibility-temperature product, "K
(IT
32) TABL20
TABL20 performs table interpolation to find i/RT0 as a function of pressure and compressibility-temperature product.
Input
ZT ZT
PPLOG log10 P/PSL
compressibility-temperature product, 0 K
log of ratio of pressure to sea level pressure, pressure in atm
Output
dimensionless enthalpy AYERTO i/RT0
33) TBLP (XT, YT, X, NTAB, N)
TBLP is a linear single interpolation routine. To save search time in finding the location of the independent x value in the x table, the search is begun at the previously loca.ed x value.
Input
XT
YT
X
NTAB
N
independent variable table
dependent variable table
independent variable
number of values in the x table
location in x table at which the search is begun. This value should be set = 1 upon the first entry to this routine. Thereafter, it stores the location of the previous search.
08
s
3. INPUT-OUTPUT DESCRIPTION
a. Data Input Preparation
Data are input to this program via punched cards. The purpose of this section is to define the required input and the form it takes on the cards. Input sheets for each option or section of the program are shown. Use of this type of form greatly reduces the amount of effort recjuired to obtain results from the program. Data may be key punched directly from the forms.
1) AXISYMMETRIC OR TWO-DIMENSIONAL BODIES (Option D-l)
Card Columns Format Description
| i 1-6 A6 Type of case: FLIGHT, WTl. or \VT2. I This card indicates the type of free-stream | condi'ions to be input.
f 1 7-10 Leave blank.
1 11-72 10AG Title or some description of case.
Cai'd -2 will consist of only one of the following types oi input: Flight. Wind Tunnel 1 (WTl), or Wind Tunnel 2 (WT2). Wind Tunnel 1 case should be used for tunnels operating in the ideal gas region, while Wind Tunnel 2 case should be used tin- high energy tunnels such as shock tubes.
FLIGHT
2 1-10 F10 Flight altitude, ft.
2 11-20 CIO Flight velocity, ft/see.
WTl
2 1-10 F10 Free-stream M;ich number.
2 11-20 F10 Free-stream static temperature. H.
2 21-;50 F10 Free-stream static pressure. lb/!'t-.
WT2
2 1-10 F10 Free-stream velocity. It/see.
2 11-20 F10 Total enthalpy, ir,.secJ.
(I!)
Card Columns Format Description
2
3
3
4
21-30
41-50
1-10
11-20
21-30
1-14
F10 Ratio of stagnation pressure to sea level pressure.
2 F10 Free-stream d^amic pressure, lb/ft .
« F10 Radius of 60° swept infinite cylinder for
the turbulent reference heating rate, ft.
F10 Radius of hemisphere for the laminar reference heating rate, ft.
F10 Reference wall temperature, " R.
A6 Contains the word AXISYMMETRIC or TWODIMENSIONAL.
1-5
6
7
15 M is the number of values in the geometry tables y(4) and § . 3 < M < 50.
8F10 This table contains M values of ^ , ft.
8F10 This table contains M values of y(^) corresponding to 5 in the preceding table, ft.
Note: A minimum of three points must be input into the preceding two tables. If the body is very slender, more points should be used.
1-10 F10
8 11-20 F10
8 21-30 F10
9 1-5 15
Initial x location, point at which calculation begins, ft.
Increment in x, ft.dx > (x. - x )/750, i o
Edge velocity at x., ft/sec.
ITC is the number of values in the wall temperature versus surface distance tables. 2^ITC ^50. If ITC 2*3 then the wall temperature must be nonisothermal.
70
Card Columns Format Description
10 8F10 This table contains ITC values of surface distance, ft.
11 8F10 This table contains ITC values of wall or surface temperature corresponding to the preceding distance table, R. If T = constant then enter two values, w
12 1-5 15 KpQ is the number of printout locations desired. KpQ < 500.
12 11-20 F10 Transition Reynolds number, see definition of Rr)Q in Program A, labeled QTRANS in section 2. b, 18.
13 8F10 This table contains KpQ locations at which printout is desired.
71
s
n (/) Z o H
z. o
o 7
1- o o
8 z
K Ul (O U.
£ _, _.
L LU 0. > I-
8 UJ a: a. U P < ft
a.'
u
d z i u < 5
—
8 HI o: 0. o i < z >- □
8 Ul
0. o
<
_l
a.0
>
UJ
>- t-
Ö O -J
>
1
I
ü u.
s H
5 ai X
ir
_i
> u
UJ z O h O
i oc u
<0
-I
< o
Z o
c y- M 0. UJ Z z ? Ul
S S > n CO
X < 1
u—— -.„■■,.- _«
72
o 00
oT
x V
-
in Ul D -i < > O
UJ _i CD
< t-
ä
< > o o.
I
2) HEMISPHERE CALCULATION (Option D-2)
Card Columns Format
2
3
4
10
Same as Option D-l
1-10
1-10
1-5
1-5
11-20
A6
F10
15
Description
Contains title of program - HEMISPHERE.
Hemisphere radius, ft.
ITC is the number of points in the Tw
versus x tables. 2<ITC£50.
If ITC > 3 then the wall temperature must be nonisothermal.
8F10 This is a table of ITC values of x where T... are input, ft.
8F10 This is a table of ITC values of Tw
which correspond to locations given in the preceding x table, or if Tw = constant, enter two values of Tw-
15 KpQ is the number of printout locations desired. KpQ < 500.
F10 Transition Reynolds number, see definition of Rr,Q in Program A, labeled QTRANS in section 2. b. 18.
8F10 This table contains Kpg surface distance locations around the hemisphere at which printout is desired.
74
§
c
f-
5
81
^s
.1 UJ D K
<
to 2 5 <r a
i a.
UJ I
5 a o
u h-
-j L '■ 5
tu I
rrt~i
j i
L_ L
s
to UJ
-I < > 2
in -i ca <
J o a.
y
76
3) SWEPT INFINITE CYLINDER (Option D-3)
Card Cuiumns Format Description
Same as Option 0-1
1-8 A6 This card contains the word CYLINDER to allow the program to select the D-;5 options.
1-10 F10 Cylinder radius, ft.
11-20 F10 Cylinder sweep angle, measured Irom a line normal to the flow, 0 < A < 90 .
1-10 F10 |r is the abscissa at which the streamline calculation begins, ft. £j- must be large enough so that the streamline has very nearly zero slope at the sta^naticn line. Cases have been run by the authors using ^f ^ 10 and 20 ft for A 10D and GO .
11-20 F10 Tjj- is the ordi ate at which the streamline calculation begins, ft.
21-30 F10 dx is the increment in distance along the streamline used in the boundary layer calculations (Program A), ft.
o ■> 1 ''2 dx>(|f- t nf) 'f;oo
1-5 15 ITC is the number of values in Tv, and ij tables. 2 < ITC < 50. 11 ITC > .'! the wail temperature is nonisolhcrmal.
8F10 This table contains ITC values of 77. where T) is the distance around the cylinder, ft.
8F10 This table contains ITC values of Tw
corresponding to the -q table/H.
Card Columns Format Description
10 1-5 15 Kpo is the number of x printouts desired along the streamline. KpQ < 500.
10 11-20 F10 Transition Reynolds number, see definition of Rr,Q in Program A, labeled QTRANS in section 2. b. 18.
10 21-30 F10 Arjf is an increment used in Program C to locate the starting location of second streamline, ft.
If Arjf is small, in some cases the resolution between streamlines near the streamlines origin or apex may be very poor. The poor resolution leads to heat transfer distributions that are not smooth. In the event this occurs Arif should be increased, ft.
11 8F10 XpQ is a table containing locations along the streamline at which printout is desired.
78
Hi
5
J i-
s 5
8 cr
o a
0 I
8
j
I a
,8
Ui O
P <
5
1 I
a:
-) >- o
a: za
u
H
<c P*
g
i
Ul
-I < > O
ul -I o < 1- i
t-
<
I1 3 CD <
I1
I il
80
4) SHARP DELTA WING (Option D-4)
Cards Columns Format Description
Same as Option D-l
4 1-6 A-6 Contains the word DELTA.
5 1-5 15 ITC is an indicator for wall temperature gradient. If the wall is at constant temperature input a 1 and one value of wall temperature in table.
6 1-10 FIG Angle of attack, degrees.
6 11-20 F10 Wing sweep angle measured from a line normal to the flow, degrees.
6 21-30 F10 4 f is the final or end coordinate along the streamline at which heating data is desired, ft.
6 31-40 F10 T]J is the final or end coordinate along the streamline at which heating data is desired, ft.
6 41-50 F10 xj is the point along the streamline at which the calculations begin and may have to be greater than zero as indicated in Figure 5. The resulting change in streamline curva- ture, due to interpolation, near the apex produces a discontinuity in the heating calculations, ft.
7 1-10 F10 A^ is the increment in | which the pro- gram uses to setup an (£.i?) array of streamline angles, velocity, and pressures, ft.
^f
si
■Region of interest
.0125
Tj, feet
■Points in o two-dimensional array of streamline angles
090
^ , feet
Centerline - Streamline I
.135
Figure 5: STREAMLINES NEAR THE APEX OF A SHARP DELTA WING
82
Card Columns Format Description
7 11-20 F10 ATJ is the increment in n the program uses to setup an (£,T)) array of streamline angles, velocity and pressures, ft.
Ari > - 50
7 21-30 F10 dx is the increment in distance along the streamline at which calculations will be performed, ft. dx > (Xj- - xj)/750.
Note: If l\v is a constant value, enter ope value into card 11, and delete cards S, 9, and 10.
8 1-5 15 M is the number of points in the 4 array. 2 < M < CO.
8 6-10 15 N is the number of points in the n array. 2 < N < 50.
9 8F10 This is a table of M values of i where wall temperature will be input, if ITC > 1.
10 8F10 This is a table of X values of TJ where wall temperature will be input if ITC > 1.
11 8F10 This is a table containing (X) • (M) values of wall temperature, input so i varies with each T) .
12 1-5 15 KpQ is the number of x printouts desired along the streamline. Kp()< 500.
12 11-20 F10 Transition Reynolds number, svv definition of Rr.Q In Program A, labeled QTRANS in section 2. b. IS.
12 21-30 F10 See card 10, svept infinite cylinder. option D-o.
13 8F10 Xpo is a table of Kpo locations along the streamline where printout is desired.
o as
I UJ a. >
8 a.
s 5
—
8 a
8 a.
eT o a.
0 I
8 3
i
I o -I
8 3
IU Q 3 H H _l <
tu i
o GC
u in 1
< H -1 UI O D K
84
t3
^
My 0
■
1 ! 1 j
i ! i |
! | |
—i—i
! i
1
- to UJ 3
5
I
{
i -1 EC
UJ 1
> |
UJ!
CD !
< 1
:l I
o to
0)
< > O a.
UJ _l a) <
PJ
<1
I O a.
86
5) STREAMUNE CALCULATIONS (PROGRAM C)
Card Columns Format Description
Same as Option D-l
1-6
1-5
A6
15
Must contain the word STREAM.
M is the number of points in the array £. 2 < M < 50.
6
6
6
6-10
11-1;
1-10
11-20
21-30
31-40
41-50
15
15
F10
F10
F10
F10
F10
8F10
N is the number of points in the array n 2< X <50.
ITC is an indicator used to test whether the wall temperature is a constant or a variable. If T^. is a constant ITC = 1 and enter one value of T into card 16 and delete cards 13. 14. and 15.
4f is 5 at the final or end point, ft.
n£ is T) at the final or end point, ft.
dx is the increment in distance along the streamline, ft.
1/2
dx >
/. 2 'i iv ^ V2)
750
Xr is the point along the streamline at which the calculations will begin, ft,
ue xT is the edge velocity at the initial or start of calculations, ft/sec.
This is a table of M values of 4 2 < M < 50. 9e, P/P0 and T^, ui input as functions of ^ and r\ . ft.
87
Card Columns Format Description
8 8F10 This is a table of N values of TJ
2 < M < 50. Ge, P/P0 and Tw will be input as functions of | and TJ , ft.
9 8F10 This is a table of M values of Tlmax as a function of {. rtmSül defines the upper or outer boundary of the body, ft.
10 8F10 This is a table of M values of the stream- line angle 0max along the boundary as a function of ^, deg.
11 8F10 This is a table of (M) . (N) values of the local streamline angle 6e and should be input along lines of constant TJ and { . deg.
12 8F10 This is a table of (M) • (N) values the local pressure divided by the stagnation pressure and should be input along lines of constant TJ and varying {•
13 1-5 15 MT is the number of | values entered into the table Tw = f(4,Tj). Also see ITC above.
13 6-10 15 NT is the number of TJ values entered into the table Tw = f({ ,TJ). Also see ITC above.
14 8F10 This is a table of MT values of £ at which Tw will be input. Also see ITC above.
15 8F10 This is a table of NT values of n at which Tw will be input. Also see ITC above.
16 8F10 This is a table of (MT) • (NT) values of Tw as a function £ and TJ , 0 R. Tw
should be input as a function of 4 at constant TJ .
17 1-5 15 KpQ is the number of x locations along the streamline at which printout is desired. Kp0 < 500.
88
Card Columns Format Description
17 11-20 F10 Transition Reynolds numbfr. see defini- tion of Hr.Q in Program A. labeled QTHANS in section 2. b. 18.
17 21-;i0 F10 Sec card 10. Swept infinite cylimler. option D-;}.
18 1-10 F10 xpo is a table of Kpo locations along the streamline at which printout is desired.
M)
I <o g
0-
8 a
8 a.
-J
■— o a.
o I
8
I o -I u.
6
LU Q D h- h-
<
_J
>- ()
(C 5
oc o
< LU
a: a. z
in
2
in
5
• >
•-• X
X ■D
tr
—
«/>
in ut 3
< >
-I
<
90
o oo
Ü3
< >
OJ
< >
«5 UJ
-I < >
3 < >
<
Ei
< I I
CD
< CO
< H a.0
a.
2
!»I
s
•Si UJ 3 < > 5 j -i CO
<
05 Ui D -I < > Z UJ _l OQ
< P
I o Q.
r
j
in LU
< > o
o
X
6) REFERENCE CALCULATIONS (PROGRAM REF)
Card Columns Format Descriptor.
Same as Option D-l
1-10 A6 Must contain the word REFERENCE.
o CD
I
8 a.
8 5
—
8
a?
o 0.
I
8 3
I- I ?
1-
i UJ I
a:
_i >- u
K
N LU () a 7
ü UJ cc (T a. UJ 2 u.
Ul tr
!)-l
7) BOUNDARY LAYER CALCULATIONS (PROGRAM B)
Card Columns Format Description
Same as Option D-l
I 4 1-6 A6 Must contain the word FLOW.
; 5 1-5 15 IS is the number of values in the P/PQ,
f ee, &/&\ and r/rj tables as a function of | streamline distance. 2 < IS < 50.
6 8F10 This is a table containing IS number of x locations, ft, along the streamline at which P/P0, öe, A/Aj and r/rj will be input.
7 8F10 This is a table containing IS values of local pressure each normalized by the model or vehicle stagnation pressure. Tho P/P0 correspond to the above x table.
8 8F10 This table contains IS values of the local streamline angle relative to the axis of symmetry, degrees. The values of 9e
correspond to the above x table, degrees.
9 8F10 This table contains IS values of the stream- line divergence parameter A/A^. The values of A/A^ correspond to the above x table.
10 — 8F10 This table contains IS values of the body shock geometry parameter r/q . The values of r/r^ correspond to the above x table.
11 1-10 F10 xj is point at which the calculation will begin, ft.
tjf)
Card Column Format Description
11 11-20 F10 dx is the increment in distance alon^ the streamline, ft
XF!NAL"XI dx > -
750
11 21-.10 F10 uex is the edge velocity a ft sec.
12 1-5 15 ITC is the number of values in the Tw
versus x table. 2 < ITC < 50.
If Tw = constant then ITC = 2.
13 8F10 This is a table of xlocations (ITC) along the streamline where Tw will be input.
14 8F10 This is a table of ITC values of Tw along the streamline corresponding to the x table. If ITC = 2 enter only two values of TW, 'R.
lo 1-5 15 Kpy is the number of x locations along the streamline at which printout is desired. Kp() < 500.
15 11-20 F10 Transition Reynolds number, see definition of Rr Q in Program A. labeled QTRANS in section 2. b. 18.
16 8F1Ü This is a table of KpC) locations along the streamline where printout is desired.
Of)
g
I UJ a.
s 5
1—
8 a
8 a.
_i
0 a.
I
8 3
1
I i
i UJ I
_1 >- o
a: !D
* if) r~i 0 o rr 1 0. -1
u. CO
V) UJ D -I < > CO
UJ -1 m <
< a. OL
s
<]
X ■o
in Ul D -1 < >
Ul J to <
c
JJ
< > O a.
I .°l
98
8) HEAT TRANSFER CALCULATIONS (PROGRAM A)
Card Columns Format Description
Same as Option D-l
1-6 A6 Must contain the word QTRAXS.
1-5 15 IS is the number of values in each of the following tables: x. P/PgL' ue- "c A/Aj and r/rj. 2 < IS < 50.
1-10 F10 Xj is the initial x location a^ong the stream- line at which the calculations will start, ft.
6 11-20 FlO dx is the increment in distance along the streamline, (ft.)
XFINAL'
XI
dx> — IOO
6 21-30 F10 ue.xT is the boundary layer edge velocity
atxj, ft/sec.
7 8F10 This is a table containing x locations (IS) along the streamline at which P/Pg^. ue . 8e , A/A, and r/q will be specified, ft.
8 8F10 This is a table containing IS values of the local pressure normalized with the sea level pressure, and at locations correspond- ing to the x table.
9 8F10 This is a table containing IS values of the boundary layer edge velocity correspond- ing to locations specifiec in the x table, ft/sec.
10 8F10 This is a table containing IS values of the local streamline angle 6C relative to the axis of symmetry. The angles correspond to x locations specified in the x table, deg.
99
Card Columns Format Description
11 8F10 This is a table containing IS values of the streamline divergence parameter A/A.- and correspond to x locations specified in the x table.
12 8F10 This is a table containing IS values of the body-shock parameter r/r. and correspond to x locations specified in the x table.
13 1-5 15 ITC is the number of values in the T... versus x table.
2 < ITC < 50 If T is a constant, ITC =• 2. Input two values of Tw into card 15.
14 8F10 This is a table containing ITC values of x along the streamline, ft.
15 8F10 This is a table of ITC values of Tw along the streamline and corresponding to the x locations in the preceding table. (° R)
16
16
1-5
11-20
15 ^po ^s ^e num^er 0f x printout locations desired along the streamline. KpQ < 500.
F10 Transition Reynolds number, see defini- tion of Rr,Q in Program A, labeled QTRANS in section 2. b. 18.
16 21-30 F10 BEQL is the ratio of the laminar equivalent distance parameter to the distance along the streamline. If xj > 0 then a value of BEQL is required. If xj = 0 input BEQL=0,
16 31-40 F10 BEQT is the turbulent equivalent distance parameter. See BEQL above.
17 8F10 This is a table of Kpo locations along the streamline where printout is desired.
100
8
J ID 0. > (- u
I O
s 3
UJ C D
_1 <
2 tu X
a:
-j >- u (0 v> v. o < o X
tr H o. o £
101
o CO
■
—_
102
o 00
o I-
< >
to 111 D _) < > o
tu _J CO <
W -1 CD <
K
—T~~\—
I
J
>
c 0 M c
!■
1 in
o Q.
103
b. Output Description
INITIAL CONDITIONS
VELOCITY
MACH
ENTHALPY
TINF
PINF
QINF
PO/PSL
PO/PINF
free stream velocity, ft/sec
free stream Mach number
2 , 2 free stream enthalpy, ft /sec
free stream static temperature, 0R
2 free stream static pressure, lb/ft
free stream dynamic pressure, lb/ft
(model total pressure)/(sea level static pressure)
(model total pressure)/(free stream static prepsure)
REFERENCE CONDITIONS
HO
.24HO
QDOTO
HREF.L
RHEM,REF
RCYL, REF
SWEEP
.24HREF,L
QDOT.REF.I,
^k/^aw'Sv) = ^c/cp where ^o is the hemisphere stagnation point heat transfer coefficient, lbm/fr-sec
. 24 ho/Cp , Btu/ft2-sec-0 F.
2 hemisphere stagnation point heating rate, Btu/ft -sec
^REF.l/^avv.L" Hv,REF) = hREF,L/CP where hREFsL is the laminar heat transfer coefficient based on enthalpy at the stagnation line of a GO" swept infinite cylinder, lbm/ fr-sec
hemisphere radius, ft
cylinder radius, ft
sweep angle of the swept cylinder used for the turbulent reference condition, degrees
•24 bREF,l/CP
laminar heating rate at the stagnation line of a 60° swept infinite cylinder, Btu/fr-sec
104
HREF.T
.24HREF.T
QDOT.REF.T
LAW, REF, L
IAW,REF,T
I\V, REF
TAUREF, L
CFINF.REF.L
IW.O
TAUREF, T
CFINF,REF,T
TW.REF
^REF.TAiaw.T " V.REF) = hREF,T/cP where hREF, T is
the turbulent heat transfer coefficient at the stagnation line of a 60° swept infinite cylinder based on enthalpy, lbm/fr-sec
.24 hREF)T/Cp
turbulent heating rate at the stagnation line of a 60; swept infinite cylinder, Btu/fr-sec-c R
laminar adiabatic wall enthalpy on a 60° swept infinite cylinder, ft^/sec^
turbulent adiabatic wall enthalpy on a 60° swept infinite cylinder, ft^/sec2
reference wall enthalpy, fr/sec
laminar shear stress on a 60c swept infinite cylinder, Ibj/ft2
2Tref l/(P'ou'*)' laininar skin friction coefficient based on free stream conditions
stagnation wall enthalpy, fr/sec2
turbulent shear stress on a 60° swept infinite cylinder. Ibj/ft2
2Tref T^^«11«'" k^bulent skin friction coefficient based on free stream conditions
wall temperature for 60" swept infinite cylinder heating calculations, 0R
GEOMETRIC PARAMETERS
SWEEP CYL cylinder sweep angle, degrees
SWEEP DELTA WING delta wing sweep angle, degrees
ALPHA angle of attack, degrees
RCYL cylinder radius, ft
RHEIvII hemisphere radius, ft
10.1
STREAM UXE
XSI
ETA
THETAE
coordinate, ft
coordinate, ft
streamline angle, degrees
BOUNDARY LAYER CALCULATIONS
X
ETA
XSI
BEQXL
BEQX~
POPSL
AYEAWL
A YE AWT
UE
HL
HT
DODI
N
QLISO
QTISO
RORI
?treamline distance, ft
ordinate of coordinate system, ft
abscissa of coordinate system, ft
(b /x)^. laminar equivalent distance parameter
(beq/x)^ turbulent equivalent distance parameter
local pressure in atmospheres
2 2 iaw L, adiabatic wall enthalpy in laminar flow, ft /sec
2 9
law j, adiabatic wall enthalpy in turbulent flow, ft /sec"
edge velocity, ft/sec
laminar heat transfer coefficient divided by the reference hemisphere stagnation point heat transfer coefficient
turbulent heat transfer coefficient divided by the reference turbulent heat transfer coefficient at the stagnation line of a 60° swept infinite cylinder
A/A^, total streamline divergence
x/^A/Ai) (d(A/Ai)/dx), streamline divergence parameter
laminar isothermal heat transfer rate, Btu/ftr-sec-0R
turbulent isothermal heat transfer rate, Btu/ftr-sec-" R
r/r., streamline divergence due to body-shock geometry
10()
QDOTL
QDOTT
TW
CFEL
CFET
ZTEX
RRQ
RRS
OMEGAE
AIEE
AYEW
THETA
iMUO
ZTR
EBARL
EBART
JL
XEQL
FXQ
FXS
OMEGAR
laminar heating rate, Btu/ft^-sec- R
9 turbulent heating rate, Btu/ff-sec-^ R
wall temperature. R
laminar skin friction coefficient \ based on dynamic > pressure at boundary
turbulent skin friction coefficient ; layer edge
ZT , compressibility factor times the edge temperature, "R
heat transfer reference Reynolds number
skin friction reference Reynolds number
2 edge viscosity divided by ZT . lbf-sec/ft -' R
2 2 i . edge enthalpy, it"/sec
0 2 1, wall enthalpy, ff/sec" w
Q . local streamline angle, degrees
ß , absolute viscosity at the stagnation reference condition. lbf-sec/fr
compressibility factor-temperature product evaluated at the reference enthalpy, l H
laminar erossflow pressure gradient parameter
turbulent erossflow pressure gradient parameter
laminar strcamwisc pressure gradient profile parameter
laminar heat transfer equivalent distance divided by the local distance along the streamline
see definition of F ^ in QTRANS
see definition of F in QTRANS
reference \iscosity divided by reference tcmperatiire. lbrsee/ft2- H
107
THETAL laminar momentum thickness, ft
THETAT turbulent momentum thickness, ft
c. Error Statements
ERROR IN CONTROL CARD (NTYPE - name)
ERROR IN CONTR il, CARD (NPROG - name)
The above errors are caused by ari input error of the code words NTYPE or NPROG. "Name" is the control word that was input. This error will terminate the run.
ALTITUDE INPUT TO ATMOS EXCEEDED RANGE - ASSIGN VALUE OF 2,300.000 FT.
ALTITUDE INPUT TO ATMOS BELOW ROUTINE RANGE - ASSIGN VALUE OF 0 FT.
Input altitude out of range of ATMOS subroutine. FLIGHT case only.
STREAMLINE COORDINATE DIMENSION (750) EXCEEDED IN SUBROUTINE AXI2D
The input value of dx is too small for an axisymmetric or two-dimensional ease. Also printed with this comment is the x-value at which the array dimension was exceeded, the maximum x defined by the geometry input, and the iiiput dx. The run is terminated by this error.
DBTP ERROR
The independent variable is outside the range of the program tables. The independent variable and the table limits are printed. The program will use the table limit and proceed.
STREAMLINE CROSS AT XSI =
When the twe divergence calculation streamlines cross, the above comment is printed with the value of the i coordinate at that point. The program moves down- stream, by dx increments, until the streamlines are not crossed and begins calculations at that point.
10«
CONVERGENCE NOT ESTABUSHED IN VELOCITY CALCULATION
The velocity iteration routine in subroutine FLOW failed to converge on a solution in 10 iterations. The program proceeds using the final calculated velocity.
SIRCH ERROR
Table interpolation error in the general interpolation routine SIRCH-
ERROR IN TABLE2 LOOK-UP
ERROR IN TABLI>5 LOOK-UP
An error occurred during table interpolation in subroutine TABLE2 or TABL18.
FREE STREAM ENTHALPY EXCEEDS TABLE VALUES IN SONENT
The enthalpy value used for table interpolation in subroutine SONENT is outside the table l>mits.
ERROR IN STREAMLINE CALCULATION
This comment is printed when a calculated streamline point lies outside the (9e(£ .T)) grid in subroutine STREAM.
109
4. PROGRAMMING INFORMATION
a, PrPr Program listing
-•(Ncn-t)A>ot^<ao«o>-i<Mcn^mmr-co(hO'-4<Mcri^inoi>.(oo«o^{>4fn4,m<or<-0(>o-i
§OOOOOOOOOooooooooooooooooooooooooooooooo OOOO000000000000000000000000000000000000
^0»0*0»0>0v0«<?'0»0»0»^0»0*0»O0»0»0»O0»0>0»0»0»0k0>0*9»0»0'0>0»0»0>0>0»0>0»0>0k
♦ ♦•♦•♦♦■»•♦"••-♦^^■♦^^^♦♦^^■-«•■»•«••»♦■«'^•■♦■«•^■'«■'»•«•■«••♦«»^'»♦•♦•♦^ («(M(>iMoir4c>ir«ir4fMr4<vriiriiNc«f4(>i<>irar4r4i>t(M^r^r«c>|c>ii>iciir<iri<i>iNNrii<>4i>ii>«i>i
o -^ * «o -* r* UN o
• ••>••••••••«>•«>«•• • • «»r- in
u. O ui uj _i« «» a. *- UJ a-• < < (K ^>o » «/) x< u. u. a tu»- •-• ►-•»«o < a o *~ -•
•-o»-a zzx.ui< -> üJ oc ui K- u»oo • s -J UJ LÜ K •-• <-« X X OC U. U) x o X tO Ui u. *-. -»a • — UJ < 00 o xa. o a 1/):? x x >»-of o x x 3a v£^o»-~ o x • «••••.•••••«,•*••• • • ••m^o «ft x -«..-.-. — -»«, ^ÄÄ*» Ä ^. ^,Ä —~ „-. w © ^ — >. «o <<\^)0»ojinoo«-<*f^o««»iOh-r,-f*»*''s>r- f-f- cn9»x»nr- 1/) »-•
•-(•Mr-irijrgojmfncnoo^mAmtn OOOD X^— OC XX «v r* * *v r* o» «n «0'-«/> o o «•
^«o«^ o» t-i xx< or »-• o "^ ^ _ w. H-er »- • j O */»
^ — w w w w w ^, — ^ ^, w ~~ w — — — *-— <<»^>UJ — u. » as O» <<<<<<<<<<<<<<<<<< << .-.-. — IUX o X»-< »4 « v «. w . ^ w — w w w . — — — -, ww —WOQ;^ — m ■« X OC <♦ «na •-. o— • <o ►- CM •••••••*•••••••••• • • •»— •—.QmtO • O «« x — o«nr-a xx < ^, — ^. ^.^^, ^.^ ^,«. — Ä ^ ^ ^ ^, ^ ^ Ä.^. .~_<oin«>~* >-« — •-• u.«/> w? Xinf*-OX-~ rat/)»
<-ivo »--luJZU. x J < <r»-»«n»«n >--• X XXX -• U. t/) « < UJ Q. U. X'-'UJ-JX t- H- —UJ — »x < a o _J! < UJ 0. «1 a: et _J — < « o UJ < < ui o o:uia:<_iouj x<* oc _i uiuj x>-o: o u >-at UJ tn •-x o« at»- xa a*<»9-J«nQ. <o x o o < coo au» x a a a: h-> xuj >-o < »-ui »-x z« —»-uj<r->- »«J O •••••••••••••••••• • * ••OiOX3i'-»- »Ut nt «.^^«.^^ » A M«. «.«. A ^ ^, ^ «. ^ *.*« —.tnxo^-x» ujx Ou fNiina)^-#i».o«o<oo»nj«nr»-r-r»f«»h<'h- t^r- Ma>— ••••-«• oc -o
t-ii-ii-tnjMojcijenwooooaotntntn mo» >. Ä *»-•»/) —. -» rtui» D t-i o» r» rg r- ex ^ »oooxo o ►-ü. x
tviri ■*> & >-* —-mino»— in»Ly< ^ -. — o*r-'-« — o—— xoruj
o ~«-.w.^w.^w^^-,wwww — —.-. <<ino — — ooot- voxce I^ <<<<<<<<<<<<<<<<<< << «• « — m x O m ac in< v ^> »- oc — ~. ~-~ «. w w ~. ~ w ~. — ^. w — ~-*, •,»► «.«.<«. UJ a. r> o. — H- -> >. t/)
< K o: ►-x «-'« in ui m —x acM •••••••••••••••»»• » • ••UJCON»X*»-»~*O»>O
1 O* •i/)»—<'~UJ—o»-«»* f u. — —-. — *.*»*.««*»«. ÄÄÄÄ«,Ä«.*. -. — -~-«—.UJ —o»-o x 0^4 « ^o I O < ULf) xxo: X oa Otnuj »n H-tn —— w z
XO 0»-to XD <-j u> oc intLinh* XO o»-t/) X3 < _i 10 a ino-nnr*»— • — UJ»*-'« < <o »UJ<U. —m a. xtntoxx *n *» • r»-"-ui — H-_i — •-j
w oe »4 xuj-tK< o. 0 o x-1 «-• < a UJ I*J «-• UJ «-.«.»,« o o-• H-"«-. >- u o «H u >-uiUJ t-o o < ZUJ UJ M«^»-o ae H tn ae s ■-« «A oiu »->«-o muj>-• — Mu ^ UJO — w<«caoujxa.oc«K->xxwaa(MxuJo.»-ujx«xinuJ*aQ-'X>-uj>-xtn
avx — -»« x--x—-XO< oxxxsczvo «m OUJrH4-r-o<nvoo«rsim«o^)<*r-r>r^r>-h-r«-ujr^r<-UJ'~i-#Oin • *\ O O •OOt-ac I-H
a> z N, _i >-••-• pi I^N (VM tn m m m it m m a> _)• m j ^ « «.^« « Ä« »^ « o, < w »m-i z < «H »M KOJ o» < *r-< 10 UJ o «-in 10 ©to tn ~-.»~ K «<C> «x ♦ m > A o > Z<0—ZZmzz ~ -j < ni x X « -■^« — — uj»~r~ocuJuJ—üJUJ<<UJX W) l3--.-«-w^^-.--.-.«».-.-.«.-D-.-.3<<XUJ-OXXi«XXi-»-OlK < oo<<<<<<<<<<<<<<<<<<o<<o<-'-'^iujoe«"«uj«-<<<xo
(JUJ«''»'<-''VWWW«..«W«.W«»WWW~~UJV««UJ«««.O»~3 0030000<OU. u •-• N m •«■ m <o r» 00 o« ^ oj m ^ m <o r« • o> ^N •-• «O I-IM tn <H r
110
C00003000000000000000000000000000000000000 oooooooooooooooooooooooocooooooooooooooooo
rs>rgr>jr4r4r^ni<>ir4rNirj(^nj^r4r4r>jf>jr^r4r«ir>ir^rg(N4r404rvirtjr4rgrgrvr4Nr^r^r«iriJ(>irgr\i
X
Q. >-
-• O
a or <
o a:
UJ
>-• .-t 2 t-^ • o — II O u. a u. vO .u — U z * i< • _l • ^H «—i _j cc o f- — » •tT a lA 2 iO •—i »-• ro i—* • a. X r*. •
—• 1— — •■ a o a UJ o o — — UJ i-H a r-« z a Jt * a •o — • in • _l UJ O _l UJ * UJ u. o > ~* o vO o —• UJ »- ^-■ a Q: *■ i— X > UJ O O t- tf« o < ^-t O a -• — ►—* >- a: * * • a: o a z l^ a: O U- ^H >- f- <o ~- ►- UJ o X -j H- _J a: a • M a.
^ r-t m * i < UJ z X d w UJ _J u a z —'H o z o • • O z — o Q. **• \j\ • < > < oc z — O -1 o » • XX« <"■ r-l ^ >- O rj o ~ m < ~- Q: o o -t m o o o • l— ^H •> f\j o o o o O »-i • _l o^ a CM
■-I * * r-l (\i o -< rr( *~4 o o * i-H f-H 1-1 ^H (M O O < * M o U. vO (TV U. O O X •> t ^ X o o o o o o >o X -• ^ 1 o 03 < -H CM xi o in • •-« ^H UJ LU • rH UJ •-< ixi id Oujinoujinujin m • rH »- u. II u? OUJ * — — — — 3 II .. ,0 - li a D O - 3 %» Z3 • 4- 3 • •* 3 • 3 - • >o — z UJ -«o r- D «o !- K- h- 1- Z oc iH m «-■ t— »—< V Z — t- Z Z m z m z in z .n m ~. i- ►-. ü: a z M
< < < < •—* o II — tu < i- »-* UJ < •—< o •—1 '— O — -' o •—* »^ •—4 *-* — UJ < oa. »—* o -■ UJ z x x z t- a > Q e- X ■-H k—• z »- t- X a. 1- 1- l-OH-f-QH-^-0>-0 Q K- Z _J _J •J3 z n »- »- ►- cc a: a: a: Z (X lO < — a U '^ z — a: o z Z < z < z < z < < •-« (ü -J _i Qi z •—1
o o O O O UJ X tu cc o o i-H u. o o: o H- o OOUJOOUJOOUJOUJ Lu o: o < < o u. a o o ct u. u. u. u. u »—J z a: 3 u. Q -J •—* VJ 36 U. (/) U ejuctouaejuaua a: at u. u u o — z a u 3
o o o o o H f-H o (^1 o o o o m o o •-t rsi tn <o o O r-l .H nj d ^t 1-4 in vO oo o o o o o o m in m »r> i-< « >o «o
u u
111
<4-in>o^-«o(>Or-<rMm4'ift<or^coo»0'4(>j(n^t'in<or-a>o>Ot-irM(n<^m<or<-«o»0'-ioi(<%4' 0OOaoooaoO9>O«O«(|tO<^O«OO«OOOOOOOOOO<-t>-i>Hi-«tH>-4«H<-«r.«f-ioi<M(Mr4rM
ooooooooooooooooooooooooooooooooooooooooo
r4(>|C4C4r4Nf>i(>ir>iojr«fVira(><NNriiNNc\i(>ir<l<>i(>i<>4NrMr>ir<ic^cii(>i<>iri|c>i(sirg(>4N(>l<>i X 00
X X
a UJ Ul
vO I
E a •-• a X • z <o o • • < —• IO • o o «1 o *^ iD co xo O m Q < a: O • Q: Q. o u. x 2 t- -1 < <o "*" •
o < z UJ X
Q o o • c*> a 'O *-4 Ü. V < • t0 •-■ "N u o
o z UJ ^^ 10
X cc u-~ -j <n X — u ~ • UJ ►- U (O ~ o • ^ <~ U f- u. a Q •-•►-< u. at o Cl X »- •-■ V ui z • -«>- i^ •- o i * »-4 * * a x UJ -> ^ r-l •> Ul • z Ift rH X • i-i iH UJ o 3: _j m H •-« O iH o • 3 H » ^-i ii II UJ • (O >- • »• a • n VJ o ►- •-• r-l n — w »-Nf XU. • u r>J «••XU}»
o • B « • r • »0 < l/) d -. • z • z ♦ Q — <-* ♦ — < «C <-. • >- 3 t- UJ »4 •» 4 •>. *M • z *H * -.« a ~. i0 10 ui «am »«■* »-4 Q^ ^-<
o < — -» X M w K ■~ 31 OC Z3 • Q UJ -s 1- — »~ — a: c t-< H^ Q — io a: O*- UJ •-« U. < 2 "s < (O (K O o <v u V) •a» • u CO x • Q. • O Q« a: «o x H- » • a a: • "^ X > »-4 t- x »- u. X CO Z < iO X Q UJ 1- Ü. X a: o a X — ■"" X « u - X « Q£ X — * I z «« w ^ •» UJ o t- ■*^ *» ^k Ä .<««>%««««. «-* «^ _j -« ^ Od rj — #% M« 4M ^^ o (SI Ul S2 o o o o o o o^ > o o o • • o OO O OO X I • o i l-t fH O O r^ r-« If» <HH- Z o u >-i r-t <n o X O •H r-i m «H Z < o o o OOOOlMOOOOO-i "-< o O OO Z CO o O O O O-i UJ (n ui o Ul o UJ> m m m m Mmmtniniojoao üj H- m m • ,_<•. m m m m m _i a: ** D <* 3 r-t Dt/) * • • •> x • • • • • < UJ 1- I-* 3a • * <( w a. • »•*•>. t- »- z — z z « u->»ninin<if\tf»iniAtf\3ta30 Z UJ m m — i- < m m mm m u io < ■>• o ►-< o « X «■* •■* *^ -«^ •-» ««* «« «^ «M* o •-4 * — — m < H- — z — — xa »- »- (- t- t-<QQOQ_/QQOOQ-J-l-i H- H-coao»-zujo 11 Q O O Q _J _J 5° z z z <<<<_|<<<<<_J-J-J z < < «acl<u<<<<_j_j OK o o oo o UJUJliJtlJ<UJUJUJUJUJ<<<0 o uuiae04>uji-ujujujuj<< u.«o u o uo u acirafleuaaceacruuuo u K o: 3i u. • tr •-« a a a: a: u u o o o o o o rsi J^ o o o o o r4 fM tn en <o •o u u u u
112
ooooo ooooooooooooooo o o o o o o o ooooooooooooooo
^ * ■* ■♦ ■* ■* >*• r>4 «M (M «M fM PM rj rsirsif>4(Mr\4r>jr>4(Mrgr>j(M(M(V(Mrsj
Z
X • 33 rg
2
IP
>o o u.
< <
X < UJ
3
■-> UJ
-< Q. Z M _J «<
'-« CD O QC H- Ul K
O II CD O m —. en P-I _j _j
— _j _i X << o
o
fNJ
3
<
UJ oc UJ I a
to O) to D « 3 ~ r « Q UJ Q < X < o: x
•jj (ü ^* Q* (K •~ O »-4 UJ o o »
O X <-" .* o o a o >o x O UJ to if» • <-i i-i ^ ►-« • «o —<
2 X m — i- O •-■ UJ — UJ < H- »- i a H- £
r < « QE: o o UJ o: c o u a: 3; u-
X -J
Q *
U. <
— X X •
<
LU
«a
UJ
II •-
— to U 10 2 I- X I-
u.
H to *■* z • < . ce •- to f- - 3: a: o »- « a. •
U. X to i^ — X
o o o o »-• <-•
— 3 ooo Z O üJ in in in uj -j r> • • • X ü- z m m m
_J _j H- Q O O _J _i z < < < < < O UJ LU uJ c; u u o: at a
O O r^ m f-<»- z O O O _l ►- < O m ir. _i o o: O '• • < uj i— •-»
m m 2 CD O O O Q _J _J _J >- < < -1 _J «I UJ UJ < < < O a: a u u u o
o m
o o
o o
yj KJ U
i- o "* z — « o 3 O
O uj < in 3 l- • • z -j in o •-• UJ — II I- o o -« z < -< a uj to u ai x
o o m
u
UL x « *-• i_i tO I/) » X x< • • ^ a a LU UJ uJ -I UJ UJaJ 3 3 Q to «/) • • • »-«<; < i^i I X X OL a _I _I -Jixl < <Q — O OOO -i --i m ooo in m •
• • • <o O m m — it — ^ UJ
»-< QO t- < << « i- üJUJ a: UJ cr ex 3
-^ jj
tO ^ X v. I X •* o » X X rsi i^ •*
• X a -o UJ • ui ■-; 3 ^-
r -i m uj • O X X
< x I o c^ • _1 — < tO I X m _i • uJ x a co x
x IP 00 Z • —• u. 3 <
l- < UJ t- X _J -* UJ • a x O ao X •
; -H u.
< H- H- < UJ £ -i a UJ O Q U. rH i
o o m *o
o r-«
m
O
o z o • — I-
< < o o t- UJ UJ O _j a: • in UJ »- • Q i/5 u m
i -J -J — Q -J -J w < < < u. ui u u •-• a:
113
,0*«f.r.r>.ror-r-ror»r*r><B«o««o«)cooeo«o«O'Oto«o»oio>o>Ok»o>oooooooo ooooooooooooooooooooooooooooooocooooooooo
z z
9 H
• •M • • * ^* t- -»— M
f- < z s »- X oc • • X « 3 _ rH ,4 •
— — •-• *«* • X -> « ■ -~. *» ^4 »-•- ■ «o— t- M • X -• •-• ►-»- « xz« < u. «c K ■— ~ -< • • • X z •« • * • »- w: ►- • X Z M F*~«. •> • • ^4<-» — ui « m UJ K • •->«-> T <H i-4 «^ ■ in O^ o • Q rt ^ • "1 • • o ■ ■ -» Ml-« • • • tft h* • ■ « ■". • »« i» •H •^ M • • AM UJ •-» « U. M 1 -) -><-«' « • • tM a* M w Z • O w> < • • — -i UJO: «»«>«» •«« a < — H- M U*--—— X-»<«/) o •M »« _J w- J oe« • ^-UM-)<K»-IO »- -.- _J Ht- < K- O »- M •«-~.xZlUUi_J »->-»-< •-•< 9 a O o z • i».-><<cDXtt:uJOz«< x
u • a. • z «« w) i- ^ x Ka > o • (ÄH» K u X U. K —»- •UJXUiUil-«- — %. ^^ H- XW - » «••»•» ►- »« ^- -*x UIX K«-«--"-'-^0 »-« X --' *• »-
4m, 0m ^^ •* •* «^«« ** z 4M«.
oeo O • OO O • <M »m oooeeooo? • «oo o Q i-l ■-• 1-4 o oo oo
o r-f »N «-« •-• r* IA »-• OC O ►- z
§ i A >-l^^^4^(r4r4< 0 •-4 oo oo O ■ U OOW W Jl » ~< e oooooooa: ui o m IA IA N uj m »• xumjinA> • _i wo ooc Uul<iAlAlAlAlAiAiAlA3 • iniAlAlAAIUJtftUI • •••AD ft »- 3 3 • • *• < 3 J W>- •HI 3UJ • • » »-« 3 • 3 mm m Ztntni zziAi«ou»«äi,«oc» ZQClAlAtAlAlAlAlAlAOUlAlAlAlA ZiA£ «.» « o Mt — »■« — ^i ■-■ — ^ »_ I-« o •X *~ K %* «i^ *^ 'w^ Ö fe-« w >>■ OQOt- »- ot
« z z<3 -j —i » O OUJUJ < n. <
K_l -1 -J t- »- «^o o o a aoa a i- ►-• o OO o »-»- 3* UI o 5 < El JI_J 5 <<<<<<<<< **• <<<< i ULi o < < o UiUJUIUJUJilJuJUJ0£U.UJLÜUJUJO
«Kocoufleai-uuaedeuMuuuuuo u acaeocaeacaeacoes »^ aeaasaeouacu o «A O lA S o o »•* •M N O r-l Ol m •A «ft ■A <« « «o
114
r>jrsjrycs!f^(Nrvir>irgry|r\jrsjrs«f^rsirgrari4rg(\irvjr\ir\irsir^r>jrsjr^r^rjr^fgrsirvrv4rvjrgf\i(^ oooooooooooooooooooooooooooooooooooooooooo
r4r4ra(>ir4c\irgr>ir\irNir^c>ir^A4(>i(>ir4rsirsio4rgr4r4r4r4r4Nrsjr\<rNi(\jr\jryir4cvryir>irsir^fvr4r^
U-) ~ ^- < u. < ►- >£ t— iu » in üJ a ^4 rg • • H •O ►- Ifl « *-« z • O U) < •-« >- X a. -• • K- — O t- ac o o z • a m
u. X ~ H J^ V- •H S •-4
■m* *~* «M- •^ ooxo • rg * If» r-« <a: a h- ^-i z o O OüJ UJ LÜ _J O II U JS — < O m «n o: > • _i to -< 3:UJ O O Qi O * • K-t < ^5 l- 3 JÜJ K f-t m m wo u X in It Z U. (D O *^ *** t- O ,-1 _ M Q
ao -J -j « _J 1- <o-• t- -J _J -J f- < < _J -i — -1 wZ _J J J ujuj<<u.<ooa!0<<<o a: a u u •-•uc»o»-uuuuo
m m o m-H «n \0 O <Q
■y) X
— Z — ,» > • > > 10 i/y OT CO X — X X z • z z ♦ ^» • * (/)-• f) uQ »—* •—■ *-e •—•
• a: • • —i* — < MW <-<.
(^ -< f- ►-• »-*
•-• tO (/) — LO ~~ ~^ « ^* * »-• ft-4 or x cr a: I/) 1/5 ^M • « < • < < i— — It t-t r-l O »- t- t- • «. M || || ^
X X »- i^ to X X »« — ••< Q • Hi • •
•^-' -• ot + WX 1/5 cO «-* • . w _ „ rs — a »- Q a -«
CO —. —. i/) • *-• • • o o rH Z -• — 1- W </) X X %^ Wio a a: — _J o — — uiQüiao ÜC X X • • i^ UJ -< ^) i/) X o o • N. < M> >— CO u? X > ►-coxa, I-OQ:« •~ K a a X X 1 v •-•MWVV«.VX •-* *«< tO ^ _i_i w ««» -~ o o .— . X «41 X •-« CD iO a CL en ** zoooocoo 1 »-4 « H >»> H- t- _j _i — i- O O r* r* i-4 r4 r* r-i X r 1 *- o: • • N It CO CQ ^^ •« •*> iO < U OOOOOCOiO II II f-l < o o f- ►- ?H fM r^ X (X.
UJ m in in m u^ m in *~* —» *—< + »- It 1! —i •-■ 11 II IÜ w w w - z> ^^••»•••» •— f-( «H i-^ irt *-. » •» w >-> *m 3 *rt (^ «0 ♦ II ZOininininiTiininio ♦ Srf o — X •^ •"• X Ifl ft-4 »-4 z a a a m O ►^j^- . X l-t ££ (M QC it w w (X < w ~> —i ti II II • •->• »-u-QOOOOOO —> »»4 < f- < -» X X <S)h- »—1 H^ >- ^» — -» « »- Z <<<<<<< u N H- K- *■* »-• < UJ UJ o ac z rH rvi to Q. < O UlLüUJLÜUJlLlUJ w t~t w o w Ne* w t- ax oo o — •w ■— x a: u accaacaact •-• »-4 XQ K X xiDai-OQ:uaa.aQD
o o o fM r^ C-
u
113
o<-icM(*\«in<or<>oo^o-(r^!*i4'iA<or^(oo>o^4(M(n>tin<or>co(hO'ioj(<>4'in>ora'(0(hO
ooooooooooooooooooooooooooooooooooooooooo
Ui
— VJ — ! U 1- U. »-« *
M •> *
• t-« p-t
-i 11 N i M lO"-» Ml • Z • • «.«.<«.
— «IO a:« 1 M ^ j H-^. 1 - OH» CCO
u «o x • * a h-X 1- CO Ü. K •-— « x ^ —
! QOOrH OO 0«H <-•>- m IH z o eoo-i oox -< ( i ininm-itnmooac di • ••<«»_JUJ»-^» mtn m 3B m m u. (0 a — — ^ —.«. o OQ 0_JQa_l_IJ>- << < -1 < < -I _l _J UJUi UJ< UilU < < < o acaeixuKaeuuuo
y) ■~ « O «/)
*-» -^ i/) • »M« ^« i/i {/} — r-t * •
O >-< 1-4 • || .H l-l M • • r4 »I M II
< N | M «. • • a: «•-. •« — -.x 3 * • »^ ■»•»-«•-• o
Q^ — ioujQa:-«
to«-xa3t-Qa: — «H— — — «- — — (/>
UiQOOOOOOO I voooeoooooio ujZirtmtninmmifkinM
3 < • • • • • • ••«« ZCKtnmtAinmininmiA N^ ^— *w« «^ ** ^M» «^ «^ «^ ** X
t-OQQQOOQOQ- X <<<<<<<<« O lijUJlUUJUJüJUJUJ« u a a: a a: a: a o: a « o o
X 11
-«< ■ »- -«to »■* X
z o
x Ui
X _' v/) a. o • a.
CM • X <-« »>*rH --
♦ UJ — — —UJ »/) I-« ,-1 ■• ^» .H »-« ~ -.< uj — — «/» — Ui — I VO «/) O. r^ 3< h- Q QJ
••H-lJlOO oo — voiuj-^oa: H N^UiNX«-4n M
»HrlX ■ f-»U)»/)«-»f-« *--.J-- < XXl/)f-«UJ_JH-'-«—« ►-<Q.-'UiJUJQQt ««»-OUiw<XOO xui(L3<L;»-oa:
X o ♦
a:
• «/) (M X II H
> X — z > • o
«A X
< — t- — i/) a: x < • i-
a. x io ^ X Ui - D a. • -I W) 03 X
a • • • a. < oo ~ _( M -~ H « II ■-■ CO
o— x »-<<-« x a <V0£ M — -. _! — CO < — X X U) «-I
I— ■»<■-( ^ g^ w O (/)"«/> H> O UI Q X X K Ui a D
u u
116
•Hr<jrr»^in^is-oo(7>o.-<(\i««»^in>of~aoi>o>-<<Ni<*>-*iAv6r~<o<>Oi-*rs(-o4'in<Oi^ao(>0»-»f>i 0»0>CO»0>0^'J>^0000000000<^<-«<-^'^'-«'-««-«<-«>-*<^'Nir,4rg''Mrgo|fMrMOjr^m<Ot*»
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
c^f^i>irsjr>*rvjrafNjo^ryjf^r\jr»i«>ir«j<>jrgr>jr^^jfMr«r\j«>jf4ojfgr<r4P4Mrsir\jo*rvir^r^<>|<>|rgf^
Z o
o (X.
ct <
z aJ —a
< _l
UJ — tU -~ X > -1 v/) o «^ ai v • x ~ -» Z) z - z > > o -• •-• • LO U) Cl tO — ^/l >I X X X >-« .2 Z s: z UJ • • • i- a • — K -» tfl '0 X o >- o FSj ■-< *■* ^4 o u. z m • ««••. UJ oc • • — a ^ ., CO UJ X o «.<»-■ — — * a z m .*»_-. «^ — u _! '- * w x ifl a o; u K X li. O V M _J x < < ►- *1 O ^ ►- • ISI cO • >~ i- *~4 * UJ • x • Q. tO !/) i/) • ■-« tQ r-l Q. • — O »- X X —" N • n -I r>« >- o
• a, LU • • !t -• </) >-« CD M Z <M fvj • I tO vO •-« * z • O »- • — o »-• >s — »- O CK * .*» ->< « tn V >- a 4- * rg—i • O O —• *-* i/5 a •-• !D <Si •>- >- to •• o ♦ — to o a: _i •-• —>• xi—• n UJ • •> * o r- ♦ UJ X • • UJ — W >- CC O in ^ X -~ o m * — UJ — lO iO > u «^ 31 • • a (Ni 3 X X N • o — »- a x x V K X 1- i/) Ü. X oo - z * o CD
ujw co a. a 3< 1 1 _J
O-i »-* *-» x *: - * :*: a. a. — U t- h- X UJ CO CD X
o o — t- o oo i-4 O O rg ^* ■^
1 V9 K CQ CO 2§ iH <-» 1- üT» ^1 00 z O Q a o •». X X X UJ — >- »- OO_J oo -^ •-^ < o z •H o z — o z H Z •-< II II ai D in trim_imin_iuJOUJoiO z z o «^ — r»- uj — uj x r«- UJ — ** O ** *^ '^ 3 n • • • < • • X 3 UJ D \- l-l o o -« X r-» rl DX D Z »H 3 K •-• i/) 10 •"• >-• ZO^oMnsminozaizo M M (/} X ~' ZX Z X — Z X w < — w *^ ft-4 «>* **• -w «^ -*■ UJ •-* N-* o a. ►- »- z 1 rH X • O ►-• 1 •-> z X • O — 1 U _J K — -« f-l-QQOJQQ0Ü»-_J ►- _) H- H- U U UJ O X -I H X O 1- H- X -< 1- II X O 1- 1- X IU_IUIOO:2:<<<<J<< « Z -I Z -I oai z z r II — H i^ tt N Z ~ II Z (/) U H Z — "-<XOOOQ:UJUJUJ<üJUJU.O<O<OZQ3D-' _J U. -1 X ft <N O OU, _l O X •^ <N o o u. <u»-aau3ü:QiQ:uo£a: •-« U U U U O UJ a. u. Q
1 1 X »-• X z X X O U •-• X U Z X X o u •-■
O m O o o O O o o fX OJ «^ u. rH CJ fn >t in * «» co OD OD
M U U
117
ooooooooooooooooooooooooooooooooooooooooo
c«if\l(>lfsiMf\ir^cNjf^r4r^r^o«iNiC4rg«Hr«c<r*lc<r«*oir<<>«r^r«<^i>»r«if«i»>*p>jr<fv<Ni<vc>if>i«Ni«>4
• r-« UJ
X oo
• fM »-• UJ
II
r in
X -*- z u ^ — z -~ >- X uj z X X >- • • IA z > X >s • z z a > • ~ • o z > ^
o o — a: — • • X r-l * -t K ir\ > — 1 I-« l-l — UJ • • rl C\J • • X rg — ♦ X o o x a <-• 10 U) -' o <£ OJ • K UJ X OX "v r-l fH r« x m • Z eo Z - • » ^ »a • i-l • x o o • Z I M ^ • l-l 1 o m M — O •>* O — ra ^ iH •H p» o -^ — isj 0> ISI K
N ^ N • u
«« tf« «-»M • I UJ » .«. «w «» --* • o o ♦ • • • * o U) o z PH O z o rH o l>*<«I • >• o>. - s K r- tu — O— + P-IU UJ — «» — 1 r^ •»» UJ r* •r-i<nuj>"^>x Z ^^ O X O Z Z »-ID 3X -•z z f* r-i z 3 ^ 4» - - 3-^-1 rg <- 1 Z X — z Z X ^# •_• 1 —• z *. ^ K • z a -a. ac M Z x »o «s)*-) i f-i O X X z o -• W)~ 1 r^ O X X Z O X • z »t JUJ < -
Xl~-Z X »-I J fM .J — o N a a.
X ON- K ►- K i ►- X X B H t- X ♦- X + H- X X i h- X o 11 H- »- 00 X CO 1 »- X Q. 3 -i H a z z ~ z ■ ■ U) Z
O >^ <M X oo z z- z N ■ '/) u N (/> i -«ot Z K — »•"■ Ot II 1- t- Q CD
^* «V O H Ott. H M Ott. 1 0*M fi K O rH CNJ X u.aoxo«u.H n o CD UJ Z h- X X o z u« ZÖXXZOUZVJ-i ZOKXZOKXZU •••xu.<nux~>a:rgoNiaaeujK —j ■ i
o o o s o o o o o o o rx o tf> o oo r- oo o> •H M «n -«• lA vO r- r- •-• p. oo 9, O u.
r-i •X l-t <-l •■4 fH IT« r-l r* o «
|H I-» fH OJ (O
118
k
I oooooooooooooooooooooooooooooooooooooooooo
f>ir>4r4r4^^(>4r>irg(Nr>)f>irs«fN4r^r>ir«ii>jrvir4r^r4r\|r4rs|^r4CNNr\jr4r>*N(>ir«jrgrsjrgivrgrsi<>i
UJ Z
O a:
<
Z
u I
z u. 00 (O < < z >- t— o z z-> • <-» t— X ►- < • > ij
>- —Ü. • CD ■-< I- < Q X f-O - zac a — j t- < (O x t- ui
z ^^ z o O ►- «/) >-• I/) « t-ZI U UJ l- Z X
u- a
x i X
* m » • *
a:
* *
X X •■0 < Z to X t-
Q- •-• oo in < tu Ul X UL >^ I o:»- I »- o X X t-a LU h- Z 111
* «• * * m • *
z rg m r- t- h- r- r^ • aJ ^M tn f^ 00 (^ (t\ (T, ~ a: -i h- r- <M u rg ■« ^
z »—* *M« "W ■«# ■«^ ■K^ «MT *— —■ •—«
< < < < < < < » X — «— — V- w. _*_>«•. a <*■
•- < — -~ — -~ — >— ^.
o X x — < »^^ < Q: < ^- t— u. z — X l/) "— UJ < »— < o: ►-• UJ — I X cc iS) t- O tO oc • H- Q 3 x uj a: x a. —
<n
fM
• »- O X H I >- K _l O — UJ II U.
X I • •*£*••»
<-• * -«oini^-r-f-r*- •f a. «-^^fofn^oofloz »-• • rH |^ ^ ^ • — >-« •-< i/\ a) •— i- a — cv K -vO •-
<D •"• I/) < w ^ • — UJUJ"-« •••••••>< • 0»»HO»^ *— Z* •-<
in »rH^H — 0<'-'— -»——■'-— -» — — • o*»»- a _J _) o ••
<<> OfM-H >-V UJDXOiO a—.-~ ~ r^ -^ t-l |_| >U<<0<U. -"< ä •••» — uj i/«_«ujr^>-<<Qh-a: co r*- r- •-» r-t Q uQ<aC'**xti-<-**-ov)(L < — — ri + 4- UJ U»- — UJOUJXUiOXXXZ t- «• —■ + »-• ««■ QUJ i/)<U»»»» -'*•••
OZ O Z •-• « O— Z ZO N> Z-~ ~ . o«" o «* •- — OH- — ►-'OiOOLiJO(,'>-<"r*r--h-r>-'-<oD r-tt- >-* t~ >- H- --IV K O»-UJZv._)f-4f-(<«>00«0crW
xcD xxx «->-za:D>OZ< o^ CM t- Ol <0 l^l^j^o« Mat UJO'-'-IO> «nr-»
»H H-x h-1- XIX4-K+»-V a. 3 >a:Ci<x-" lr-i —•IHZ zwi-.»,«.-.!-! jMjt-O'-ia) xrs*-" —»-w~<< II IIOUuH HOHU.HU.IILLllOüJllflDUJZQD 0O<<<<<<<->» XZO'-»XZO'-''-'-«>-«>-«'-'ZOOZt-0CUJ iO uui— — >----' — — »,w
r-l f-4 1-4 O U. r-t CO
u u t« u u
119
<or^<oo«o«-«(M(n4'in<or>-(o<>0'4rsi(n4-in^>r~«oo»o>H(Mm-^m^r^a><hO'4rM<«\-#m<o
ooooooooooooooooooooooooooooooooooooooooo
O «n
iO X • ^* <v • o lt\ r- W
O < .— t- o uj »m I or »- m— m • wo: —
— «< a eg </> >- • • XU> — O • X o u> »m fw »»t«
^— w oo- Q o m m to < X - •< W-*
»- • < Ot~ z UJ -~ t-iAUJ • I rg u —X »■* < »- m • CCt~ it H- • o ->«) • -> <
«M m o«/) — • Q r- r> m tu o <« «n — w r- o: m z UI h-»/) o —a f* Z M< < x - fH »>4
K t- < -• N -1 w ÜJ UJ f- ae M4 z <I • UJ o • < — K- - I a: ••» UJ
• <M H- • -« "I a •X • • —. O • i-
< o -> o m »^ cO — ♦- mo m — «^ ««
Ui f- «r f» X QC -1 •M
I - h> - < tO < ^ t- O - «X 10 z X w «x a < UJ »Ml >-«
U) • • O H- Q£ V9 nj U) Q.UJ X » — Q UI a. »« « X • u oo ** g • ■ -.« «^ r* «• r*ui en — N <M tt-i »Ml «^ «>» 1^ »^ <n UI »4 •
tn< «0 X X i0 CO O- > *>4
»4> z <Q:Z z ZUI <- O- »«•-• UJ (~ IOUI ui M K- O(0M •«o -3 z uüuiz z »•- ■ ■ l-f
<o ■i • a: M i^ UJOf X «MO V) — IU Q '-O.Q o o: »z - a x CO »H nj
tn
x — < — UJ x z < K H- •* ■ UJ «^ —. ■ — m -•x • tv n — u. • -»—x
•-• «VO »i — •< OJ o •-•»- to <~ui~ KOI 10 UJX »- X
UI
< UJ ac »o
UJ o Z -I
z o u
> X z
•I o lO x o X < — z — < rH I- «^ UJ < • lO ►- (O
•-• < Ui < tO ►- »- X Ui • UI — O H- o z a I o ♦ <
U. _J Nl • IM UJ < OD < < UiCE h- H-I^U. K Dl- UJ^ II UI<UI ZU) II H X N H- ■ « (M>ZU.UiU.^»-_l <tO < < «-< ■ Z -i H-X»-»-U,KXO< UIZUiUiMUJZUU
m
X < »- UJ I X X
-«< «o X UI II II — ^ -.— X •
nj CM
o o
fM lO
to X
^ (O I- «> N
• I-l rt I-f • * •—»
« o H« CM i ^o tOK
X Ui
•-i u. ui i-t m - X 3 «O 4- O H Z M < »Hl-I iOO H tO >- K I- Ul »- Z — I u)0 U. O »- X u « o
o
u
120
f^flBOOr^tMr^4-inof^fl(>o>Of-i<Mco4,iA>or^a)o>o»^tMro^»,ii><OP-aijovo«-««M<«>'*in«i-oo
oooooooooooooooooooooooooooooooooooooooooo
C4r* r* rst tv r* C4 <v <v r* rv t* tv C4 r* ry et <v fv r* (v C4 r<4 (V r* et r<t f* C4 fit r* e* r* c<4 c* (-4 *l IH 04 r* t>4 r* X —
>- X '-"
< • H,
s: x - o: • —< D. < I/)
»- X X ai • <> I «
■N X — rj
O" ^ * UJ • < »-* ~ _l« t- «^ rg O U) Ul Q <S) Z X X < z < I f- »- •
<0 X UJ <NJ i • m X —• — OX» 1- tO • -» rg -1 0 X * »- — rg to u. -< —< ~ z —• -0 Z — —.
N. r-4 (M — Ui —. Z •^-1 rg Q ->. • » s\ X X. * pg iO -r) Z ui X »-^ • UJ < rg « 2 2 < 2 X w (M tK 1- #-« « • *
•— «-< 0 i^t ^ tO • — rH CJ
1/) J " X UJ Z X .-**——, ^-. UJ X X • ■* •-< • 1-^ -w. Ä • 1- < o^ ~ * ~ — ^ tO tO < UJ • fNJ X X «M cc < — •-« 2. a < * Oi Q * < H- tO tO — t~ >- »-• • rH »-«OX X O tO UJ —• — in 1- — tO X • * a: x a f~* •-<• < Q X • —' »> O >- «n < * * < • ~ f-l OJ O a: • t- — X »-« 1- — rg • • rg u < X UJ — 0 a UJ f\< • -1 r-* 4
« o> * O r-< ■N X • l»l w w
UJ _J • —• < • a 1- -H - O Q O z - - fM h- m • • - Q < < t- ►-« X to * UJ • < --» X Q< h- t~ r-t
»n U 3 X i~* X rg »— <MQ « 1— UJ UJ ■♦ O f-l r-l «\ Z < I —. »- r-« u • + 75 UJ • • O • • •-. -«. < X rn Q • UJ 1 I-« X • -» -~ O •^ i-iO «V r* tu 0 • 1^4 — •» ^- «^ »"^ • '- 1-4 f>g 1
1 1 t- » • o: 04 CO f-< •> • X 0 —> rg • • rg *~i »—1 r-« CM H • X X • X ►- a X IX. rg • r^ -» O < w w O .— «• to X f-- • —t rg * * •M> < • fH — -Oi- 000 0 a I * rg >~t » • a. • a 1- rH — Q O UJ -• < — < ~ |s. -n • »» O m <*\ _j •O 0« - a « »■^ **
tO H- — V/) K- O cr» • < (VOX« UJ i (M CD X ■* O X 1/) to O • X [liCM X UJ O • H « 0 • • t- p-< *-• •-" H- u t«- X — X X t- N II II II -• OUI UJ • rg — < x eg • II **^ . — Q. — " • _J ^ ^-* • «« ** «01 z x --" «0 rH x _i II • T-g — p-t ^«a -J Q. a H- •
UJ U r-) f-« UJ OUJ -> ^ UJ • ^ _, >_ II • • .HUJ rs *% rg UJ 11 -• + II -J CD -1 -J 0 D-H 3 • • _l co D • • D*-_J X « « •-•«-DU r-l >-• D I—« <W w^ — 00 H- CO CD • <-• Z -f Z M •-• • Z »-«rH Z — 1- X m «• — H- z -J w »» Z to w 1- 1- h- < >-• fH ■-. w w ^» O ^ ^ ^ *-l UJ < < » rg UJ Q < •-* < r-l I-* —< r-l o: a »-4 -H < ÜC r^ O H It II B X 1- KM <-( 1- 3 o« 1 H»-00»-l-XUJX M(-< X i-u H H 11 H < X 1- m i- < 11 0 m to to •-• rg z uj Z H »-• ST -« < — ►-• z -« < Z « a oe -^ »—« i- ac z tO »0 AJ •H 1- n Z UJ ^ rg R — < < < — w O-H II O to K U. II ootot-oaoi-'^ 0 a UJ 0 O x >- to m tO UL 0 0 X tO to -■otfli-1-i-ü.u. U« «■• 'vJ X lü •-• «-• OUXUJU»lt.O • Q 31 • Ü. u Z Z Z Z X X O Q K XZ Z Q X tu UJ UJ •-• •-•
rM nj r-t ri 0 (A in O O rvi 4- 1-«
N fO tn ^ 0 OrH eg «0
-«• in
121
OkOOOOoooooo>'4rN'4»4>^'**'<4v«v4*«i^f<4c4<^ctc4<^(M(^(MO*tmfOfrtmi*mmA •*m«\intfMr\K\inintf>iA>n<ninmiA«ntfi<f\tAtniAiAm«A«AiAiAirkiniAinm«nmintniAiAiniA ooooooooooooooooooooooooooooooooooooooooo
CM >- Z
10
o ae
«n UJ
-I X X <a Ui ♦
io a -> ♦-• ^- *-<
«^ «o — xi a:
eox •OI R
UJ • »^o
ooco to U % li. K
l~»
o
< UJ
w ♦
o
o
a 4- uj o^ujp <<>
I- z< z o W>0**^"0,,^'^Z Xl-l-UJt-HZM • z« z — s
— OOU. OO UL UJ XOUXOVJMK
4r •*
i -»
5/
to «o IU Of o. — «n «to
Ui UJ an ec
ui z
Ui
o 00
o »H
oo o
8 «0< <« •- O »- KO Z U UJ UI u
o o < -~ z -.— o • M oj IM O Q
•4 «4 Ml •» • Qf CM <- ~ -O (- O •-< Q Q — O
• •^ < M • • ui «-«iO K • a ae a XUJM UJ o
uj o — ■ » — UJ ••-• 3H- — — OO I- z to O"» M x zge < t-tUJOv«« ■ »-i Q. QC l-OJiHXX—t-Z3 Z M. < ►* » — -» O O W K — O u. u. U QXUIKUMM
4■ oo «A <e s
122
oooooooo- oooooooocoooooooooooooooooooo
m « r- a o< o r-i r» r* r- • oo ir\ m m m«n
_ o o o o o
< is»
I
UJ
X in
UJ -I CO <
u. o UJ m O • z «M < r-< tX UJ
fH «M m
x x a: ac UJ UJ Of oc a a N II
IH OJ
a a.
UJ UJ K D Q. X Z ^ M Q « QC «- H t- 3 O O. Z t~ «-HOW a. o u a:
o «D
10 M Z » M Z *
Nl
N
O N z z
^ M ~ U UL < UJ (si O UJ
z z «o s» *■«
a o z z a ut o
o M a) x n z u. 3— j uj too x:
t~ u. CO
«ft
o
o fM
c
o
o
o P«J
o
o
o
o
o o
o
o
o in
MZ z •-• K
<»- — MO X • z .*
M • Z UJ M
— — W) — — M ^ —• "* ez oz z < I-« < «-« < r-l < Q> rsl Nl Nl N I N l^-^OI ZOIWI^O
Nl I Ht-Nj^Rt-NNlNl I K -«U) —HO) - Z • Z li.-JNIOU.-JrgOU.HU.HO — XZO-«XZO-'Z«ZO
oo <-* P>J
o oo <n <•« O O O G <o co o« o
< M
«J) I M N z — It u. z«
oo
o
I
in
O «•
m UJf» UJ
rHOZOZ>~>_jM 41-HKHh-X»- Z W «A Z — Z H ONIONIOU.O zozozu^u
— co -<<
<o:
* > NT.
o«n I-* » oo «X • c«
«O -' — H" UJ < t-Z
a o 5 U.
< Nl
X
■A •
«-4 UJ
U u
o o o o m o 4- »n «or- r» r4 r* r4 ^H iH «H O
Ul 3 Z z z < HI ae ui t- 3 QC Z ►- Q K- O UJZ (O u ae ui
O H- 00 u. i-t to
123
coao<scatscoooao(7>a«<7>o o* 9> 0* o> & o* oooooooooo f-4»-ir^»-«r-«-<»^rH^r-«cjfW(M if\in>Ainininir\>AirtininiAti%iAiniAifitr><o«o>o>OiO<oo4><4)<o<o<OiO,00«o<o<o<04>iO<o>o ooooooooooooooooooooooooooooooooooooooooo
♦ ^♦♦•#4-4--*4'4-4-***<^ 4- 4- •f'f-t-*'**-**,**-*'*'*-*-*-**-*'*-*-*
o .A "v
UJ r- *-• U ». » i/)
z O X X UJ m • X o *-* * -^^ tn ac ■-* o o • UJ K tO m n X > £ X X — f* 0» — — oo — _i UJ — r-l
a u. i/) x </) uj co XX H- K Q X MM«
< X t- —
a • * * » * * * UJ U) »» z >M X X < < co r- r^ r>- ao r-
tT\tr\ CO ao CO -r
Ul UJ f-( o» ^ — o • a: tn » o m ■-•
D *-- tn r^ •^ 10 < «tf w X 10 <<<<<< *■* X X » UJ *— z < UJ «« <M X 03 t- < ON z a • I UJ
UJ
• * .-1 • «% —». «•■» «-» *«• ^-. *-» • ««> I H «-* x
iO K WO -~ o »- <o II wj < < O iT» » < t- U.U. Z t- tO m r» ~ X «_ 00 • < «t« < UJ« ~ ~ o •O 1 rt M
z »-iO f- I tO x to m r-t a #^ a • -) •-• UJX UJ X H- X Z < x r^ v. «S. •-• m • X a Q • • • • <k tk •> Z • - ♦ Q >. <-' • — >0 ►l
a: •n < -» X * * Ul <N CM i-l ,^
8 cnm r^ t>- r~- f- rvi f- o < * — (O < ^ z ^ UJ r-« <0 C^ ^ C% (*% »» UJ iTl ►- ♦ ON UJ t- Ul • in <
u rH (M fM f* tO • f~ UJ * • _1 UJ & p-i -* ►- in o O < X * -HO X • Z (M UJ
aJ ~ -H •^ t- O ^ t- X II z K * 11 r-4 I Z O < UJ lA •-« • « -i < -t UJ 1- t—* f-i <<<<<< »-4 X - i/) -> * o • • I o • ON -I >— ^^ »- < X o oo o> — UJ -~ IM 00 — • • z < •»- • m .-« — z -) • -« X M
< •MI * XUJ — r^ v o -« — >♦ o w « -> Ul
ZQC » < • o-
Ul o f- »- CD
1- « J
o x< « < • 1- -4 UJ r-l
»- •-4 r-«
X -•
*^ o UJ o
< 1—
UJtO o < yf) X m — ui — * a — uj < UJ o — •/) UJ oc <o t- X i^h- 1 OX CO »1 00 Of 00 •"« • X »-I/) 1/) f-t < UJ < < l'i — ►-«<>- rt n «r» — — ►- .-• o< — — X <m,
tOUJ X eH x»-> t- I ►- K x iO I- • — -4 ON •HO«/)» •^ ►- eg o en o *~ UJ — UJQXUJI-UJUJI- X ul x ui •-> o » PlJ ooxz out z fM «Z ^
UJ< K- < U Z_IUJ>s Z. ~*T>X O UJ
• u o z £ 3 " 3 uJ O O r- O
** • If»
• OX «0 O <0 0» 'H Ul • iH N.
• «o ox • «oo» ^ • -H II
c ^ *■ r» r- r- f» t- r-i ^^ i-» • x
II « * UJ Ul Ul >o • UJ m
t-KJ < vjfHfnaoomaoo .J M4 1^ ^ N-l a H • « — «m — — -j -j_IO>Ov»0 — ->,fl-3rt D-JOC Z < rur* ■♦ r* < 10 VO */) (/) ««^ z —»- • t- z z • -f + - »- •~ z o< < ^i «o oo r» > z z < z < l-UJ<<MOUJ<w< Ml l-f pg UJ < O UJ -• O KU a *-^ «-> UJ UJ >- Ul < •M -t-T-* rHj- X »- .H O» h- Z Z Z I- Z N 1- »- 1-
CO li OXZUJZi-O w MI ac uj ►-• Q£ Z II H Z - H a •-• oe »i z 3 << < < < < < l-< O "■<•-• I •■* < < u.(rOo>oixoo ^ «M O Ü. iH CMQ: oooi O o U) U UJ **. w w w v w w w ÜJ Q Q t- Q Q a « 31 U. O X U. u z z u *»zxxu.oxuo
fH <NJ cn ^ in ^o r* «o ^-l
8 oo m o o •H ft •^ CM CNJ
o o o «p ^J »0 u u u
124
oooooooooooooooocooooooooooooooooooooooooo
•*'■**■* 4 **** + * + j* ***** * *•*•*** 4 4 * 4 <t *•*•*•* 4 •*■**■*•**•* *
X z
>-
cO
ÖUJ
z z »-• o •-• h- »-• t- »- O Z H Z N O»- OOt-
Z t/) »H X UJ • *« XllflH>Hr4 O
z « a ■>u)<<coio^'H
U-^ZZKZXK-ZZ — K
H ■ ft IS) < t-l
t- tO Ul < • 1-
.*> •« UJ ~ ^ X • UJ X >- < z z o o H z z — »- < < ■ II r\i • « r-4 UI « « « < i/) XZ-+- X Q Cl (O »- < • ••-•>->- H- < < x uj 1-
r^ ^ + Z Z ~ • ae a o a Ul !/)»/)>- • •>••-• V 'S « < Z ^^« Z U) »-< rH ~ — m U) t- • -f -f • X «/>«/)••< • •-• X UJ X K X X • CO CO O Ol- O v/> • •ZZZZ<'H XI UI X M<*.wv«.h-l/) H- K • ♦ O o Q l/)l_UJUJUJUJUJCOU.U. «-' — UI UU 1 UJ 1 XUi<<<<«'Z M* < i/) Z _i -i -« _l ^
u. u. — «-t-H-h-t-at- *rt 1- O « • • </) • </) X (M «- < o a ui a» ui uj >- K X UI u »^ < — O 10 »/> >- zzzxiiao« N N • UI * * -t r-H~ rt *0 ♦ « K UJ •-'•-'»-»-t-l-OiH «■* -■*. O 3 X X «O O UJ tO X r-l tO N i U.U.N ■«■«<- t-« ft N ZO O a « N « II Jl X •H t-« •H OJ m # fH »/) *^ « ««• '-««IXMXOJXH (^ «/) -l_Jt-h-Kt-tOKO<^ -< *-<- < t- *~ w i~ </) n o M < -i_IUJU/UJUJ«»UI "-• < ^» zo ►- < — •-• OJ < tfl K <<riixxxio ►- (/) O X UI U. U. 1- U. I/) «/) >- X HI UUK>-h-l-»-t-XUJXUQÖ-«'-'UJ »-• X X UJ
o eo
o s m
u u
inor-<»(>o-<(Mm-*-in>Of>-coo»o ^ 'O ^ ^ 'O *o ^o o »o *o ^ ^ *o ^o ^o *o oooooooooooooooo
'♦-»♦♦'♦'»*'*>*>*'»-# *•»♦■*
^ft OQ CB CO CO OO GO ^O
o o o o o «:> o o ^«r^y^f^i^ ^4 P4 r-l
OIMNCMCMtMOirM
OOO^CKC^O^OOi^O^^OOOOOO
ooooooooooooooooo
z <
z <
< z a: <
a — < z a: <
«/5 < oo or X >. ►- ^
O — U) m Z eo ^i < I
►- — z
< — — »- —. — \U r-t r* I — — r^ < < <n *-
I- I UJ r-l
• —(/> UJ- I < O»-* <■"* H- • — U> Ui < « —
C4K in + (/)UJ X r-l < N ■ (/) UJiO i/) it — < « Oi
«UJ K X
UJ
r-t Q V) < 00 ct 1 V
Ift — wO •* Z co r^ < X
O * *• I- ~ l^
- o o ^ u o — ^
ä X «-• ^ I —
> > > vn irt </> x x x z z z • • »s
m muj ^ z> z o •-•
»^»- ►- N Z X O O "H O U
t-< I/) I/) l-l
X i0 X
• UJ - I \3 r* >-* • ^ \n -•<
UJ (M «/) 3 «O X UJ z ►-. « ■
Ot- XU) VO « Z —« < X O U. »/) t~ •-• u •-■ x uj
CO X I
•» tO
lO X
>- +
o o o <NJ
o o o •
UJ I-
z • •x X
to X H -H I- -< rg II Z — tO X O u. X « u •-•
X z
<o
tO X • >~ .» ** rH •-» 10-»+ + X X X X — z z z Q w - *, Z •"* »"^ <■■< •-• to o to U. X X X
N N II _J iH cv <*\ . J »^ •-• »M < to to to U X X X
z z (M lO < UJ
< »H ~r-i I- ♦ ><•-• UJ >- z «o - z — XQ — « I z < tO rj •-' K X »- U. UJ H (O N ♦ X _l »H >-■ I» _l < 10 U < K X O U UJ
+ —.-..♦ >->->-<: Z Z Z I- ■^ ~. «- tu < < < I K >- H- .H UJ UJ UJ < H H • »- W <*> •♦ UJ < < < ■ H K t- UJ UJ UJ UJ O
~ + ~ + z z >- • • Z !-• •-• • + ♦ XXX z z z UJ UJ UJ < < < I- I- K UJ UJ UJ III »- f- »- M H N
i-< eg <n h- >- h- UJ UJ UJ III
—i r«J >-^ i-^
tO tO X X • • X X < <
— < < >- I- H- Z UJ UJ • • • X •-• •-» Z tO to — X X Ul — w < a. a ►- _J _J UJCO CD I ►-1- I- II II II •-• (M
■»XX t-X X UJ < < I H- (- H- UJ UJ
rvi lO
to X
X < X < »H I- X UJ X • <
— »- tO UJ X I — «M a. x -I X CD < K I- II UJ
tO II X UJ x a < O
o o cr«
O in
o o o
— (M tO lA X rH X • < oj h- If» IÜ ^4
(NJ UJ UJ tO DO. < Z O
UJ K tO - z - u. O u.
UJ tO ►-< u «
o If» o m
u u
12()
<OI'-o>0>0^r>j«*>.*tn«OP- _,..,,,..., ,. ^ . <o o» o -• fM <n ^ m <o r* co o o t^ fs'! en ^ in <o f». in o» o •-• <M <n <# a> «o r-
ooooooooooooooooooocooooooooooo _ooooooooooo
W«Mf«ioiPiifMr4rgoj«Mc\jrMoirM<M«M<M«>ir>j«M<M<Moj«Mi>loifM«MrgrMfM«Mr<j rMoicMoioioioioir*«
rg tO X ^^ ^^
to z r-l fO < • X eo »- >- X X UJ z • »-
1 1-
1 ft X rg r-<
CNJ * UJ ~ i- 03
tO z a ^ Ul X •—« • O »- X — h- in eg -1 UI H- <n «0
X to </) X — 00 * I
♦
►- tO Ul I > ~ t- •~ <^ < X * > «»> t^
—•I- X *-* >
X 1 1— r-t
— > < > tO f-
UI rg t~ UJ oz 1/) <S) 00 sfl X UJ < to « x •-• • X X X X z 1
o 0 0 0 f- < to H- pgx z 1 H- z • z: >t c 0 0 0 0 U) »- O — <-• • » cg — • x < in r» 00 rH O m I UI Q. ♦ rg Z -• ♦ r • »- ■H CU rH 0< i-< CM O <H <> r-t »- • u o< • tO Ul • rg uj • »r> • o* • • ff\ • ON • UI 1 a»- •- rg X 0 rg to — o <-• o {> 0 0 (V 0 O O UI < ■«v UJ < — X. to ^ ^v 0*0« 0 0 • 0 •k 0 t— t- >- - O • ►- s. -. ~t tO ~ r-< \0 NO O 4- ^ O <NJ O >!■ < Ul Q ^t a x ui — <r\ to X r> f-i lA P4 «0 I-» rH N •-< -* rH _J V X 0— a • Si < X • < • f« ♦ <■* « • CJ • rg • D Q»- (£ U) •*■ 00 •-H —• »- • XI- 0 • 0 • O O • O » O u O • X^X to u) ui X < Ul 0^00 O OOO 0 O _J CD « Z 1 < t- X X 1 X X 1 IH m <o >c •* ^ «NJ (N -t * < Ul O eg I- • • 1 fM 00 < rg |H i-t f^ i-l <-t iH rg ^ rg i-l u Z X
0 • to UJ X X
< rg to tO <
X t- tO K Ul <
CsJ rM (M tH rsi rn eg FH (M <-« 0 < 1 to • z X ►I ♦- • • 1- X X X X X XXX X X H \S) t~ t^ X UJ < < tO Ul •-<•-< UJ X X X X X XXX ?■ s: h- UJ 1 -.Jt- t- X — lO tO — < < < < < < < < < < i>',' z — (M + • UJ UJ — + X X + h- (- t- !- t- 1— K (- t- 1- UI -• Q. 0 4^ - ~~ + tn O — — ro UJ UJ 111 u UJ UJ UJ LU Ul Ul z 0 t- 0 1/)»- »/5 a. a ^ 00 rg a a 00
tU 1 UJ K Ui 1 LU 1 !U 1 UI • UJ 1 UI I UI 1 UJ 1 *-< uj a as 0 UI K Ul X -1 -J X X rg ui -J _J X 3fMDr-«D^D^3 <n D^OfNJD^-DPOD* 1- ""> 0 r\j DZXXODCDIH- r-t Z5 CD CD 1- z<z<z<z<z< z<z<z<z< z < 3 z .J M Z !-.»_<(_ t~ f- H z >- f- 11 «I-«!-«»-«!-« (— •-• (~ *-• K t-i ►- •—* 1— •-• 1- O ►-4 .J CJ O •-• O M h- II n H <M O »—< 11 11 rg H-lUKUJH-U»(-UJt- Ui K UJ f- UJ 1- UI »- UI t- UJ ac 1- < tO h- H- Q. <»n ul —1 X -g t^ 1- 1- r-« X tO Z^Z-Z-Z-Z — z ~- z - z - z •^ z M z «0 Z ao - s; »—• oo 00 z CO < CO 011.0U.0U.0Ü.0 UL Oü.OU.Oü.Oü.0 u 0 X O O X U. X m T X 0 0 X H- X ^jM^t-^I^I^UMU ►^ u -• c» « u -• u ** u ♦-4 u h- 0 u !—•-••— K t- \- t9 W H- UJ f-
eg .* <£ ao 0 000 0 0 0 0 0 ■n ITI m in «0 O r-t (M (f\ -* 0 0 ^1
u <M rg rg og eg
u U «J
r-(
u U
eg r-t
u
og
12'
«00» O •-• rtj + 4 m in IA
oo o o o
(«\.4-in<or»a>oto>-«(Mfn'fm.o^aoo>Or<«(M«i<4'iA<ar>eoo*Of«(M(n'*'
oooooooooooooooooooooooooooooooo
MM (N M M ■♦ * * <♦* CM og CM <M Ol
^^ *«*. «n oo
en oo
Z X X X I X »- h- 1- »- 1 1 1 1 *-> i-H
(*\ 04 a) — ao •- 1- I ^ r
UJ Ui UJ ~ >- UJ t- H- Q. I X <n a uj — OT> O t- »- oo * O I * «• — -J - w x _i >- —. > (M —— (^ -, 4t ~ * |_ •~ m u) | — tn tO tO > >
> > 1 ^ > < <n -» > < X _ M CO (/) iiiv/)>X iO>X^ > ^ r- ui t- > co •- Z > to X X >Xi^»-»OXlO»-«00 tO X UJ > U» «O X UJ • (O X z z «ZX«/)^«ZX^I XZ 1 »-• x; x z l «-« X X 1 • • »-•rx«n»zx(- z • 2: ♦- 1- Z • X tn • z tns: x -• X • 1 rHJE • 1 — • s < -« — • X < IM • *• • • i/)»2<n »ZfX* £ • t- W * X • »- i- tO X tO «Nl (\j 0(n «»«Qr-« • »_ LJ • CM UJ O U • rvj Ul z < • X iO to a<<-«i/)i-<i-tv/)Q (M I/) —• Q. O fM to >- »-* »- «M «- -< < *-•
1- < X f- < X -v LO '-1 N. -V t/) "-l N. o UJ tO >> to »- _i 1 UJ 1- — O I'J !- --■ — « CO — | — -. to -. a. • «- — X UI UI
• liJ>v.O »UJ-vtO O x n <t to x <n — x to tn • • o V X • - X» — < X • < >- M X • < X X < X -* X - QX"ix:-~5:-«s:t~ • X »- Q U) • X f- V 00 • K < to < z OaOLO>-«iHaoini-tuJ X < UJ O X X < UJ Q X X UJX X o - iIlXXi^<IXvfl 1 X X 1 (D I 2: X 1 O t- Z 1 < •> 1 tO
»- »Xh-t- »xrg oo < rj (NJ oo < rg 03 UJ • OO (M t- X < v Z •> X 1 U • x 1 i^ X t- i^ Z to X W- tO a x x to ui < X Q OX<rg X<(M< •- UJ < O « ►- UJ < z o < ►- < »X '-Q. U
<ZiO •<rtOK- • • H- tO • • •- O -I X * h- — < X fM O _J * mX<-'UJZ<i-*üJ i—i ^ LU 4- X -« •- UJ a) < « UJ to >- X vO u < —
1 <t-tO_J<H-U)w I/) I/) — 1 — (0 to ^- t- t- tO «- x UI ** < \ 1 < rg^uJX •►-UJX + X X + «n + x x + z ui UJ x ■ — tO h- O O» X
o UJ ^ UJ — w (T» o ^ «- e« o 4- — „ ro o •-1 > z a. a. x ui co IT« a o i« — a + io—CL+oo ra a a. co o to»- a a. oo o O- a a < -j _i i 1 -^ _l
ujo ijj»-a-Js:xQ._is:x f» IU _l _1 X UJ o UJ KUI _l _) X OÜJa.l~-i-JH-CDCD fM X Z 4< Z>C4 3Z_ltDXS:_iCQX»-r-t3(OcOI-D fM 3 Z X CD 03 K M D M ajoj<i-i-tox<«-tw z Z»-iC0H->-<a3^»- H Z 1- ^ H z Z •-• ►- 1- »- M Z UJ to 1- H- II II II •—• < 1- • z '-O «Of- II Ml-h-ll MMO ►-• II M M •-• O •-•OM N »MO1-» Z O M H < X X to ^ < tn ►-< »-►- »-a HZtniuiiXr-ii/) h- •- «-^X tO (- 1- (- 0. m »^ X to i- h- o a rHCMIXXXUJII lltO z z s:->oo — z»-«oooo Z 00 < oo Z Z OO OO < 00 z co oo a. < •-I n u x -J n oo O xioiu.iinxx O O X J- X O O O X X 1- X o o XX_JI-tOQQ<UJUJ ua <j H-xt--it-xi-^e»uK-uj>-ua U 1- 1- UJ »- 13 L» l-»-<UJXUCDOOU
o o o o o o <M o •-• M o o fM en «n «O 4- in
u u u u u
128
«00»0»0«0»ChO»0»0»0»0»0000000000»-«^»-l^«>-«'^r^r-l^l^fMnjM«>|(M<viM(M04iM««> f«-r>-r>r«-r>r«r<-r«t^r«-r«aoocoeoooa}aoioaofloeoana»a>ooaooeoi0cooooDoo<oo(Oaoio«iflOoo oooooooooooooooooooooooooooooooooooooooooo
44** * -t -***** 4 ■**** 4* **'**■*•* 4 * * * -t ■**■**■**■* 4 ** * 4 *
CO r-i X 00 »- X
1 CD «M X oo
— ^- — X ^ w •* y- H- « -**. s—. *^ UJ — <C UJ ~ ♦ «•* X «n X > — -» —. H- < O H- iO ~4- > 4
1 i- Z 1 X >« o ». > > m — UJ < .H Z «OlO X -» W lO 10 1- > 1 1- • X X Z > X X X UJ l/) «/) -• UJ X Z 1 • «/» 1 z z XXX X • • X — X X fM • • >- Z X «^ h- U) X X -» • Z </) X X —* - •< 1 X • -• IM • « • •
•~ m ♦ XI- Z * X csj tO H 10 X v/) rg rsi •ai
IH ~ <o U •> UJ — üJ < wi x Z < • X ^ to rH —. <o < X Q cv — O Q t- < — _ >_ rg — •-• < a oo < I I (- >K (/) x. Q. ^ UJ K- >. O UJ «) V oT f- U X X 1- Q Q. 1 ä i-t ~ •-■ *-* * uj «•« Q. • •-. — x Ul * t- O Q.
1 U -J >t -t tfl tn •* X • •* w x UJ 4- • • — 1 U -J (M ♦ < 00 -« x < >- < x —■ •-< X X < X — X _l rg * <
— 00 -> >- — X </>•!- O i— oo vo */) >- CO • 1— < lO < — UJ 00 — — «MI -J tO >-t- X X UJ O UJ X X X Q X XUJ X X O fM Q X -1 tO « )- LÜ O z — 1 X i CO 1 »- ♦ 1 O 1- X 1 < • I * w »- UJ O — ♦ — Q U • * (N 00 ISJ UJ rsi • x cg CD • oo rg f- x < * z — a u >- Q ♦ - ^ rH < tO X J) Q. Z ^ X < tO X I tO Ul < X Q -« ♦ «- "v Z CDU r — + Ul — *- < OO < < X ->« z< t- < • X -»Q-UtOUZ—• • ■f CD "■• CM X "v (/)•!- _l 1- X < iO O X • »-H-, < fMCMO-J + vcD«-.-* X OJ V. l/) ü) zo X M UJ 10 i/) UJ < 1- X < •-• Ul l/) 1- tOtOU<fM-.\tO— Z * UJ V « «, ÜJ — 10 *- 1 ■ K UJ — »- 1- 10 w X Ul <-"<<,>»i*<UJNstO — ♦ U -0} UJ ♦ + X ♦ UIZ + UJ ~- ■♦• Z Ul x — — — w) t- o t» * x u — x ui Q + X X < m o * — .H O >-« 4- -a ^ o •-< — —za.Q.xujoD!noQ. + xi < <-»-•< 1 h- 00 o »- a oo o «o »- a _i oo o o a a < -i -i 1 i — <-« CD _l rH < <N ►- ~ eo o «^ Q üJ I o UJ Ul _JX o ui)-auj_icoxo UJ Q. -i _l 1- CQ £0 XXZ4--<e0Ot0QUJ K I «» •- < 11- fM O X CD 1- OJ 3 < X OD 1- »- OJ rj [na)<»-t-xx<^HK~-x*'-'<x Ütl- Z tO + »- II Z f- K M Z O O »- 1- 11 M z uj»- »- ii ii « -•<l- »CCZl-ZtO+l- 0«-«XQM(MO •"• H II «MO •-• UJ 3E II II X rg o w z M a < x x irtf-<«no-««"^xoii -/) CO i/) -'■ UJ sT co H- 1- ^ <M ^ 1- t- Z ►- »H rg X t^ »- 1- O ^ fM I X X XUJH N t0iOfnt0wUJ4- II CO H II M 00 00 Z 00 (0 CO z 00 GO •-) CD z oo oo a < •-• II II X -1 11 11 00 11 11 11 00 UXQQ<XIO O X I X O o I X (/) X o o XX-Jt-tOQQ<UJUaJXQQ<I aDt-uj<ujt-i-o U >- H- »- V3 u 1- »— X H- O u l-f-<UJXU(nOQ(DU»-UJ<UJf-
o o o o o o >0 r>- CO
u uu u
129
r-tfM (o4,iA«r~(OoOi-ir\j<n-riA4>f^ooo>Oi-if>ifn4-<n«or«-a>o>o«H(M<«>-*m<or-cooOi-t mm (t\ m <*\ t* <<\ &\ m •* -t j' ■# *t -t -t * -t -t u\ & >t\ *\ u\ tn in ir\ it\ *\ >o *o IO IO *0 >o 'O o >o *o t^ r* CO GO 00 00 00 00 ^0 CO GO CO GO 00 00 GO 00 GO GO CO 00 00 GO CO CO CD CO GO GO 00 00 00 GO GO flO GO 00 GO CO 00 00 GO 00 oo ooooooooooooooooooooooooooooooooooooooo
cttH r^rMr^tMO<<vr*ir^r^c«ifa(>ir^r^wi>iM«>i<vc>ir\jivr^t\icaoiir»j<\|cvcv*Mfsi«Voir«*i>ir«i<%i«>i
z < o #» -« rg z Q 1- < < -H M
Q: • «a, Q >v o > <
~ rH tf» tO cc > ^ t>- X ^v 10 CO ^ z r-l
XX* * tO Z 1- o X 00 • — tA • X z z r- X »- •~ • < t-i X •»
n OJ f- — < z oo i^ * »O 1— •-« X > < ~ o UJ to 1— a t- 0>J I • X
1 o LU lO i-U X ~ * CO • •-• • X fNJ CO -«</).-« GO tr. X u. ^ X 1 X < y- o K « ~ h- l~ **r • X (M * Ui * ti. x x ui X 1 < u. < «-• < < •H 111 o X LO 1- X to v. < X LU < < Q Ij) t- — 1 1- t- UJ 1-4 UJ + X Ul UJ + — 04 z X X X X — — «^O \- a 10 < X X 0 x x a + COO z _i< t- !-• < »-t >4 < _J i-t
xo LU *-« UJOOl-LÜUJvOi-r^ÜJtOKtD »fl t-rsi D O ^ >- HI -' 3 X LU r-« D X ÜJ t- X II z a i. n n w) z H n z M li II II (MO •-^ — X X CO »—i OJ I\J 0 ►■4 «V (M «M rH <» cOt- i - * 1- X X < f- t/) i/> t- t— (/) v/) tO + -« oo z z-^ < - z »-I < z »-* < OO •-• «— XO o O 0 f- u. O to 1-- O O tO t- X II V) KO u U X LU •-• u X UJ O U X LU K- -• X
o 0 0 0 o r-l (M m o> r^ r- f>- 1-1 i~t <-■< <-*
• • 0 0 H 11 «■* —fc
*^ ■-■ -— «^ tO to -• < tO K X UJ *^ «^ I-« r-<
0 0 0 0 0 0 0 0 • • + +
tO co X I- II
o o
< < I— h-
■-• LU LU <M (M I/) i/) tO OO • • •-• < X LU UJ tT (- 1- _J _J O X LU II • • O II II — 1-1 — —•-• Q Q IN «-• — << w ^. U) I- I- O 10 i/) I- LU LU I- — < UJ — ^- «^ t~X u. u. o X UJ t- -« -■ t3
UJ
z H + z - O II u — o o o
fM to
to x eg 11 «/)
« H
tO«
to to X X
eg rgto tO co < X I- H- •
tO O f- I- UJ X o »- to
o o
UJ II II —
•»» t/) (Ol- < UJ H- X
o o
X X
U. u.
rg eg rg rg »/) t/7 tO tO 1-1 < •-« 00 m vO I- tO X o X eg UJ X •- 1-1 II tO H H 11 r-l X rH iH iH O CO II tO tO tO h- ►-. r^ < -e CO t/) tO I- 10 X O X X UJ K •- O
u
130
r-r-^r^f-r-r-p-ÄOOwoocotooowcowo^oi?. aocoapaocoooooaocoaoaoaoooaoaoaJcocooOcaco ooooooooooooooooooooo
0>0»0»(hO>0«CKOOOOOOOOOO<H'^<»i'-<
ooooooooooooooooooooo
< <«
< PM »- 1-4
r '-• n
tu »- < z o a: o o u Ui z
< UJ a: i- irt
of Ui
UJ Q D a: z o ►i Ui i- a z o u o o l-i CM
— — U)
« < X UJ II II
Ui X
X X «-■ < 10 I- X Ui
ox II < *» I- <-t Ui -I X I-
— -~ * I/) v: x — K
(X w w (/) UJ • «7 v/> X X
<M *-• < I I- II «/) H- -* II t* ~t X Ui •-• — ■-•
« M — -) Ui UJ —
0 + "1-)XXZZ<-i rg-)ww a < '— —i in eg I XX^I-I-I-X»-«
t-t •-'«<~)UJZZIIH II O II «>l-—XOOUL« ->Q^XUiXI-UUX»-«
oo oo rj O Psl (r\
Z < o »- •-« Ui
< I _l OO z> • U «n -I •
-t < <M < U -H •- LL.<
Ui Ui • • z
m •-■ M < -I h- Z «n ui < < • Ul »-
fM ce ui X I- z iO I < oo I- z * ui •-< tf> • •
t-i o: M x O «-< £ (T Ui < ae • ►- Ui ui x II •~ rH 0> (*> fM O» • X
o o> o < O <0 X £ O UI • «H < ift 3 «O — I-
Z — »- UI O -• ui < ^ H i- s: X Q.
z <-■ o: fi o o o a o ^ i- o u 3C u. • iO
< — — o
< to x
►- o • lA
r- —
— o • to -> i-t •>-> » o — o H- i-< < m
> «o
u Ui a
ui
z z •- «a: _i I- D _i z Ka< O UJ Z 31 u a: ui
u
to X — -' X
-I I- -I < «) 3 Ui
Ui < Z _i -• D »- U
O < a: u CD
to
«o
a: <
x • to 3
a» a«
o o o tA
u. CO
O '- O Of o <o < in *-t I- u — i-i U) t- (/> — UI X "■♦ X < u • • N. Z -'— Z O ui c- o» o v _i <n i-i Z < r>- to 0>f^ z^«o—«-»Q: £>-• — Uillr-|i-<H-D ZD'-<X> — Zl-Q oo<^->oo»ouiz uui ozoi-uorui
<-i rsi o
•-I X •^ '^ • a.
»^ _l H en ui -' •- 3
n z z
u
131
ooooooooooooooooooooooooooooooooooooooooo
«k «k «» »
• rg
• •o • ♦
X
fSI * • OO fi
«n oo «-i *
r-l »
X z ■^^ m «n o ^ • (M — u • •- ao rg m f-i o> o 10 1- ^ < * * * * »-I • X •-• >- o r- r-f* r«- * oo • m z UJ r- rg
#-». *-fc ■> X » • • • • t- ON ►- o • 00 CO X • • • o • * O^ • ••« • rg.» o •* rg m 1— «o m m * o »H o
— z rg «n rg sr O * • — < • * m (M 4- r-« r- co < — •-» r* * * ♦ ♦ • rg w «^ t-M
i— r» r-r- f- o
• m m X
t— a
N. • • » •
-H (M «Mb «^
X #* i-l
o • • •
• <r a- o> * o
^*» • CM < iO o •4- ^ 00 OO • ^co •— X o •~ •-I * a o ■* O« 00 CO O —M t- < m •-* II •M> Ul o •t r4<r\ CO "S r-l OO < t- «r~ mm NO •> o * * ♦ ♦ —» • ^H t- IU •-• w X U njZ • r~ r- r- r- ON r*- • • ÜJ • • » < •- * < * v. • * Org • ä *»!- ~ 1- MI l>- •-« co «*•>»* a. r-t 1^ cH o •- f*- * • o ai — a r» <o 11 • II • •-• i*« — m * • ^- < ■^ in rg • • • -> oo -> 00 VO r- o r- -J rg 1- CL 10 o» • • m co oo • NO • rg X •~ <o »n — _l y- isi » a rg V -* <r\ <t tf\t* -^ • — * < -*-^ X < _i * a UJ • • ii w <o <n f*- r~ in r- »-»- o -<»--. o 3 -J »» u • r- rg T <n IH <n r^ • * * • Z UJ 1-4 < «< vrt rg >- < r^ u Z m •s. * • ♦ * ♦ ♦ r-« r~ rH rg • * •x — —h- X • 3 w < < • *m • -« r» r-r- r- M • II o t- *~t < UJ • O 1- i— •• NM o> r^- r^r>- •—• \0 *—< • X LO t— •>••—. t- *«< z u> _l Q n * • • • • • • Nt • rg » co — X * — o vO •-• 10 10 < r- , • ■-4 • ~ • -^rg CM <M> ^* .- ~ O in O X uj a a i-«< o 11 •••!>-->*-) H- » o in r- o » ex oc * • • •-» • — • t*- TO t*- O • * • -J K O _j — - h- o a. a: a CM » • » «n co m <o <o ►i r- >-• • -J vO _l t~ X •« < o: v. N. u (^ <-> ^H ~ rg en o kO «o — • — «n
^< U) «-• < — < fM t— — a u H- Z u • t-t 1 ->C\4rH«n>0>-tl-4l-l>- U 3 UJ i-H 3 SO) h- <-« UJ OUJ u < o < .M «* • ****** O as O • Ul ►- —' UJH- K X ^J • ft m* r-4 O UJ Q u • • t- • "-ir-i-r-f-r-i- «t-oo OUJ < < u • • ►- •0. OX O < i^ 5/ -i «o «/) rg *■* CC <M a: rg
z _l »sZ z z _J rH t- ■O t^ t-_J -J CO ^ 10 1 !-••••■• >- ♦ > *■<• DO ujr- r^ o O • 11 CD UJ O UJ • rg ul < 00 CD a. iH Ul • h- • < r- <
fXKU's-Kncf»"- — «Q Z> <n D g>— 3 < Q ^ X • CM a • rg • • • ON V « w ft
h-3_jz<<Mr-u>io u M Z z -l~ z z h- z z tx. •> a CO «» • O 00 >0 oo ■«- rg *- 4- -IO<0>lf»OZZr-f r-l (- o — •-< o « UJ < -< a a ^ o o • 1 w ^ ^ r» m oo 4- o -JO; u 3C •-» f-4 LU UJ II II •—t r-l KH ►- t- K t- X 1- D ^ ux X < g> < * <r-ifHr»inn< •< • <(D gr D x r w 10 *-f •a^ Z z — az^-o-jox X H- r-l i- • H- fH rH rg m -H 1- .H (- o at 3 oo<<'-«x>u.03tOoOQ:ooiijz(n_ioo <r»<<*<»**** < * < n *- U) UUJ«- —OQZZ •-# Q 1- U O O 3U.UK •JJ (D U U o l-t Q 1 Qh-r-i^f-r-Qf-Q u i-f rg u r-l iH i-i rg m vt- m r-l r-l »- o o o o i- u. l-t rg tH rr> u. co O CD »■* >0 rt w u
132
OOOOOOOOOOOOOOOO oooooooooooooooooooooooooo
m-t a\ «tt- o o >-*
• •••••••
«*>«'»•$■ ^ ><% W) oo o>
• •••••••
ooin«Mmm»HrHrH • •••••••
fMP-cn0»OO^>PH • •••••••
oo«nooo-<'0'-» • •••••••
cgooinrMof^t**» • •••••••
rv O en c\j o O O
*
o
o ♦
O dt O (D «O O «O r»- r» •-< •tf' oo >o o «O -4- (n fM o o> o* • ••••••
«n in in •* ^ «n co
o o%ooo >r -o j- CO O tf> if» t-« o <n ■A 4- ry| O O O« 00 • ••••••
m m m IT ^ en en
ooo«3-ooo-»Ofvj (nr-iaoin-oencooo ^cn«-(OW>cor~iA • ••••••• «ommmmentnen
eo o o o o o o^ Is- ao f"« r»- o • • • • r^ CM rg ru
<0 oo oo rM en i-« FH c> r» r* r- «n • • • • (M CM (M CM
O ^ -S- vO cn «A <o in en >o vo in • • » • <n CM (M CM
CO <M 4- 4- OO00 o moovoooooOr-i •"•eMooor-r-m • •••••••
•Oininin.$-«n<ntn
«o ^ >i -t o r^ f*" o» oo en CM <n in -a- 4^ • • • • • en CM fM CM CM
enm^in^ot-O^O—■'MiAO><nfl0en4-en
JM
ininoo>H'-40v.'no«o^r-*r-i>ncO'4'(no 00>0«0'-«''<0'-»»-<<-«(n4">*4"4*en4' • ••«••••ii ••••••••
(nor^vOOvOr-t-t-^co^cnOinoo oin en4-4-in>oooO'H «(MOiHr^cMr-ONin
•-«r-i'«f-*i-ieMCM(nrn4'in
>* in -~ • o-»
~«0<M<O4-O»0-*00—"»ffMOONO ocnenoo^oofMinen^o oentMenr^ fMi-«oo^^>or--%6'*cMrgf-tin*co
• ♦ •-•«o«n4'-*4'«n{n<nf-t<nenrMCMCM ■-tr-' «-« CM II || •••••••.• M •«•••> -> •X-)C0<M>0'*OOO-*")fMOC0004- • vO-* •enenocMO^'-iOco »envO-a-ino
—-^en — •-<<nfl0flDin4''X!<n-»>-HO^ten(n
o r- CM CM o «-• • • •
-a- eM CM en ■* m
en oc> rH rH O • • • «n m en ^> r- o\
(J\ f~ rH O <-« M
m » — m oo •> o <-« -• r-l r-l ->
in o m m o» vO <n CM sf •* ■» 4- «n <n • •••••• I- 4- P- O <0 O O «n oo •* <-• «ö «M •-• ■H ^ (M en en -t m
r~o en in m <o • • • «O tO (h en 4 m
f-4 oo O IH m o • • • <M CM -O f-OO O*
en o*
• • r-l O» •-« <M »-< r-l
4 4 0^ O* in CO o en 4 4 4 4 eM 4
• • • • • O CM eM OO O O in rH oo m r-t xo en •H <M CM en 4 4 in
O • •
O rH CM rH <0 iH • • • Ocn <> 4 m «o
O» «O (M O O »-• a • • Ooo o» 00 CO o
• • xQ 00 iH en
en r^ tH 4 4 m
eMtn4insor~aoo^
if» r- ^ en 4 eM eM ^)
• •••••• oo oo en 4 o O m vO 4 fM O» m co 4 •-* CM en en 4 4 m f-« (M en 4 m o f-
O • CM 4 r4 rH • M *
»n —• f~-
m ~ • -) oo
• «, ,0 o> •-< • 4 — en • I- r-l o < ♦ <-i 'J r- vO UJ
S • • Or-
f 4 r- — • • <4
O ►- rH f^ <♦ -o Q r- ■O rH
in4"444(nen »enencMfMrii • • «U •••••••«It f->-<0OCM44 CMOOvO O«
• «nin4cnfloen4en * • -^rHsomp- ^enu^en — O") ••••••••") oo •^tnin444:nen • 0^ r^ *««
CO <0 OvO OO r- o r- oo vO o o l> (M CM • • # • •
en <n rsi (M (M
♦ < UJ
oo ^) *. m — • <
r- t- * < CM
fMeM44CMOO'Ol- oen440»cn4r»-< rHCOlAOcnCMr-ICMC) • •••••••UJ OiAin4444enX
o
4 <M vO 4 4 <M in "H rH rH O 0> O CM (M • • • • • en CM CM CM CM
OO4OOa00D>0 — en)o4rH{MinvO0O< or^menenrHOrHt- ••••••••< >Oininin444eno rHCMen4iAvOr~oo
4 o 4 4 CM en oo 4 4 4 C?» CO CO CO i-H • • • • • fj CM eM CM CM rH CM m •» m
UJ a
x o
o >- CD UJ O Q. • >-
rg >- • ■-• V ♦
X O • m ^ • • O > 4
OX en O
> 4^ UJ • "v U Q O-« UJ CM jK Q UJ • +
z o> ft 1-1 I O
<o 3
> O cc oc
O UJ CO Z Q =)
II O X h- Q
>- o ra
UJ i/J o a u y~ o
o
o
u 03
(A
133
0»0»0>0000000000«-<^»^«-li-«.Hr-l»H»^«-<fMPijr<(M«MMCMfMPgfM«>(n«0<ncO<<»«n(*l a>o»ooooooooooooooooooooooooooooooooooooooo
(>lciirjr4<>i(vrsi(NiNrvjcaNNr<4tv(\|Ciirgc>i«>i(>jrsif\i(>£r4<M(Vrii<>l(>i<>irN|(vr4rti<>i<>l(>lC|4ri<(Ni O
<
•
o
X
*
eg
x o * eg
Q
rg x Q
X ■f > I o — «o II xo > COO QO
O
+ + 3: X I O i
— .O — II N X O X a y- a >- >- CD O (D Q O Q
+ >-
O
o CO
o
II X
> CO o
o Ifl
ui o
o
a o a.
a x Ui
o ►-•
LO
I/} Lul
< • 3 UJ >- <
< >/ CD U UJ UJ Q UI
Z
10 -I 0. 10 UJ UJ • 2: z o < •
Q >/) < UJ cr 1-
a •
u 10 < a • O
_i a w « CL _J • 10
a: uj
-«Z <
Z 3 cc a o D < a K Q CD OD UI Z UI D a UJ 1/)
o ►- «O u.
CO
1-0 oc u < i^ CD-I UI CO • X -I z CKO < X CD X UI O
(X on ■s. \ »0 UI
UJ UI
• u u
— a * o mo. • * > <o <a ui II >-Q: < a.
3
O
3
o
at — O u i02 * X * o oc • o u JO t- * fsl «^ » _J _J »O lO UJ a >- o < a I • x u -s * UJ -I rg V «O • < UI + — H- >< isj < ^ V UI UI u
< O 1- II iO IM
U II X -JU UI _l O
< u «o
2 X o
o X »- rM
lO a. o a. > < UI >- <
< N O V UJ O X X o ►- «O Nl
II -J o
< — U 10
co co
00
• • %. >s m m >£\»%
• • * ♦ * * oe a: ►1 **
U) IO ♦ *
fVfM • • I i uo
to to
II II uo to to U.U.
I t
u o 10 CO u. u. + +
a. a. X X UI UI * * * * uo O ^)
o1) 10
* • (st rsi
11 II U O
u. u
a: a: o o u) iO
O
u. ♦ 4- «
• • 11 H U O 5: X < <
i <
u X <
+
o X <
m U <6 x r- < • o + •f •
MHZ _J 1- Q: OCX Z) < < H- CO CD UI UI UJ (T
z -• UI
<
_) to a. o a • 3 — i- _i — 10 -I Q. -I o < a
^3 - u — o UJ a ui
z *■« UJ I- z>
-J 3 Z _l O -» < at 1-
oo z DO to u
O 00 o •
< il o o
u u
u. CO
o
134
a>ptOi-i(Ni(<t<f>n'Ot''-a>otOr-<oi<<t-*4n«r*-''uo»0'4(Mflt<f<A<o^-cooto<-4<M«*i<*iA>or'~
OOOOOOOOOOOOOOOOOOOC^OOOOOOOOOOOOOOOOOOO
_J • o
X o •> — m _l -J ♦ 10 X oc a • »- o on 0. •» 3 ♦ • z z -
i/) Q- xoc < U. «UI »- * _J >- UJ v) -) .o< CO < * Q. >. • •- * I- X
tr UJ —. ^) - o ao 4- a — —> + o • N» l/> 09 «or- I - • »H UI fH • •
10 o a. r- UI o (NJ »- — 4- u • ui O * M I • * i >- (NJ * • OT. V "S. • —• < + — UJ «/) UJ ,J m w) • 0£ • f- UJ X ~iO o: »- o f4 J >■ a: >. u. UJ isl o * o < UI ~ * >- — <*> UJ • l >- CO iO < ♦
1 UJ 10 • < < < • m m * ^^ >- z 'H * 1- t- a: •
m M X 5 < »- — m Ui UJ (— fH >H (H (- UJ • NJ ♦ in 03 CD iM * H iH «— > X * -~ <n — U. • ♦ 0) ^i * ♦ < • _l a • ~ CO + cc — m • o nj • y lO O * I ca • o cc • O eg oo o ' j a. -• • ^ < ^ UJ UJ PN r-( fH «o o >- o to cr UJ ♦ -^ Z >- «'i — <-< fH O -J < a. — O UJ •M H- O < V _l <H • O a * 1- -H >• co a ~ V «o to • o o a 3 _J ~ c0 at to < o ui o O X • Q. o rsi o » UJ -i i z: o ♦ - (NJ a to a: — -»»- rH fH • v: V UI + UJ tO — V • u * UJ ♦ n to rH iH + 3 < >- x .■- + <* — o ♦ 4 rsl JT OQ. rH ^ •~> V K * ^ < UJ< 40 I <> tO fM • <« * D K m — •» 3 • 2 — «n u -) >- - »- x rg t- » c\jr- U Z »Nl «M o • h- o t- «O • UI < < Nl UI • Nl «—- + fH Ui * V. r-( o ♦ o o * o u fH a UJ ~. o "S. UJ 1 N, -H • r- Q ui a UJ o o (NJ rf> 00 nj <n -1 r» z * UJ I/) >- 1/V.U ..-« fH • z o UI o tr UJ r» ^ UJ fH UJ «n 1-t UJ co ui o ►H m T. Z < O >- */) UJ O UJ UJ- + ^ UJ >- _l
1 Z) '»rH => 1 D -» fH D < Dm -1 ►- • O 1- It -• N < D • tn z> DM» o »- z < < ^ z • z ^ z • Z K Z CJ Z -J 3 H I« M _J «J — >- z ^ z • Z 10 <H z a: D O ii it x« N O •-• » >-• N O •H •»na; ui o 10 N X — M UJ « 1 o 1-^ ^ »- < w a. Ui o i< u o »- »- 3S (- •- h- h- 3 »- t- -it-*0 >- tt Z -J ifl S II tO CD H • fH K 1- n H- K n D Ni QC O UJ o ~ Z Ui z - Z LU Z-JZlUI-Qrfrn UJ -J IO UJ in UJ «. z z 1 z z fHZUJ_(»-QOCD3UJ_l U.O>-OOU.O>-OO<O>-UJZ -) 3 >- < »-< >- oo Q. u. o a. n o o a M OtO -) aJ ZX. ZDT >- O. -< u < o u « U < ou u u< a: ui W < u tO < u. u 1—• u u. -> o u u. -> UÜ. X a: ui io x < a
U \J o in o m o K o o o H- fH <H
•H fH fH
fH fH fH
fH fH
u. CO
fH (NJ n u. CO
u *«
0'-tr4(n4'm<or^aoo«o<-<(Mm4'<n^^co(>0'Hoicn<4'ift^i>-aeokO'404m<«'>n,o^*(SO«o OOfiOeOOOCOaoeOCOa>cOO^O^O«9>OkO«9><hOO«OOOOOOOOOOi-4<-l'H'^i-<'^<-l«-t'-l'^Cil
Nrii<\iN(>4r4<>lN(>iNr4Nr4r«if\i(>ir4rgry|rgr4NC4rg(>ii>iNr4«>iN<>l(>l(>iriirvi(vr>i(>i(vi(>i(>i
a: •-* fM <S) * * *
a: *>» UJ —» V cu < • • *
a: u i- a tO rj z Ul • O a:
ac * Ui D 00 X z rH a o Ui tO o: -o o * m z
a: <o t- o <o < UJ «^ f»- Z • ■* z o 4- — • •H
• »H a l -r^
3t ■sO • UJ < O • UJ .H a: o UJ '/) ^Z «• Z) Ul za -o rH »- tO z O Ui ♦ V • a tO o • * ♦ Ul 4i 3 UJ •
•— UJ Z -o * to QJ 1- UJ 13 < -» UJ ■^ + •«~ H- Q, N »^ UJ •« r- z ^* • o tg • Q s: Q ♦ o m rH «ft •- O tO IU o< « ♦ ♦ •■r w oc Q Z tO > • a: UJ lO * o * CC Ul Z < Ul < to . tO w rH rH o rg h- >- < CC * o o Z X u. * <n * »SJ < eg a o r UJ U o « + o • ♦ * • < ♦ • o N. ZU + — IM rH o W O o a ♦ x -J Ui o < tn a • » CM oc o o o. UJ U f- a UJ * • o X •** o • z _l -I o a Z UJ z a. >- a. -i OLU V tn O O a a h- o O ui ui • o < — cO fc ♦ fNj —m eg ^ a. a. a •H v —
U*M * os a — in 3t • O — o • • UJ 10 Z eg < UJ • UJ 3 • UJ N, S1* O <-t 3 CC rH O OJ w * >- • -« * O UIO •m s a - O m oo Ul •tf o a. 1 ■-H 1 o: QC < ce < ♦ 'JJ >- f\J Q a: >» a. UJ Oft Z * UJ I|I a Ul 1 UJ z •- * »- »-»- z < • Ul wo z - Z o • a o m Z cr o «n UJ en o M «0 N W CO U. O -o V u a: o oo • + X vx r- O "s ui oo en |H — • 00 w U O to f«.rH < UJ u ^ v fH if« Ul UJ 00 ♦ a Z m o • o» OO» • * UJ z UJ ~ * O UJ w O iO - rg w >3 • » O O e • «n »H CM m #-• fH Q O •-• UJ -IUJ • Oh z _i o a * -H X UJ * ac UJ ♦ «n <x> rH _) _» m ♦ _J »- z £D ft UJ O Ul rH -• OQ -1 UJ UJ 00 * Z * J Z Z oo 1 ÜJ 1 ui eg oui amicar- u a >- •- <0 D II D • tt K- N. < z to • * o i-H to o O • U Z) *. Dm * D < D< <» CK < < uia. i- t-uj z uj z + z D D Z M O Z 'i tO * u.a II II i-< a Z K Z rg Z»-Zl-oot-h-Z O Z _J D
>- 1-4 »-• H-« • ae. z OO ^ H O a v: V II * a a II z >-. z ►H h o •H •H ll rg Q£ ui «< O X t-xec _j< h- d »- 1-t 3 QC a: Z o ui
oocol _i to II X X X XQ. O D W O 1— O t- w i- 1- J t- -J a: II -13
_J — Z UJ z II >- to Ul ii 11 (X. 11 ui z at — z w ZQC Z-JZ_)UJ0£_iH-OOr>l-£D <U.0V0_JUJZü£30aZ w w w rH ZCt:ZOZli.OU.OKOO<C<>-l-<UJZ«OOZD u — «J < u K a: UJ io u a o xxxii-oaoao •■H u •H O NJ OU .' u u < pg u a: ui a ui t/)
u u o o h- o O o o i- r-t CM U.
CD ►-i
.H rg <n * u. CD
136
tO UJ IN CC cg a • "»r-»
• O • r-t _J »H
o* - If».* • fM rgo* O «*\ N.rg eo ^ X4- 'H • t-<A I v Z •* U U O uj • x J: -d-
uo z z o X O UJ UJ I- »- _J - II ZCL U. ►- O UJQ. -' IM O
O ^ M 04
u UJ X u
N
o a o • •
«o u o eo i ^■
<n Z O «^ üJ m Nk ~ «r.
X I
in •
fM PH
UJ
X IA
a i
o o
fM t- UJ IM _» • 00 U< X I- I— z z Ul •-•
o o: oo -ja a Qc a uj
x — n O «M O • OO «x
«NJ
Z CQ V: UJ • rH UJ l. UJ z X _J U f- H- J ~ Z z < u. o UJ u « u
• o «H t-t * I —' Ui •H *
• * *-* •
»O — i-t c«
UJ
in
■*
o o
(NJ
+ rsl * oo
o 4-
• O
* O •♦ «M • V
«n t-
• * «n oo
<J UJ X KJ
< a UJ
c
o -J a. a.
in •
CM rl
UJ
»
in ft a Z5
8 €0
< rH O -J UJ CD X < O f-
N
-l- I UJ < I- X -• K a: o 3 u.
< IM O w uj U. X
• • so OK- rH Ott _l
O OO OCQ «O nj io ^) <
I H H- o ►-< o •- N O »- _l
•-UJ _J o u. x o « o o<
N O • in o •. o O -I
• a o •n — — o • o
r-t r-l
UJ w X UJ U I-
u. a « 3
a: o er a: AJ x ri
* O X 03 ■-I • •■' rH K * < H- X N a ii O H- U. IM
< UJ
s0 pg
rg CM
O o -^ O 04 04
CM n 4- ^
o o o in o vo
-o ^f- ua: Ui> X < wi u • a • r« Ui
i/) «o • 1— CM Z • ft < _ir- « UJ — Q C •- < a*- oc UJiM ft OL • O • ~ U
to r- u UJ ~ < „ >-1- • ^4 < t0 J », .-H - 10 tO ... • cMLu a rH rH UJQ: • _ia ce -« o ►- 1- CD N. V ro rH •~ 4/) o
u < K Z rH ft A t0 H u — »-< o - —1 rHÜJ — tr UJ >, O U _J V ft ^» a: o > a » UJ ^ ^ rH rH _l Q. — <
»- Z -J _J z V -> «- w iD — a: >- Oü CQ O (M rH UJ U u < U
m -s ►- v v. •-• to 1 Z)0 O »- o UJ — 3 Z Z oO V <M Z _J _J rH f«- CM CM K _j _i — o o o z (/> t-^ M II a II II II II 11 co u. a x X ui < ^ >- «. r>
Q < 11 ODX X X 1- w z rH (M «t ■♦ m <o h- a Z 1- l- D O O — < u. o w* _ — Ul IM 10 U U O Ct »-4 u _» _l _J _J -J _i _i _J
U H- rH
ID
i:r,
'•<A<A<#<A<o<or-t,>h-r'>r*r»r*F>r<>r*aoa>coco<scooo«ov4BO»o»oo»<h9>o>otOtotoooo
(>i(>lfy(>i(N(>ir<ie;r>ir4<>i(>i<>ir>i«NirNirsirs|(>irilNC4(>ir4<Ni(MC>«r4r4i^<>4<V«^r>iN(>ir4(\l(M(>4<^
• o ■*OSMOOO(7>'OiA r-<H^(n^frv«nf*- o -*O00tf\fM0>iAO njininoo><ti^tn o o ao 0» ^ P- <:> ^i <# h-Oinoo>*<«>4-flO
• • o o
<nfMoj«OfMiAoi4- »H-i-rHtniHjn^PSI
• • <n o
• ••••• O O tM OC0 O -i-o^omo-oo
00 o^ o <n m OO« CO (M *0>aocoinc«>-#in rg «o >o r- ■-• n4 9« <0 Oi •♦O(n<o««\niinr- • • OX O a
^CnrHtnrHOrHni
• • • • • • • • «O O co o rn in o»^ oa> r~r-p-rgm<o^i^ rj O «OOOOOCtO^^O >O*cn00fM»O(Mm •«t « O r-ICV yO >0 C\ O CMOOCMtACMOrM^O • ■* (M O CM vO 'H •* r-t 4- ■-•(<>i-«(nrH<nrHr«J
m ^
O • o •
r*
• • • • • • • • •>• CM O I^OOOfMmOW oaioo'ninofMiO -J *c\ <0 m rH ^ * Oin CM <M in o oj o oo o «> • • -* O CO tf\ o* CM r-l ■-• CO -H'O^fO'Hr-rH^
•-» o •> pg p»- -• * ^ -» fH pr» «-HfTliHn^rsJrHfM ao o •
N O (MO — «/) • • • • • • • • • •••••••
x to •OJ o<Of>-<ö<MO>cor- ^r-cvjnjorMoom UJ UJ • •* rg r» cr> r- eg r^ o <VJ ©»«OO^OO^i-tCO-* v oc O • \ rt e<\ Of-«or>-o*>.o<ro\o<>inoi\i < a. O • ^ mm ^•m "* •♦ rH (O rH <n ^« «> «n (M nj • •
UJ 0^
OO <\J o • o
• fVJ
* oo
r** • • • • • • • • m *» o ^ • 4- • II 0(<\ om o m o <o ii ooomooooo '■^ Q • o • >-4 •-< f- lA f- CO r- m r- in 9—t h-Mi^OOI^iT. P-NO -i ui ao o • » * 00 CM no r^ ao in oo 4- » oofMco-OoorgcoO *■* a — CO o • •M* •* ra «i en m* c^ (Nj CM rg -j • UJ rH O ■', O 0* m * * * o» » * «* « • as > "V •00 -** •-« • * • • • • • • rH «~ -i •- < •-* • <n 00 * O • o • o • o • • o«o*o«o»
•* UJ <** • o> o • * f-t r-l o o O 00 om o o <-l OinO^ OcOOfO iH S « — i-I o • l-t H f- CO r- "O r- co r- r- II r>-c>r"-mr--fMf"-o • O UJ ON • m o 11 -) <o ■* o t\j "> ao fo O C« .-< UJ — _l r-t f-4 r* O ►^ * » m • CO • m • (^ * • rg «(NJ »CM • rH o »* a a eo — II • >o • fNJ *^ • • • • -^ • • • • rH o.
h- • ^ • < H- -) • en ^ ~) o • o • o • o • -> o«o »O «O • «k •« h- i/) u >-►- at • o • •-• * m • in • m • in • • in • in «in • x» • rH rH M UJ UJ " ►- ■N. ~ o • » M •* •* •» m ■«!• r- -* o I—* <tyO-f'0-*(V-*'-* * «« — >- •~ Q U. UJ rH -) OO {/) m ^. r- oo CM cn w 0> rg eg !A rH J U < 00 11 z z ^ w «H O l/) 1 UJ • f\ • AJ • (M » O UJ •k^* * o * co • r*« -— o »o ** "W — — o «o 1- • ■* UJ * V • «o < en • on • m >- • Ckj »rg »^H »rH rH UJ U _j p» r«- fM 03 -J <o »- •-• »« X • cyoc • < o o O o < O O O O 5 r) o H H H « o< II Z UJ <o 3 </) w ►- o • a -t ^^ •* •> <t • >J- • 4- • 4-»^- » # »^ • <o Z _l
-«» *ä ^>* ** AJ H ►- i^ Qt -IUJ o z «# o • ^ 1 «« fNJ • <M • (M • (M • «» rg*rg*rg*rg« ^ »-« It O r^ (NJ CO H —Q U D cü JQ£UJ<<ino< * < o O 4- m < O -* h- r»- ^ H *^i
r-) »-I rH fH fNj CO H UJ 1- Q < CD tn X H 1- • o •— • h- • 00 • «*■ • J- • m H- «kCO *k>0 * ^ * o ^* z rH —• «» — «* ^ — CO I UJ Z »-< D « < < • fNJ <£ tf\ < • f* • i-4 • o • vo <r • o «r» »vo • >o u. o -i_i-j_i3/-it-ua:uj •- «0 O Q Q om Q f Q o ca O «n O «n O rvj Q 0«MOrHOrHO«H r-e U -J
'^J ^H (NJ r-4 -t rg >-i <\i rH nj M (M rHrgrHogrHrgrHCM o t- rH r-i U.
CD
IA U
138
■if lA -Ol- OOOO OJ Ol (M rtj M #4 pi r« O* O* Ch &> »H »1 t-« »►.
CMM N Ol Nr4Nrti(>ir4(>if4«>ir4cMAii>i<>i(V(>iriiri|oi(>j«>ir>lf4r4c>ir4(\irij(>ir>irijriJ(>f^i(>i<>in«r<j
< UJ z o CO
o o
in >- >- < < • UJ — >- •«
-J UJ —
O ^ UJ w
UJ
a
o
-J
UJ
UJ Q.
UJ — UJ « >- rj < •
—»~ >- je
CD — U 00 < v.* o a* < H- G J tH oo »H »-
•HICOfHrHX-JHHMN OOZ H II H H N M -~ ~ -~ -~ r-l H II 01 ~ — —.~ — — Oi-HOJO It ->3ID <*\«tin<or-o«r-i^^r>«y[)eoujt-Q ^.ww — w. ■«-tO-'VUJZ _J-J_I_I_J_J_»_IJ_JW:_I<Q:UJ
u. id N U UJ
a % D
UJ r»- -I UJ CO -J < CD I- <
t- u I- u. CD •-•
UJ UJ _l >• CO < < Q I- >-
< UJ Z Z — o I- ■-■
O Z ac uj CD X D-«
♦ OOOOOOO^* i-tr-jtV(>4f\c\(f\^it\ ^•••«•••* •••••••••
•~ooj(n4'm<oeoi-i«inmoc4tnch«naocoo^
• r- H •<j-vC(7>s»4-!Ooo«nMa3»ninorNi«ooo -«•'-• ") 0(M(«>«*»f»oor>jr-flO~)<^<or>»0'Orsj<D<M»0 • ♦ OOOOO^fHtM <»m(nrPi*4-iAin<0^ '«^••••••••— •••••••••
■->! ♦ 000>-*<HCMr>j(OM(n4'4'4-intO<0<0<0 • ^-••••••••••••••a •••
-) »••••»•«•-)«.••«••.••
►-<0'-<rs(0<n»H>OO^rr>>-«>r>>tin.a-vOOP><»T><N
ujr><«««**«*«uj« •••••••• > >-
r~<* oo•-•r»^«n^<J■-*<ct■*ln>o^•^■r-^-r,'
139
<0r»«»Oi-4(M(n4-tn<oh-cooo<-«(M<n-«'in«or>coo»Oi-4rM«>^iA<or>(Oo»Or-io<(n-tiA4> •#<C^'#>nmiAiniAmiAininiA<04>iA4><o«O4)<i><o<i>r«-i^h-h>{^r>r>>r<>f«fte(OeoaoflOcoo>co ^rgr4i>i(>irgr4cgr4N^^N<NirM(VCNi(vir>j(v(Ni(>i(>j(M(Nicii<>l(M(>4(>i(>|(^(>i<>l(N|(>j(>i(>ii>i(V(>l
♦ ♦♦♦'♦***'»'*****^***^J*5******3*4?5*3*7 r4«vci<>40«^«(>ir4r4(>tr4r«r4rsirvir«fvi<>ir4N(Nir4r>i(vrii(>ir«<^r4ri4r^<vo4<>ir>4rNir«Ai(Ni<>iN
vO en o* IH en oo
• • • • f*r- «o • • • • • • • o o o o o o o o * • • * eg O O <o (M m ft 4 f* (Ji o -* 00
rH T-* r^ r» vo • • •
• • • • • • • • » • * o o o o in o <r o o o o 0» m a) fM O O O «h- >o iH ^- O 00 • • •
rH i-l • » •>
m m m m f- rH m • • • • CO «0 ao o o o o <o r- <o o o o o • • • O iA O O >-i no* r- * * •>
*s. fH CM o r- ^ oo r«. as »n • » » * <o r> <o «n • • • • • • • • o o o o
o o o o • « » • 00 O o o 04- o
(O CO 00 sO oo h- 0* •"4 I-l «or- »o v» • • • •
00 • • • • • • • • » • «
•> #* w o o o o 4 r- m <|- *^ -1 o o o o oo r» o* «J i-i -» • <o in o o vO r- <o v> ■w h- -«. (M r- in • 0 •
>s • -J O m |H *"* • ■-I m * » * r- « J CO — a> «o ■-• • «<» »• IU • 1- o» r- o IHW •~ ••• o 2 K ooooo^-oi^r- ■ <Ci ^ r-« a H- N N. o o o o o » • • • t-4 •' •■• r^ • UJ IM • o« -* OO O 0«n * "• * iH a ^* *^ m tvo-trvm»*» ^* • fH i-l "«» • •♦ »TV ^ f* rg • 00 O CO
rj « O ^> L- UJ UJ
UJ >•
-* iH «O 1- -J — N CD X
• * IH r>j r- o H h- r- r» T • • •
a — • h- r-« ~ U) o <
^4
H • • • • • • *• rH i-< • w — tO H O < ^ - < O ■X o o o o o * V rH -> «ff — iH rHUJ — a: >- —• U UL 1» M N. • O O O OO o» •• * • • rH f- UJ n • w 0£ O V < CO UJ H (/) iH 0m ojaoOOOiooom * .-4 «-' t- >- m <-* -i a — < •• < a o uj v. »4 ^ in co ^ — r- m <-• o — ~i N < P«J -^ *-• •— OD — u « z z * ^ f« rg 2 I«- r- h- 1-iH %# «•» Ol» fH UJ U U < VJ O O «/)■-« O iH K o • • • • 1 Ul u u >- • 1 D O O t- O -i r«- r»- rj 4- 1- -HO K —■i 4 30 0 < f^ z _l -J -H r- CNJ fM K _i n ii H a OUJ z •H •4- :> tf) W N (/)••>•> • rH Z _J ^' s* * I/) *"t B II H II II H N H «« *» — — <M II >- a: _i »H o r *»^ o o o o o — o o 4 4 to •M« II II < CO ^ t- *** ** ^ O r-4 rj cn II -"■ o CD _l (£ UJ < < O0OO<r-4-(M(>*: 1- r^ <**
^^■Wli /^ ^^ fc— — ^- -^ ^ . i-l r-t rHf-ir>-»ujKa<eoisZKi- «<ooot-r^r^f*->o — Z rH OJ
o • 1-4 u-j _J _i _J-j _j _j-j j _i _j j ^ j < a: u t-io a a a « u. u — —
-• U -1 -1 l-l
^-i o r-l
U
U. CO
■-I «M m 4- in I-I rj fo 4" <-4
IÄ u
140
0000<O0><y>0tQt9'OtOk0t0t0iOOOOOOOOOO'4iH'-l>-4r4<-4p4»l'4'-«(MOJDJ(M(Mri(O4«>l04 04MN(MOir<l<>JcgN
r4r>ic>|(MNrgr4(>irviNNC\iNCiir40lNCNiriir4C4rsi(>jr4r\iN(>i(>iC4(>ir<loi<>«f>t(Nj(>i(>ic>iA4(>i<>ti>i
o
to
o -J ^ <-( II II H
d .* in
_i _J _J
<
o
UJ <X X >- u < »o • • a. < -» UJ o «c • UJ <V 2 X • < Or*'-* • _ Q _l H- < ü> i- a
UJ • O a: ~ u a r^ u • w <
-. H- K • a N io _! —> • ««■ m U) « i- oo uj a r-i tsi r-tCC • O «- — -J Q. ai — IH ►-
^ll<l-Z«-« r-t —lO U<l-<0~->v» f-*UJ UJ e) QU.J-«-« •'(r OUJUI^^ v«> _j a
x z _J _J ;: oci .H w«. O^COCOOf-t l üjyu
eo H-vv-tioooDOO
.JrHOOOZ 10 -« N II II II II ^—r-_» tD-JOCXXUK^t--. — -»— — >er>-<Haoa^-o<cocoxxxi- — zrHcsj^^-m wwio — '-«UJZH-<300-»< u.o — — ~- — »- _i _i ^ _j to a UJ i-10 u o Q Q «u j _i _J _l-J
u
I UJ
< a UJ X o
OH >■
< IS) *** • Q^ I- — UJ N >0 •
. • <
»4
(Q m <
pg <n CM OH- Z n n M ti ii a:
4- —H O
at <
11 N
<o r»
_J -J
• < w UJ H X HO N — — U u o o -J i- -i II II M — — •■>■ o •-• a> r-» <-«
n II
-J _l
UJ
a.
N «Ml
ca < i-- Q
fsl O M II 11 < oo —o •-4 eoui i/> — X ^ -J o
UJ ct a. *
UJ — x a. o * «^ < o»
UJ -J X CD
* o < U — I- Ul u. o II ui
i- z M -•
o* I- Z r-l O* D oi _J <-• o 3 co -i cr »- o < en CD ui z i- < 3 o: ui >- io
u
— o f- <
isl • • o
— u
— <
lO _J '0 i^ UI D. cr • a. o: ~ ^ "v (^ I- r r-« < o - Q U -I
-I _l ÜD CO v. v Z Z o o z X X ui XXX o o — u u o
z o
to
u. CD
u.
w» u w u
141
& &* iy* Ct* &* &* Q* Q* &* Q* O* & &* O* & O* & O* O* O* &* Ch O* ^ O* &* 9* 9* O* O* &* &* &* &* 9* O* O* Q* Q* &* &*
< O Ui
o
o_i
I »/) UiUJ • cr:
>- — < tT o • a »- — UJ a vo • UJ rsi Z >- • < < r- -• -i »- < vo t- a ifl M •
ui ~ u a. r- u • — <
• — O) < - ^ • rH — tO Ot- <<
N. • r-« HI — Ult- oo ^^ — a: O Z N WUi N.« JO. - O - XX (y, rH »^ ~- CD — U O O r-< 1 UJ U U < u o <o -■ to o> 3 o o K-O-Jr^-r-«^ »DO i^r^Z _J -J r^ r* i-i r-t x _i a ii « a fv o <
10 -• M II U » ii II II II -~ — 11 H < 1- <i<: h- — — — .»» ■~ -~'»-«O>-f(M«n0^'~OCi !-—Zr-»rg««^i«>cr^o>'^<-«fH^4rHcoiu u
Q«-i U -J -J _! _i _j -J-J_l-J-l-l-i^_JÖNl
u a
— N a — ♦ o
►~ (\ N -I — CO u.< II I- I- OC UJ N. z
to a. • o
a: ~ ^
O K Z rsl OD Qi _J rgo 3 oo -J CC »-o < ajoD UJ Z K O a IU »- i- i0
u u
en lH —• V.
z o O eg
(/) ^ z UJ< X h- ■-«<
— tO — to •HUJ
*-* — « — _J Q.
I ui u u OD O O CMZJJ^ir-i-«r-« to ■»• II H II tl II II ^1 ^^.^^ — Z'-i^coJ'in* U.O- <- MU-I-I-I-I-J-J
* o — (a
— i- >- OH < w M w 00 ~» <J < u o K O -J K _l II II II — — -. O r«- o> <-4
H II
iH (N|
_J _J _l -J _l
U. CD
^ U
142
Or4oi(n-9in>or-<oo«0'-i(M(n'*m<or'<-ao<hO«-ir>j(n.*tf\<ar-a>o>o«-io4(«t,^in'Or>-<ooo<-i ^f>.r>.r>i«>r>-f>r-r>»r-«oa)«»aco<o4oa>a>OkOkO»(h»o«o>o«Ok9ioooooooooOf^»4
♦ ♦♦^♦^^♦'»■•■'♦♦•♦♦■♦•«•♦■♦♦♦♦••■-«■♦■♦•♦♦♦♦•♦■♦♦■♦♦♦♦••■♦-♦•♦♦^
•»- en o pg tn -» m ^ <o in • • • • -o
• w og en ■* m o • — rg o Oi- •>••>• • • m •-• • • • • I rg or- oa. tvm <o
• <n PH rg «n •* • • • • ••* «n < UI
•- JQ. < in • oj.» ■» ■* pg «n ^ «n ■» • UJM (/) UJ U. 1- -• -« • • • • _I<Q. UI — < UJ UJ o • » • • • • Ulh- O X tflf- I < m • • • • o pg o IU a. >/) x LU i- A. •
TH
ET
(5
0»
• 30
.5
5
• 60
f-4
• c-l
o •-! pg en • • • •
pg en ■» -x«
o 4" • in
r-«» o h- ui r^ r- (NJ t-^ •
f« r>j pg en eo <n • fV • • • • • * «M — i- • • • * o oo
o o z t-> oo in o o> o ^ pg o o z •— m x oo a» r- «n • • • • r- .* •-» < w • i-i «n ^ •* ^< en * in • • 3 <<<<<<< •^ < - • • •
*- o uj in « •> ■>
• < * ^ * * A
in o »- * • — «mom o <Xi o-. o -* • 4- • « -1 LU Q
—.,— t-i <-g m r- Oa. rg • • • muj
• « • • • • •-• pg -* m o
• «O • 4" o • m • -o gj
< x lO — UJ in • • • • * » a: I u. u. x a x x v • • • * * v. ^ O N. «O O a < z o _!•-• a> ui s: io -~ tn r- o> o« m r- a> o* o 4> -« in -« pg u. _i ♦- « I ui co r • oo • ^ <■ rg r- tn • • • • • O m o 4-
< UJ a üC >xt-xzx — cMr-«^* ■4- •vi-tpgmin'Oin «in •
< UJ
* < H- m • • • •
Q -. — II • • •
• o • • « «
* • CM en «o m .i r- r- «-I * m n o II o
«M, oc rH ^t rj n en 00 < Or-«MOinotn • vo r- oo c» 4 ") CO -j o *» t- • r-« xmz »rg^-r-o •-<•••• • • 4- • 4 •-• V) o • — x — • • • • » »H pg m -* vO ■—••-«.•
* -J
CO UJ
o ►- o
o — o X • -■ *•< 1 1 *< ~~
~) -) -) C5 00
IU -1
<<<<<<< «—• uxmrt»»*» -> in so r- JO w • • • •
CM r-t pg tn 4" •
» * » * »H •-» pg o w pg », oo pg 4' e\» en 10
1- fM ^ < • »- — X CM O« 00
_J UJ •-« • i-t (M 4- ^ »H- — • • •
■3
• < m Z Z a a UJ »- ** *-* Q_ »« 1-1 ►«, *—**»** » X • X • a < z a -1 »- O M i/> O x a: • OI — • • • • X >- m —' r- * K -• CO Ul < O cO 3 « < namcL^mOin o a ^ m >o r- o « o» • h- t- _i z ui i «o X •■*»-•-• X »o >. — • H- rH <* vO o^ — • • • • • — en — m N w!liil^03UU.i-i I _l Q < « «; UJZ»-''»»-« • • • • • .-< pg p-i -* o rH • C\! •
U Q UJ •-• to < o l-t UUJ <(r>/)i-o:oiooi -) — «• m UJ H H- X «-• uj<oxQ:3xujauKina >s i— • • • • * »-•»-• < OUJ<UUJ UJ<U •> ^ • w * • • *
tn
z oo • en >}■ m >o 0^ -^ • • • •
a. oa. r- — oa:
\s o o a LU >-4ooirtcMO<oh-r-cDOin>-io>mr^
UU UJ CP LU UÜ • UJ en UJ en
X 11 1- u»- o z >. _J rH <M »n m «n en ^ !-• — K o pg ■* ■4- en »— rH rg en 4- m 36 • 3 • M rgoo Z < O_J«0-«'0<Z< •-•r>-zcoa:z • • • • • z I/) m
— ii ii H- a: H- O < UJ o > e>JO Z LO •>*»■> * «» • m o — oc 3 _J a: u a: X »-H X UJ to < • * • * • < < oo < oo fi (NtCOUJ^OUJCO X o —• X X ui »- o in o m pg t— pg ;i 4- m vO 1- C> f- ^ — U) w >. UJ za z) oo<<<<<<<<o-«Q:<'Hfr>^} CD • <•••• • < en < en -J i^ _l <(K Ul V) U UJ ^ -,_»-... «^ w «** u Q a o • • • • >-« Q ^i oj in <♦ in Q • o •
u i-nrgto-* inof~-co i-i r-i pg tn 4" tn r-i pg «n -J in rH r-H o t- r-t u.
CO •-* w i.; u u u u
143
C\i*\.*Si*V(*V.fMrg«Vf\.rgrurjfVifN,»vr\.«V(l>i«M#N.*Si*N(CN.IM«V(fS.«lf,y^^.«V«SJ*N.fV:f^»\,«N.»Ni«,i.lMIM
CD GO O O-^ o o ©• ^ t-l .-« •v. CO O t^ tP <* * >o m ♦ m r- • O • • c • • • •
o o
o-« in ir •-• in c^i o o r^ * OflC * f^ *\ <c n « o .* (T O» f*) -3 m r^ • f\ • • «-■ • • • •
» • » » r> • • • • in o « r o (M in <o O < o a * «r r- 4 ^ •-• ■♦ • <n in o* «^ 4 r< r- • r-l • • • • • • • • • • • •
«f> IT O • » » •
<C CD « 4- rg <0 «> « oc o ^ ir ©>
• •
• •
«r «r «c • • • • • •
m « ir> « • • • •
• • • • «DO öD « »r ^O«^
O • ■ IT •• • O • • • >
• • ••• • • • •
■ «VJ ^r ■«irin ■ ir (N <f> »^ «r
O— •«»•••'-<•••• o -> -> -»
•-*noo ••©«eor^oi^t'r^ao
Ofvir<o<Ni«n«r>- »vi^ ♦ ♦ * «j •^•-••»-••••-•••••0
Z X z z • K« •»«•••»(••••••»
o • f~ «) • f- * o« • r- ^ • *-• IT
t-tfrt« • 4 •• • ifv • • • r «»-
*0 N.
* z <
IM IV O *
z < c < « v a lu UJ X
z <
v
IM
I u <
I l«g z X
*
X
oa out
• o IM
^ a
IT <
« < m <M a i<>
• •
O CL K M » • il> «O UJ« •> ^ ^ o « uin M « r» io • jt • • • • •
• •••»•> tfv < as « o m « mK o> « ^ «> «
• o • • • • • IO v-i IM m 4 «^
o a ft « I
o ♦ o • H o «A a
e — IM • • o
< c z ♦ a. • -JO _i •< H Ul « oo
IsJ Q. U.
UJ O
• * oo • tr, * a z *J c * « r- "^ • «M ♦ IM * Z • * V* — < J _J • UJ UJ f- c o • • Z -"C »- * • V) U. «n * z • «D— I f- a • «M » •-< • IM « — a o
UJ < o UJ z o » Ul
N. Q. UJ «M •»- • UJM
— « • UJ «^
m iu — rj _J3 ZN. ■ m'— OiM c a • «o a *• v x <• »~ IM N «iroi < ft. UJ JO ft > »• < X DO.« Uft
< —
* IM ft ft * IM
•
Ui IM (D O- z - ft *- V ft oo z m ft ii « « fvi»- X UJ
o «o
ISJ « • z • IM« — • »- X • «
« —«- • »-a
•IUJUJ »MUJ
*-z«o «to • • ♦ o f*iZ«» • »J- • «x —»» • « • •-• «IM — ^Z ■ • I- • oz • «ft
z < *
z — -a z ra -f ft
z • • • « ■♦■ .-«o •-• — 4 — «M Z O * ♦ • K « * — o • ft Mft _■ ri • Z UJ • t- — a ui o »» -- » ^ z • N. w — a « <* • IM " >. • • • a — ♦ o »-«u/ jo UJ • "- a I D CD m 3 ^Z «- » Z ►- Z I a n Z » HO» rs(«»-a»-f-t_i»-»- • X UJ --z « y z • «Zu. ozzo o 30^»»UZXOU
c o r-i IM
VU
IM
r4r<oiriic>i<yirgi>ir4r4r4rar4r4NC>iMrvir<iNr«r4riioic>ioir«raf>tf>ir4<MC4r<<r4r4<>i<>ir>ir«ri|(>i
• oc Mi a z
a o -i Q QC >
ca cj »t •H fM CO
-> 1- o
u < < <t z m >- * Q. • • • a. O UJ UJ ^* h- i J-^ _,-L ^x
UJ rg o tO o 3 Z O r~ to _i -< to X a> o a: a to 1- • u * o O ui a. < f^ < * «** »- u. • X O QC X ^ z < z a a o a. ^^ < 1- o X < • • • • • o Ui o < M f\j <-4 ■~ Q < -1 ui a •-too t~ + z z ♦ UJ -» oc < •-• fM «O z *XJ < < z a « 1— (K X z r<« »- Q •f (O tO * • X Q V X -I X — o h- u < — 1- iO •« -1 O O U ^« «# ««• a < a -» ♦ OL < — •-• UI H- f^ VJ < < < UJ — _J \ o -x o »- X rt o — < tu — u *^ z — < Q. UJ < X ♦ to < •> X V z M < w O "v -JX -1 U. h- •-• J * •> » tO -1 x UJ KZ tO < -J UJ < UJ ^4 D • to • u * UJ * 9 X * o Q H- Q »0 o a. -» a. «*.-.»* OJ z —■ 3 — s VX Q. •f UI f X z z o • h- x a i0 •• >- — J V Mk J^ •-t »M o a: Q. M ♦ LU Z 1 - + -> UJ (NJ f-H • i-t • _J »O -s U. UJ X a
— Ui _J • M 2 UJ O
«z «0 -J
- Q Q. < H ■
1 UJ ->_l
1 i^ >- to ^ z U U ÜJ i-l o
X Z UJ U M X
Q. x to a o« a i i w
• OUJZ
»4 k-4
X UJ -• N 0<
»_ ~ «> UJ -j -> < *^
• uj i uuj<a.to Q UI < < ^ U • • »
CO liJ X UJ «» II ►» ** * » •-» — UJ UJ Z "- -«
5- -» 10 X UI -« out UI
Z_IV_JZ — — -^ >-»30«nuJr-iai^ a D »-• a X < n U — -• « 3< H *- H 3 - <* D Z) O »- tj "S N. _J l-l f\J IJ z — ^. ^_ K *• z X — — Z H- UJ OC — < •» z >-♦ z z z Z 3 _l Z Z <
■'«* H H II H •-« *>4 <x -> « « < 1/) I-« -) 1- 'H »4 #"«■* «0 o •—• r-« rt — ac •-« o < O O > »^ iH J »- -J Z ZQ <■• 1- XX - »- X H- ^ + -ÜJ + «> 1- X K K 1 1 1- 3 _l Of LJ T X M n HU2V^_JOZ i-4 *-* ZiH<«o<aE<ujuj->< — -« »"* z <» z •^4 ~)Z^-Qvco arsr-j ^, w X>-ZOZUJI< H U)0 M KXKOOXO: H >- U. M tO O U. o o II MOUJZO^ nooirf<*-«r ZZXUXQ»-»- •-•XU">UJ»-UIU<l-Q.-)UJ-i-t X u — OU X Z u cc u 1 to tj U UJ ■» w w
U I-H rg ffi o o O o o o h- «n >*• in «o r- o u. so
145
m«erte«o<hO>-«<M(n-4-m<ori»«(>o>Hoi(«)<#in%o*>><oo>Or4(vci<#tft<oi>«flOO«0'-«(M(fi<«'m Ok»Ok<><hoooooooooOf-i<H>4«4r4r4«-«^<-4>^MCV(>j(MrMM<M(^c«(vm««tm(n<«\cn
raMr4iN^<>iniAir>ii>ir\(Nr4<>l<>lciiNrti(>iNr<irsi<>i<>i(>|(vri|(>iCiiA<Mi^f^M(>iriir«cii(>i<M(>i
~o • * O if» -t * •
* • • • o om
en o 0»
eg o <n «o
K <-J «n -> CO • • * X_l — _J 9\ • • »r^ » m • o << UJ J 0> O <0 >0 Ov rsi r-t • h- u. »-B ^ •-< << »^Mt-imoooitn z Uil- t- > *>4 •- X • ovr^mmen^m • «-• • • • u * Ulh- o> o> so «o en c« • v a. •-•«««« ^ I • • Ov Ov CT> o» o^ «0 • • m * r-r* r* ^t *- -* «••••• • m NO o m en i*^ <*\
m o
• o • <> m •
• • •
•
4 o • • • • nj
I-« >» iC\ — • • • r» •-• m 0» • O o * ww w uj < -5 <0 »H (O r-l f« I-« • eg o << < 3 •-^ x »-
z • co -^ X o t~ m • r-
eg »4 m •>•>••> •> o« <o co r^ m co
• o» m p» o co -* 4- o Ok eo o 0> •-•
CO 4 rH rg •
• • -»
•> •
1 rg
* Ä • • IM • » Ifl m o tM r- 4 4 m r- ♦
uj a: ^» «^ 4" O» 0» 0> 00 v0 -J1 OOO o * < i0 o X • 0^ 0> O O^ 9> o • • • Z »» »• »- i/5 ma: *v • • • • • • • m * X ^ >
<UJ UJ XUJ 4 ^ • • • • •»
• oo • < *
x u) Z X • —z
fl— .k «*« u. UJ t- o Q. r ^ • rg o • • • • rg • 0> • • » • « To. • • • «O O 4- 00 * • h- J • ««•««««« *% < • ■*~ rH rH M r-l r-l r-< •> • » f^ Z 10 z r»r^ r«- r^ fSJ (_ — ~ o II • • r~ oo 4- »0 • Q. • oo en oo ^ UJ o o m M rg • • • • r- * 00 4 (SI >» D a ♦ ~
rj O« h- • «Am r- • « o rg o» <n o> •-I 00 r-l —, *m. • i»4 •- j « 0» eg -^f- — w •~ h- c~ O (n m en m • •■ • z z g» O Ul i0 —
~» o— t- X « co ^ o rg m 0> 4 » o •> < < < I a (r < w w w w < m > rg » — 0» ^i ^ o> P~ 4 i-t • * • •^ ►-« ♦ OC H- o < i- << < < •™4 -' • »-
< — a t- oo. UJ m •>
»— 0> 0> 0* o* o> <?» rg o^ • • • • •
a • • • • • • a o ao • • •
o> om o CM • 00
* < < OC oc
m X o • 0. 1- UJ »- — wo rg >w x ♦
o m
9 • »^
»■I •
9
• • • 4 1- a. a
* cc «n a ►- »•- «>« ^ ^« •» <-* «. ^ o t~ * • • • m o< rn t» 4 O UJ UJ «^ < * a a H- '-
X out m —■ — eg M ^t ^« l-< rg Ul UJ rg ¥- O • ♦ • CK xa m o w oc »«• • • • 3 3C «^ ♦ 10 i-H 1- CM < < X «0 ~- » ^ — < >* « • ifl «fl D« X *—• 00 ►- K- »-
H00 UJ ►t — oo m H- H- •••.••> • o • %•■«»« Z o * • I a ui i/) W1I cc «o O I — in co • o rg og «n r- rg «o o Z i/)Q I mz o KO-X xt-a. a z: xm K a X I P (O 04 rH «o r- O • r> « O < u • r-< o -o. a. « • •>••> • * H o o« o> m o «o 4 » W U 0£ < o • *m rH a » _i — ^ <M» ^ <^ *^ z oz z z »- p o» 0s ^ co m rg • * * * « * u MQ 1 _l —OQ r-» h-r«- i»-f- rH O n O O O * o ^ c^ ^ ^ 0* a Oao -J I »-*rg M <QeUJUJ— f-* «noo «o co 1—4 «-•■—• »-H 1-4 t- O * • 9 • • • 4 m UJ O O • ■H »-ia*-D>-'-«'-«
^i ♦ m v» a: tf) IO w z • rg t-t X > < • tH ^^ N U Z M X ~ ~- CO ^ —> 2 ^ z z z rH **•••> «• • * • r^ N Q « II 11 a: oo: T ■-. rg a: -> a:
•H < UJ uO UJ Ul UJ Z UJ X X £
< •> CO <0 • • • »- • • • 4 eo fsi
• vO
o • II > II Z Z < U < cgt- t— 1- »- W) — < ■"— -^ ^^ -^ "^ v< u/ ^ »-i i f— r^ ►•• tu *^ Z 0. UJ X K << < < •^ «4 Q£ IM >-< »-4 < O M ft r-l <o m xxioiouuiKujoiu-ooaaio w *»* w w • a a Q Q o a • o z z x r) < a a. XQ >- (-< u a. a. >- x 4-in <o r» co i-4 fH «-« ^t rg en 4 m ■H rg en
u u u u
146
1
«or»«io>o^irMca4,in'Ot^flOO»Or-tr>jrt^in«oh-«joo»HfMi«i-*«nvor^ooovo<-i<Mi«>-»«n^)r>-
iniA^iA^iniAin^u>iAiniAiAininiOiAininin>rtintnii\ininiAinirkinininininininininininin
Nm rM CM n
10 tu
z < — z Q s: a ui ui u z X o Ui cc
"• x o >o m (M
ry|(Nir\icjry|r4r4r4rgrsiriic«irgrgrNjc\irtirsir«jcMr4<\ic>J(>ii>irgoi(>irttrNirti(>i'>t(\i(>iN(>i
z • O «M •-• r-l k/) LÜ Z <M UJ • X X — m Q •
uj —.
< -• z — «1 < Q I- a u o I o a
>u <
< UJ
UJ X
o o i-H «o
UJ •
z — ►i UJ
<->(-»- n z ->
o
UJ UJ z r
< m UJ rH a -^
X z
<o -I • >- ou X rH UJ — z
UJ Q — + rt "■ I
I « ■; X —
«- (K »H Q: to I < ui — >- Qi •-« 10 Q. — K II X It —5
co (vi
£ x ii x oo m < 11—3 os »> o^ QJ ^«>H • o\o«<r2 o UJ »MM II ooo>o»<no O 3 rH «1 w ä .' |1 •a>0>'0-J a z+ — x — KOi-t^-ou. a. ►-. « cc o: -. u/ •-• n n ii •
x a: UJ — a ->
za - • n x
■H -> S
<t-Q. '~»-*ccaC'*ui—nuti» v m XD Q.K'-*<i/) — Q»-«.-.*.||_| M m aO>-OZ nt-UJX ii<rHrgfnQ._l(M«<-H Oa:cDh-0'-'i/)a:axa: — ~«-'X<ii II no u-co i/)u«-'xa.H-Qr>aa.aQuzz->o
■H rg o o o <n
— n x — ^ »H to — UJ X CE X Q. »-
< —10 -> X «- n > — II !-•
>-■ < — h- > UJ
o H
z -~ • ->
2 <
< *
VO D N.
-> -)
> X — or 2 ui < Ui ►- ce < Q. K 11
«z ^^ *■* • -> -)
UJ
Z * •-• -»■ I- ->z II o -> u
m
o n
+ UJ
• • O rH II It
o
o a
r-1 r-• rH (>J
II •-■ UJ II II ►-•«-• ÜJ UJ "> <- Z) »H -) D3
UJ Z UJ K Z 2 O < •-• O O -4. «.7 ■* t— i— >o in '-- to
UIZ UJUJZZ»-',-< OXOOCXQCOOtOtO QI-UQCII-Q.UUXX
o o o
147
COO Or-ttMrr»-t«f«'O^-C0<>O^rs|C0 4-ift>0r-00OO<-«rj{n*iA»0r>-C0OO^fN|fr»^-iA^>r-C0 r«-h- «oaiao(oaaco«oaa<pcoo«ovo^o«oo>o>oo>o«oooooooooO'-*<-<<f-««H>Hr4i>-tiHr4
«MW WC4^wc4rafsi<\ic4PMrsjrsir>ie>ir»ir*i(><rarj<M«>if>ii>i«Ni«>lPiir>ifsi<>(NP«4«>jtiic14«\ir»j(>i«>i«>i
UJ < -i tu •> ai M (/) •
r IXXQ.— io O • • « • • o >- M « — — ~ ~ m < ►- lOr-tr^f-r^r- ce — < .-•<n«n(^oo— a: — 2 r- r- «n UJ < i-i o «N r~ 'H uj — < r^ ►-• »- UJ *- — < M <
. ~ Q UJ a o z x z • • • • • m < —O < r- oo •
^.•-«». • in ~ X O K UJ >- O r-l o<fl'->_j3 a f\j~ -JO. t- W) X • -J »x u. UJ a. < a. ui o:-^ < r- ui
• x a: o ►-UJ a. o-« i »n i- -J Z QDOLMDZinO »- '*M < < ••••••r-in Z o.»
— z — -..«.«.*» ^.—-. i- ui UJ -- o Q:Q«Mor>r-r-eox~ uir-i in uj<r-irri<^tnoD_ja: ui 3: — a. »-a r^c\4(>io< O iOx <M x» ^-aat- — a — _i • m o " —01/5 -JUJ ZI/J
I». (jo— — *- ■<ax — «-«a. ui UJ KJf* <<<<<-'»» X* l/lO v 1 <w-,^.w— a:>- * a.
-. ». Q. (- •< OO Ifl K _j • zziu _|i-i»«.»»«»inin ui»-« ui—• • •ui 1/) u) • r-h- a: u «Ni > <NJ r-i r-l rH 5 UJ Q.— *-.«*«— -~*.ww. aO * 11*^
-~ ■«/> ►- •© UJXXUI «-I ♦_I2»UJ ZZUJUI — 2< ceo _i a < o: a: < _j ui o UJ 3UJ — —<<Z O-l "«.«O lOuJOiOtOO'* »/>> «>—•♦» << H-t- •« ^ _i D z «H a uj UJ ui ui UJ m <-» a. t-* -Oit\< K-I-UIUI LO. U U. U o "-• x o JC x a •-« a: x — MO UJ <O •— UIUJ xx ui _i u — uiQai^oa.»-iaoa •o. H a:'- ••< «MH-t- OUJ<(/) 3^<U»»»»»» • »-«II < D»- OXO — — II II ZUUI -JVZ — -»— — — — Z-~Z II -> _J *< U UI ,-ICNJ •*« •-• »-i cD0UJi-ior^f^r~-*0O0 "i-)UJDui moc »iiX «.~ MfM II »-3t>- N.V.-Jr-trj(M0O«O I-IIA»-« —DUD •3'- -*0 XX — — >OZ DOOi ZZ< •*'♦ i^r-tO OXZ-JZ MMi-lCKrHirt << x x i/) -■ a: 30-JUJ 00> o« z — z «_!•-'<•-• u.— — Q.— JEXSZXI-D o a u. Q. XX»-' — UJ x UJ r* to H> u t-fM z »H ui z UJ j << eo oo II < »-Q _l£Q O XX3 — -'<XUJX aZ Zllt-t — D—UJ_l i-H I x xa UJ z u. D a ooa<<<< <*-***-<- OOO O^UJUJIIU.»-'< UIUJ t-l-ODCKUJ 10 a UUUI«- — — — — — QMQ QQ.U U^D3D«-«<VJ
u »-«(Mm-tin'niH
u. o o CD 00 O
wuuu uuuu so
148
(>o<-«rgra-4'tn«or>ooo>o<-<(vjm4'tA<oi%-<aoO'-4ryirrt4'io<or^coo«0'H(Mm4'tn>or>a}Oto
r\irN4cv(^r4r^rsir^r\iojrvirsirNjr\ioj(%ir^(\ir\irNir4r<jrkjr4N<Mr^r\iC4rNjN(\irM
04 * — * > a on x o O KJ V UJ — <S) -" * P} UJ >■» H- a M
o + ♦ 00 (M I
O 00 •
o -.00 r-( — -o X — UJ I- f- < NJ Qi II 3
UJ —
a
rg I
CC * O * {/) «-i
* D _( O UJ UJ > D
o
(M * *
CO >n 0^ OJ
m v — a — UJ cj UJ — 2 UJ I/) < — O Z UJ - z i/> o ♦ •
UJ ro > — — X * UJ m K- • »I I • —* —» nj rg
Ul X Ul -1 —• 1/5 < a II o — a rg •
Ul «M ru UJ * « * < * »O m • • I O I UJ II •
rg M U (/>
3 O UJ Ul
Ul > « -* II rj rg o:
. —a. rg UJ Ul Z -. 3 UJ - UJ 11 ►-• ü.
Ul
< «* O rg UJ —
m rg oo
— o »- nj • 00
*! • ^ m II r-*
Ul — CO
•t- z m (o ^ -• -o l i^ 1- «D « HZ — ^ O OIL. !^ U O >-
(M rg ♦ + **rt •-• 1—' «■#
X X CÜ a; 10 i/i u> UJ or. CC a. Q.
X X a 0: Ul LO UJ UJ a o: a a
X X cc cc <J) if) ui uJ ce — a; a. -«Q. • * * — x — i-t o •-« I " I
X CC to Ul CC a. >
UJ QC 3UJ Z Q
I- _) Z _J o< u u
x — Q X > QC Qi >/) Ci uJ •■ CC -•a p» •*• •••■ >
»-• Oi — UJ X o a: i/) _i Ul -I QC < a. u
rg * x a
rg X Q
CO a
rg + *~*
* «» — X l-l CC + 10 t-^ UJ — QC X a. oc «» lO —. UJ r-l
CC + a •—• m ■^
<— X »—1 CC •— iO X UJ CC on 01 CL Ul • QC • a 0
* rg —* + »—1 •-« + <_r
^! X •-« CC X ^ CC UJ l^ CC UJ a Q: * a —
— ■♦-
X X a: Q: io I^ OJ UJ o: oc a a. * 0
• • 0 0
X CC I/) UJ cr a.
fM I
X QC 10 UJ CC a. >
Ul CC => Ul
Q
X QL <S) Ul
— OC rg a » * x ~ O nj • I
X ~ Q X >- a CD to Q Ul • OC
** a rg —
O
00
rg
X a: UJ cc a
I
X OC <S) UJ oc a
rg I
ro
»n ••• "-' fO X X CO CC oc • lO lO O Ul UJ ro a: -~Q: -» co a. cna. 'fn
x oc lO UJ CC a
x Q: tO UJ CC a
o
eg I
I
x CC S) UJ CC a
X CC 'A Ul oc a
X or 10 UJ CC a
rg I
X X CC cc to lO Ul Ul QC CC — a a. vf
— X «n o I •
—• (M ~ X X o CC V i/) DO Ul Q
-> CC • <n a —
o —
> CC Ul o
I- _J Z _J o <
x ^n i-4 > o 4- uj 4 ui o: • «O 3 « D Ul
rg Z •-, Z Q X o -" I •-• O t- »- »-• H- _J >- Z — Z -I m o o ü. o <
x>xin >x> + in OCCQ^-UJQ:QCC-«4- • UI »OODUI »ui — oo
•■HQrg zOr-^QX X x o —• x cc O 0_JQKI-_IQ_JiO»- >-_l>- Z_J>-_IUJ cc<cooo<oD<tt:o
X oc lO Ul CC < VJ V, . , ^ w -^ ^ -., ^, v. ,... -., UJ ■-. «-, v..
Q.UOOU'-'UUOUOOUUQUG.O
in o 00
o CO
m (D
o rg 00
m rg
o co
in m 00
149
<o<0'A<0'0<o<o«<or»r~r»roh>r'^^r-r>>r>>co(0(D<8c9ai>(seocoeoovo>otOio>o«oo»o»o*oo
0f(^NNr4(>iiNifMc>i<>ir>«r4f>ir«rNi<>iNf^(yNrii(vi(>iriiNr>i(Nr4Ai(Nj<v(^(>J<>i(>i<M(>l(>iNi>l(>i
• rg
z o
V. N-«
«« H- — < •x rg _I >— * D * * X ♦ u *~ •~ ac _l
»H I-« «o «« < 1 1 UJ 00 u •-• •-• a in w **• a o» > Q X X ♦ CSJ t- z a: ae • M < io o r^ /- u lü UJ 1 m o -1 ae ac •—1 V -1 < a a *»-• a UJ z • * X Ul > o •» *« oc UJ •-• f\i <N *n X m z tO l i UJ irt m *-« z
i«-* ü^ oc «UP co Ul w •» CL z • Q X K X 'w t-t —. »n aJ t—*
ac oc •V i0< m I Q «/) tO « ♦ o 00 l/) 1 UJ UJ fNJ -I UJ • f-4 ^* o ÜC K * UJ £ o _l m 2 & Q. ♦ >o « CD • l- m • «k _J w •> 00 < rvj a *•> ^ UJ ♦ UJ <*«■» »- i-i oc Ul
«o tn > mf- U) Ifl UJ o • 1 • <w • N a UJ • u. z «-• K4 •s. 1 • UJ < «» W X l t- H z *4
K X Q *-• —i w-i o < Q cc ae ♦ •i^ •■*♦ u. z IM o: < W) WO X Ul X z fNJ U. I- a: UJ UJ O UJ _1 U. Ul z o • Q£ (X • >- — in Ul z u p-* *» O -~ a. a. rg cn rv! < Q. 3 « z UI u. o u o • «» »«^ >v Q ♦ H O V UJ UJ D z o 1- tOU r-l —* ^ - m —« * * - a -« 3 o •^ o Ul < — ■«• • 4- • rsl UJ -1 »4 * <M • Q: X UJ •H t0 — • < 1 X 1 X X ►- Ul ^* «^ U. .-«UJ O 3 ■ »- Q J M ** Q -« O o tsl > UJ •-• z u. > IH * er 3 o «^ • ** • ^. • V * * UJ w r>- *H zz * • a. a. to a -» >< •-< K r>4 aa OC f-< M UJ ■* Ul -t o m JN z Q Z • o a xa x o 1 U. < UJ 00 D UJ u • < (M •-< u o: o tO Q to Q •f o u. z *■* »^ •> J D I rg h- o •» •-« M «s, \0 UJ >-iu > f» ^l .-• z »X <o< o .-t — N fH OC UJ «o x x m a z <-i ae doa (0 X «U. M Ul rf> u. m 4> ui r4 a T U < Ul K O <-• a Q a o o rH Z UJ D • < CO z o • • U. ul Ul O • Ul 1- UJ u — *>• • •« • >- 11 -« D 1 o a • tat o o z * »- n o O UJ < X X < > -.> - CQ OUJ X UJ UJ f«- m ui «ox II •- -J rsl >- Ul Z _J X -1 v
UJQC «a « uj a Z 3 II M • X 4- Ul m Ul D Ul • rH UIUI Ul II — Ul • « 3 V(D O DUJ w UJ *» 3- H «« O 00 D CO D- DO- l-l D D > J«k ta» Z3 •- U t0 's 'X ZO KO X Z • <H m (M IH •^ a: v) «• z z in z — J- u. z ii n M UJ z a z Q 3 -1 «Z Z •-« ae ae -• X mu. u. •«• a. "> ►x o •- 00 — UJ< z ^^ u. — — < *-< a oc <M O < XO O t-J O J «fl »-Q II 00 Z Z UJ Z_i-)>-o»-t-<»-KX »•4 t- z- X o»- z z> •-« a: u < x x Z -1 UJ _! lü Z >■ •^ ►-• UJ — _J «« z ■ z - z» ae UJ i »4 «» Ul UJ Z •^ K Q X tC X X o< ac < « ooa -> OUJüJ •-« u.<u.O">oou.Ott:OD UJUI h- X O u. UJ Z< D o o uuQ.ua uo -»ODD ~< M U ** u -> o u •-■ u XU. U D 3 M O U ** OC U t0 u u
«-• rH H r- m
1^ u o m ■* o m o O m u. 't' ♦ 00 sn m o <o « CD 00 00 «0 co <o co « —
u *rt u u
150
rgrrk-4'tnNor-co(>o>-«(\jrrt4'un<or^GO(/>Or-«r\i(<>4'tn<or-(oo«0'H(>i(n^'ir><or-<o(h0^rsjm OOOOOOOO^rHrtr-t^i^r-lf-tfHi-trg.MCMfMfMCiUMOIC^tMmmminrtm«;;»«»«»»**^-*
r>jNf>i<>i(>irsiNC4rgc>ir4r4Nr«nir*r4t>ir\jr<jr>ir<4r4f\ir«cM('<<<>i(y(>iN(>i(*(>i(>ic«rj(*N<V(\iN
o in
UJ • ••**•••• UJ ^* KM» «P* *•* «^ *-* --* «MM -^ *—<
o <
X »- •-• X X ~ o < •-« a u < o iiJOa:i/)0>-»-üj-« in ajX3x(r:MUJ3~. r-
~ . ~ UJ >Ovoor-r-r-r~-f^<r o *«
r- CJ r- a> ~ «n rH 4' >o o> o (*-
N» in •» . . . — _< r- x
. x— t- _J O UJ
• *••••••«. ^m x a r- H.
«, o ~- • UJ x a.« —
-j-j << •a:~ o x io •-.ejxi- ^-00 m 0 Q. auj'-'ü,- o a m t» UJ o»-«o^wix m»— — CDXQ.XQOX»-Z r»-~^ X • •••••••• —ox < ^^^^^^.^.^^ am* •- mino-tr^i^r-f"-«-« <r-~ UJ
O»4-O><M LO—moo — fnin(> xQr^mino
w » O — w — in — — — w ~ — < —Qi/)i/)»-r- <<<<<<<<*- o»irt'-ico«- ww^-w www in~üJi/)iiJx
— OCX x cc -< *«•••••«• vina»a.vo
• i«- • «~ • x ^ ~, w-^o— •
X O LU O T» o — Q:_J in<in — ino
üL UJ <</) —of^io—»n 1 z _J UJ f-a. cc •-• UJ — _J ►-r- UXMüJ <-I tOOCLtOXtOUJl/J«-
uj<OQ.>>-<xxa.zxo>-oxx
z „„ — ^.-^«^z^zzzz UJr-t^lOOr-ir^l*-f^f»-^(DOOOOOO
< r-iMr~r«j ioh-towi/)to > cvmr- z — zzzz <-• ~ UJ K UJ UJ UJ UJ 3 w- — <S:UJXXXZ
Ujwwww .. «-QrslOOQO rHJNJC^^finvOf^-OOOrH f-l
CM
tO
u> X
1 ^«k
M-t «»» -6. --»
«o -~ -« i-i n iO 1 >0 X — O^ r. ♦ — o rg i/) f<- ♦ x m * 1 • *« —. r-< — « M ^« — — | »*« >—■
l-< (/) —
» — X to «K »^ ~- _» •-• V v,u 1 1 —o
M« —. #-* •Mi •-• «-H —*
•^ «« >» 1 «^ iO — tO — <-! K -H > ~ I
O ♦ | - >- « <-4 «<k « w | w o •H ■MT — »- ~ — fM ■> ** >- cc — «o • o •-• + O -^ X o CM tO — «/>>- t-t
— iH X « + — • • ^ • w ~ wO o - o »» »« X* v »H z ui l-t « M (M o o f^ ^ • «n — 1 < • ■»•. ••• l^ ■~ X iH • • w w» <M • * « »- •-• ^» X •-« II <~ r-l ►-« o >• >- n ou^ — < - w M4 II ~- ►-• ~ <V UJ N (1 d UJ II N UJ ►-• N • tO M -• to w UJ — V X ^ 1 D «« •<"• f-t D ~s. ** 3 A O X « — -J tO D •
■-• r^ M H — 0t Z >H ■>4 Z <-» r* Z o« «»—•-• UJ _) z o it -,,— a; a. >■.: •** w o 4-< «- •• »-4 o- \n a UJ — ■ > (O ^1 rH < Z ►- ** •-« ♦- t- k« »-« ♦- r^U) « »- tfl X N Q J- Q U) -> >» w 1- «. Z O g z Q« Z *■• -I >- z « Xi/)l0(0*0li.00 CO O O O O iO iotouju.uju.oa Z X >- X X •-« uoaouoauQx >- x o ►-• o -< u «->
o o o o <-» M m r^
151
r-f>'r'»*'r»f»'r-r-f~r~r»r,»r»r-p-r*h-^f^t~r-f^f»-f*r»f*r,-h-t«-r~^rr>-f*t*-f*r>-i,*r*f^i«- r4i^<H^>Hf^r4lH>^r^r^<^«>4f>4<^f-l>-4r4l-tp>tr-t«Hl-«r-lr4«Hr4«-4fHi-4r4r-l>-<i>tf-tr>4i-ffHi^i^i^
v.
♦
UJ O
10 * oo
iNJ
* * -J UJ a
LO ■V
+ z *
♦ ♦ X
<
+ in rg O
o +
OUJ O
z ^ O -< H h- t- Q
Z vO o oa o u u
o rsi
UJ
* O
Q.
* rg
* — X -J u io * V
• a. o — — ii
>o UJ ♦ '- • D Ü. >-' oz z — 4, M i-i i/) * t- Q. l/> X Z ■ UJ u O wo: < u a a r-l
o
•—• C\J-~ c^ * z: X ♦ — -r — U> V. *«► »—•
<M z^ — -* X r-t tO 1 — w •—• -^ (\J IS) ■-'? -1 * •—• X + * ^ 1 X I X U
1 i^iO < —. + « V r\ ZiO ■*
«-* «- X _l -J ■ ■-0 I/) — c0 co «H ►—* — * a. a. \ iO c0 — V s. —. X X - u_ u. — • — — (-1 z z ^* > 1-«
* + 1 -• _l •-. > CO 1 —. oox CL c0 Q. — ifl X _1 «Mb * — « Q. II > X z lO 04 * </) — o ~ »/) — z * Q. •^»» -co xa. -* X > • X * CO — UJ -' M — z u) x * M U. I/) see i0 — 10 • X • - > z UJ ~-a to X w X z — o « CO o ■-■
a iO I UJ — UJ *.«>,_• r-l — x tn a a. >- — a: o a: — X — fM a: z * "V
• 1 £ a. coa — • a: «. < • o — M UJ w — < — o i— 1<L ■* »^ CO .-ico «cc — o: M h_ « »-I Cl • • «, «>< + c0 .j a _i < — co — rg X — o X Ul ZLÜ O cO X »-a: x x • • »— •* -J 10 — Q£ a —a o CO < • < o i/) - --* W7 Ui i^a X -J N. + x •- co »- r»- coo: _J a. <£. >• — U- CO U. — • CO _l UJ r-l UJ < iO o oo a >- + Z CL z c0 X UJ I ■— a i- a a m — -—• —«• «-« « o •-< •-• • Q ►- -^ a. co o «^ i t-x — a. a. a »-« CO CO • * X • x a I O
9M a: '- rH ■w X >• CO 00 •»• cO • * • i- ». <n «Mt a co 1 • • • a: • • x m cO X CO O) p-i -> •» X coco s: ►-»-»- < i/) cO — 0« X — _i rsj w O *«*• <y) + UJ *-• J O _J o» t- X X Q. N 1 Q. u m K o c0 c0 *«i -QC «rt • • • •♦ co J • — J Q • ac CO UJ CO — XQ. Ml r- x — a. a. tat* r* CD • 1 o "* _l UJ — o: X X — M CO ^% <» «« • H — _J -j i- m + 1-vO — CO <-) iO X Q: ~) a. 11 w W — X X X ^ ^ -• a: co aa n u IM M X ■H * a. - a — II *« > X-H 1 M w *• II r* <»->- — — >rf •■* *-* ^* _l • o •-< II U)
UJ „ -** rH H H + —* cO »/) ifl « + (-U II M M ct ui^acoujujoujH-Q. ii — X ^ «H *^ + X s: 10 O V) *^ i/)»~ •— •— •» < 3 -_l to 3 > -O DC? ♦ ^ r-t ^ II z- CsJ £ «-I >Hw ^* UJ UJ UI o» X •-< M x X K Z X CD UJ Z H z • 00 + — — «lO ^»^ *^ + +t/)»/)<-ia:«o£ ocx II •— < < CO « _; f-oe M« —* o >- OliA ^ H- ^ t- ^ cO «/) Z Z i/) N>l + a a a «NJ< — X X t- H- X H- CO II Q. ►- •-< 1- »- >-• tn m 1 CO «- ZUJ •-* »-« — —UJCOX >- •-•-•< UJ UJ ^ z a -J w z — z •— • X UJ K OQJtovomt/xrx II u. u. u. o co ^w>l-Ilu.OOUJü.OuJOO u. II O ii a co uc x x >- xa «^ X *^ **"* *'^ Q X X X UJ 1- 1- •-4 U Q. Q l-< U Z) o u >" a Q -> Q. X
rH r-l
o O o o o r» 4- ir\
152
0CD<DCD<OO>O>O>O'9,O>O>C'9>^OOOOOOOOOO«-<<«-<>H'-<>->'-<'-<r-<f-<>-«rvlVfM(VilVfVi(V
&Q'O*O*O*&O'Q*O>,&'&'O*1T*&Ot'O'Q'O'O*&K&0'&&'tt'&&'&' &&&■{?'&*&& & & & &• & & fr
D
ac - »■■a |^
• O rg Ui ** O UI Ui rg UJ • O K K «M UI »
a
UJ 10 ■r x & - I a « n a:
lua O 3 ■ «0 XKJ • •n M (J
zoz UK «A
o OD
o
o
o *) K
I
ct
K *
z o CO
K
ir>
CD
a c
o ft I *
o •>
— <J
a o (A * U
UI < o Ui X o
K UI
rg
to a o
• a. CM • O >» — ^ «\i »1 «H * ~ • * u< o ~UJ in
Ui«
«>-
OH-
DU) Z «
JE- oui
o
Ui— o D< «T.
X Ui **• »H #P« O OUJOkuUitJIfyi»;» « « * 3«« Da**© 13--«
Z • Z »««i) «z •-*- O«'-««- ft —--o »-»-•«»~»_UJ.JZ*-»~*~»~ Ä S*" «f Ui j~«ca OOUiOO*-< uoooo 003 C/U«8U»-C/CttO
> X z
ft < »- V) X • >-
K
a ID
z o
z X
UJ »- <
x z o — • o »o — o t/i U X • Ui 3.Z
UJ
X IT
o I
*0 X I z I
Ui « D~
CO oo wo
o o o ■ UI
•• z
Si ft u
rv ft iu - <ft X ►- I- « «/) U) »- K X
zo« P o • ■ PtQ * «X
UJ «M • f^
D- *- ZK «■*>
•-u»- »u
ft
*0 X
I e
ft o o a a. >■
OD
D UJ
z ft UJ
a »-
o
ft
X X >-
rg Z • X v O j * <
ft UJ rsj X O X > »Sj o> fV — «> V » •» f-^ »■> — O «M fl» ♦ o • o X <Ni • •*• *M rio «o < «-«o %^ »\J •■* I t-i
<0 X UI —. « •-• r> « UJ • v ur? rg UJ • «- e^ uj • z « •> D » 1 i «»- f-D «c •-• — »- r o ft -« Z - *- Ui < ft uj x o •- ui 3*- S ft»-»- Z*r »►ft »► »- K
Sftl oz< «» ^
-o « — »-©ft U. ft U OOft
« »u. v) c»D "• U X o u » « o o
CD c o a «
o o CO o « c o •-«IM »4
o o o « ♦ «% M tH m* tV
U
1 T),')
(OOaoococoaQaoaocDcocooaoaoOaocoaccoaoaocoooaocoajaoaocoaoaooooooaoaocDooaoco
(4rgr4r4C4r>jr\i4>irg<>ic«i(\ir4rsjc>jr^rsir4Nr4r\irsicviry<r\irsir4r\ir4<>jr^rMfMcvir4rsjrgr«irsiri4rt|
>- I
• * * * » K
X ««i «^ •M #<^ —* -^ O o- t/) m • D ao *
•-1 *—• — X O * » •f. • * IO a Q a < CA o vO ^ O» <N» rH
K X < O H- —. -^ O* -» cM^-iinoo • • • I 0(X or UJ Q. — o • o* r^ m tn «^ 4 o o o (^ * * • •> * • in o ONCOiOtnONrgino » M> «« *~. *m. —' ~ t>- * Ov ONO>ONONCor~4-fM X rg rg r- r- (- ^ «- ■o • • • • • • • • • t\J r-t (M tr> en 00
lA o
— • V
o m
«k * ^ *
o • • • a • • • -v »H ^ a: r^- * • • r--<-4<AO^rgooin in UJ «v <■» •~ — — < • •o t-J O —1 rH r-t tn <4- vO • DC < < < < < •—• •*• X CM
(NJ UJ w ~- ■ w — — o < i-t
•-I X m t- S\ «k • •>••> * tu a • * * * • c. |^ UJ o vO CO r- IT CD rg • >/> ~- X • CA vn f» O oo -* in • • •
— 1-4 -m ~~ _ ^. -- -~ i-< ►- ^ (> ON 00 ON ON iH ,* .r. p- og »- II X X X O » rf (?. o> ON 00 ^ J- O co <-) >0 z> UJ L0 -I < a: o *~ • O» ON ON O* ON ON 1*- m fM a. X X a iO -< X >- ifl Q o •v • • • • • • • • •
O
o
O
UJ a. x o
o- UJ -T-
UJ • m •k 4» • *
X Z V«' w; j. ufc — Q x t- a o
r^ • • * • • o • • • • • • •
-o u. < • • * » * • m X * • • >0 O 4" OO CO <t O _J •» •■* •«, — <_ ^~ ~ — r- < rH rH rg rH ^i «H m ^ <o < in 3E o ^-i o r- r- r^ r — >- II • * z • O < r-l og oo oo ro 00 X o UJ •-i (M •k » * «r» * o (NJ _J eg o o (v -t a: tn * • 00 o (M ON m ON rH »—« r-t u. * in o> CO to «— «■«. ~ r- r- o m in tn Ul • • « oO UJ «-> o - UJ i- o — oo o- O» fSI in ON -t oo in o z * -^ — O u o v w — w — — cc (M tn — o* ON o« ON r- •* rH tn oo rg UJ — i^i t~ u ^ < < < < < «t a t- r- (- (A ON ON ON ON ON O oo in <n 5: It V s < — w ». —. M. *-» •» a. «. fgo> • • • • • • • • • r^ «> ff W • < «~ a. X 1- (A Q »—• #^ r-4 t- -J « • * » • * • o * *•* a • * • • • •> * «i * «
1 X X t-* UJ o tO • in .-. in a O 00 • • • • • • • o Q X — rg a Q. ~ « --. «~ —. —. — r- o X * * • • in ON tn r- 4- o NO 3 • m •—« r-t z • o O - iA » — rg .-H r-l f* rn rg 4- «n »- •-« • ui •• •^ ^-* a: o a: « a: •v » >-« • I X X X X X vo u. < \- < t- -~ o •~ (M — o •~ o ^ UJ 10 Z r-l X z >- < i— oo «n m h- * • • • • 4» •
tM O ~4 X O l-t U X ÜJ O -4 (J — 1-4 to o: io x ~- r- a> •■ o rg rg <n f" rg rg • o • • o «1 UJ H U •'UJ <a. X X X ^ X t-Q. w X O 00 (N* rH >o f^ OO • •> o <M O ■-I ro Q U < U< ■J • * •t * * • X fc-oa'O^tnOvO-Tfn^-a-
X -« X II «O X Z _J _J vZ »» ••» _ ~. »^ ^Z z z z — ©<> ON o> CO lA (Ni 00 -n oo -t UJ • r-t ►-• • r-IUJ •» D m o UJ rH 00 •* f- r- oo o o o • O O <J< CT- iJ> 0^ ON 00 NO <n ■»IB- D <0 — <o -^ 3 »-U ^ N, _l l-l m (^ m «n l-t •-• I-« H-» 1- o • • • • • • • • • <
z »—4 LU <
rj -' t- r-ir^UJ <
1 rg>- x z Z
3
D _J z z < */) to lO l^ z • • •» •> •» «k «k «k •>
>- i- + -^ v-r "^ X Of u UJ UJ Ul UJ < • 00 vQ • • • • • • •
a Z - or X « o: z x <_ o UJ CD X X D •W *^ >^ *-- —■ - X X X X »- • • • * oo rg NO C <0 rg o oa o ii o o: o o ii uj z x D o o o < < < < < < -• t-4 fcH ►^ < o rH l-t rH rg tn m u. U 3t U. xo 3 u. vj x o: UJ U) U U UJ ^, _ w «^ w ~ Q Q Q Q o
u r-< rg ro -* m -O 1-4 r-l rHtMtn^mNor'-oo O CO o o <v H- o W o o rg u. l-t n pg o rg CO «o -o «o *-*
»« U KJ U
154
^>^>r^r^r^r-r^r-r~r>-r>-r-a)ooa)oooooooocoa>ooo>o*o>o»o>o>o»o»a>Ovoooooooooo »-I rH r-l o o o»
•-• r-l ft r-l r-* r* r* <h Qy O* O ^ ^ ^ o* o^ c^* o* ^ O* (7* 0^ 0^ 0* 0^ (7*
.-1 r-< 0*
^ ?>
r-« r-l Os 0^ O O^ CT* O^ Ch
«-t
■*
r-1 * * -* ■^-t-t-t-t-t-t-t-t-t-t-t^t-t-t-t^^r-t-t-t-t^t^^-t^^^^-*-*-*
«MJ>i r>l CM eg oj <M «X o« «>lrgfM«MrgcMr«|fMr>jrurMr^(M<Mr«4«M(Mrsj(>4(M 3
Z •-•
Q UJ
<M IM fM fM ru CM CM CM CM CM CM «M CM
x
UJ UJ u X UJ
o
>t p- • -^ UJ
X • z ~ t- • O in O •-• • z o 10 (M UJ 1-1 Z r-t
aJ aJ - >
• »-« » < If» Q X K < -t in O 1— o ** UJ • O < • > »—
< X a: Q
* X Z Q ct • • z >— 1 >- UJ o o •> Q a: CD u. (J.
3
R
•-• !— z
t0 3 )
»OX
C
00R
X
ST
A
Q Ul 1—
tO z <
* »-« X UJ •—« -. i < 1- <o Q < X O w UJ < Z r- < r— H- < CÜ Z h- •—• 1— o o CC UJ o » a: X < -. aJ x < i—i • ^v X
r-l \
+ f- -J X to s i- UJ
UJ X to < • •-• • i— »-^ -* x < 1- z i—i
• — h- —. o a —' ^-4 • UJ x to O • o a UJ • m a a: «^ ►- o: m z UJ — «^ co
3 < t—
X >—
O • o i— rg
< a: ÜJ ►- —< X to ^
3 a:
Z <
1— h- < U
O o
OJ >o >-« O 10 I • in 00 l- (/) >-• H- ♦- X X or _1 z vO CO fNJ O »n x »» • 1- ». x a x — (/) — n -• -» m ^ ►- 3 3 ^ r- M < t» ♦ *-* o _i • t— O *-• *-* X o<ox O (M U O U Ü. r-<
• CD lA a: •-^ • z w- 0* • o «^ a z a 11 O »UJ fM •> UJ _) ^. f- o> O O * X ^H < ae. • • II o Q. ii - o —. ^ ox r-t o Q UJ < UJ < ^t ^ (> <t o II II « < o o~ X r-( _l «Nta (Oa <~i «O X O X • z u z ^ rH oer o (n o — -■ Q M II II —. < 1 UJ CD 1-4 n II + Ul * rH UJ * #-H UJ o i—i •-« o • • O (> o «^ l-t < W) •>"•■ *•* ««( »- t- 3 ►- — » » i-i 3 <© «- Z «o — 3 II 1- Z _J •^
i-> r-t • • o o — oa- X •-« «-• X UJ UJ Z II X HH t—l V z w »- « •»• H- Z O z z 3 IT X z ^ II • it n 1) • o Q£ O H II -» - < X I >-< OJ a: ^. Su- a: •-I UJ < ►- UJ < »—« *-4 a: < o >- < o • > o «■^ *■> ■~ II • < -^ i- -» K X f- b- h- l- »- to t-4 »-< < ■-• 1- «- X 3 H- X a 1- ►- 3 Q: cc O UJ X o tO II i-l (N CO a. II 1- tu M4 •-4 < UJ w ~. z a uj o: a i- II z — (X o »-• en. o z < 1- Q 1- m QC X r- X *—• — —' "-" X X iS) O T ^» </> ►- I U. U. o o o: O o io •-• O a: o Q: CL o >— O cc UJ z o 3 *— o
z x a a a Q Q X Q >- X X UJ 1- »-• CH ua a a o X «u XÜ. CD Jt u. tO U 3 (X ÜJ tO tO u CT> o m
o o
t-H
o o r-l
o r.j r-4
o l-t
1-1
u i— u. CD
u u tf> u u
IK
O»HrMfr«-*»f>>Of^00O»O<-«CM<n-*«ft>Or^c00»O'^r>4Cr>4,tA4»r^fl0(>O>-ir<jt'>-*if»'O^000*O
fMf>ic<r»i<Mr\jrM«\i<MfNi«M«MiMojr>4iMO«<MP«j * 4- 4- -»
o o • •«.***••*•■ ^o ^^ ^-«~ r^i-«
i- Z D X O X<-<XX-« tUQ. o oc cruj< oa: i-x lUO»-,-,0»-t-uJ<CLI- f>i» tnxaxcK'MUJDaz^ • —
■-•rgmr^mmcorg eo r~~ r»- (\*»»- o* o* — 3i r-t -J >0 O» lit >—
w UJ »
<<<<<<<<<^< <o . «. ^ww — »in
~ r- *********** o "^
in •-• ~ r-QC
uj to — O to _i < < -^UJ a: a x u-OLi—oxt- oo» LU O Z-JQUi«ÜJO lA* — » UJ -«iuos;^XCi.-^-i r-->o
Z cDXO>QOX»-X-«^ —om < *•*•*•**•>•• ,_ 1ft f^
< r^iMmooootowoo m —xQ o: CT>-*<>?M<r <>J o_io • C\ il\ O* r-t vOlOQ
ij >H «« f- ^ •• U www w .w<w w O — U <<<<<<<<<«< _IQ.O < wwwwwwwwwww I/) • in • • — I*-
_l ••••••••••• -~o — i/) o in </> (X ^ •»*.-.«-. ^«. ~ — int>-< • x r^ w H-
oi o (- -J a: —auj -^3 U. vOlJJ < 3 3<I z UJ uj-iauj H- ujuujt-i- o >-XQ:üJO»-> u)3iü.>-t->-40» UUJ<QZ:>QL<XX>-^<»-'<X —
_ie zziri cDüJ>*''-tr-»-<f"-f^f^-f-r"-ff>oo»OOP-
Z< fMh-rsir^f^ t» coiouj 0> (Minr^o <M z z < Vl-I ^wwllJLLlt9 J^j^ <-'<XXlU
UUJ— — — — »■' — *--'—''■»"— — OQO r-irvjro-^in^Jf^coo^-^tMf'i r-«
-t -*•»'♦ •4- rxi oj oi oi (M
3: • t~ X x r- <M » • _i X cc 00 < • 31
—. Hi a I O in cc • X X -* o
•* -* * •» CM r>j «M csi
* 4" •» 4- -* ■»• -* rg (M rsi (M <M m (M
44
< UJ X in
x o
o in r-
x <
w >-• HJ
o m
irt x — < o< m • p. UJ — > X <
z o o -' tu IO Ul z o UJ UJ
« z
<? I
_J u. 4 O
O n
_i u. 4 O
ti. !*% o ~ • -J
_J u. u. o <M O O I • _J
-J u.
o — • *
_l — U. -J Ou. o o w (J a I ac -J i- u. z ^ — o
x co
o o X 4 'v • 3e x UJ o> •-* < • X
UJ 4 3 • X X
r m
x *
O X. X X
r
x
X UJ
< UJ >- N. < _J X Ul yO U. • U x x
Z X x o^ CM •
• iO X X vO u. • X t- m
a ■s. Q. X in
— x o <^ o • rvj r-4 «ox 4) w w H- ÜJ <
-i oc 0C O 3 U.
o o f\J
« -I X < x r- X o • 4 UJ _J • X t- x x o «o in Q • • O
ui x x < r^ m o •> • UJ J X X xr~ O O • X UJ O >o co i/) • X -• x m _j Oi • O • x x
tu o> m H- • • N -« X x in o «^ X rH •X • X (^ _i o »x <-• XX • 4 cj
rH (Vl fO
< LU >- ^ < ►- X Ul ■o tu - u x I h- 4 « •
t- X X 1^ o • UJ t~ X *- X o in Q • O x x • •
H- X x r- O • tu o to iO X — m t— • O x X o m
x
* o X u. X en
X
» o X X
m
X
< UJ X t- X
X
* _J < I— Ui X
o
X a ♦
< X l- © UJ r* X • <n H- • X X X 4 fsj 4 m
Nl X X «o ro • • X X «o r- • • Q: < < Ul UJ I X h-O X X m so • •> X X 4 O» «o r-
ii
o o r-t 1^
M O X
<
x
— o ^ LU fM UJ - 3 ^ D O Z Z Q. —i O •"' X ►- »- »- - z z U. o o o
O X •-• U O vJ
o o O r-l
z o
< ISJ
< Ul —• D »- z -• -' z z o
o
u
156
rsirgfNirg(>ir4c\i(\ir>i<>i<vc4r*if^f\iryjrJ«>l«>jr^r^rsir4r\lrjrgr^r^r^irvirgf>if\jt>irgrj^r\jfgr^r\j(Ni o o
D Z ^ -H — II II
> >
OO • • K •-■ C O II II O O • • O O «- II n h- a ti 11 o o it • v 'f 10 zozaiüi-ii iiioo-ia-z < 11 «-• tu > z _i ^ < 11 x •- <
zw<s>o-*a:a:a:h-<'2 — <~i-x. n 11 a nxxii iit-»-Q.ztooxxuJh-aai- UZX,-,^,-«,-«,-',-,OUQ.Q.(DU>->*-»X
o o
X X * .0 0
X. _l -I t— UJ UJ ■S! O Q » O — a —
a: • ^H * <''! 3 *■•, » ^-^ * ■Z <r X r"i X
X 0 + Q + a 3 a: * —• •
X »-^ *
X V as •-• 3 —< a 31
0 3 0
UJ 3
1 O
UJ a
Q UJ 0 a 3 ^ -U «r^ * ^ * * 1- D -. -~ *~ — 2 •> n"i 4 fM c-i jj * ■1- ■i- + + X < —• ►-4 —• •—< UJ O — — — — a: UJ t—« i^J ^-« -iJ vJ ~x 3 3 3 a T 3 D O #■ O • M < •
,n 3 * r>.
l^ UJ —. — + — + -^
„^ .^ X - O -J +
»—< +
—'
X *-* <
• < —" UJ 3
•—• a
I/) *- IT 1- UJ UJ —t * ^-4 * < ^ uj »M >: > C — O —
UJ x * O •—• O ;M O •-> 0 >- 0 *— * t— a + Q + z < * •-« \S) < #^ —• * — •*• • ■A — < > — <^ -* — a '- h- X 0 •—• 1—t iu ^^ J 0 ►-• Nl _l UJ QC + 3 ^^ a 0 — » 10 X UJ ^-. » —t #< .j X
-J •-« 0. O O •
0 •—« r-1
a 0 l_m^
Q <A — a — < O 0 + a UJ a. X * *-« 1— t»1 0 ^-. * xi 1- 0 _J <-> w _J fVJ Q — a < a i/; •-• X UJ rH •> UJ r-< •» UJ » a — _i Q » «. -> 1 a. —- O B '-0 O —< * •-■ r-i u: —! a UJ Q. O fNJ — — ~- 1 r.< w- • - V O z fNJ >-< ►-< ►—#
2 1 < a < r-4 Q — a ■—
ce ►- *-.■ ■W ^rf m O UJ 0 UJ O — -t < X >- O Q 3 a a u. -J 3 O D -» f— i-H w *~ 0 — —
_J UJ uj x a: *-^ (M > > r- > > h- UJ UJ < x x ac <J u UJ 1—< UJ tX ac tSi Jj Lt U£ Z Zi D JC OOO »-^ 0 D — Z) UJ UJ rH O UJ UJ 1—• z Z »—< 10 co a: L0 -1 Z (M Z D Q Z a a O •-• t-l B-* * UJ »—< 1 1—I O »—« a ►- + t— -J _) _J _J a > h- *—4 1- _i — _J t- »— _) — _i
z - Z _l -J _) -J UJ z w Z -I -I -J z _J OJ _l 0 II 0 < << < >- O u. 0 < • < OO < • < u — u u U VJ (J < u ►1 U (J X u U3 u u X U
rH »—1 r-«
rH 0 0 0 0 O 0 0 r-t !N O —1 r\! r-j f\J t-l rH rH rH i-<
u u u yj u
0*oo^o*t>>{>OCOOOOOOOO>-«»-«<-«'^'^«-«'-«<-«'^'H'Nioj(\jf>4«MrM^r>jrsifMf<%cncnm 0,OvOvOvC>0»(>0000000000000000 0 00000000000000000
en X X * 3 Q X _J _J Q UJ UJ
«k O o X Q — D ^ £5 • •^ » m
r -» * *** • ü) -. .-t X M« X Q (^ + Q *- Q O • —4 • »-i • • X ^ X 3 X
— Q «—1 a O 3 t M • o -xJ 3 UJ + X o 3 • 3 « Ci a 3 *«. 3 ■— LU * * *—t * - 3 -— -^ 1 *•» Q a •—« ^-« ►-« »: o • *- + — i^ — »-« »-^ i-^ UJ • f>J Q w O 3 — + O jj O •-
l-t •-• O 3 3 »- + — * • * r-«
M LU ** —• «^. 1 - D rH >—< pg »-• * 1 1-» 1 ^ o — t—• UJ I-« ID O rH ^ 3 •^ 3 Q + k-« #* ■_> * o z * *-* a ~ Q M rg < • «- o r-» O fNj <n M
O uj o 1 Q 1 o ^< Z Q • •-* • t-4
<n <
o - <
—i • (M UJ (^ UJ r-( 1- 3 s 1 C 1 3 1 3 < ^»
»--i «* »—* A *-4 * X o o o Q: •-« — — w — ■^ — 3 O t- 4 O -x ■-
o « ft »-M iN l-H ro O _J CM en *-• a^ vO O 1 o 1 Q 1 rg UJ cn O ^-« -* »-• < f\J o - o t—< O •—• tn Q r-( O r-« — i- r-t Q - Q ~» Q w r-l Q O O 10 UJ • • LU • UJ • UJ ♦ o *-*. i— • < X '~ o — 3 — 3 »« 3 o t- m f- —. —• H- -I m rg • «\ • 4 * s- M4 oo • UJ • V ♦
Ä <st
rsj 1 — 1 '» 1 -. »--- o • O UJ x ft X «» ^ »- r-l — (\j t-4 m t-4 -t o *-« «3 _l >- » 1 Z -^■ X UJ og • — 1 w 1 » 1 i3 a • »» • * z X • 1 X ♦ o *—4 •—« *-H l—t »-H ►—t — o —« Lu 0> M X a ^s r-i «— *- * •t Q ~ Q «v 3 ^. -» Q • _J (> <-• >-> • —. X • I CL — Q. tM O UJ O UJ O UJ V O • • • M r-l ♦ UJ r-4 "* X to > i-t O 3 Q 3 o 3 • *» ^ « | z ♦ 1 X uJ o *
O — o — »^ o «^ UJ •—« • rfK • 1 O UJ o z X 4 o • • M» * u in r- H > >r- > > r- > > 3 — t- Zi-zin ujr»- x* o *o iH ♦ 4 * • (MUJ + UJ a: o: eg UJ ce at eg UJ a: QC UJ • a UJ _J x _l X CO UJ w <n UJ — • -* en UJ ^- • 0* UJ -~ I r^rD >-« 3 UJ UJ .H 3UJ UJ .-« 3 UJ UJ 3 < 3 » «^ • — fH3 •<r-l3N en • r-l 3 II cn rH 3 •- X
z — Z Q Q Z Q o Z Q Q z o: K z 01 tO Z O « Z 3 >v J Z 3 "v • z — n O-« 1 >- O •—« o 1—4 1—» a to »-• ZCQZCQO-« II -IO-IW) • tl o !-• tO • H « UJ 3 (-!--• *- -J _iK- H- -1 — -1 H- t- 3 — 3 t-Z XI-X<X<h-t-^iOh-»-»- cv *£ h- h- h- rvl i^ y- z><J)
z - Z -1 -J Z -I 4 -J Z -J n _i z w II Z *» •» w -' z a UJ ZUJ H a ZUJ II Q. Z H UJ oou.o<<oo< • < o o < • < OU-ZOU-U-U-U-OOXVOOX^XO ox ^ X O a. v ou -• u u u o u u xu o u u X u u 1—« X u •-• «—« •-• •-«<5UUJ<OUf-XU.IC» u t- X UJ u > <
i-H r-i
o o O o o o o o o c <n >t m <o r- o <M 4 m <o rg rg pg eg f>j ««^ m c*> to cn
158
oooooooooooooooooooooooooooooooooooooooooo
2: <
<
o
<
o
_! <
a 0 1 j
Q. — * r~
lO * _i m — D Q: ^ OC rg x a UJ a < • < D t- X (D f-t _i 1- UJ UJ U) ~ u e? z » * * + + < Q; • * rg r^ — « oa 0 rg •-> 0 _l t- ^ 10 < t—» — ü. cn O 0 >_< < a * * O
* ü. IT» *
• * ■ ~ et
_l O X
UJ X — * * <t 4- ce < -~ -0 gj a u * ü. m 0 + + < h- • 1 iTi UJ z _i — O <N IN rH rH t- ^0 rH LO rH [Q < w — u. • in t- _J 1- -0 K + OJ • * 1— UJ ~ * <-t rH _I X O O X * X 0 0 -~ tO >- — ■-' rw * • x 0 ^ * CD u ~ iA — •—• < t- QC * * O O UJ * * 2; a _i * * in «-« Q
» < O ♦ - Qi —-•
rH
in UJ CD OQ *
• • ox -J K 3
• X dl » aJ
H- uj ca — ■N. -» ~- rH * « v v. 0 0 in r- u. O UJ Z >- UJ •-H -^ •** »-^ — ►-• X X X ^ ~ + >0 KH UJ < • -' « — o: X * Q O "v »V -J ^ 10 in < _J — _i UJ ~ tr 0 rH ♦ (S -1 >- _i O rH + + _) 1- _J >- UJ X < _l r-H V,
< o: CC D — 0 o: 1 x a: x TX <t CO O _J (- z Z XX > u »- £ -r UJ > UJ < < * Q cc * UJ UJ < D 3 z> D m üJ 2: cc O Lu 2 £ 3 D D D< ♦ UJ 3 UJ -~ UJ — D t-^ Z> (Oajao* o>o -H _i t- U) tO kO rH D rg< D rH 3 rH D O l/) 1^ </)»/) 00 • CD in 3 ^ 3 * Z D Z UJ UJ D O O 11 < Z H O O u u M Z II _J i- z (1 l/> 00 II II 11 11 1 rH M 11 Z — Z • 1—* O »-^ * Z H N 03 l/) 1-1 UJ n M ^ — -J O rH UJ O O O --* UJ M II 0 _l h- • f~ LO _J uJ —• r\j ►- UJ h- -i 0 O « r a: 0 ^- > _) j- ,-H t-4 UJ 1- ^- > II 11 1- 1- > _l t- *^ •M X X rH II < UJ i~ 3 1- 11 Z Z -J 2: a ü. < D —' Z <3. X. — ^* > z< rg rg Z < 2 X «> M O O II X h- > z - z in O O < < 11 0_l^üLOi0 1>3_li-<OOto_i ►- O O ^ D 3 _J >- UJ UJ X O UJ < 0 U. O (O u u u 0 O ü. O O ** u 13 l/> --O i-O tOtOOVJOOOOUOiA 'S) lO i/) (K CO 'v^ Ü- CD in u — vj Qi
0 0 £1 0 O 0 0 r- 0 i^ rg vn t m ff* »n IT «n m m •n t-« »H .'■* r-> IHI rH rH
u u u
15<)
^>r>-oo(7>0'H'Mfri-*-(n<oi*-coo>0'-«ivi«o4-iA<or-QOOOiHrvi(»>4'<f>,ö'^<ooOr-i(M<n4-«n>o r*r-f^r^coa>coeo'noo(Ooo<ocoo><>o>^a>o*o^o<><>oooooooooo»-trHr-«»^^^-< OOOOOOOOOOOOOOOOOOOOOOOOr^^ir-t^r^i-«Mr.|r-tr-«i-«i~lf-«»-lHi-i^ r4rgrjf\jr4rM<s<Njr>jrg<>«rgfsiCNjrjr4«Njrgr»i(Nir*j<N»fNj(>irarg<>ic>ir^f>jr\4r»irgrafgr>irgrg«g(>jrg
X O Ji CD * X o
1^ o < 3 t- s: LU X 35 *
*. ^» a ■-•
o <- »-• X to _i * tO tO 0. t- o ^j CL
— X
u •— -» fM * 3 *c X •— ♦ * Q u UJ -~ * « * UJ »- UJ O rv «^ X ^g UJ X ♦ — ■■4 u * >^* — u. * in w ->. < _J ^ #^ X f^ LÜ z «-^ * X f\J o i^ UJ • r) o — o: o * CT> _J O -i N. *-• UJ ÜJ UJ « m PO (T < ♦ -> H* UJ >- 00 O •-* a» •_• N. «I *m «-^ cn »-• < >v D m in 1- to — T iO oo o < m> l- Z o rH l-t rvj ce f- »- oc z in o * u. in X X <7> o« • * -o <f o: I < < i-« -o X 1- <NJ c? ^ in m o * •-<(// r^ o« * 1- h- Q: * r-f • rNl >0 UJ _J ^-« •H o O — * O m m a: i/> »- «*> * *■» • m » ^. 4- ~ a3 a • • * :J x ■♦ •* ^ «n v X oo in l-H 0C (V • — — • « * U) O O r* s: ÜJ >0 » • -• _i * a. in 03 M < ♦ * w ^ * — m x O O • X t- «0 i m nj X —. ÜJ r-t in 3S e>**Q:a:*a:a3* «o <o o 'v fsl • — 0> • i— »-« >- • r-l UJ ÜJ «J _J < < _l< • — f-l ^ o «^ * ♦ to m ♦ a: — < o * >- ~X">~>»->-T»-* -• •— • * »-M -~UJ f- «H UJ —' Hl _l O in < _»OXXl0t0Xt0* ~ t0 Or-I w •-' 3 ÜC • ZJ 1 tu •O 00 ~^ ~) — V X X X »v X «J UJ z o — ÜJ _J ►- - y w fr, X • »^ >- r-« in _i X O _l 1- ♦ * _l ♦ T 3 < ^o — r> o o uj x oo« X r-l
o < a: -^ <-« -J • crxx_ji-x_jx* a: 1-4 « ♦ uj uj < N, IH m m v >- r>~ v to < in ••» U '-UJ OOXXOXWQ: »- — w CK m m o o a ^ *o * m üj i OJ x a LL! O Z üJ z LÜ >- — fMUJüJOCJUJOKDcrUJ — Q£ D ♦ * UJ 3 O ~ mDi- -HD * 3 < ^ D aw -i 3 < D< — Dcpffiujujmiüccx l 3 -• < rH z: x z: z x -J z: • •HX X
ü • Z _l »-Z D o: z cc z -> X Z II II to tO ii x coo o z — »- II 0300X<UJO • X 3 O«-" f^ -* o o »■* o »- «-• ►- »*4 _J -1 K- It tt -J a ua oc H« U h0 Z CC (K CC II M H Q « O O B t0 »-»- ii 1- II II h- 03 CC i- « t- _) t0 _l X X J 1- X _J 11 1! tr »- => X < It N II UJ _l X < H- 11 »-»■- n
Z iO z ^ ■I Z «- z - z-ia-ioooooooo w z — -"orxtotODxuj — IQ: x a: O O CD O -1 >- o ü_ O U- o < O < UJ ÜJ UJ ID UJ UJ X ÖL II.OU.IJ.I-O_I»-2:>-OU. (-»- OH- 1- 19 U Q U O O U ►-« u — u u a »-■ w </> to vo x x u. a •M u N^ IM« IM« ac oc oc x a < — a u 15 « U
o o o m in o f-l N «n * « r- 00 co 00 o» cr> o> o <> lt. m m in in m m m m m
u u
160
<v«v»v(\i»vi\i»vf\j«v<v<\(\.rg«\/*M»Vf\,r\.«\iv.»Si«>j«v»Si^«vrvfs.t'\f\,*\.*v»v«v.r. «\.rg»v»\jrvfvj»N.
o
O
o o
I/) o < D •- X Ui X 00 * • ~~.
or »-• vD — •*>• X i/) _i • in in a t- o »Ni c — I
X •-• w —
CD
•
« *
• o o o m ■♦■
tt fsj IU
or < tn K V (C a i~ o
»- < X »- o «n UJ X cc n N ui
»- X X «t o a UJ ►- 00 X
«n o
> O
O
a a o
o a x
I
c c
o a x
l X o
+
in x UJ at IK «-'*J 3 < D
UJ 7 ^- Z •x O I •-•«/) •- • »- VJ »- X ►- « x - z »-- o ou. o
,"* O U *' SJ
a UJ < Z)
«/> « X t-
.-4 •
— a UJ UJ UJ v
< • • et X t- • <M
^» * M at en — « * X o * UJ Ui J >- -1 -> «« _) O x — -)- V J X O _J -j • a: x UJ — UJ o
•-4 Ul >- »• isj Ui ■ D -*. — 3 «D »- X -> K X ■ Z •- -J _i •- ►- J «n J X a z-j a -i o a o< O < UJ
* —
«r rvi <C
^ ITS —
- ♦ — a * a « _J < >--)♦- «r x in X >» x ♦ »- * _iX »- x O x C UJ o Ul CD UJ X • *0 •i t- N -JX ♦- oo o UJ UJ UJ X */) */)
CD
-J B X * O *> UJ <\j cc •
♦- ♦ X * O _J UJ -) e x
-i e CD VO •- X « u.
• o -J i CD X »- V
• — ^ — to UJ
• * • er -J z> ->» x C
■ » o s: X D U ft
• * sn a X X u u
-I -J o o u u tr (Sj x • • • -" XI* D D • » « -J • • -> w o x a S « ft ft a
c S X *
m * ♦ «A • K -J u -> ■ x X ■ a o u
_»o o o Ul -J «o < N. N.. — tO tO ft ft ft ft * w in t- co ft »-< O • 1/5 — * * X -J ft o u. UJ • *n
• u ■ ■
UIUJ 3 I?
_' ft
Nl —
— X — UJ X »- _J Kl lO • a - c — a - • UJ
r>. UJ
• S — c • M
UJ UJ 0 3 1 X tt x
a O to * ■*•
<0 «0 •
UJ o
C C x U. U -N u w O * ♦ D sax 3 r x ft ft M N B _J
«^ «r 1
r- (T
or-
c • ►- I
O to o ►-
a. •w O
• c o o UJ _J
- x — u.
ft ft ft •• «
— « ? • ^• UJ o OnO < ¥- ¥- — I u »- O — ft o
IT
O O o ^
o m
u
itil
* 4- -♦ * * ^ 4- -* V •» •♦ 4 4 * it •» 4 4 4" •* 4 4 4 -» 4 4 4: ^r (M04(>j(M(M(MiM0iirgr\jrMojoic«rMri4(MojcMiM(ViiMr«iCMr«iM<MrM
4 4 4 4 4 oj «M oj
< ~ a
44444444 <M(M(M(MO|04(Mrg
4
*
Ui Q_l < I VH-
t- * QC -' * -• m — rHD (M «N • UJ
* O LliX 3 a: s: v
os: 3K Z ii X_l II < t- >- XUJ l-X a i-
Q: * —
UJ UJ Z> "s, UJ UJ O 0 I 1 a:
UJ UJ
i2 X * n • < « K- _l UJ UJ X u. »- u
o UJ X
a 3
* o X u. * o
— z — ♦ UJ in
^ « U) • O * X * a o: N. O -I H- -ii Ul i^ *
»~o X * * * rg (»Mj H cou I- •< UJ H H U. _J _l U XI
+ 3 oe. .x
o
o a: Q:
* in (0
O LU X
iT.
0 • 11 * -I * 1 a.
o
Ui UJ UJ UJ
z * < O tr 3 H X <-* X ~ II 14. I- -« X
© X m * • _l
rg x * * — u « u o< O H Oi- »n x
oo N ►-• t~ 10 x - — Ct 03
lO • |
UJ • _l»-« • —
I Z X < II a _J t- x •- < w ui u. >- « <
< x ♦ O — 'O >« V. ~ o *> — ~ OC * r* o <o ••■* '-* « f« O •!■ + tO t- -i -) w O i~ t- O _,i t- OC O u! i/) to o I\J ^ + u o — • — ~ I rg ►-• r« »H • - • II I
^i r^ • rg -') -> — UJ M — — I • _J -> _l H.
X UJ • (/) s/) UJ II _) ift — — 3 »- • U W ■ II Z x ►_ * — -.« < « « ^ -> -> K UJ z V U. U. O _J K o < »-• « Q (/) I/) VJ
in
»fl w
-' -* ir> r-l r-( f». I I •
~) -t * ■ *
_l I- LO t0 10 CD I i -J ~ — tO -»-) I — -^ • -i y~ •-* W) »/> w
• I I oc rg . ^00 H -> "> U U)
"> «- •* N. I • • _l H- • • O O O I/) «/) r-t rH IIN 4^ N n
-IK >o • w _j a. i/)t0O»Hi0i/)i/)</) •-•«II CO CD CD CO II<O-J»-t0H> Q.a<Cii/)i/)u.i/)
>o • m
• m
Cn r-l <o • rt ON
\n ** as — i- <
u. u.
_J _J <
_l <
to CO
to
I/? Si < X
UI (M X *
X o l/!
z o z UI X
• Q UJ oc UJ
z 3 O
o z UJ
z O to « < I- X < -J UJ 3 3 U _l -J < < > u
UJ UJ > X -> t— t—
< z o ►-. UJ
z T K < o>
-' X to <o in to «n • K- <? OtO ~ X • rH
«o —« — K UJ UJ < K K X UI «a: x a o < x u. a:
to to
X X a. a. + + _j »- tO 10 CO CO t0 lO
— U.U. • * ♦
o«
rH I I I 33
** »^ X X a a. i i
* *
o» tO
— 03
X3 UI UJ >- >- << I i
»- 3 -)
10
<
vO f- CO CO !*> <*> <o <o «o
• Q UJ X 3 «/) t0 N < H-
•H 10 iO ■ CD < < »O 3t < U. rg
O» en
3! X UJ UI >- >- < < I I
UJ UJ «• w w at x < < UJ UJ UJ 3 >. >. n « z « < -j i- -< ii n tOlO I- _J H-
II OI I aa u a Q.
o 4 <6
162
OOOOOOOOOO^»-i»-«»H^^^ii-i^«<M<\ir1(<MfM0ifgr. <Mrgcf»fHf<^crim<nfn(nfnft\4-4-
^fg«>jrjrgr»jc>/{Ni(>jcaPa«Nl«>irgr*iMc^(>jAi<N^carMCJCjfMi><r^r^rarvir^rjr>irs»r^r^r^(\i<>j<>i<>i
r4r4rgc4<>i(><NrgrsjrgriiC4r4rgrMr4rgr4<>ir>l(>l^Ni>irilNf^oj(>j(>ir4r4ct4(>jr>ir\icsirsif>4r\4rsioj
fo cn
0 o if» «f» t*» ci nl (Nl • • v. "s. ^ ^ *» *» Ci o *» — o o »-••-• m if« «- -» eg f\j X 3e -^ 'v UJ UJ > >- < < _ >- II _i >- at a -m >— iii UJ 1 X >- >- a a < < + + l i _» ►- _i t- » J« » 3C < < < < UJ UJ UJ UJ
o
o oo
< *
UJ -J D I Z I)
z o o o u o o >f
< < < * * _J H- X X H II o o
I- o u. co UJ ^)
O CK »H UJ 11 - D ^ "v a z
o o <o UJ rl O
Z ►-* O O '^
I- W *S) X T. >- t- H I-»- o-'-'HH-za: z Cl-JK- -Jt-U-Ol-OO OOOII-iU'-'OU
z UJ
UJ u. X u. »- UJ
o o u z •-• z z o < 1- t- u
O oc u. a: x o z o Ü. -« _•
V u.
z •- O Q Z -■ Z UJ >- < _J < 3 -I I- H D z Q: U üJ D _l « H- < "-• \j ** a
U. Z UJ u. < X u H- o a
u < to z ui a: *-• H- UJ x UJ u. < _i ^ _i
üx o a: »- u »- o & t- -• < oe X UJ o t- X ÜL
to UJ D O UJ cc
UJ X
— / UJ
z <
> o co to < K
z UJ >-< I o ►-OL
iD K Z D ►-. O z >-• K < Z ►- •-• 03 ÜC o a
o o CO
— UJ - < ~- — UJ
_ „ 2; _»l c. -~ — ~ O 33_Jt- O-JH-uJ • <<xx a x ac ui ~ lUUJOC3i—~»<<-<OiO -~ «">J >>_UJUJ_J»- — (iiaj<XK — -»-J i <<(IlCDUJUJfMUJUJ «U.U--lt— T-" — • • * • U. ix. I •••—•••XXXZ — lOtOtOJluU—•t0t0rsl>> • • »XuJ _lh-_J»- • • — _l»-| <<^JuJ> •< »3c>cxiOto-«a:at->i/)^o> > si >o <<3 0-J»-O<<—C3t0<<_Ji0uJ >->-uJUJUJujO(Da3ujxx^to->zs <<CQCQU.Ü.auJUJUJXÜ It-XXO • •••(j^J ••••-1 ••XX • • ♦ • , < • • ^^v^~-~^^:i<: » *c v ■ ^ ^ ^
oooo ooo^oo — 000 aaaaooaaa—Q.Q.ooa.aa xxxxaaxxxoxxaaxxx
«/) ••••xx»»»a.»»xx»»» »_ •• x ».
O M, « « »- cEQiaor — — Q:cca:>->a:a: — —0:0:0: z <<<<Q:QC<<< — <<Q:a:<<<
ac totototo»->-ioi/)</)<i/)to>—t-tototo a xxxxio^xxxt-xxio^5<xx
• •• • x X • ••v/)»«XX» •• ^o: — ••« x ••• OO oj<Nf>J(>J—• — (MiNrg •<Mfs(—.—ojrgrvi I^U. I I I I CM rvi I 1 1 ~ 1 | (M rg I I I ,-t >X|_<I-|>-I| j « »^ _ fvj _ _ j I ^« ^_ _ • o «„« 1 «« miu Q:oca:Q:>- — ocarQ:"-Q:a:~ — oitrct WQ <<<<a:a:<<<—<<aro:<<< r-uj ►-►-»-►-<<K>-i-a:H-h-<<t-t-t~ r-iUJ i/)t0t0t0»-'»-i/)i/)t0<</)tOl-H-i0tOt0 •Z XXXX^iOXXKKXXintOXXX
,H —-' KX-— — tO XX oz aao-a. — —aaaxaa aaa r-O ocoiQcoiCLa.acocQi'^acoca.u.oca.o: i-»«-» h-K I— I— QCClth->-i~a*— I— QJOil— H-H- -~K zzzz(->-zzzae:zz»-»-zzz Q.«t 1—«MH^-^^-^ZZ,,,-,►^l-'^■-'-,^"«ZZ>-,l—«•-•
UJCtJUJU.U.U.U.'-'-iULlLU.ZU.U--' — U.U.U. 3 LÜ O D M N M M U. UL M « B — « IIU.U.N II n zi-a.z»-i-i->-ttii>-(-h-u.i-KMH »- -•zo: — ji-zzt-t-z_j»-iizzH-i~»-i-z I- — UJ»-»»«-«_lh--'üCQiX^ — zzzzo Z — I-Z<<-J»-UJUJQ<<K-Ot0—-'J—Ul Ou.zo>-vooü.u.oooa)zxx-ji-">zx U««(j<<CQCD«JUQUJUJUJU.U.IXXXO
o •-• o o
UUUUUUUU«J u
1 iVA
OK»» ^•ift<0l*-(5>OOi-<(N!r>4,iA>Ofs-00OO.-<<Mt'>«*'»n>Or-00OO«H<M<n-4-<Av0f*-00OOt-lf>l
«>I(M «>|racijr^f>jpgf>jr^(>jrsj(\jrgf>jr>|(\irsir^f^f\irai>lMf>4r<lry|rsjr>irjr*ir>irjc^c»i(NirNir>ic>j(Ni<Ni
z _l t- '3 ijj UJ UJ u. u. X u o o * » * h- *- t- _J (- r h- t- i—t o o UJ -> a H- a o r>l • •> * i- t-
»- o o Z <S) CO
J w LU «-^ «# ~v0 « I — X Q£CL — Q£ _»►-•- X—^ UJ <0-JH-000 <i<»*.-.uJ_lt-~H- OQ-t-t-LOifla: — -^»-i ••-••-■VXKO N — UJ»00'-«'-' •OiOUJliJfM^^^tOO^ «QC
OfMCSOOOf^Q:o:t->-'-«H-3 — xxxrMM « -•-< • |**<k»|«»*«>>^*»(\j***|» 3J _J (— t—
to—• io^)'^io>-«>>i/)toio — —ii/)in>-.> »- ooz a:—_J^OO — <<_i»-<rs4f\j—_jf--^~< • ••-< OXh-l-OliT;— ^lOf-t-K-ll— XXOX^J t- ^-K-^ iij_ioo->'-'CCO^LuuJUJ-<-«3:ocjauja; z zzac ZiooQ_j»-OQ:Q:xxi>'~ujioiiJXt-t- -■ « — o: OCL o300Q:Q:Q:>~(-i-3üj>-xxxiNjt>i o: -IH-* • O ••••••••». •h-3<«»-»»«. O XIi-
-»r^ ^« — —,»»-»—.^.^»^.—.»••.^.^H»»—.—. 3J «eZ
.^»«.•^~»>-.« —»-—.-, — ^^^-j^w — w.»,—. i— -JKO O^OOOOOOOOOO OOOOO Z Q£ a a a~-acLCLacLQ.Q.aaQ.oooaQ.a.a.Q. « < < x. xo xxxxxxxxxxaaaxxxxx o coaa» •a ••••••• »••xxx»*»»» o üJLüt—
— X •—"*'- — — ->•-» — •••ä.-»«.»^. -«— Q »»Z -< «•_-<.*.-.t-i1-.^_. ■_■_•—..~.~,™,_.-<.-.~. > > • t— H- >-• O
Q£I-I a:a:Q:a:Q£Q:oiQ:Qca: — -''-'a:Q:a:QtQi xxo -J»-« x •-4
<—<<<<<<<<<<Q:a:a:<<<<< sza ->zu. • KÜi *-»-l— l-t-h->-»-»-K<<<f-»~l-t-t- •»UJ xx» o i/x i/)»/)v/)i/)iOL0ioiy)i/)u)i—t-i—»/)</>i/)t/)i/') QL a 3 • • K ■* X»- XXXXXXXXXXiO(/5iOXXXXX «^ »«•«-«• »-»-z f^ • io •»••••»«»»xxx»»»»» o »»_i -j t- «^ H —x ■"> »»» —^«^-.— r^ irt 3:3CJ • CM»fM«\i(MfMfM(M(Nfsirgfvj— -""—■ojrvjfvjfNioj r^ i^^Q. <<>; "• O l<->llilllllll<MrsjrM|l||l • a. J-Vü. — O -O
w.|w — ~.~.~^ «1-!«—.www«. 04 Q-Q.^ ••^H--* O >-« □:•-• ocaocceQiacKQicsia: — ac tx. ae. oe. oc r- xx^ t-n-zt-« •-• — <—<<<<<<<<<<a:Q:a:<<<<< •-« ••— JKOUJM • — Küi »-»-»-►-f-t-f-t-t-t-<<<H-K-t->-t- • XXO XXZJXrH o ^
XH- XXXXXXXXXXi^(/)i/)XXXXX <N l/)f-X UJaJX^O t*- O ^ifl — «.«- — — w — ^-^^xxx^^- — — »'•h- XlU xx»t-<-< -* Q- aXQLCLa.a.aacLQ.aa — aaao. o.'-t^ — ••— ••!»_!_ • x a—Qjococüfacaaacaaaa.aocQccKafK'f— o xxo t~^zt->* o i ►-a s-H-t-»-h->-(-f-H-»-(xaa:»"h-^-^-KH-« o —«•©•zz—'uj^ «^ — za z z z z z z z z z r »-t-»-z z z z z z o* M Q-Q. * X-«»-'a: X O P* -• •-i^—•^►-•►-•►-«•-«»-(•-•■^«-II^ZZZ"^'"«»^»-«-'Ol "O Jj'Oh-J^ ^H~X ""^ "^ U.Zii. U-U-U-U-U-U-U-U-U.« "-►^U.ii.U.li.U.O'-t-l • «llJCDcD »ZOONI •■-' O'-'UJQ: «•-i« N H It H n It II • HU.U.U.H H M H •UZ3«O»-«3»->-«OUJCQC0 »I l11k.D< t-U. »-t- »->-*-t-K>-l-l-K MHK-f-KKHIlDZ— »ZBH—X»»»-«^»- Ü-^ZK a:« _J»-OOZZZ_IH.ZH-UJXJ»-ZZZK'0-'UJh-«OOUi •OOZO<'-<a l—W) o_j>-»-u)i^»-«'-t>-«»-H-i/)Z(3i-xxo-«,-,zu(-KZH-aa »-ia.a.^üjx + UJV:K-X uj«/)OO'-,,-'QiO>/)UiUJa0'-iOzoc33ujQ:D — z•-•^Z•-'<^=<^-•^<so^:a:^^-"Z^ J:a QQ_iH-oaa:xxxxujujujujxt-H-ou.oacoo*ot-ürztot-xoo M ZU.OU. O0. ooc5Oa:Q:0£^-^-^-^-^»xxxMNlu•-'U»uuxuJxuJXllJ^-*u-^-•>-, «^•-
r-l (M CO •* lA rg o O O o M O tn r- ^- 4- r- •-< t-i ^) •-•
U
164
00eO00e0a0e000O^O>a>0»ai0>0«0»0»0>OOCOOOOOOOi-lr-4»^«-«^41-«r-«r-lr-«rH'>4fS|{>J<\l<\J
^>i^v|r>J^4f4(^J{^J<^|rgf^J^f^fgr^JNrJ^^^(^lrlJ^^f^Jf^^^4^gf^|pgf^JCJ^JpJf^^r^J^^^g^a<^|(\|^|f^J<^|r^J
isl
3: at UJ 1— U. U. * U U
*•*» * * ** J »- •^ h- t- »-• O O c: O Q 0 3 O cc •M «
•• O O *-* 10 (/) l-m •■^ *-« _i ^ -J ►- < t—• O O > Q * * ac O _J 1- «n UJ Q X I >o h- * * • t" z
<t «•«, _l 1- rH —• 0 »-4
»-< < < I/) -1 U.
t- ÜJ 00 CO OC 00 < D uj uj a: 0 -1 * m m m -t Q O .•• -1 O • Z a 1-4 T z o: r-1 UI (X «-> X X fK O ÜJ X * * * * O H- K fM _l — _| ►- to r-l U. z >f l^ -• 3 3E X — UJ •-> 0 to r- a — < < u. — _l
<f UJ <-< 0 ": tu uj • Ü OC r- u * a UJ >- > 0 0 ~- 1- O r-« -1 0 * >- < < X t- 0 0 < u. * < in .*••» < • • u. < 0 a
in > r^ ^ • _J >- • »- rH X tO UJ O f^ *». ^- X X O UJ •> 1 UJ > f~ H- » 0 -« O O D X O x >- < t-i Z 0 a - ui UJ 2: »- O 0 ►- i/) * UJ m X UJ X X X • h- ♦ —
O OC • f- UI • • • _1 rH • h- Q ■* at. r-t rH -~ *** -• _J »- a: < * rg Z _i K Z r» D + — 0 0 < X X t- h- O + < 3t S _l 1- J 1- < t-> u t- • 0 0 • G 3 rsi Ul <o -> 3 < < X X (X. OC —• Z 0^ eg 4" — U! U) • X c* <-« 3 UJUJOO _l»-<<3tO (- h- ^- D 1 0 >o -' CD 3Q '- t- r-l <w >->-UJUJujuJa3coxx D LÜ Z D aj O H- (jj • • UJ • w * » j—# •. 0 »» ujQ:_juj<<a3cou.u.uJujULU. O 3-« O ^U Z D «O I-«3<OUJ — '~ — n: 11 a. 3 < -J 3 II II 11 II U W II II U II
z a: Z M D Z •w M Z- < ^, « to < l-^ZI-<ZlOlOlOi/)M Ml/)lO>> t- -•Q. »— •-< 1- O «—« UJ l—>-iüJO — — <0 rH Z 1 — <A >-« _J»-_ll-tOi/).J»-<< Z t- — i:! f-ZUH-t-ZKt-UJXXKUJ ■>- 1-^ ^i-xuii-33:xx_j»-Q:a:toto ** Z — •-• Z D - Z I-* D Z — J: -• < tu 2 ^ a — Z — >Z<<3OUJUJ<<3t0 OC 0 u. a OOU.OQJOOO'OlOt-XO II au.ou.<o>-vujuJu.u.cDaDxx a U M a U U •"" U S U U 3 • x ui (- • i«; ►-• •^4 U^lOU<<a3cQUUUIUJü.U.
r-i IM m ■* in m O rg O 0 m «*\ •* 4 m •0 <o 1- r~ r~ f- r- f»
OC < _l
_J 01- x ui o
i- _i xa 11 x -> 00
11 x z 11 II LÜ ui 11 x to lO to > > > 11 a; -J t- < < 1/) > o I- •- tO ifl _l tO UJ o -I h- T Z XQ X X X X 03
O a 3 H
O O 3
U U U
16i
r\ir4NNrvim(*tm(^mm(nrtmfn<?.«'4>^*4''t'<*'4''4,,niA<niniftintninii\«<><o<o<0'0'a<o
rstrsir4r4r4r>4r\|ogf\i)>joir\irsirtiNrijrvrsi(>i<\i(>irv(>i(V<>i(>i(>ioir-r<ir>j(>ir\joi(>ir>ir«(>4(M(>|(><
X 10 "**
_l < ^o UJ ♦- a Ui UJ at: *
x o "• 2: a. — a a < t- z * — r-< * • m m * «^ 0 -H ». ^. *» M, •~ O »n w
^i r- r- r^ ao in •s- X ^ «n w «> f~ «^ *
r>j r* rg — X —. «v 0 UJ >- t-H
00 10 in
ri n 11 i/> v/) > o o< I/) i-O m
_ii-a: OOQ:
< < (/j Ui LU ail o: t- >-
11 11 11 > 10 1/) < _i 1- 1/) 1— ►- ^ UJ u air o: H- 1-
_i 1- X X o o UJ UJ X X II II
_l t- X X o o UJ UJ X X
o rxr z. t- X Nl II II > > 10 < O 1/) Da 2: >- X rj
UJ *
II
X
a UJ a a: D U u o
10 <n z z < < oc at I- H X I — ^ O fM o •
o >o I O UJ •> rH ^ Z> vO —
Z w ►- z o •-> LU < a I- H- K S D
z -• a H- o o a o uj o u 3 u. cc
o o o o O r*
lA •-• •»»
~ o -« >- a uj a: — x •-« < o • o o en >- • -~ o UJ—iOiOS — OQ aDxa:x>-oin • • ••»•inr- —
«noroenxo — r-< t^ r- r» _i o O — ■-< r~ o 1/» Q uj ui
— -na • 2; < Q O — O • <-« <<<<<ao*'~ ^, w»- — » ^n „ <-( < « h- •-< -H
• m 10 — u. ~ r-<aO o ui — »- »> u.
— O -J < KuJ'-» 00 x «o <l^-.
ÜUJr-i O OUJ l-h-^tt-» UtOrH UJ OXUJtO»«-»-« UJ — UJflQlQOI5X~»- — CiuJ<tJ«**»» O D
Z>.Z — -"^Zinz » «OUJininr^r-r^or~o~ J-V_J r-ieooooo»--««-!-!,-! DZ< ON4-O>l0UJl0rH
-•oo> moz<z~' oas-" ujioujto
QUJCD23— — ~ XUJXcO ZCD300<<<<<«-<Z-.x UJ lOUUJ»''^ OOQl-
U. 03
en • O
r- • in r*
11 11 z « < _J •- x Q 3 < UJ CC OJ
r-« — II 2
—I h- H- II X — O "* UJ — CD »-
— UJ — — to •-I < r-< i-l — < «. O " " •-< »- X UJ "-••-• — UJ
X o a o: 1 O < 1- 0£ I- M Ml/)'» -» X f-« t-4 II —
10 O O a 11 o 0 ~ 11 Q. r-« -. 11 " iH .-. ^) w w .« (/) r-t uj o a: »-i ao — s: o o - 1 01 o o o: x >~
166
^o^-so(^o^^^^f,^■*>A^^-coo>o-*<^J<*^■*■in^)^-oo!>o•^t^^(«>4■^f»4>^-oo<y■• D-^INC»^ ^•or^-
r-tUi W l--#
LU < D « II -~
o<
UJ I/) < <
— O t~
■— f-t -~ J" r-l r-l X ~0 y-
— _j — — Q a: -~ a: iO UJ rg o o <N < a uj — Ci oe — (_ O •- OJ I I cO i/;a-~ — <<•«-«•< X I r-i M I O rvj f\» i—
— tMSUJ'Mjr.ii-iX CM — »-^«OQirf- — K I I UJ — O O — ct-i^ — ujiOQo:*
f-Q. <+*♦ + m o: L0O3UJ — —-jiai-« • UJ XQ.»-3*^-t++i-!
i-t t- r-l ww — — CD—-»** —
oc *• CDOQlOtn — UJ t) uj »eg +♦•»» + '-*£ Qa;x »-••n '~-~ — — — oooi— t-lOO'-' ^Hl-Hr-lr-tUJIIOQill
rH^-t wwww<—.1(11 — ON,XO irixQ.t-3ii»-« — — « OX •0'-<# II M « II ^«w raQi-ii-H I X~ — — —— O' i/)
ii ii ~4to-«'-«-«>-> — ujQa:oo oxxoii II— — ujsrooi CiOa30a3ajxaH-D<ocia:(-
X X X • o Q —. o
a: * * <n * u X K •• X > Q n X 3 < _l _i a _! • UJ uj * UJ
a: Q Q V 3 •— Q Q o 3 rsl «■ * _< • * j-k «■» UJ IT*.
(£ 4- .^ 3 ■-I
Z3 + + 3 + X •—1 •—• at ►-*
O *_r -— —^ «■»
x O 3 OJ 3 A o O + O
a: Q o •—■ 3 < * * <^ • o —. -^ a _ -U CO OJ o «—■
X + ■t- 3 — o ~i -^ * 3 • •^ ■u- .M O 1 d 3 r-l
< O O + * J O ^v -^ —^ aJ * • ■ ^H
5' » — 3 1 •~ O fNJ rH O ►-.
i * + + 3 — < -* »-■ k-« m 3
— O •-• — — • O bT UJ ~- Q o o 3 < Z o O o » • O O UJ a 3 — —
~ UJ • l-L * * •-I rg 3: s: i O — 1 1 LU O t- «• *-* M O —• >- •• NJ in + JJ — ■M
< tO • < •-• a rsj 3 O • (— —. 15 o o ■-t O o ~ rg ~. aJ m Q o • 3 3 1-4 * ^« X UJ (■■j O • O • • a. o > r-l i-j -~ »n ~ M.
Q. »-^ * •> •-^ ♦ * l-i !M <\j en • — 3 -* h- o -^ 1 r-H 1 1
-~Q. U »—< < (M *-H »-4 * »—• *-••>- — > rg »- — o ^ w
rH — X < a N^ ■-< Q 3 ■* 3 3 ^H (— — — — o: • O O <M O O • — < < X UJ o o Q f-l 3 3 ^ _j o a D Q r-( w o — O ^» — o — II _J UJ IU >" <M > r^ > r- > r- >
UJ « < z: 5: a: < UJ i-t UJ oc fNJ LUD: f^j -U iu cr r^ UJ a: D 3B o o o t— 3 •<• 3 LU r-l 3UJ r-l 3 O 3 LU r-l 3 -U z O ►-• i/) CO cc _l Z (NJ Z 3 ZQ Z r-t z a *— 3 —4 o -•-. UJ —< 1 »-4 o ^H O —• 1 —4 o •—i
r- 0«\J -I _J _l -j Q: Q h- i—< K _l t- t- _l (— 1— —• »- -I t~ »— _J z II _J _I _l _J o z — Z _J Z -1 Z — z -J z _J o 15 O < < < < 1—4 o U. o < o o< o o U- o < o o < u Z Q U U U u to u •-• u u o uu e) u IX V.' u o u 'O
.-< o o o o o o o o o r-l (N tn 4- m r-i
1-4
(NJ ft
fM r-i
rsi r-i
IN i-i r-i
u
167
rgoir\jr4r^r4r4(>l<>iNNNr4r4ry|i>iNr>i(Ni<^rgf>irsir4(>i^^if>j(>j(siry(>i(>iNtNriJNr\IN(>iN
rvioic\4r4NrMr4r>if>ir>tr4NC>iNr4r4i>ic4rvi^NCiirvir><r4i>jr4NivryfrNiNr4riifvi(>J(>JC>iri|Cij(>i
X Q * X Q _J UJ a
o < *
<
o
<
t—1 0 UJ
3 i: 0 0 *^ Q 4« (— * «M ce — f—• <
CM «« -~a3 1 0 a _l ÜJ
►-• rg IS) » oc * — <n cc u < fVJ
G O »H UI a CO • O r«J »— X UJ --i Q «O O UJ UI ♦ — • rH t— 5: * • *
— ■— < cc fM*
n O
OOO OI-^O ^. 1 a:
< 0 •—• * '-
«—• rg rg rf\ •-< »^ a 0 * — — Tl m 0 »-< ~ -' Q * — u. O rH ■-« C3 •-« -~ l^ < UJ X « 0 O X O O >-• a> ce U • — u. a OQ O- •- • — X ^v z _l »■• u. * m i- -J ►- m tO V*. *** t- _1 < ^ «-^ O CM f^ — U) OO • ao • ^ * -« cO H- UJ — u. • tn
■* OQ O • O Ul X r* X — i/. H- m >- a ♦ ^-« »H | OQ O -» H J i Z — X Ul fNJ •-■ < O (M ♦ • »—• * • -^ • * 2 - X • 1 I ♦ Q • a: * * (\J *- — .» —. IÜ O '— x a. N. r-l — •- ♦ 3 \ * ~ in Q ^« • _i a» -~ • — X • 1 a — a l- UJ r~ ^ •-« r-«
O 0 • • • •-* * UJ f» z x m > Z > -» »-. •-• »-^ *- • Q • Q f-« <-> 1 z ♦ 1 X U4 0 * UI < »- -" w w ft rH
O — LÜ O • ~ • l O t-t 0 z X .* O • — » U m _J a: — Q a O m r- > -IQ (- Z (- z tf> w r- X * & -O rH* J" * • < IT < Q 0 0 a ^t fMUJ OC UJ • v. Ul _J X -J X CMU UI «n ui — • r-i O UJ — • OS Ui — 1 UJ > < OQ * Q ct ♦ --> Ui <-<^ Ul 3 «• D • «- • w f-( 3 • < fH o 11 (f) • r-l 3 II fO r-l n - I D h-4 03 ui a: n * O r-l u
z 0 ZQ: — r U) SI 2 O II Z _J >. 1 Z J -^ • z — 11 Z 3 U) • 3 —» O H 1 Z 0« N-* Q. — »—• Z 03 Z CQ O -^ 11 -1 0 •—t 10 • II O M« fcO • II »—1 O -1 MH O -IX >-. 11 cß O •-• t- 1- -J »- Z X >- X < X < 1- t- *i IS) *- ►- »- (M ^ ►- ►- i- r<4 ^ 1- <A 1- UJ _l Oi O w. x a: z •- rn
Z -1 z — M z «,«.■_ w Z a ui Z uJ II Q. z uj 11 a. z tt Ui Z -i < a: u. < D — Z 1: 0 0 < OU,ZOU.Ü. U.U. OO X > O O X ^XOOIWXOQ.>-0 < CO 11 O _J K U. O O ou u w -• X u •-« 1—t «-^ »-^ a u UJ < 0 U f- XUJOUH-XUJU><U u Ul O U. O O >-• i_; z
0 0 0 O O 0 0 0 rH
<o r- 0 tM >t m 0 r- tn fNJ CvJ t^ tn m <n to <n r-t
r-« r-t f-l r-4 1-« r-t r-l rH
u u u
168
4'inAu>tninin«ntntn«n«««<o«4«4>4><or~r>r^f>-r>-r-r>»r>-r<>r^(nao3>a>eo<»»a}co(not
X O
X o
i^ a Q. J: O UJ
I a »- » • •
-*. «-« o« .n OJO »—i rg ^M
X — — w
UJ
X!
» * *
X U. o ^ z
■— 1-) a *-* a ~flD ^ UJ K- a o -j
xa to LO m _j a X aJ < D LJ Z Z < a a: > -I 1- o o < * » * • OO _i ••-« •-^ «^ ^^. ^^ ^^ + + < K- Q CO c^ in rg (\i OJ > -h •—• < r-* ^ n -J H- »-• uJ O QC tD CJ 1- o Cl_ z • * ♦ X UJ >- o a ~ • • *• 3 IE i— J U o w •^— -— —
<t -t -~ —■ UJ «. u <-( < < < < + + ~ *« m -i * -J <f «_ ^ ^ ^^ — *-^ t-i 0-* »-• -' • < 1-4 < * <
•-• 1— _l f- ■»^ X •-• ^^ _J _i •-t • • *■ • _J X o o X * _J H- 1— 1/) * X o -^ -■* ♦ CO X — _l »—1 Q. ^. ^. « ^» ^» O uJ * * x a: O Z < z • o aJ (O • • < D UJ -< _ „ CE o 00 * <n n _l 1- 03 X »- V vO L^ LL ♦ — X N. o e> ~ co ^ z LO ~ •-I I rfT «cT _J -• X X X — ~ -J h- ♦-• •-^ o -. U t-4 UJ O r—* ^ *-< »—« UJ X ♦ Q O v» •s. X X _J t— r-« •> X LU t— u — aJ < a o > * OD + + _J K- o o X X o o o Q UJ < ■u. < u «t •>> * * X IX o CD o _J t- X X IE UJ UJ o o >o x *m, * z _1 "v z « „, ^^ ^^ < D vO UJ T oc O UJ X X D U Ui X a: uj ID CD uj UJ UJ UJ • 1-1 •v m *-• CD 3 UJ rH OD rM r^
-J K 1-1 D < D (NJ D ID D i/) CO 13 < D 3 II N D 03 CO OO" 'S. + _l »- u N, ■«s _J rH fv/ f-l
O O 2 -J i- z lO Wl II II z -J K- Z •-• —4 z II II z — t- in UJ z < -) i Z z < il M o •—• ooo <-• II II -J H- •-f o o •-« -J t- •— _J h- •-• UJ < • • a *-* r> «r o o > _J »- i— *- pg H H t- 1- •^ -J h- X X 1- II II t- X X ♦- X X H- h- X (M l-t 3 1- c^ u X X 3: x Z. H fNi IN z H Z X o o z 1-4 •H z o o z o o z «-• oc <-» It 1- Q Z D X X J3 —■ W* ^, — 3 3 0 00_/l-000D3iiJUJ0 -J 1- O UJ UJ O UJ UJ o a: o LU X UJ z D o o O < < <T < v^ lO O U zooauzto^cnmu O O U CD CD U CD QD yj 3 U. * Q a: UJ ID u u UJ
.-) W .—i rw ri <f fM r<> o o o o o *- m m vO o o »-« 1-1 Ü. ^» H 1-1 rg CO tn o
o OD 1—•
u VJ (ft u
l(j!>
0»C7>O0><7>0>0>0»OOOOOOOOOOO'^«^'H'^'^»-«»^»-««^'^«MIMr^rM<VfM<Mri<r4<venc»l
rgrvjrgrgrsirgrsirjrsitNirs:.. jrj{V(Nirs»eNiPgr\»f\joi(\jrviPgr>jfjfsiNr>if^f^r>jrsic^r^(Nj^ O^ ^ ^ C^ ^* ^ O ^ ^ O^ O* ^o^O^O^^O^^O^ 0^0*^0*0*0^0^0* O* 0*(^0*0*0*0*(^-0*0*0*0*0*0'
r*lNr^rarsir4r^r4rsirir4r*trsir*iN^rsir*ir\|r>j(MCMN<>Jr*ir*ti\ir4r*tr>ic\4Nr4CNjNr\t(Nirgr*j(>iri|
-I
>
z X
•» < a * X I UJ yj I— < «* • 0 a. X _i cc UJ
> (NJ u. » r\j z ►- •> -* M oi
— (M (N «~ u a rg LU O. * — r\( « 1—« r*j -~ • * >- _i s: ♦ ü. * UJ z * a u ♦ < iO ai _i 5: rH >- 0 * 2: ►- _J eg * Q.
^t »- UJ UJ rg < I/) ^. LU Z UJ * u. I-« V _i - > ►- 1-4 '-> — * X h- 0 > * z -1 U.
—• • K- ♦ ♦ *-4 (NJ » t- ►-i U * I/) * X Ü. * z -~ at m • * O cc UJ < • • m u (- ^ —1
JO 0 • >o -I ♦ O 0 > •^ -O t- • < U) 0 Q. lU <*\ I/) + ^H UJ _l O iS) < U • rl -1 + u * Q. >0 U. * z • ♦ a 1- z UJ 0 * ~» -• o> r- < a. 1—< u — * z u. Z O I S: 'H z > m ir> 1— z ■* ^ - s: z z z 0 Q. Z 3 rg u Lü >- 3 * o* <\t z 0 v ~ l/) UJ O •-■ 0 r- »- « t- • < ^ -s. H- m m rr\ UJ 10 _i ^ i~ 0 1- W7 a u * 10 a
O UJ * * Ü. O UJ • 1 UJ 0) m UJ Z UJ V.UJ Ü. O X UJ s * VUJ * UJ X < 0 UJ a. O Q r-« D • • Z <f Q r> 1 -• 3 • r*J D O D -J > Z in 0 3 f- • -J D r- 3 u i- «0 D 11 a. Z >- z 0* 0 •-• z zx uj z II Z tO Z UJ — -< M Z < OUJ Z • Z < »^ »- Z U. II «- O — •♦ O 0- O •—« •-« 11 >■ 1—• ^ O « •—1 > n a O _J M O > — 11 »-* II 0 »-4 Z -J 38 »- 1- II O II t— s h- — < H- —1 »- t- _J K- 1; Q. II 1— u. 1- _) O 11 h- u l— Z _J 1- h- -• m
z _J>O 0 z UJ — z z Z -J z z s: 0 Z -I *0 X z z z I -1 z a a. O O ÜJ H IO OVU.OOOO< 0 O Ul X O 0 < II UO »^ 0 u < 0 000 0 L> > i cc e? u <t •-• U */) 0 u u u < t- a: 0 U U X < u 0 u < u 0 u a. a.
0 0 l-< (M f^ 0 0 0 0 r-l rvj CM rg rg n ■4- m gj
uu u u u u u
170
fM«'i-»ift>or-a>(7>o-«r*j<«>'*iA>ot*-ooa»o«-«'M<T»^<n>cr-ajoO'Hr«*t*>-»invor~tooi»0'-«iMO (timmmt^nmrt-t-f-t-t-f* •t-t4t't>f\it\u\it\ix\<t\a\ie\ie\it\-o •o«o^)-o>o^>^o>o<»r~r~r~-r-
r4r4rg^r4^r^rgr4ryir4r4NNf>ir4r>i(>ir4r4rgrsjr\jc>it>t^ir>ir>ir4<>if>i(>irsjr4rsj(>ir>j(VP>jrijr>jrii X X
a
z • •-• (M Q. ^ O fNi a. *
-i -I i/iUJ
u-a > z ■* * a. -ia K m a. wio. 2:
o UJ a O ■-• oo D M a. a
z u. ii u o — za a. I- H- .-• UL u.
z a z z o O O '^ *** o u a a o
o r-
CL a
Z Z UJ
a o z H —• U. I- z z
« « o a o u
o oo
z
>- _l
-«a i- u >^ -J oo x _ia. • UJX
U. >^) Z I - -• a> x a. «co OX» a -s-u. • N^Z -I >V« iO uiO Q. tOX o < -t 0. u » • X
u. X ao Z «n • « »u. 3 &Z • <« —
u. »a >. z XV — a: -* x a o • »n • u. x •
a. co (M 2 tO • r-l JJ Z U. UJ »- oz o»
•> >^ •-• • X I-*- X • •-• X ^
o -*■ V Z » v O x UJ u <r o
• 3 -IV»- <a —
U- UJ
u. ac z -1 -J *-i KJ UJ
x a a > m » * *
*-» «—^ ^^ ■-«»
iTl ao m i-«
r-» r-t f\J CO
a: o
< ~
a: -> f- x
• _J -~
x u < *
UJ >
to a UJ
z <
<
< < < <
OH- U. 3 U. Ü. UJ UJ UJ z a v o: — 3 < x o l-
4- !>- »H (> ^i rg pg
a:
X. O
o txj >. o
o — wo — V -I < < < < < w «www • <
UJ I- < a —x >■ Zi- »- «z Z XUI ~ (OX O fM CO (N • • o OX vO X 00 » r-« •
>o ~-I i — t- u UJ << •- XX — ax cc o ■* at UL •
o rg o
< X oo * X
* u. z
o a x *
eg
to a
OS
v; UJ z u a o UJ u o UJ^
z -I
I- V oz oo
u. a X O UJ oa x z a: D o .u to u
u t- u. CQ »-•
o o
w UJ < < u • v z - O UJ r-t V, _l z < o > X - X o - o o < U UJ —
u. _l UJ vo a a. a x -i
O O I UJ x a. a >
-O O -4 (SI -^ rg rg to
< < < < rg to ■♦ m
O n to < UJ no
3 UJ 5- «f * -J ;/) a o a. * u. UJ a: 3
3 O UJ X o
isj
UJ
UJ —
X */) o o • UJ
UJ X y-O ^g « • to
_i I- t0 r>| a « O _i a v/) • a
UJ o UJQ. >- • < X
• ac 3 O '3 — UJ tO X • o -■:
lil ^g 0
X * • -J
o ~> D X X * X _J • ^J -J > -5 * a x O D a. 5: • o x a
ui a -
UJ cc
< o to *
a: m O ^g LLI • • >-
■3
3 O
>- X < o
-J <
< < oo UJ UJ X X oo tO tO
-1 -J -J _l < <
X ♦ o — VJ u. U UJ < QC
m
o
3 u V <
_J _1 .J
< <
I i a:
II _J O UJ X >
O iu
a <
X
< * • a II
IT X
<
o u u
171
r>r>i^r>r*-r>-aooo0a9eocoao<Da>9oo«»o«o>o«ok(>O'OO>oooooooooO'H'4r4^^
0«0i9i0kOO<7'O9>9«OO0^(^0>9>OO(^Ch^0'9>Ch0^9><T'C7>9>9>0>O0k(^9>l^^^^9*(?k
*-*4***-t*-*-*-**-#*4***4**4*<t**<t***4*4-*<t***4** r4r4(>iriin<ri|f>iN(>irvir>jr4rNir>ir>ioiriir<«(>l<>i(NI<>irNi(^N(>ir<4ryriir<iN<>4r4r4(>i(y|(>ir<l<>i<>|c^
Ui •
•
3 <
z
o -« X u X u ■33 X < X «» r-t
o < X i-t * o m * u ■♦• —. * X X • a. * -1 m < •H UJ u. * *
* o «^ oc Ui u. H- tr * >v O CC UI • »- tO <» a s. X at U.
•~ fsl o o QCUL X m UJ -i • al — X — UJ oc 2 (X. UJ a: X -J < ►-a: * < ♦
> D o x O Q: O h- «-« 2 * X • • + ooc CC X <
u. o UI o • i/j a: D • o« •-« z a: o 3 rH * * < u. «k X urn # UJ X - j j t— UJ X o> a. a: X X ♦ oo • a: •O * • •j o • <r\ UJuJ _i -J • X
X LÜ * _l <«% (N X X a: u K- tn * X -I tO «\ * >•. >v D Of • m z o tO a • * oo < • u. t— I «t a H- * — X X t- ►- UI » u 3E H tO * O Uu u. • u. u. cc u. >. < O lO Q. ~ X * 4i -j UI UI X UI u. * UJ a. • — U. O O o: a: ^ X ac UJ X 3 UI X • I O ♦ D 3 — ^ <n <n Sli. »>o I ac u a o o i£ • XOXX UJUJ»» < u t- * •t - < UJ UJ — • a ui a < D XX UJUJ«-<^I_J»- > • • X ^ fM _J * X X tO UI X UJ _l o X *♦ >-v^«nu.u. < J O «o u. • >- a — O O O O UI >- ui ♦ xinin^<<oouJUJ • u. » • UJ X u ~i 3 • • UJ UI * < ><NJ — j- 4- co I I in m ac a 1- UJ UI .J 01 o a: ID UJ 3 UJ X X a • v m v. 'O'Omxx^P'Jll u, o: >- • * * > > (- l- o O o a: — « _i • • • V,>v* * UlUu < u. X X X * < M isl * • «i uJur-3** rvj* * _i_» OCKJ » UJ aJ m (>
H- * • • v/3 i/) tO >- X • ui «« * 23XX X • U. a: cc * «• lO -J -I _l ►- O * <r < + x (XüC* — f^UIUJ-V'«* • H- UI X X _i ►- UJ _l 1^ tO t0 rg IAJ X • o • ♦ t3 0~Q:tn>->oeJ -io: a: x r- * • >-(r/ a a Q. • x * a + ^ _l ««-,i3fn<<uu-n- u. » UI o • u. a. <a h- •- K- _J O _J 1- • ~ UJ (/) </>••-•• | I VJ u u. u. UJ < >- • X UJ UI • ^. oO J) {/) 'S) » •Si fs|t-i>»>vv.oi0* _JI-<<UJüJ OCX x 4- cr o:
u. u. Q. a a. a -j UJ • — — * _I_IO—* tror^ vaa: X < • o • X • z z * ♦ •> »- to >- a^ocKxxoi-QisXtfvinD^ij. u. » • >- r-l t~ -t ÜJ a « u. 2 LU ^ a. < O U.X D ♦ * (nQ:o<<-**i-»-z z O •* U. • • OJ Z »-a UJ uj ui a >- * UJ UJ < X 00 + 0«>>-«04i<i« ** _l l-X <MUi O U. • ►■•
i/>* ct >- >- • to j» xaoouuii.iOto<< • «JJOO U. U- H- CC X UJ x u. Q.U. 3 < < I Q. UI O -I + a UUUJI 1 ♦♦UJUIV "N UJ UJ -* CC O X CC o u ~z »- ««>«»«>•« > —■ u • * << cc • •****>>_l 1- a ae ox • fM O • X za. -^ l-< < < cc < i-ooi^«*)* ♦ Or^^ji-ora« ♦ aaaorxo •_! • < X "-< Ot- _J h- tOO O O D »», — o: cc * — .0 Oiina — — ti.ü.OO«0<ODDUJX* * O-i-ü. oi- r- -i U 00 _j CO UlUJ UJ u x a: oi < ui >o* eo m co cc i I UJ ui — •-< vo vo < <>.* ^■•#vOf\jüJXX * •» <a <uJ>-xxs:ce:o<cQNjvOO • <*»r-t — xxQ:cct^^o•(»^- H- < ^ (V f>J • -J cc •-> eo o x
• Hu a >- <o o o o —• CD UI D CO • II • • o II 11 X X 11 11 • • 11 )l H «VJ • • »o cc o *» * X ^H OiO_J -•< » to m io a: l/)UJ •X •'-tu. II II r-« _l »- II II _l K N H _J K- U. • M II *» X • t- X -t • ii i/) n _i » -J 11 >- UI _I»-OQ:Q:_JI-U.U._IK-U. U. UJ N * 4- UI -O < -t CJ _J ^-ja _IUJ to -I -J _l J a: j a j _j II a u.Lu055:u.uLUJUiQia:uJUJa:-»r«jf^!--t(-X • • • a_Ji-_nuiij_i-j_i_iiu_j<jeooujuj_j<<uJüja:a:33a:o;Lü(v-jH--'rgo CE _I u. ><<i>i<>->-<<<< V < £0<ujxa:a:Qi<>->-Q:Q:D3<<u.u.>-OQiQ:a:ooo • x UJ LUUO- U < <U VJ u u < u UJ u x u. a xx>-«f<oo»-i-i-H-uu<xxxxxou.u.^)Q:
r-t r-« .-i -I (\J o o o
CM en
172
in>or>a>oOf-«.^rrt4'<A<4>roa>o«0'-4r4cri4'in<or^<s(hOr^c>i(«>4'in<cr>-oo«0'-«<sg(ri4'in>o ,^,4r4*4r4(MrM(M04(>Jojoi(Mrv'Vcnct(nf<i(n(rk(n(<<«(*)c«t*<*4-'*'*'-i''*-t'<*'#tnintnintAinin
rxfMpgrii(Moij>**M<McM«MfM (MNrMrMrMrsioiNfMNMOioiriliMiMoirarMrMdjiMtvoioiNrtirMOirsi m ao
O
T
*
u.
r
z o in
o Q o r o
a. UJ
o Q 3 r o
X >. X r- u. ^ • UJ v o a: ■*
vO ^v u Ui • lii m o> t0 o> o ■V • <0 >- <o rg
o z
o
O
z O
— o O UJ a uj oc a. UJ LO
K. UJ Q
U < >-• UJ z a: O h- to I/) * X UJ t- UJ z a Ui u.
t- z z — UI < z o
Q — UJ CO UJ — a < i/) _i
Q — Z O < ^ <\i U) * > * < u • UJ ~ to o
(\J ~- * *-
NO lA (Ni OJ t *
m • rH -• • OJ
O ^J- UJ rg -o * in • ■ «o
«o ^i ^« (^ * f\j
<o • UJ • O <o O f> DO o • Ci O ft AJ t- r-t * * • o
>o V * o UJ — r- -^ r- O CO
031 O
a) O
O o C5
X
i ^g Z »- r-i Q: x UI 3 vO f^- ►-
•> — UJ x m a m >o
z UJ z
QO Z to
U K-
CO
(- UJ 3 Z o - CD D SO t0 Qi
Z o LO
z o lO z UJ r.
z — UJ a
V I-« •> OJ ui •»-■ • rH • ^ o» o ii • n • «-» x ►* •-< • i/)
-^ • «O * ^ O 10 II >o UJ >— a* rvj v<: •-• UJ j- •-« •-• •
u •mc^— •• — 0">>'->r- • i- «h-o
X"S— »(NJ»-!^ • • tOUJDO »Zh- OUJ_
Qico>- •VOO^I^DXX UJ^<«OUJlO »K" a —ui*— «zo uj<<fn>o<OüJii-
z<< •oo<inu.o •-•OQin>-iQiHi-«(j>
— ^ U ^-4 ^-» »^
— uj Z < V O _J < to
u u u o o o
X i-l i-l »H tH Z II II D n N H H
Zww to 0<<<<<<<W U_I-J_I_I_IJ_J^
in
— O _J • ill M
> • • in
< u. • > z -< aJ -. 0. r\i _j • « CD • X r-i < >o » •• t— UJ
•* z o X •
tO (r\ •J "* o • < ixl o • -o UJ fM X • J V- *■
X II t r- UJ
UJ * • a
>- D _j ~ tn a -J UJ »-• • _J < > -• • < > • >- ri
I H- »— • t- X iSl oc • z Z) ui OC C\i UJ > o •
< u - z X » » --< < < u. ~ • UJ 5 Z rH ^ a: a »-i —
.— »- I 1— ^ rH » to m t,') h- <-< r-l (M a io • <** UJ X - o •-« < X UI ir. z U "I -I h- oc. • o < — * z u. r<i u • • X UJ x •-« < ~ ^. h- — m ui i/ »- CO -< Z o >o * u vO — — UJ o • UJ -1 1- •-# r-« O ll Q UJ to OD «O X z z o < OUJ • 1-1 >- U.i —• C U
o >~ 4" D «O - Q. D Z ^ M <
II N Z ^ h- -1 z z o D to - — <J o - Ul < < •-^ a: u o z eo »-« y- t- *- X X K- 3 o < a: UJ < — Z Z — oc t— z »- Z H- CD X ^~ < o o o a o z O UJ UJ tO D — < -J vO o U TR U. UJ V.J cr
u tO O O
o c o o 1— fNJ m o ■* u.
u u
r^a>o»0'-«(Mrrt-4'in<oi>-a>oO'^oi(<t4-m<or^(Oo«o-«rM(rt4'in«r«oo(>0'4oj<<><^in<or>- «nm iA<o<o«o<o<o>o<4><o<o«or>-h-r>r>r>r>r>'roi«>r^co<oaDa>aoooa>(Oco<99>o^^^o(>(ho
Nrsir4<><r^rsiro^r4ra<>ir4r«icg^ictir«c4r4car\iNr4(Ni^c4i>tr\iri<rijrNirii<>ic>irsi(>iNr<i(>irtirii
•A o
aa
o
* LÜ
<
>/>
UJ
I/)
•
o o
ifl »A
o
ir\
oo a -• UJ
X
< • V z
• o —
(M • < ^ Z r-tf-t 0£ 'H I • • • » \J
^-l(NJ (J f^ < VO u • — — o u -• I ■-1 • < • •
it r» — o • o
a: o o • m
<<^ i-o < • Q-i
a ~
a: •
z « o« u • 3^ — _J — CO — ">. _l z - O X <
o<
— o ♦ «M r\i • * O * <\» _J • UJ o >^ ♦ — m • * r-l I l I Z
M I >- U lO < UJ ~. >- u. < -
41
lA -^
* * Z X u < +
CM * * Z I
<
r-
* lA
* *
* Z X
< * rg
in a •s. u.
UJ z
z a. — 11 1- o Z K o m u a
a.
OUJ z m Z) -•
Z Q. O- II ►- h- o
Z h- o o m o u a
o rg
• o o o -o
lA +
<NJ * z X u
a:
* — • O AJ UJ w
o ♦ - m -— o -l 1- 00 to a N u. • z o - t- a. m 1
< a o 1-
>. 1- m f\j ma * u» — * >- + Z < _J X — »n U < QL < O ^ * LU U.
UJ • 2: Z 3 vO O -• z • m a « O a *~ ** ^ •-* z a: _i 1- O <N < 01 u a: u a
o to
*
o o <« I o r-t OH tvj a: *
—• • O AJ UJ — X - o ♦ • **
t- in LO a >- ■«> rvl U. • Z
H- a m 1 a o • 1— ^ in m a UJ —
~ >- + ~ < _j • — m
rH < Q. » O N.
O ÜJ u. -HZ Z o: o -- CM m a a n * _l AJ • _l (-
t\i < m — u a.
z a. »~ in a. •
1
* z X u <
lA +
z .-• a. * >>. •
— m
• *
I l- o m ^ a. a 11 AJ IL. a: z * a. • K
AJ LO — a
o lA * O
o — 4-
AJ -» in
m • UJ rg >- I < Z >. X •-I u I- < m — 1- u. M —
m o u <
ac o
z I u <
UJ u
r j « N K — Z rH O - U _J
o 4-
u o
OD O < «o
II M O QC »- Aj en «0 0£ OO -I _J _» u o
N n
»A * * a a: o u ♦ o a.
UJ OUJ -J D • D UJ Z •-• Z > « M -• M I- a t- Q. Z ST Z -I O O O UJ U L' u >
u UJ Q
m o z
o ir
o
z or 3 I- Q t- UJ z < a: uj
u
CO
in z Ui Q
<n u
< m »- O I z o I— « < _)
UJ ui z m -« z I- UJ D m O QC UJ 03 > Z)< m m
« u
174
cootO'-4(M(rt.*'in<or>~coQ«o>-4f>4(*)'*trv<or,,-aoo«OiHoji*)4'trt>oi*-aootO'^rgm4'in<or-4>Ct
'0*r»-r~f^r^-r-f«-r--f-r-r^»*-^r~r-r-r,»r~r*r»-f,-f«-f«'h-f»r»h»r,"f*r,»r-r,-^r*r-^f-r-f,»f*r«'
4•■»•»4■•♦4•-*•!t■*4■<■4•■*■•♦*4•♦'♦•»*4•4■4■*••■♦4■«r■•■•♦^■-*4■4•■#■«■•«•4•♦-♦4••»
lO o; UJ i— UJ X
o z <
O \f) oz>
tu oo — Q rs» x 's! O H- + »- • O »-* o >- • r^ o m r-
X f- Oi- -o p* r* <•* r*
u. _J O LU vO o < ^ z r~ 4^ t*~ 0\ • • • •
— o « «o «■< en m f^ X o -1 • z «n * U. \C cc < o <n 4- r- o> o • o M o z <o • A * * o — h- <S) ►- o< w * • • O tNJ •» »O o o < oc z rH X V 4- m <0 00 r-l t-l r-4 r-i ^ o u ÜJ UJ h- ^4 -t CO r-t
• h- IH4 »- «0 h- — * vO *^ (M ^^ ^^ —* «^ <-^ ««k |
r^ * o UJ -» o o u> o c> * o 1 OOOOOO UJ w * z z o a • I/) • • fNJ • m oiu • •••••m Oo >n H- o « tr\ o O LU vO 00 rA oo • r«- oooooo<oo«o -< in üJ o o o o o • UJ O _) >0 fM o • OOf-OOOOOOO • «ooo • • h- >o • o • a h- o o O f- * o o • OmOOOOOOOfM^fO^Ooo^O — •* r-< oo OüJ O * O LU vO II f-H tNJ O CO 0000r-0»-4^rgrgm I oooooo I O _J •- -* 3a ¥- »- UJ a> o m O »-i r~ #•* o- • W4,nj<0'-<ff\4n<M i-4 »{nrg • LO O It ii z a: DC _l K 1 3 (^ -i -~ r-» • 1 II f» iH 1 1 1 S 1 1 II <£ «H || o
►- o i-* UJ O UJ < 15 N 1- «O O ^sl 1 oo Nl it OfsIfMisJ^isiMII CM _) LU f- LU »- > a ^» •-• ■x. ^^ »- 'W a II n 1 . Ollllt- Q II -JO> > Zh- II z II £ »- II •■H It J! CO < Ci < m < < o< O < O UJ o O U. _J UJ u. Ou-zamajou. ü.ii.u.üLU.5:ctcDa30 3£ct CD u iO O cO U i^ — u M VJ « < IM 3 >~4 ►-• N O i—< •- o tsj a ^►-.««.««^.f-^rg^^^-^Kj
o o o O r-t (NJ fO «* inoh-coa»©--! rg o o o o rH fH <-« o t» « o
■* 4- •* «-( u u u u u u u
I i)
r>4rsir^fg(Nr^c>»(>jrN4<\jrsir\jf\(pg(Nic4rg(>lf>j*vir>jr^r^r>i<>4rg«>jr4r^c4Mrarvirjr^rsi<>irsir^ojf>j
CO (M 4- «O 00 O (M J- •-i CM <M f^ CSJ O Cl «^
* tg -* vO oo o IN j-
rg m m fM nj rri tn cr»
• o ri m m r- O« ri m CM rg (si m <M CM tn m
rH ^ ,*. **, ~, *~. *~. ~. ~. ^| m OJ --I 1 O OOOOOOO O UJ UJ UJ UJ • • •«•••• co \t\ in O O in Ol- in o 4- m o m in o m o oooooooomnor* fM >o • nj <0 • <o O • rH o • o -o o • O o • OOOOOOO<0O • r^ oo • o o w o • 0 0 4- o • ao O o o • ooa» o • • o OO o OOOOOOOO •0 04 -to vO • o «o o <o • O f- O 00 • O oo o o c O O O Org O OOO OOOOOOOOO »oo OO r* O O rsi O -H ^H O •* O fNJ oj o vo o r- o o r-t or- l O 9« O O Or~'-«OOinc<%OooOO'-i • m rg ** • <f\ ( •> o • m CM (M • (^1 fNJ l- • (o rj f>J • »o r- o»-''-<-*<-<^''Mini-i o«
»-4 II ^ fvj u CM m ii (^1 00 Ii •* r-t ii in m 1 O 1 1 1 1 1 1 1 » & o O N O H o ll o II o It O IN! •-^^-»^J^>I^J^J^J^4^J II
ii i- Q M II »- O Ii U h~ Q II 11 1— o ll IS i— Q n n 1- — ^w OHM £0 < CD < co < cr < CD < II It CO <
cao 2: a: CD coo 5: CX CO CD o S oc en CD O 5. cc ID CO o s a: 03 CO o li. u-u-u-u-u-u-u-SQCtua) ao ►- c» M ao »- c? M a o t- O tvj a a ►— o M a o i— O isi Q. O -< ••* rJ^««_>-,w^,f_^3|SJQL
cr, -t m s0 i- O oo O'-'nin^invOi^ >-< ^-i ■-< rH i-i O
o CM
•H mni(NjrMnj<*4<MfM
17G
rH ra to
-O <0 O (V •*■
«1 en -t •» 4"
• * « • • >0 ® O eg ■t PO «o -t .t * • * * • •
r-t if» r- ^ ^< in O rg eg ro (»i to o tn <n (^ ^" o •* O OOOO J 1 i ilia
UJ — ■ UJ "ÜJ UJ UJ UJ UJ co o o o o o o m m •4" (M o*
o^ • • • • m o f-» >o • OvO Oi-* OfHtnoo^'AOf'-in lA «A • *0 O O O O >0 • >« fvj o m • r-4 m »m min«o >o »eo <or-»ov %o <C O O-t oooo »o^o o <<> o 4 .-i <0(M04 »o r-« o f^ • -* o IM • o o in •
O «OOf-OOOOOOOOOOO • O ■* O O •OOi-iO •00'-äOOOO<fOOOOC»400 OO »OOOOOOOvOOrr) • OOOOm^OO^Or^OO^OoO^'OOO^ »OO^Om Ot^OOOOfMvOI^O»HOOOOO>00«riOOvOOOtAO<00000»MOO^)CiMOOKOfr> ^- rg o f^ J-^-lr^rHrrirvlO* ■♦«onii-tr^ -*<o rgrg*^ mm-ti-« >o to -* r-t r^rvj^-t-t
II rH • 1 1 1 1 4- • ii 1 r-tail II «-< * K -> • Hi-«« II ^9 O II O Nl M N) M 11 O .>l II O II O II O II OH O H •- a n ii t . II II Q •- — 11 II Q 1- O II II i- O 11 II »- Q II II 1- Q 11 II l-
CD < CD < CD <tn< CD< CO < CD« CD o s. oc caca ou.u.u.iJLSmmiKOu.xcD.DaoxiaDaiO^atDcoozacD'DOzoitQcDO1- o »- o Ni a ^5M««w^-ls|Q.OO>-«H-^g0LOO^-^^f'JQ.O^-l^'vlaOl-l0^sJü. di-ONjaoi-
w ^ o <-t rsj <n -»■ m vo r~ co a o rg eg co m f*"* m fO t<> o to to c"» 4
cn4'>n>or-co(>0'^csi(n^in<or>-oooOf-irMm^in<or-ooo>Or-4oim''>n<or>(oo«o>HrMm (Moir^rgrtiojojmort tntncf»<nc«\m<*»<*»-*-* -♦-*■-» -3- ~* <|- •4-<4'iniAtft>niAinintoininyO<o<i<o tSflOtDootocoooooaocoaocooocococoaOGOcoÄcocococöoOflOcoaodaaDaDCOfiOcotoaoaoocoto rsiNr>tr4<Nj<>i(viNrjc\i<vi(>i(>ir\irsir4r4i\if>iry|ci4rgc4rvinJ(>i(^Nr^<>4r4N<siNNC4C4rkiN
r*r*r4Nrvc4C4r\ir4C4N™r*itvriirtiri4r4r^rwrsjrg<Nir4r>iftj<>irtiCNr4NrgiMNr4r4r4r4rHcr\irg
isl * •o r-l
I OJ vO
m o* •a
•
+
*
o 1
Ul
O -4 in • (M OO og OOrfN • OflO OO o
o»»-» tt -* •
a ii u
OCiXi CC
■»0 4" •O
O OO O sn • o m o 4 -i
O B t-
O £
a »
UJ
o a a CM
O-* o o o OO o o^ o <«> <o 4-
o II ii t-
co aa O M a. o
<o <*» • o OO m • CD o «-)
H II
Q cn <
o I
UJ o
o o • -t o 00 O fO oa> ooo O-H <^ • II II
CO GO M a.
• o o O (M o* •* fM
o I—
o o
in o I
UJ
f*- o ^ rH • r- OO « O O in • oa» OOO
O r-l II m •
< o: to cG O M Q.
in
• o o o o o m
o II
to o 3: O I-
r-l a •-< • o o oo • o OO
O H <0
O M < a CD
4" 4" 4
o o • o ♦
CO tNl I
fsl
♦
< on
ooo m o + ■* O CO (^ 4- s: • i—
o II H- II
a o i-
o o o
00 \0
00 -a-
o o
o I
UJ in 4 <-t
X
* 4
o o m 4
O o in
— o OD O NJ 4 I 4
< oc
OO o + am
o
o O o o h- fl I
M
UJ H- 3 Q- 51 O
» s: •
o o o o f-
z <
o o o o a« z
111 UJ DUJ Z 3
It I- 11 — H
tS) z: u.
o o o 4
UJ Z CD O U INl
o o 4 4
U
o <~* n» O o- t in uj <r\ vO • in
o tsl O * m
IM • I i
UJ
4 * co —. GO O in o 4 1 f) UJ f-t en ^ <o • r-«
I in I-«
M rg * in r- -O CM in I •
UJ + o
O ♦ in «o — 00 r-t i-t r-1
* ! .H UJ • o
w r-( II
— m _» — <0 <N O II <o UJ z:
o "-i •-• s: »o o UJ ui • IH 3:
pH fM
• CO
•3-
CO
* UJ
UJ i—
Cu
o
o o o a r-
I U.' — om rg r-t vO I rH UJ O 4- CM m 4- O • !M
tn o I 4
O
z. < X
O m a: out UJ •» z> K
z < O -• UJ i- i- o:
z o o o O U rs|
c o m 4
* CO C^l I NJ
UJ ♦ o-> 4 »M m CM in i o UJ co o -i >o • <0
t-t O» w ^ <■• I-l
— 00 — • fl +
ts)
178
^iA<or~a>o»Oi-«rg(n-*iA»o^«oo»0'^'>»',»'*>f><0'>-oooO'^fMcn^tn^>»^ao^o«-*fN«m^-in <o,<}<O4)^)<or>-r*-r«h-r,-r''>^^^^co<x>aocoaoao0oo<o<DO>o>o>ot9kO>o>OkO*(^OOOOOC aoooflOootOÄ<o«o<0<8®co«>«)eo«ocooo<oco(OcooooO(Ooo©coo(jco<OoOcoaotoeoCiO»(^Oi^o
i UJ (> oo •* o o O •
^« 1
•
h- o
rvl CO 10 o ♦ CM •t z •
^ ■to o O <f UJ'O <J * r-l -* a: a* —
1 r-« <o 3 • i0 eo O D UJ UJ 0» »- CO — UJ <ö < < 30 r-i m • < rg QC fO (K iA a isi ■* o> CO QC >v O 3 00 O rg <o ft fO ^ >t Q l3-~ rgmto-*-*-* <-t & (M !U _i Z tO •# ^ ßOQOQOOX — «vr-lO'-» CJQQQOOQ U fN» O» * a O O t/> <n SO CJX£X*XXXU CD a — z o oaaaaaaaua (M rg s Xro-tUJOXeo XUUUUUUW* 0.0 — O a.lMrslr^l^4lSlM^gQLr^l 4- >0 UJ UJ>-<I^«<-Q:O>-O U **♦♦*♦ *ln — XUJtOO ^♦♦♦♦♦«♦fvj« >ö in (- UJ • Q. • + P- ♦ eviiMfMtn-i'-^inQ (JUJKIDO •rgfvjrgmw^initirg • « II LU JE u. <y* o en in ooaoaaaox O — O Q U Q Q Q Q QO Q Q VJ U in tn DU*O^>U Mh-oxxxrxrxsu u >JII_IUJ • + +aaaaaaaQ.aa + + -1 Z »- X eg »- ll I ^ 1 UUUUUUUU II u * 0< t0»-*>O»Oislrs|rs|fsl!S(isJMMMiS(
o '«UH-O O — m U il B it II Jl M H H O ♦ pg • n 4- 3 CD rsj NJ ti H n ii n tt n ii ii is x y Q. UJ tt iX ac • iir>j<*\4-in'öf>-aoo>rHuuQZ<-<_jQ.N4 A u (v<<\4tr\-or*-co&cvrr\ •—1 ZXIIUI ZOH^)OQOOOQQQQQll ii II _JX_iX U QUQQQQQQQQUU
(S/MUJOO awos: n xxxxxxxxxxrgro(MüOUj<o -DaaaaaQ.aa.aü.a.a ♦ * 3EUU»-i^VJUUJUauUUV-'UUUUUUUUQa.t-UUr>JrvlMfslfsltsiMMiMMtsJrJM
o O m o o rH
<!• -♦ u u u u
179
riii>i«>j*yriiCMrxi>jr>4r>jr<j>jr>i»>i<vi«MfMMr>irsifM<Mr<f^«MdjfMpj CMiMrgnirgfMfMegcMfMfMcMCM ««, in • ui (t\ ■» ^ »-
d 0 + ♦ a in r^ ^> ISI «nx m * r- tu in Q -t •- 0 2: • * »o u -H O O * 1 1 O • UJ (M
e«^ (O sO • -w ^* —* tx r-a + >» in as X 0 • —. O O UJ ^t rH
I-« <n a a h- I"-- rH 1 O *~ rsj (Vl ♦ O X
—. 21 ^J- — Ol * * OOO UJ -~ fNJ U — Q PW O »n tNi ~ O • >- —». a * O 2: O Q. O O rsi rg rg ♦ O a o 2: u s: !M X X o in CA + 00 < «si a. u >v ^ \j * O iJ Q. O <> Ui a: * rsj * O tNJ ♦ O «0 * * isi X ^3 ■O f> 0 eg — <V< O Q —• -» CM O Q • • ♦ U ^X » * Q ■v O _l X Q O O _J X m 00 tn ^ 4- UJ ^ rg x: QQ. O <J X 2.0. u VJ <- — 0 0 0 t- 00 m u + M r-J ♦ U U ^sl M * >v ^ X O • * oo 4 * <n* *~(\j*>s* * • • • U _J 1 (N» <TV r-.
• O • -*■ rg t*> O «n O • (O CM fH ^-t * U fV O 4" C^l
fNJ ZrgQQOaoOrg U ~ 1 ♦ • rsl a I • • w 0 — -z 1 s:tNia_i — 1 ^ r^g I X aJ rH T>
"S ^»»IJ^VJ* ISJO>. VJ • 4- r- UJ t^ + — • O'^Q* • * rg • a. r-t 0 0 N. ^ 1- <t 's
M. «-. r* 0»-«CJZOf>J •*■-• Ni + a a • Q * r- O -* • • + -11 OUQ. — f>tM + ♦ ~ isl r«J ^ a ■* >o 0 ~ -*
O O rg -» O'^-i'v'M^.—U — oa 0 * ♦ 1 M «o 00 _| -^ vO fH fH OO rgcMUO — ."M"^*© 0 u a -o (^1 — * rH in u m 0 •^ w 5.0. + OrslCl.>^Qrg^a O* fsiQoooor-giM rH • o o <J N ^■2:*Mr>j+QCiivj -J • * X X »—• 0. X IM rg * X 00 oo v. * OUU*Q— is:* Uf^O^UUOrsiurg »m UJ CM
-1 -1 O «^ X * 1 Q 1 04 — U CO rg + O * * S * * • 1 CM t- 0 * < < — oo utM^-* mrjQN.o * • X • • 'J -*■ • O in rH t O m ♦ ♦ ~ _J 2: ^00 »oxxur CM f\j u 4 r» ■s o -t ma m X (^ O <o • «O Q U oa S(MSUUQ.U u -^ -^ — — O X - 1 X ^ u. rH vO »o
«o >oa u -' O-NIO + U* * M — + rg->>->.v.ou>«.'-<xJo O 0 X 0 + + ivl fsj -^ ISI* v.-.\Q{M* v. uu • • • _l w • a. 1— fv. O «. 0 UJ * CO *-. -^"V •f • 1 •u-s-oaou» QL Q. ^ »-< ■-< U \ rH 21 * ^1 _J X 0 h- 0 • — ^>u — f-i ^■r«jQ.QOMQ.* f« •SIN 1 + 1 M • 1 UJ rg 0 UÜ. *: 'imm O Ov o ua. a i Q — iMSI-J — isI «1 * * O — — + rH -~ t- ^ • fsj 0 * * 0 ~- a. a IM a >* Z^ + UQ's — rgjr 0. U U •"< t^l vO m + CO * 00 | * 0 -* -t r- * r>l r^ — N O uo~* NON. 1 000* *ooo(>inoor~co moo rH * w — 10 ♦ 2: ^I0«**0-»£ZO • »xaa-QoaJ-MX 1 V 0 r-t X • <"» 10 '/) CD O U O—'2:r\)0 • + <t u KJ _l «VJ CO U CSJ M a. X is| O (O UJ UJ • CO fsl O LJ 0 X CQ ÜD< X V. OOJU«-* fN4-~Os» ♦ U l l v * * fvj U * ^ • »- a» rH <r O 1- CD 0 1- < <- u 0 _Jo*'v«iQ2:a C^ rsl • • e? r- <r * s, rg CM >0 * <T> « • O O 1 X 0 's o 1 0-tQZt^cgr\irgXuOO* rgcnOOOOoO^OCMCM 4- h- OCO Z O z 0 tXi ooo — -JOMUOQ 1 OU*_JQ. U V v. _J X X X O X • + rH CO UJ O-H •—• 0 o_i 0 ^ 0 X oo_JVQ2:**aaros:* «org | CM en O U VJ U -I U 00 •* 1 r~ 1- fMX ft • 003 1- O O —- ►- _i _J< • NjUOONllV/OUOfNJVJ* U U U M * ♦ * 0 * 0 a. UJ >o *~4 <!■ UJ 3 * ^HQ. • O Q «- < < ii ^ 1 V Q.*IX-s.ü.—Nl • a a. a 1 • • • M • CO X .H ■* -1 s^ i- 4- -, 1— O CO < * H II O II II O M M • 11 U O M X II rf\islMfsl II !^«00> II CO II UJ -t a m O 11 h- a sr ♦ oc CO o oo r-irvjO«^ — ^-* vO — cNjin _ t! II II rH « — — eg —■ co >- CM rH h-m < O K UJ a 0 0 a. o o -j a. a. _JQ-V-'Q.Q_J'>vUa V 0 r~ 00 ^1 N. N. ^ rH V. rH * ^ + _) rH U IS) H- UJ > h- ~- _i -ici 3: z ux »VXCLO »ax • X X X X • • • x • x r- CO CM -I O X a II n z II II QUUlUUJislUJf-lGUJrvlis) r-trvJUJ 1-4 UJ U UJ UJ •-* f) <-i ui rH uj 1 ro iH < (J UJ UJ >o 0 0 O u- NJ MM »- 1- + t-++f-+ 1 1 +(- 1 1- t- 1- f- 1 + 1 1- + t- UJ 0» X u ^- a: rsi O a. u ü. 0 *-# CL
r-t r-t rg rH rsi f^» 4- rH rH (\J cn rH rH CM CO
O 0 0 0 O 0 0 0 eg en 0 0 -* 4- m O
180
r~«a»o-«(Mf>'*in«or,»»<7*Or^oj(n-*-in^>t'-a><T»o^r>4('»4'in>or'-eo<7>o^r\j
^ * -* ^ 4- 4" 4- 4'<#4'4'4'<<9-4-4-4-<«'«4-«-4-4'<#<r<r4-4«4 ■***■*•** «M *M m »V .-M CM IV f>ifxrM»>*<M«xr«i*MiM«Mr«jrMr««njrnf«irM«Moi<Mf^r<ojf«/<Mr>#<Mf>j«\i rg
J l oo z O» < UJ rg
a: z
O O
UJ < 2 a:
»- UJ 3 z O •-•
—' QC »- ** 3 so ü O X UJ ££ *~ O * UJ » rg UJ O «n u _J J- K UJ ~t .J CO m • <^ L0
ep O o —• X X "•>> h- h- -• < < a
INI o ■vO i f- ^ t—
Nl "v *— t- V. t- * r*- 3 •- r> r-t *-* m — a u- a o • f<\ ,-NJ INJ z z o O t— O» ro U o — • * U- m t- UJ o o •— -N to Ü- LO UJ OUJ * 5: 03 in >» ^ o • o ^* -t i- _i ^ - H- D O 3 ■N •* * • <fl u. o »- o >- ~v >o r\j o o i0 m* o n —■ s. c* m h- \ < 10 (V X i— • t— N, • ^ r» £ u 00 u. _J (Ni -J !
aj r-t — * ^ o < < u. r»4 n m * OQ o • •» o o r U. X * • s: -~ _i o f-i K- — o X o o o O aa o <r> oo N. 00 r-i ^* o o o: H- o u. ^ (M i^ <o «0 — i^) -♦ o 4 o + 1 — X <n o * UJ * u. vD 'N V o >- r- X ui UJ fM tNJ ^ »- U5 00 o ^* * X Z) X o O a — C1! -H rg o r- t— u o »-« o o o in _; m CO * V • > • i' oo X CO u. UJ (O o -J m ■u o o >. < v UJ • <t 1- o »- rg Z v0 r» v 1/) 00 t- o — ♦ ■* o \ > V Z) O^ <t l-l «-^ •-• ffi — M z OdQ O» \ O UJ o i-i i-H oo o — ~ ^v V _/
1 yO lO * 10 ■va sO t-i 0_l «A Z oo -» tO OJ ■^ — • o o ^ O "v < *•* O Z U) z UO o r>- <M *-* rg v Z a> K o • o o • UJ • > oa • ÜJ z tu z o oo eo O r- </) • <— UJ UJ OUJ o 04 O lO a z o ox 00 o uj a UJ t- in 1- Ch }- • u en i— OO lO *-s h- ot- 4- o «> O * i D X 'J OUI UJ OJ Q Q r- en O * • UJ »-4 <* — 00 LU rO >o O ^) UJ <-( —• f-( •LU oo * 3 (- K- (- • t- • i- N K- 10 t- 1-4 UJ > -J 00 _J •w D *— <7> _* o ^. (/) w z
CD Z 11 ce (i Q: tl a: * cz ♦ (X. ♦ a o a: * o: < I/) 1/5 o z _ z. Z H- S-O 1- o O a. -' LU UJ UJ Q. ÜJ a uj a uj UJ K O to O »- t«4 >-• UJ o UJ *-* o: < < < *-* »- t- OO > irt > i/} > > > > ii > ►- — _l t~ J 1- w »— (- 1- \- DX z tO
u z z z z z z z H z ii z li z z 11 10 _J _J o z •-< •-• z t- a; i ce </) Q O O U O LU O UJ o o o O to o UJ UL < O < ^ OU. cc o a o UJ o Q < z o a u Q U Q U o u a. u a <J a u u u t- a: t-4 u o u u •-< s o s KJ or u. UJ u. UJ
r-l i-H oo o o o o o o o o o o o o o o o o o o o o oo r-i (M CO 4 tM (A o ■t l/> r~ as co OO CO «0 a. u u u u u u
181
b, PrMr Deck Setup
The following diagrams indicate the deck setup and the core storage requirements for the Pr^r program. Each link is composed of the subroutine decks (symbolic or object) listed in the allocation diagram. All control cards are indicated by a $ in column 1 and must be punched exactly as shown in the deck setup diagram. All items in parenthesis indicate subroutine or data card decks.
182
OOöOö
LP1
LP2
LP3
Notes:
1. Storage locations are on actual numbers.
2. Load points (LP) are indicated as follows:
LP1 - 04076
LP2 - 60005
LP3 - 65623
SCHEMATIC DIAGRAM OF COMPUTER STORAGE ALLOCATION
183
{ a. 1
i CD
1 = | a. P K
Hi
sec!
r- n
r- |
■C J
^H
,C'*I
-ccl
^3
*■■*%
»n «
"* — ***
-rC^ «»"^
^ —
»ige
-^^
r^ao
rNt^
^<
f*^
r*^
i*NO
—SI —«
— <-i
— cj
— O
oo- oS o~
p~ pv
P5 p-
J
c 1 "
1 UJ'
[*" 1 h'
U
<*
•
- - -
- -^
ru i- <
\i 1 K
V
1 h
1 '
• 1 **
r-*
^*
o' " o"
r • i o;
-> a"
UJ
►-'
1 3 rw
**-
**
■
■
-
-*
vi u Q
u.'
0."
<"
at
r° •I as
w
■ -|
- —
-
r * i a. J
L <
Z
1 ^ c d
-
L "^ i • •
1 o M
C
J
< >- Ui
L ■
z
« q
- —
-
1 J«_
1 u' •
ji
e]
■
t-' III*
r <* K Q •»
>- -
•
M
U
• •o.
e
S
- • -
- - -
•
' < T *: <
z]
'«a K Q m
r- -
.
•
3 J
q M
u m'
. *] u'
i
*
af
q
u •
IB
5
- - -
- - -
< a"
<
•
z;
q
^»_ u •'
J«"
c"
J"
-<
\ <
.«4
Q *•
* -
• ■
- -< -*
-
"*j •i
cl
)- -
H
•
«1 •1
- '-) •1 •*! ■1 o|
Ui]
. -
">1
«aj
h -
-j
<
> < <
z z
* lo 1 X
1 "*J 1 »J Jl-
1 ^ lo
184
The '•ontpnts of each link are:
Link 0 AS2419 (main program) TAB DTAB DBTP TBLP XTAB LOC XLOC
Link 1 DIVERG UND STREAM
Link 3 DELTA
Link 4 CYUXD FLOW
Link 5 AXI2D HEMI
Link 6 QTRAN BEQI
Link 2 WALLT 1 WALLT 2 BLKDTA DERV EBAR IWALL JAYELL MUZERO RORMUR SOMEGA TABLE 2 TABLE 6 TABLE 7 TABLE 14 TABLE 18 TABLE 19 TABLE 20
Link? INTIAL REF SONENT STACON ATMOS
tn;
SECTION ni
THE TURBULENT NONSIMILAR BOUNDARY LAYER PROGRAM (NSBL)
1. NOMENCLATURE
Program Symbol
CP
Math Symbol
* DET.FTA 6(rj /p)
DELSTR 6*
* DHDX 3I/8X
♦ DHDY ai/ay
' DMUDY öti/dy
DQ dq/dy
DRDX 'di/bx
DS AS
* DUDX 3u/ax
* DUDY 9u/9y
* DUDYL (au/a.y)
* DVDY dv/dy
DX Ax
Description
sj^cific heat of air at constant pressure, 60Ö6
boundary layer thickness
increment in boundary layer parameter
boundary layer displacement thickness
derivative of total enthalpy
derivative of total enthalpy
derivative of viscosity
derivative of the heating rate
derivative of three-dimensional flow parameter
increment for stagnation region problems
derivative of velocity
derivative of velocity
velocity derivative at boundary layer edge
derivative of velocity normal to surface
incre^rnt in x-direction
Units
2 2 ft /sec -0R
ft
ft3/slug
ft
ft/sec
ft/sec
lb-sec/ft
3 Btu/ft' -sec
ft
1/sec
1/sec
1/sec
1/sec
ft
* Those symbols marked with an asterisk are arrays (tables) in the program. Throughout this document, a subscript i on either the program symbol or the equivalent math symbol indicates that reference is being made to the i^1 position within the array.
1%
Program Math symbol symbol
DY Ay
* D2HDY a2i/ay2
* D2UDY a u/ay
ENDX xf
* ENTH i
EPS e
EPSY a«:/ay
* ETA n
* H i
* PR a
* PRESSURE P
* QP q
QW %
QQW QQW
R r
E
* RHO P
SI
STARTX
* T
*TAU
TAULP
Description
increment in y-direction
second derivative of total enthalpy
second derivative of velocity
final value of x
static enthalpy
eddy viscosity
derivative of eddy viscosity
similarity parameter
total enthalpy
Prandtl number
pressure
heating rate
heating rate at the wall
heating rate at the wall
thiee-diroensional flow parameter
universal gas constant, 1716
density
initial value of S for the calcuiation of 17
initial value of x
temperature
shear force
local laminar shear force
Units
ft
2
1/sec
i /sec-ft
ft
,2. 2 ft /sec
lb-sec/ft
lb-sec/ft"
u2/ 2 ft /sec
lb/ft"
/ 2 Btu/ft -sec
2 Btu/ft -sec
2 Btu/ft -sec
ft
ft7sec2-0R
2 4 lb-sec /ft
ft
ft
0R
lb/ft2
lb/ft2
187
Program Math symbol symbol
TAULW Tw.L
TAULY 3Tl/ay
TAUTP rT
TAUTW TK.T
TAUTY dTT/dy
TAÜW \
THETA e
TURBS 3TT/3y
arL/ay
* U u
* V
X
XI
*XMU
*!
M
Description Units
2 laminar shear force at the wall lb/ft
3 derivative of the laminar shear force lb/ft
2 local turbulent shear force lb/ft
2 turhuient shear force at the wall lb/ft
3 derivative of the turbulent shear force lb/ft
2 shear force at the wall lb/ft
boundary layer momentum thickness ft
ratio of the turbulent to the laminar shear force derivative
velocity in the x-direction ft/sec
velocity, v" in Volume I (Appendix C) ft/sec
coordinate tangent to the surface ft
initial value of x for the calculation of 17 ft
2 absolute viscosity uf air lb-sec/ft
coordinate normal to the surface ft
Subscript notation:
Subscript
e
i
I
L
o
T
w
evaluated at the boundary layer edge
evaluated at the i^ position within an array
initial value
laminar
initial value
turbulent
evaluated at the surface
188
2. METHOD OF SOLUTION
a. Forward Integration
In the following discussion, the equation numbers in parenthesis refer to an appropriate equation in Appendix C of Volume I. The equations solved by this com- puter program are the equation of state (C-3),
p - P/(RT)
Continuity (C-17),
1
au. 2u. 1 1^
ITy ' Ay
2 /I ap 1 dri iu i +
i \p ax r axi ap^ _a_ / au i
" ax ^ ay v ay;
aTn
a>
ip ay (a ayj
dih du { du \ dp + IM * T + U —- ay ay \M8y Tj dx
1 2"i vi-i /av\
x-momentum (C-6),
au = _1_ ax pu
ap a / au \ 1 ^H. u av
and Energy (C-7):
9I = -L A dx pu ay
M ai • / 8u v ai_ u av
In addition, the relationship for turbulent shear stress, Equation (C-39), is required for the computation.
9y I P. 1 ^mi^u^ w 1 m
e di S =ä äy
s!l
Since v is expressed as a function of input data it can be determined explicitly at each point in the boundary layer at the initial or start position.
The y derivatives in the above expressions are calculated using three-point central differences at all positions except at y = Ay, Since the turbulent velocity and enthalpy profiles change very rapidly near the wall, an off-center method of calculation of derivatives is used at y = Ay.
au\ aV2
1 6 Ay (9u3 -2U4
-6u2)
8 2/ 1
2<V -3u3. -9u2) GAy
With v defined and with u, I and y derivatives, da/dx and dl/dx can now be determined. With the 9u/3x and 8l/8x derivatives determined the u and I profiles at the next station (x + Ax) can be obtained by forward intt ation using:
u = u + x+Ax x
1 ^A =! + x+Ax x
The y derivatives, v, du/dx, and 8I/9x calculations move out from the wall along a line normal to the wall until a specified limit is reached. The profiles are then stepped forward and the calculations repeated.
At each point in the boundary layer, a similarity parameter TJ is calculated as indicated below in subsection b., item (4). A value of V max is an item of input used to limit the calculation in the y-directions, which are to be printed out.
Also calculated at each station x are the displacement and momentum thickness, heating rate, and the laminar and turbulent shear stress at the wall using:
6,
Ü >■■ i i'-Ä»
/ o - i6 L£L./i-iL
0 KUel V dy
1 The notation x0 will be used throughout this section to denote the initial value of x.
190
i fö\ ai si \ =-778 y [pU87+PV37-UT dy
6' _?J1 üü ^L M a 2 + "57 3y ■X dy
The heating rate and shear at the wall are calculated by an integration over the boundary layer rather than from the definitions because of the greater accuracy which can be obtained with the equation.
b. Numerical Method of Solution
The purpose of this section is to give the procedure used in solving the partial differential equations defined previously including the required numerical approximations.
The following variables and tables are input. Tables are indicated as functions of some independent variable, e.g. P = f(x) indicates the table of pressure as a function of x.
u = f(y) at x
I - f(y) at x^
ar ax
au 9y
P - f(x)
r = f(x) w
= f(x)
= f(x) e
In addition, the following quantities must be specified:
Ax Ay T) max f
191
(1) Calculation of tabular values
x. - x. , x. , - x.
l+l l X. . - X, l l-l X. - X. i+1 i i i-U x. , - x. ,
i+1 i-l
i = 2, 3 (NP-1)
= 0 ap ax
i=l
(2) Values obtained from tables (linear interpolation)
P = f(x) (|^) =f(x)
9P 3x
f(x)
r - f(x)
v^f.:)
i =f(x) w
_ar ax -f(x)
(3) Computation at initial x = x
y. = (i - 1) Ay i = 1, 2, 3, .... 200
u. = u._1 + (-|ü) Ay i = (LIST + 1), .... 200
I ^IST
LIST = number of input values in u and I tables.
T. = (I " u /2)/Cp
-8 1/2 Ji. - (2.272 x 10 T. )/(T. + 198. 6)
p. = P./(1716T.) ii r
C = 6006 ft2/sec-0R
i -2, 3 200.
192
(4) CalcUi. tion cl 6^
S fl\ , A 3/5.4/5 [p) ~- <ue r Ay "e )/S
S = SL^pu ur x- initially. At x + Ax
= o u u r Ax x+Ax e e^e
(5) Calculation of y-derivatives and v-profile
3v
9y
•m Ay
3^
9y
Mi+i - Vi 2 Ay
du i 1 T- =7T-(9uo -2u^ " 6uo) oy 6Ay v 3 4 2'
A ay
il 9y
ay
6Ay 2("4-3u3-9u2)
6Ay <9I3-2I4-6I2-Il)
2 6Ay' 2^4-3I3-SI2 + 5V
j =2
8u Vi - ui-i 2Ay
ai 'S?
^1 - ^-l 2Ay
a2 o u u. + u. , - 2u.
i+l i-l i
v 2
^y
193
82I
I. +1. -21. i+l i-l i
ay = M.
32U
'»y2
IE 9y
3u
: 9y
.833 . 12
= .054
L 'L
?) ©ft)©, Ay 2
T' = T T T 2
^rVi^^i^i-i)«^)-?
i = 2, 3; . . ., MIN (j, 199)
The edge of the boundary layer is defined by j = i at which the following criteria is satisfied:
Ay 9u aui
9y" 9y| eJ < .00001 —%?- < .00005 I 9y
The following are calculated for the range - < i < j
T = r - r T. T . T . i ii lj
T =7' - T' L. L. L.
i 'i lj
T - T - T i L. T.
i i
T = - T' - T' 1 T . L .
'J 'J
194
t. - TT /(9U/9y).
v.833 , 12 "#)(Mm-'0 (3u/ay).
dy a2i
9y ay ^y i
2Ay (Ui+l Vl " "i-l Vl'
• • /dq qi = ^-l + W
i-l dy ) 2
T,.™ , 2/I d- 1 dP\ PART 1. ="- u. (- ^- + r=r -T-)
i \ r dx P dx /
= _1_/^L| + ^T _9P| \ i p.u I 3v 3y . OX . J
PART 2
1 dq I 1 PART 3. = hr1 + (u- , T. - u. , T. ,)hTT-
i P.u. dy . v i+1 i+l i-l i-l' 2Ay
PART 6. = u. i i
2v- i A i-l 9v
i-U
v. = i 3u 2ui
^y
PART 1. + u. PART 2. i t i
(I - "j /2)
-— (PART 3.
- u. PART 2.) - PART 6. i i i
9y = 7^^ -v^J -
3v Av v i i-l' #)
i-l
195
(6) Calculation of x derivatives
ax „. „ i 3u
= PART 2. ä- 1 U. oy
l I J
31 ax = PART 3. —i^-
i u. ay i i
(7) Calculation of ö*. fl, Qw, TW L, TWJT at x
J 6* = Ay ^
2 1 -
p.u. + P. , u ri i i-l i-l 2 p.u.
J J
A J P.". / "A P- , u- i / u- i\
2 ^ p.u. ^ u./ p.u. V "j /
% 778 ^ « 9I
i i ax ai
+ pi-i Vi T* i-i
ai + P.V. -5- ri i ay
ai + ^i-i vi-i ^
i-i - (U.T. -U. , T. )-r— v i i i-l i-l' Ay
QQ = ^Sv 778 '
1 Ay
ova
M1 2
Tw, L " TLj
T = - T' w,T TTj
(8) Calculation of u and I-proflles at x + Ax
ai Wx-Vax Ax
d"\ A U A = U + -r— Ax x+Ax x 9x
'x
} i = 1,2 j
196
ui =UJ
1.1 = I, ■x+Ax 'x+Ax
i = j+ 1, j + 2 200
c. Stagnation Region Calculation
A slight modification to the previous discussed procedure is used to obtain stagnation point profiles. Input profiles are corrected by integrating the u and I profiles, but x (not equal to zero) is not increased during the integration. The profiles are assumed correct when
W. x < •1 "LIST for a11 i
This convergence criteria is obtained with the velocity similarity stated below.
/au\ u a / e \ _ _e 9u \ dx)~ u ax
91 e
8x = 0
Experience has indicated that an enthalpy profile convergence criterion is not necessary.
For the stagnation region, the equations for the velocity and enthalpy profiles are changed to
I =1 +^ i,S i,S-AS ax
AS
i,S au
u + i,S-AS ax
AS x + AS
o
If ![ or uj become negative for some i, AS is halved and the case is restarted. This may be repeated a maximum of two times for any combination of Ij or uj < 0.
Additional input quantities are AS and MITR.
MITR is the maximum number of iterations that the program will make in trying to converge on a solution to the stagnation problem.
197
AS is a pseudo length similar to Ax. The program also uses AS as a test to determine whether the stagnation point calculati i is to be performed or bypassed. For a flat plate case AS = 0,
Calculations for a hemisphere may be performed near the stagnation point and also along the surface. This is accomplished by the input of AS > 0 and Ax > 0.
3. INPUT-OUTPUT DESCRIPTION
a. Data Input Preparation
Data are input through the medium of IBM cards. The purpose of this section is to define the required inputs and the form they take on the cards.
A sample data sheet may be found at the end of this section. Use of this type of form greatly reduces the amount of effort required to obtain results from the non- similar boundary layer program. The data may be keypunched directly from the form.
All cards except cards 1 and 4 must be keypunched with decimal points and power of ten indicators as follows: if only a decimal point is needed, the number may be punched anywhere within the respective ten column field; however, if the power of ten indicator E is used, the exponent must be right-adjusted in the field.
The information on card 1 is alphanumeric and may be keypunched as desired.
The data on card 4 are all integers and are keypunched as fixed point numbers (i. e., no decimal or power of ten indicator E is to be used). Each number on card 4 must be right-adjusted in its respective five column field. For example, if JOT1 = 1 then a one must be keypunched in column five.
1) Data Card Formats
Card Columns Format Description
1 1-48 8A6 Any information may be given on this card. It is used to identify the case.
2 1-10 7F10 Ax, the increment in the x direction. See the discussion on numerical stability in Appendix C (Volume I) for the criteria to be used in choosing a value.
2 11-20 7F10 Ay, the increment in the y direction. Should be chosen to provide at least ten points in the boundary layer for accurate results.
198
2 31-40 7F10
2 41-50 7F10
2 51-60 7F10
Card Columns Format Description
2 21-30 7F10 ^max' the limiting value on the number of calculations in the y direction.
XQ, the inicial value of x. x0 > 0.
xf, the final value of x.
a, the turbulent Prandtl number.
2 61-70 7F10 CHECK, case dependence criteria. If CHECK = 0 then the current case is not dependent on previous calculations. If CHECK = 1 then the current case is dependent on the previous cade.
3 1-10 4F10 AS, Calculations may be made for a bluLt body. This involves calculating profiles near the stagnation point as well as along the body. This type of problem is indicated by AS > 0 and MITR > 0 (card 4). For nonstagnation point calculations, AS = 0.
3 11-20 4F10 Turbulent Prandtl number - must be equal to Prandtl number on card 2.
3 21-30 4F10 Sj, value of S used to initialize
S = ST + p u v^ x lee I
3 41-50 4F10 Xj, value of x used to initialize
2 S ^ S, + p u r xT lee I
The data on card 4 control the number of values to be input to each of the iuc- ceeding tables. The values must be greater than zero. There is an upper limit on the number of values that may be input to each table. This limit is given with the description of the table. The limit may be changed by altering DIMENSION statements in the program.
4 1-5 1415 JOT1, the number of tabular values in the DJOT and XJOTT tables. 0 < JOTl < 10.
4 6-10 1415 LIST, the number of tabular values in the u and I profile tables. 2 < LIST < 50.
199
Card Columns Format Description
11-15 1415 NR, the number of tabular values in the three- dimensional flow parameter table (r), the table of its x-derivatives, and the tables of their corresponding values of x. 2 < NR < 50.
16-20 1415 NP, the number of tabular values in the pres- sure table and the table of corresponding values of x. 2 < NP < 50.
21-25 1415 NW, the number of tabular values in the wall enthalpy table and the table of corresponding values of x. 2 < NW < CO.
26-30 1415 NDU, the number of tabular values in the (9u/9y)e table and the table of corresponding values of x. 2 < NDU < 50.
31-35 1415 NV1, the number of tabular values of velocity normal to the surface and the table of corre- sponding values of x. 2 < NV1 < 50.
36-40 1^15 MITR, the maximum number of iterations allowed to calculate the profiles for the stagnation region.
Cards 5 and 6 are used to specify different frequencies of output and the corresponding ranges. The maximum number of values in these tables is 10.
7F10 Table DJOT, assigns value to first, second, and successive printout intervals,
7F10 Table XJOTT, assigns value of x up to which each interval of table DJOT is used.
2 In the case of tables with more than seven input values, the card number refers tJ a set of caris (e. g., if ten entries are made in the DJOT table, then card 5 actually refers to two cards).
200
Example: XQ = 0.5 and Xf = 1.0, Printout is desired every . 05 (value of x) until x = .25, every .01 until x = .3, and every . 1 until x = Xf. The required input would be:
Card Column Value
m 1-5
5 I
1-10 11-20 21-30
.05
.01
.1
6 1-10 11-20 21-30
.25
.3 1.0
(right-adjusted)
Columns Format
7F10
7
7
7
8
1-10
11-20
21-30
7F10
;FIO
7F10
7F10
Description
Table u-profile = f(y). The purpose of this table is to provide the program with an initial velocity profile at x = x0. Normally, this table must be input and contain at least three values. Exception is made when a case is dependent on a previous case (see Section 2).
This table contains LIST tabular values. The maximum number of values in this table is 50.
Velocity at wall.
Velocity at Ay from wall.
Velocity at 2Ay from wall.
Table I-profile = f(y). The purpose of this table is to provide the program with an initial total enthalpy profile at x = x0. Normally, this table must be input and contain at least three values. Exception is made when a case is dependent on a previous case (see Section 2).
This table must contain the same number of values (LIST) as the u-profile table. The maximum number of values in this table is 50, Entries are assumed to be consistent with Ay.
1-10 7F10 Total enthalpy at the wall.
201
Card Columns Format
8 li-20 7F10
8 21-30 7F10
9 7F10
Description
Total enthalpy at ay from the wall.
Total enthalpy at 2Ay from the wall.
Table r = f(x). This table contains NR tabular values of r, the three-dimensional flow param- eter (streamline divergence due to body geometry). The maximum number of values in this table is 50,
10 7F10 Table (ar/ax) = f(x). This table contains NR tabular values of {dr/dx). The maximum number of values in this table is 50,
11 7F10 Table x. This table contains NR tabular values of x corresponding to entries made in the r and (dr/dx) tables (cards 9 and 10),
12 7F10 Table pressure = f(x). This table contains NP tabular values of pressure. This table is numerically differentiated for (9P/ax). The first value of (dP/dx) is set to zero. The maximum number of values in this table is 50.
13 7F10 Table x. This table contains NP tabular values of x corresponding to the entries made in the P table (card 12).
14 7F10 Table wall enthalpy = f(x). This table f ntains NW tabular values of the total enthalpy ^ i.he wall. This table is used for nonisothermal wall problems. The maximum number of values in this table is 50,
15 . 7FIO Table x. This table contains NW tabular values of x corresponding to the entries made in the wall enthalpy table (card 14).
16 7F10 Table (9u/ay)e = f(x). This table contains NDU tabular values of (du/dx) evaluated at the edge of the boundary layer. For all problems not involving vorticity (9u/ax) - 0, The maximum number of values in this table is 50,
202
Card Columns Format Description
17 7F10 Table x. This table contains NDl tabular values of x corresponding to the entries made in the (au/3y)e table (card l(i).
IS 7F10 Table Vw = f(x). This table contains NV1 tab- ular values of the velocity normal to the wall. This table is used for mass injection or leakage problems. The maximum number of values in this table is 50.
19 7F:o Table x. This table contains NT 1 tabular values of x corresponding to the entries made in the Vw table (card 18).
20 NOTE: In all cases where the values in the above tables are zero, a ?ero must be entered on the input sheet.
E>ample: the normal velocity at the wall is zero:
V table (card 14) 0,0 0.0 0.0
x table (card 15) 0.0 1.0 2.0
2) Case Dependence
The NSBL program has a criterion which allows a case to be c'ependent on the success or failure of the previous case. This involves the input CHECK and LIST and the test for ERROR.
If: Then:
LIST CHECK ERROR
0 0 — Not dependent on the previous case, program continues.
0 1 0 Dependent on the previous case which worked, program continues, using final profile from previous case.
0 1 1 Dependent on the previous case which tailed, so present case stops and program continues to next case,
0 — 0 Dependent on the previous case which worked, program continues, using final profile from previous case.
0 — 1 Dependent on the previous case which failed, so present case stops and program continues to next case,
20;'.
b. Output Description
The printed output consists of the input data and at each printout interval the following are printed as a function of y:
y u q dv/dy v 9u/9x
T T I T) ai/ax e
The following are printed as a function of the x at the end of each printout interval:
K Tw,L
Tw,T
Ö*
9
P 1
ap/ax
QQW
S
204
c. NSBL Input Form
CARD TITLE CARD FORMAT 8A6 ALPHANUMERIC ANY SPACE 1-48 1
Ax Ay Vma* *o xf Prandtl no. CHECK
AS Prandtl no. «I XI 50 60 70
JOT1 LIST NR NP NW NDU NV1 MITR
mnr 5 10 IS io 25 30 & 40
XJOTT
1 1 1 1 1 1 1 1 7 u-profile
8 I'Protil6
9 L
10
11
x
I I I I I I 1 x table
12 Pfwsure
13 x table
14 Wall anthalpy
,K xtabte
1 1 1 1 1 1« Wu/dy)e
! 1 1 I 1 1 17 x table
i 1 ! ^ 1 1 v
Ifi w
1 1 1 1 1 1 iq x table
1 1 1 1 I 11 21 31 41 51 61 71
20Ü
PROGRAMMING INFORMATION
a. Program Flow Chart
INPUT
X PRINT INPUT j
LOOK UP p 9? cfc 3ul P 5x,r'8x,8y|e
,vw
AS FUNCTIONS OF x
CALCULATE
. dH du 31 d2u a2l aTL 9TT T. T. „
FOR ALL POINTS IN THE PROFILE (»I < TJ^x)
I CALCULATE
de \, TT. T. C.-p-, AO, Q", PART 1, PART 2, PA.TT 3
PART 6, v, |^ , li FOR ALL POINTS IN PROFILE 9v 8x
CALCULATE qw, Tw, 6*, 9
X PRINT OUTPUT
| INCREASE x tYAx j
Pi* 'ax'
LOOK L"?
ox ' w ' 9vl AS FUNCTION OF x+Ax
——" 1 -L
CALCULATE u AND 1 PROFILE ji.T, p AT x+Ax
206
b. NSBL Program Listing
22022222Pooo:}:>::>:>00<:>000000oooooooooooooooo
»« (O«®«oo(0«oaoaooocoaao»oo<oooooa)ooooa5oooooo<0(aoo<o«ooooocoflac0(0<o<aco
>--J Q^ ox «3 ~~2 z
.^O - lO O - I _J 5< • j -,-(N DO CM > 4" < OUX -
. ~0X^'*UJ a 0 & ^ x x a: x» oo UJ ce 3 ^ tu n « j< IA
OOQ-m-^OV- L0X_l ^-IliArH.ouJUJUJ»- Dxi Q^m^^.n^
^n CM-WX- .<NDD oa:a< a < o a> x < ooo o S « ^ g o -x<^^^T
^9««~^^9 '^<r00000000<0^00000-0000<00irortr,
WU
L'O?
fM(n-tm'Or-a><>Or-«(M(04-iAor-ooo«o^r^tn^if\«or-{o^O'-«(\i<n-tm^>r-eoo>.o-«fM«*>
ooooooooooooocoooooooooooooooooooooooooooo
co<o<o<X)aooocooooocooocO(OJßcO(tido<0(OcoGOcoo9cocott(DflO(OGoe9<ooocoaocO(OaoeQoo(0<o
M uj a u. X o •- r a: o a x
f- UJ UJ 4- U — z X -Ui I- iOQ
UJ Z (£ -ilü o «a U. N, U. UJ
m o a — • a t- rg 0. O Z ^ »- UJUJ X _j o» u» ^iO • D «-. en -• «no >- o: >-• Q «^ 3UJ • z ^v •* 1- -J D D R-<
— « cc a: O «^ U. UJ X >
JO H-»- m -» — 1 _J DC U. O • Q: a ^i- <a < z x o O • a v m QC a x 1 u) m o ^ rH Q: a: <o 3 ►-« • UJ < • UJ UJ »-I < I oj« 3; X • »- H- rH li. x a a x
ÜJ (/) UJ rH 3 D X i o: «- *0 • I •H rH O *0 1- < X i«J ^ • ^ u. •-• < u Os o o x >. 10 rHO O Ov u>a: to co V _J J r-l • < *0 i/) <-• UJ -x
f\J »- UJ < X -1 UJ UJ UJ rH U) Z 3 »- 03 _1 _J _J UJ ^ < 03 CO GO
< U 2 * t- < < < CO •- •-• O ♦ H- ►- t-
<-• _l X -• * >- ui H- o: i ~ Q >- —. MI
uj O uj m ♦ >. O »H r^ CO _J Z K »o ♦ 3 3 *-- «^ i— -< X 3 •- • * Q O > > Z u. rg t- o: x ^^ X X X X < O " ^ z u vo UJ m r-l ^■ * o t- CK ^v UJ Ovl 10 • rH OJ CM r-l co O a m Z ui • < a • * — • • z o •
• O VJ O U OJ o o o O • o co <N 2: z x u. X X < X I u o II ~ >-> UJ fH o tn r* r* CO 1-1 1-1 it ** I u UJ o — z — «#«•«• W <Bi X ^^ 1-1
f- X cz *~ — t~ >- f- 1- h- H- < r-i «# CO ►- UJ < Q < < < < < < on a« H-
at -• > z UJ z x x z z r o t- H o izaoaocaoraci: O o o ILUJ>DOOUJOOOOOO o: ~J -)
_j<Muu.(x:u.u.u.u.t/.u. a Q X r-« f\j oj rg !-•
r- oo ^ O '-' <o r- o o O iH f4 p-4 f-4 INI r\j r\J eg (M CM CM
UJ
z UJ 3 o UJ to
o e> • Z UJ
• o «-a: >0 II • _l 3 O— O _J W) OIH II < tf) « «• "• U UJ
>• ^ Q: no— u. a
3 < aa * a x H- < * u a UJ »- *
a K H- -i xa u u u o oo -J -J J o XXXi-lf-4f-«if\ X « H H n II II II o MM«.«.» «. M a
« « a a a. a a a a * -i j _i -j _j -j j ♦
a - K ot-a -JXQ «^ *w« *-•
ooo j j _i a X X X iH •-« rl m it n it it it ii )i
■-• CM <n ^ ift «o »»•
a a. a aa. a. a ooo oo o o _i -j J -JJ _i -J
u u u u u u u u u u u
208
^ift<or-oo<>o«^rsi<n*in<o^eoo»0'-«fM<o-»mi4»f~«oo*Oi-i<Ntn'*«n<or-ooo'>Oi-tr^«n^ ooeocoaooococ*0>(r>OkO»o»0«0»&0«0000000000>-<i-i*<i'>4MMr>«i-4p4^4r4rM(vr>jot
CO<OaOCOOOCO(O<O(OCQOOOO«OCOCO4OflO<O<OCO<OflOCOCOOOflO<8a>aoaOaOOOCOflO<O0OOtf>(OOOCO i,»f«'p-^r-r»i,»r»h"f«»r-r,-r»f,"i*r»r*^f>»r»^r>-h-f»f«r»r»f,«r*f,»r»r"t-h-r,-r«'r»r»f»r»f*
z o
OZQCh-
>-« *■*•<** -»rf
u z 3 U.
u u u OO O _J J J o X X X >H r-l r-l in il II 11 II II II 11
a: * * *
»H rg <n >» m >o r-
a: cc QC QC oc oc oc j j _j _J _i -i j
a: H K- a ae a: -j x a
u u u o o o -I -J _l o x x x i-t f-t -# m
x II II II II II II II
a — * ac o: on oc oc a: ac * OOOOQOO
V — ^ I a. i-t — _j -I -x -I < i»< z JX x z uu u uj OOO
-l-l -J o -J XXXr^>H>-iin X -i II N II N H II II O < «-. 3
* IIIXixi * * _i j _i _i _i _j _i ♦
3 3 1- O O 3 _l X Q
<J u u OOO -1 -1 -1 X X X -• II II II II
r-l II
o M «ft II M
r-« r*i «*» .* IT» <o P~
3 3 3 3 3 3 3 Q O O O Q Q Q _l -J _l _l _l _l _J
u u u uu u U U VJ u u u c;
L'O!»
m-or-o30«Or^fM<n4,'n^r-ooo»Or-if\j«n4-m>or-coo»Oi-«<^<n^iA^>^ooo>0'Ht><cn>t«A'0
aocooococoaoaococoooaoooooaooocoeoVfioaocococococoaocoiOoocOfiOflOaocococBCOVcooocDQ} r-f-t»r-t*r«»r>-r»r»f-t»r»f>»'-r»r*r>«r»r*r*r*r»r-r*t*»*r»r,»r,»h'^r»^r*r*i*f*r»h»h-^'K
x
a
> -I
o J X II
> -* X >
uu o o _J _J x x n ii
> > -i -i
— »-»«MM > www
* -• « > * -J
u u
u I
cc a
•> X o z UJ •
— X ao t- • oc
II h-
• • — X <- <
UJ < _J I- • f- UJ r-« <-* • + »- >• X — Q Q .—. • "s r-« X X r-IQ Q
OtM ~ z f-lf-trHtn • rH K UJ II II II H lO • H- II max 4- «n >o f- «- < H- wwwwQQHO ^|fHt-«<-«<<«/)Z > > > > UJ UJ 11 UJ -j-i-i-nraex-i
> z
Q Z
a z
to o 00
CO
— CO — »- « H- o ^ O -) M
• eg • <v « ~ ■ MM f- -« M • w UJ —
-« l-H _J
a — • •- xo Q -> z • UJ (M • N X« H •
< •-« H «-
» I— X o < -) X X < •
a: z
v) t0
o X "1
a o r- < • • t- o m «o a f-4 w •i co n
•-«»- ui vo u o z ac< x -> -■ HUJ _J x i- zoc
to m M «
>- (- m M M «- ^- I-- •-}•»• »-»-H XQfM~ — O O "■' Q <-• in »i i-« O ->-)——-. — rjww«o OX<HrM<^4- • 3 I ♦ — — OOOOOJ-» — t-t — -'fNjrijMojtrt'~-»oo
4|'H'4-H-miA*»«-» — «»t-if>trieo
o ■«■•-< (^ -> Ul UJ Ul Itl M oc rMK-i>-i n aat-KH-H-JOOz M «/)*--JH-<<i-«MMI-»w<<w ^MU. H oujujaocor. üCLLUIUJü.
a
— a: o: — u) a: z z t- _| z • • oc (Q • M »-i • < fH H • <- I— B <—• ►-• ♦-•
M • • «* X • — — >- Q «« i-t ■_< Of v© V M w w X <> CC «*»-►- "- • Q H a cc — —•-*
Q£ Q x m 00 o» O w o o * Z -. — ~. CM fM ♦
« » • ^ tO If» Ifii «f» >"• — UJ
-I CO <
o m 00 00
uj uj a. Q Q O H H Z < < < M M w UJ UJ UJ a: o: u. a: cc a at 3 «••
o >-< 00 CO
L» UU
210
r»<oo»o>-«cM(n4-i<>>or-ao»Or-ir>ji<t*mtor-aoto>HrM<*t^mtor>a>o\0>-ir>jcn*M«ot» ««0«or<-p»r*r>i<*r»r*r>-r»r»a>cocoaeoa9»cow«oo>otOkOvo>o>o»OkO>OkOOOOOOoo
OO(OOflBCOIOncooOCOO'O4PCOCOaOCOCBCBCOOO(OCO<DCO9OOcOOBflD<BttCBCOCO0O9<Btf9CO
Ui a >.
_i UJ a
UJ o
a. 1
a 3 Q Z
a. z r-« N
a. a -» z z ^ • • i-
>-i •-• a. H n •
tii *»* *^
CD <
u a:
to UJ a: a.
o. x — «. «. > r>- *» — OD fH pH r-l • • • • »o »o
in m — — IH
UJUI a o O »-I- z < < ►-• -i it ui tu o: a a ac ct ?2Z
ÜJ a (NJ _i LLt a ♦
UI «-> -I h- CÜ ^ -. a
< «^, I H- *, | -
X K — tvi + f- Q Q. | K _|M os a z — x IU w • o • --( i o t— oo
O«M ♦ — + a o> UI * || M >4 c* «* «1
< ii »- »~ uj M D e» -I —OK X Q— Z -> 3 MOM«»**»-«» U —iHtHNW— H-Z -J H- _I_I_IH-Z — < aoujuiuiCLOu.
3! — Z ~ X • 3 -I ^Z J « • <
• • • UJ «* M »»
-3 DO oz z • » 1-4
3 O
03 <
< X I- z UJ
<
04- o o
I »-• I -1 - JC -J X X < 3 — XX — ** MP *^ ^w
*» •» o* »^ r-l »-« * •
IT» If» >-• «»
UIUI Q Q K I- <<■-■« ui ui o: a: a a » 3
o •■« • •-« eo • — <• 0* —.- K • •-« w 3
m — ^- CJ eo K3 X ^ SO — — • O X O» —
ui m — — o r~ _J 00 —. * . iNj »-4 CQ 0> r-l f« • *
t- — trv m — >-
>- a ui IU o z a o i- ►- — X w < < •-« •-• t-t o u. UIUJ cc a — o »- a a x 3 >
CO o Os OO
ON
-H > > Z Z • • i-i
•^ H ■ »-«
«O )-4 %M*
00 — H. O» H •-• • »-«> —
o* > x r^ ^ - — •-• • «. ^ Cg
<h rH iH • Os * • <0 — lf> If» «- rH w. — > Ui Z Q Q »- - < <« u. ui ui Q: •-• a oc » m vo eo oo Os Os
<JU u u u u u u u u u u u u u
211
eSüa0cocococDcocO(O(ODeo<o09<ocO4)co<eo(BflOoeB<oMcocB(O9ncococo<soo<oco(sao r>»j*fh.r<.r-f«»r.t>-i«'^r»r>-r«'r>'r««^i«-i*r*r^t«-r'f*r*-r».r*r*i^r»f*r«-^r*r-f*r>.»*r*r»h.^
CM
u. o« •v I I r-* • &
X
0»
Ui
10 UJ
— u. O •HO a > a a. r a. — • *->■
f* >■ ma. N a. -• _i — -i -i< • < »T
— I •-* ►- <->»- « Z — z •« ai rH •> O > Q -• Z • z «-<
— < I
_i *-• u. o ac a.
<
UJ
> ><
u o
— UJ r- >
— o UJ Ui
2 3
DO — -I — UJ CO > r-t O
• fH «0 o
Ui < t-r oc o »u.
oo
OJ
o < Q Z < to UJ
UJ ac
<
_l < (Q U. <
< < UJ oc
to o a to
t^
* * o Q: a: UJ
Q z < v u UJ I
in in r>i (M • • o o ni rg • • o o nj rg
o O H H a: auj
ÜJ OH-
(X o a: o: ÜJ
io L. U.
0* »H
ni
O a: UJ
tO
tO
* o oc cc UJ
UJ
CO >n CM
m
en r- m o 0« eg
O
tn
CM O
-.o —
a o _J Ch
i-i tn — o» a. o o _i ~ • r-i
X I
rsi
ON
O CO a:«o «oo • < — oOD<o
a K K ii » — — H a ojujaoa-^toQ-oo NO UJt-O»-Oc0t0_l — X-i — »-"oc a — u — OL o— u.a:Q£OQCQ.a:ii.oau. MXujoui-ia.<->_jo>->
oj en m m nj nj
o CM
OC -J
O X II —
— 00 00 <
OC II -I oc
rg o
0C O" o -I — • <-* X I
-« O CO 00 CO II < •- — '-»-a: ac co N o J— X_i -oc o« (i. o a: u. <-• _j o ►-«
fM CM rl
D O _J n X
CO o< n i- — ii CO -I — >- O D -JO
Ov CO
co
Ox ^• • O»
f- OK
co • • »«
CO — CO 0« iH • 0» — •*
r-t Ok > <>
I X I
00 O 03 00 — II < — D — I- >-• O CO H > .J — -' -J — »-4 rH — U. > — UU « _i > l-l
oo
uu u u u u uu u u u
212
o>^rij«n4'>n<or^a}0«o^cM<n4-m<or>-a>o«o<-4(Mm'«'in<or-«ao>0'-><^«^^>AiOt>i-<oo«o inminmiAin)nin>nm>o<o<o<o^)<o<o<o«<or<-r>r<-r<-r<-r>r>.r<-ro.r>co«ofloaoao<oao«o(0«oo>
^f«»r»r«i»-t^t*f^f,^r-t«'f»-r»r>-i»-f«f*f*^r*f*f-r»r-»»K^r»r»r»r-r*'i,»r-r»- 40 CO W 4> «B (0
CO
Q >
UJ
»^ •-• UL * *i^ X O * >- »- ♦ 10 a tO Q »-* «M UJ a V X >. ♦ _J «o m IO * M > • •
a f — a: u. ♦ r-i U rH — U. « o • * 1 V ♦ « o «•» a (O
o — ♦ — T a UI -) r-t o» • —.f- UJ M> > 'W
00 >- fM M * D D _i •-* D 1— •Q V, — • -J Z < »- X V.
^ ♦ CM •- o < X M < X ON _J * * r-l > * >- > * rg oo >- * ooi>» »-4 -* -^ >- ■•«
• Q — OrH -I -) z !-• »^ QC a i- •H 3 M | - < »» ■-< o UJ *
O O» O w UJ V M D O DO Q 0£ * O 00 > -•» U rjul •- * Ui to -i CM — — — X X * (NJ — h- 1 I-LO M ä > m x X >- ••-••-■-• X DC > *^ r-l
• >•■•*' r* IS) ~ fMLiJ z -> < ui o Q Q .-> l-4~> w «. u N X -) •** -H Q ►- | »-< - .(K MM w to on a. Ü£ D i-( li D I >- UJ < > It * U) —! _l «- rgo. uj O a. a O Q w — n n ii »-« -i UJ h- z: o D II ft MM.* N^ X II II D UJ X o n it II R > D < O < Q II _
"•v- -i D x w Ä— a; H- oc t- UJ > oc > > «n a ^ M M M UJ UJ Z _l n H- Z < •-I
m i N i u tl U i—t t—* »-^ 3 * > to II t0 to M UJlA > > •—§ D a ÜJ 11 l— w ^ 1-^ ^« M« «^ *■*> <"» w — t— a. M (^ t/)XUIX>-UJ>(MUUJUJ«/)l/> »- U 8 II •-< UI O O V
n M <» H I-» « DO Z X W) § UJ a > a cs > to > > > DO Z -I O O -1 n n c> o« — Ü. — %* — ZI O o H CK a to o: D vn r-l O to to 10 T X O < _) o o ui I»« -> > Q>- v<->3x»-xa:u VJ 10 _J Q.oa:OQ(n>ODXt-xa:u u z Z Z Q z z a 00 o •H kA f\ 4- o 00 o» o> o» m (fl fM
«0 00 Ch <> U U U «J u u uu u
213
0'»<M>0v0»(hO0«OOOOOOOOOO>-i-4r-lf-l^t-l>>«»4r4iH(MC«r«<>«(M(M<MrM<M(M(n<nm
<DCSCDS<OOB<DCOCOCOOO<OCOCOCS<OCOCO0aO(DQ<O(OCBCOCDCO<OCD<OCO<p(OIO to <& <D ao co <0 oo
CM r-l *
3
w * • • « ♦ CM CM en >- N. >«» «n >- Q >• >- CO O «v a a • N. • * * ♦ • -O mm *«"• -»* * vO CM «^ >-* -. -,< •> >- -^ * — •mm «.-•»_ «w a — * — CM CM > w w ui KM V.—• >-r^ * « Q >- V _J w —. B »^ Q — * * D -J ►- UJ D >- >0 — N.I >>• a D D Q X Q v X • * OQ • < < ♦ X ♦ — 1 a> • V.'v »- ►- — >s. • — —. vin »• mm. 1-4 ♦ + — *» (M <M fM —> +• *********. «■V -« — fH n« <—• ********* >■■>-—*•* > •-• «H | «• ^ D X CM CM a a o 1 1 — > •• * * —— * ♦ DX D *-i •—» ■^#
* »-• • • DX • • * * X o *M —1 « <o * « CM CM • • o — >- >- X •I I 1 1 • • >-'<-» CJ IM "f « _! i- o: «•^ •■* ~ o O Ov ■V >» 1 1 ^ *•«' 3 D + D — <t -t 1 1 <««>»«>, *^ >- < < — ♦ D •^r -^^ -^ ^^ *» — »-» »H — J 1- 1- •- r» «n ^» Z <-« D X cncn ^«-«11 V D en en
o ►^ X o ♦ * — 1 1 <->« Q < + + o • •*• l-t «^ 1 o • • DX ^4 •>« «^ «M» D 1- 1 r- • tn O •* in eg <M ♦ ♦ • DX fM * r-« 1-4 Q£ en vn • I rH * 1 1 • • D I t + Q — 1 1 - • f-i en en o oc + o —» »-. CO f-» 1 1 --<. ♦ "-> « « + en 4- <* 4- •» rg — •♦ o en en -f + — -» ,-t r^ •-* «^ IMf <M^ *-* 4> • • 4- • tn * * •» o «»*««««» •H ^ + + •-'«/> Q. Q. •-• < 4 in * O
x • o •* ♦ D tr> D X >* •* + ♦ -«• «- ID -J »- 1 •-• ~ <A<0 O <* o o Oift - X * ♦ * ww »»• M «#* «^ D OC D D -< a: «• • • en 0, • • • <M z o — X o • ^ DX DX X D << - UJ -> 4- m 4- — o o o o <n • • w <^ o Ot Ot ~_ CM D X —— X 1- 1- H- < \~ «- <<> <4> • -* H II H N ~ CM 11 — n o — — (1 II O -» -* 11 II II H 11 II H- •-4 D OH •«•««««« • » Q. UJ IÜ N -»»- »» m tu ii ii — — OLU II II — — UJ -» — «~ -«■ UJ Q: + — — en u) fHr^^lr^OOODO*^ ^4 N^ Nfc >-« *■» 3 — — CM CM ^ 3^ ^.«„ 3«« « >-< H u ^* ** «^ ^ •-*
^1— *.ww|| IIOZO*Z «^ *■* ^» CM Z «M CM —-' 2! *-* »M *-» »»• Z ~ - «^ w <^. MMM _| ii>->-ü.a-* — -i *H rH ** o«^ -> > 1 w «* V >- >. o <-——>- >- •-<>->- a. a. •-• a: «• v w .« | a-JH_iKfHfHZt- II 1-4-CQ«- a *** 1- >• >• QO l-^->->-QQ^-_l^-_^^-— o « D X »- X « ODD D D z o z o: H-D •» ZQ O DX ZO ODI Z D D D D < oc 0<<<<Oau.OQOOD- XU.ODXcM<MOODXCMfMO<<<<»- a: ^ U. U. U. li. u. »JI-l-H-t-OO« u zuo»- ♦ o Ml UQ a Qo ouacoou»-K •- h- UJ Ul ^ « —««<-l
o o o t-t CM •-* m i«» rH en o 1-« CM o O o en <n en 4- ■* en tr\ m o o
m o »n
< JU u
4
214
<n'*,iA>or'~<DOkOr4r4t«i<*m«or-cootOr-ir<jm<t'iA<or>aaoto>-4cM(n'tf'm<af~<ootO'-iri4(^
<0 40 CO <D IO SO aococoaococDcooocosDocoio ><DCOO9(OflO0flOIOfiO0CO<OCO<OflOa><OMflO(O •r*f«-r*r»r*f«*r«f-^»».r-r>-f-r»r«-r«r-»^»,»r-
4"
o lA
o o o o • I
o
>fl v) O -J-J n II o
m
u. o a
ÜJ
z
♦
o 3
m o 4- I • •* — O 4«
»o m 3 O ft ^ 4- -*^ ~ <0 I 1-4 * •-•
a <r 3 8^
1-2 Z ^
in o o o o • I
m -^ 4--< 0 — mi
♦ * • —*
C4 — 4-1 -» • 1 >-•
4 4 <o
o 4 *
-> O Z 4in * -« + «M <-•">•-• a z»- ii a
z o
4 4
u. u. u. »HZ — •-• II Z<^0 M -) w OO
4
»
4
o 4
OUJ o iu 43 Q3
z zz (Mü 43
Z o »^
H il-)wOO Z-Z-"- z <-<U.U.-)«ü.O-JOOU.OII »oo Z»-»-«ZZ»-»ZZOf-»»-iU^->OU
o o a o z z N II "> w
10 Ui >
< > •Ml
a
UI
3
u
uu u
o»-» r<-4 04 «n m 4 m <o o 4444444 4 4 4 4 >0<0«00«0<00 "Ä <ö
in m
UJ 3 -> Z N
^8 O _J u z
4
a »- 3
-> a • »-
(M 3 « <
•-• K- 11
Ov *"■» 4 ►-•
4 »- 3
O < Q »-
a — _i — 3 — •«f l~ ►- 3 I <
— »- >- +
a -• _i — 3 _) < 3 t- < K t- Ui ^ II 3 K «^ Z
u u u
3 3 Z < < o »- ►- u
4 o 4
0. — _l <-i 3 — < >- t~ Q I 3 - Q -> V
a. -> ■-
3 (Si I- < M 3 i- M <
J H- M O B ^ 4- —
»-4 O i"^ ^» ft^ %^ 3 10 < o a i- o ui
215
r»h>r^roror-«ooofl»oooocQa:<Dcosok<h<ho«OkO«(>(h(hOkOOoooooooo>H^l-ir4*4<-i
co<Q««)oi><Q(»<o«a>«e«a>«oa>o««fl9<OA(O<oao<scofloa»flOco<o<o<o«o9flOo>co0tta>co
a: oc UJ Ul *~ t- z z. 3 3
«» o o ■-» yj u rH z z 1 bl UJ
* 1-4
*» «tf «o UJ *• D ■^ < < •^ < «^ s X «# t- * >- * * X 3
->• CO ^* -»^ «Q. tH tm ÜJ Ul — Ui 1 «• > > >- + - M< 3 ►t
QÄ>- •-» 1 1- 1- 3«Q D r«a m < < o — >. "» 1 f- fVI * 13 o "V^ • X — a: * UJ Ul -~>0 rj O ^i < — • ^^ i Z z -3 "% a ♦ a «o 4- »■.
«Z — Q « ♦ K- ra to * < < «.Q - • - -a: Q * >--"-• - D « < • + * I I Q + 1 M < — a -» X * u u 3-.« ■^ h- D 1 — f\* 1- * a: — a: — CM«-» — >- * + — rH oc * < <o ♦ < <<> Q - 3 • H- — — -< «NJ I m < UJ • Ul • ♦ >< rsi 3 r-i — 1- 1- •-• «» 1- oc CO CO K toeo — O K >v -~< + r-»a: a ^ 1- o o li. O b. -X ♦ >• i0>- •- 1 << >- tO «* a z QC Z ^ rg — O IO * *- ^•Q, a. o »« »— •"• N. ae O II K O II ü>0 ^ ♦ UJ — D — -' * > ►«• l-< -1 X LU -• m Ul I-I to a * i <» (£ M v >• * —o ^ ^ ^* f- t- a l-Q UJ •» M — a — + o — « 1 >- > 3 o: z < z <c
1 —' "*%.> — > v OQ * < »-I z a •-4 z a — ►-13 •^ X_l *-• o o :D — 3 X rH »- o z oz M - | O Q 3 - + V I ^ QQ • to V) < « to < « — «) — oa < o >■ — tn I ♦ * 1 %* ta4 1- CO •-• »- VO >-a ^ •f OH- Q O •^ h- — «• Mi * tO 3 «03 -IÜJ + ~ + — « v. ~ a — »--« »^ O X 2 3 D + « ^o:* ♦ -. 3 < > *-» «a^ tn X U) O UJ Z o UJ z < - w 1 N.— — ^ * a. i 33 * «* o «O Q r*- J I <- r- _i I - »-- 3 ft X •■* »4 I • v 'v o K« IA O ♦ out 1- < OUJ 1- < • w < ^# Q *^ •«* _ INJ >* >-< «>* «>* o W * -» •H oca o ODD O — D »- o a: 3 3 w | •-^ f* o 3 • ■•» •-» h- r-t o < (H o < «X ♦ Q Q >s V > - • > •» <M • 1 ■* ►4 «» • • H- CO Z t-« •1- lO z — X — •— — »^ •-. « M C<J W > > o *» — X O m z a« z rg ^)Z o«z «0 — <-« + ♦-«■--« • — ^v ♦ 1 1 o »^ * I- X Q f* f- LU — a: 3 a» r* uj — QJ 3 03 — + -. (M ~ — f^ >- r»j > CJ m o m ** -* OQ 3 • • X m 3 a rH • X «30: oc» « r-l ♦ O O ~ a * a t-i- • •• X »H X o o in U! MO rg <OUJ rHO DO: - 1*11 * 3 * v. a oc ox o -^ -IQ -f r- r-lh- 1- O -J » rHt* »- O -J i-a o i-i —ü: Q: •» o •« • < < mi- 3 1- * + -* ♦ —«•Hl-imrg + ~< »HX -J «n w *x w — •-• v. N. ►i — _«<vi a a. • a Q tO ^ «^ P4 #>. a. rg K • 00 •-• Of^ ü. rg t- • 00 ►-• O II • 1 a ~- • • «- V — H II II LU 0< »4 II 1-» «* «« • 3 1 JO «O 03 i o ~* • 3 1 iO «O CO 3 O -» r-t « 0 3^-« - 3 • 3 '- ~ —3 m»- 10 -J <-i - 3 M rg oa — — f-4 —. eg o a •» >» l-t <-• B i-t ft II H (1 >- II •-• 1 «-• ^^ ♦-* 2J ~«o CD 1 X - Mi >»-J3 ♦ >- UJ I-I v -J3 * KUJ w, -• ^. — fH(\J<nQ«0 H -> •- ** <«- »NH (^ « < ^ i^ iH H II I to n o ♦ UJ < X O ■a. to no* WOO >-«-•>■ «-• I-K i- N.I ^-»y-XKH-QX — -f ««• M ** *^ •» oa. j ♦ I- X i- 3 Q 0. »1 ♦ 1- X >- W- Q — oco; Q: • ac« — QQOZ ^ <«* r-l •-• i-l r4 HS"« l-l £V • w u 3— * «oc • Q.Oia<<<r»i<wi>3ioii.U. II li. II u. o w •« a. (/> o u. « Q:OQOü.IOOU.* £ o o o ujQQOaaa\CL>-QOQu I-« >^ •-« M «-4 ►4 QI3 !■« D J« * » Ü. Ul o i^ Q _) •-■ * 3 U. UJ C9
»H r-t I-« 4i iH * r-l O» <f\ O <t 't IT» O * 4n in iH (M * <ä <0 ■4- O (M N r- ♦ 1» r* r-r^ * r- ft O CO ♦ o * o en <-• .HI
u
216
4>f> ao<?>Oi-*oj(<\'#in<o^'0O«Oi-iN<n<^in<Oh-cootOt-«rgpt<*in<or<-oo(>o>-<cj(n<*miO
COS00O*0fl0<O<O<Ofl0«0*ÖC8<6<O<0<O<O€0«C>a)fl0SO«0fl0flDWCOW<J099<O«O0500<O<O0OcO(CWCO rk.r<.r»h>r»r>>r»r»r»f«r»r«>^>h>r>f«>r»r»>^ro|«>r»-h>r>-r»i^r^r»r»r<'r«-ro^r«ror«r«>r«>h>r»^
UJ i- < ft — o -> IO 3
-'^ -) K *^ v + o 3 X
1 ~ ■-4 Q£ X — 1 * — Q H- »-« 1 • «* 3 «O w m CM-) Q « X • w *-» — .J cc o * X 3
«» a I - -» v. -» V 3 * o -~ ä -»-> t- ä ♦ .H r^ « w -• U. •H — 1 1 - 3 H-O a* rH •-• «D-s z > 1 ~ < f- * -» >- 3 »3 3 z ^* -Q ♦ •-< — a uj a: rH D X — o
u < «^ * O ^* X UJ QC X UJ
H o
o I rH -«
a h- a. oc | PH — •-• ^* o • < + - 1 >- o — oc m UJ H- • w « Q x - on UJ z -1 rH o - v. o: 3 UJ -1 O
»-4 UJ o >s
X > ~ a ♦ — - 3
z U. Z «•* + — ^» -« >. ** o< rH a • — ^ i «^ **.
CO oc x m z CM M | « D <-< fM O a t~ • rH < V ^. ►» »- * 1 •-* co m •^ X - 3 M «■» taH • x UJ o • _j CM • O O < 1—• »«4 ^» m
CO X ^ Q »H (M -i «• oo XXI- 3 ^ 09 O o> D • M < 3 l- o ce ♦ O 3 1
-1 • »- 00 * X < I» ♦ ♦ ~ I * • o. • Ul en »-• OOI 1 »- • •v — •» rH a —.H _J
eo ai a -« z <-*c* D * 00 «» r-i ■«« t v to* a* 3 oo •- • O Q < —. h- «« «^ «^ •-« 1 -♦ • <
H- -• < UJ •■* «% »- CM K -) D >- - • o -« 00 f- >- — z I a: z (- • « • >— N. ♦ Q O iH £. fH f- 1 — — Q OC UJ — UJ UJ <M <M ^ 3 »* ÜL -I 1 x T o; i r- — ^ ^ ♦
rH »- s m »- Ui -J "SV Jl ♦ • -) ? - Q - o J: ~- -« «V ^ w w QC + « UJ OH. K a. X X < CM • W - * « Ot- + - >- — a. a K o: z i- oo X QO 31 -) V <v -« • o a m < 3 Q a -i H- io UJ 1 < rH _J o + + 1 ^^ > H l-l »M i»- :D 1 _!»- ♦ ■^^ ♦ h- 3 3 _l H- a; t- • TOO u h- X O • Ofc o i-a •^ II ü: - < a UJ UJ -~ r-l X 3 < < UJ
ujf- in ^ »o r- io o> OO Ul • o • <? * O. Ul «—>KOOX«-» UJ -—■ X O < »- f- Q o— »- w w (Q 0\ UJ -)Z Ul oo» a T »• OO D * * O u i- i 3 O »- O H. 1 1 H z ■ H « 1- < _l X UJ H z a: N <-• ^i m «^ ro n - - at « « Z m o l N n o: «ü; *-•« Ul < o ** 1 1 D 1—1 H ►-< N w «H H »« m •-••-• H >- < - »■« X o « « » XH HÜJ — * »- X Z K u. X X 0. H tS> 1- «> o «n •>. »- ^H » vO 1- o K 1- o X J 1- 10 ZK ♦ •-I Q; i-i o *■* *—► 1 Z X -IUJ «■H X •^ z OOOX-JUJXZO II X 3 .5 3 _l o»- u.« a: O o a: U.U. o OUJ x >^ X o «» O o ox - O UJ X cr: o o at o < < < UJ u»-» <-• * :» u. o: c? a « t-l U UOQKON.QOUQQO:-' OQ»- + UOOOl-r-k-Q
* r-i tH rH f\J r^
^ * <n m O 00 fH o o «M * IM O m c m m m
* O rH rH rH
u uu u vJ u u
217
h-ooo*o>-«cM(ri^u\<or-<oo>0'Hoj(f)^iA<or»aDo*Or-<ni(n^in<or>«o*Oi-i(M(n-«iA<or>a> ■nintft«0'0«o<o<0'0<04»4><or~r>r»f>r>»f>ror»r'»r»eo<Oflooo«coaa<DiDeootOkO«Ok»o>o*Ok9k
<O<OOCOCO<pCOO)<OeC<O<OOO(OCB90CO(O<OaO<OCOCOCO9(OO0OflD<OflOCOWCB<)9CDaOaOCBflO f>»r»-f»r»r»f»r«-r*r^i,-r»r-r*r-r»»*r»r»r-»,»'r-f»r^f»r*i-»»r-rfcr»r»'r*r-f>'r"t"r-f"r*r^t»rfc
3 < OH I- ÜJ
* UJ — X t-« K- «^ • X a Q i- 10 3 W5 UJ Ü _J _J • UJ —* CO •-* Q — m < »^ * CO • •>« w 3 • nj Q: > 1- ■♦ w4 < «k 3 rH UJ > •» < UJ »-« l- to t- ^« • H •-« z
>- 3 UJ a _J X UJ o
X > — 3 Q -J m z • Q ^ < a —t m UJ o. • • 1- X Q u. • Q. co «• r-l * Q I o <M UJ • »* it JB a i- Q: m a f-l *^ M <3 Q • a. * oo I II O * • X fNJ iH X m >-« * »• -~ m to m * o 0» «o r- tn «k 4-« 1-4 ►- • *-« (M 3t 0« 0» 0* o* 0*
~m *-* w co «o i ». .» fNJ UJ 0* 0* o* 0* —* 1* «0 ►-< • t- m « * z • o » • • •»• 3 a. _J * • N fM * f* moo* Mi • UJ «- r^ ae OJ >» — "04 a *^ o — ^ M —o> a
• _l —, * O UJ xo •-4 X X X < X *■* ^1 -• •> i-i -» • —. P"« M »- —» •■» ou. uj O J _J — UJ o f-t • <H «n • r-t r* — * ^ tO •-« *— I^I a: ii o • -f ~- w • a: * w o - 0* <i) — o* •-* m >• UJ t- > «» *«• — 3 tO — »- t- (M • »^ a o> a o» ■—o* oc o» — 0» Q _l « ■» K — 'OO oo — II X o 0>s Q MUJ -10» o -0* Q 10* * (O *» •» » Q «O OI <00 ^ _l-) -»x z + z • _i — ^ -J — _J < < O »-4 tNj I o oct o «OtO — o CO < tn •M X •- • i-t «- — • iH • — t- ** >H <H i-l a C4 Csl NX O K + 4 + (J h- 'i X 1 QC^ XI X -l Ui QC • •> •> * • • I • »n fviX H h- K-X X z + (D -J 1 — - 1 X < -Ö «0 vO -> <o «o r-- >o CM •m O O <*■ OQ 1—• X < •>* O CD CO • —OCDOO ai «-> O K > •» v «~ ^H ^* — «0 •«* >' «o— T ~) m r-l '•»r a. »-H-Ot-OD II <- OXCOH <wO<00 II N «» h- H — 1- X X + ;< Ui D M oc II H — -~»- a H—.-.*»>_oc)||_w-. < (- UJüJUi<liJUJ<üJ<UJ< 1 HO X * 1 u>< — (/)a OO H Q — CQQ: oo II Q -« II i co t- z t- t- H- ►-»-KZi-s:»-xx»->»-«jk-K a ujK«D«/)-J~x-ioo<-) — x_ia> — -j — UJ >-• N« M *-< UJ •-• «o: -• o: «es — O II o- UJ X </) « Ui «- a o ^ wj-^otO — — f-»«-3 X a: ae a: a: • a:a:Oo:OQ:ou.->ox TÜL •- •-« II a. K u. o a. u. QC rtU.Q0:u.X«-U.O K a. 31 ji 36
l-l leu. 3ru. 3U. •-• X O _l X«' to »- X -JO. « _J o •-• ja^-iQ-t-Ji«-«-!
m >o o rH eg <n ■* CM «* o «n o o* m o
o IM
o CM
o (M
m •A C4 o ^« N O* O •H M (-4
u u u u uu
218
0»o<-<(vm<riA<or«'eDOkO»H(M(n4'm4>r»«eOkO>4C4(n'#iA<or»cQ9>0'-«<V(n<tf'in<or«-flBO» 0>OOOOOOOOOO'Hr4i^i>4^>4«4r4f-|p4M4MN(^(M<MM4MMCMl«>««tfn(nmmm!«)|f|<n
UJ -I
u. o tt a 3E UJ Z
«0
00 Ov ^
• 0> o> • I» o
—.O CO
l-l • ■*» »H «•• l-l • DO» -■* Q0> r-10» J ><> • — -J — Xfi • <-• — I X J 03-* -- < CO O 00 00 K» M < — ■ 3 —»- ^ _JO «O N > >-_l — "_! Q -• i»l •-• «» DU. >-U- O«-« _i > <-•
o« ^- o
a O o -^
O
<
UJ
uj a -i ♦ DO OJ < ♦ a: at < ♦ > —
2 D Ul * Q — Z -> UJ w CL D UJ z Q X I * K «•
-J UJ — >o O X z Q:
o H V)
CO 00 o o
CO o
o • MOO • o
oo * o —
NO
oS
a
TV —
it — I z
a ♦ 4- X «. CO w -. OI
a
>- <M Ox DOI O* '
« i
^«D I I
D » li O
D- Z
N — M -
•f»
■A
• <»
♦ -I ♦ -
«• •
♦ •-• oo r- o^ l -
UJ v OJ tO f» I/) ra UJ • oc
rg a H II
OU. o«
o CO o
u. -
o oo oo
•*■■• o *»• D OI
<*> «0 o
-.*. u. DH •«
D O X X
UJ o> D M z - o I- t- z o a
ae o »- — < ~ — « ,0 U^tncn-*—.^ — "• IHOIHO^OM tn fM <o O •>o*kO*p*>o«*>o«*ot*o» z ^ o <o o^> o <0 ch <o o« <o (h o (h
a ui o UJ OUJ o UJ o UJ OUJ o UJ o QC l-4*4MM 1-4 M« (^
o:oo:OQ:oa.'OQ:oo:oQ:o xo»aso»oxu)3toaia UJ
CO o
<n 4 oo r4 O »H
in o «n ^ m w> Ch o* o» »» ©>
uuu u uu u
21^
Ortoi«n4'in«roao(hOrirMm-4>tf\<or»aoo»OF4N<t^iA<or«ooOkO>-iM<n4'in<or»a»(AOf-i
tniÄiAiAiAiniAinmintnmiAinu>ininiAinti\i(\ininmmi(\iniAiAtAiAtAmininiAminmii>iAin »-l-l-»-»-»-»-»-»-»-l-H-»->-l-«-l-»-l->-»-»-»-t-l-»-l-l-»-»-l-K»->-»-l-»-l-l-l-l-»-
CQaOCO8><D(0cOOOCOCOCOCp(OaO<D(O<OCOlO0COflOCOCOCOncO<DtQ<O<O4OCO<PCOO<OflO4O8><O<D
3 < <
X a Q
X Q
O
>-
X > — • cm
— • *
ti o »<
UJ * a
•» UJ — -I > «-• • UL - O -. a
>- a -j
x > -^ < • Q ^ •-•
— • 5^ K 00 -»••-.
II l-t
1»
— 11
- 3 »O ÜJ • Q. _J —UJ
O
UJ a:
I—< W M Q
— O O— — —X 0« O r-lO^tMO OrH
<-■ II UJOUJOUJUJUJUJ — (XOUJ K.|-HH-h-l-HI-<0»-t- •-* *4 i-^ I-* *«••-« J— QC •—« Qfoaiooicifuiaujaoa: XOat03t3t3E3 • UJ o at
w < X a i Q
>-
(M 1-4 iH •> •
UJ UJ — (— t- <
a: a: UJ 32 •
X Q
Ul
< UJ a: u ui o
o o
o o
o o — -f en >- I QC
>- I- OC Z I- H z >- — oc u. *-
UJ
u. o o: a.
r«J o o
X i-« o • • m > o ac o
z
X <
o o
ui
o
UJ a:
OC W UN. 10 »- < II (/) X • UJ -•
a »- t-'H UJO OK _J a OCOONZUHM» p >-ll",)X'-«X«0QtU. O w>XX_Sh-QQ3lM _J
UJ > > »0 «/) UI X DC
4-a.
.-e U) _1 UJ « a
a.
> X o
OUJO n > H Xü)X aocQ ü. it a
o o «M
9» r- oo <>
O 0* o» o o
o o o
o o
f\j «n o o oo
UI > iH
UJ> > H V) — 10 tH 11 '» to >
N -' >—i UJ
> 4-40 03 O II
o - 03
u u o u u u
220
oj <n ■» IT, <o r* «o «o <o CD oo o « CO in «ft «f» in «n IA in I-1- i- ►•»- h- t- ^ ^4 rH r-l >-l fH >-• Ofl» CO (OCB « O r» r* ^ t" r* !»• t-
CO co us o o o
— > >
3 O UJLU Z X >> K o: Ui 9> W tfl M n D eg XI- z H H M, » IM O — -"- — »-•- «—3 OZ Q XIO o z XK X OCU O UJ
•♦ o o
221
REFERENCES
1. Hanks, R. A.: and Savage, R. T,: Thermal Design Methods for Recoverable Launch Vehicles with Consideration of Arbitrary Wall Temperature and Surface Conditions. NASA CR-74714, August 1965.
2. Nagel, A. L.: Fit/simmons, H. D.; and Doyle, L. B.: Analysis of Hypersonic Pressure and Heat Transfer Tests on Delta Wings with Laminar and Turbulent Boundary Layers, NASA CR-535, August 1966.
3. Thomas, A. C.: Perlbachs, A.; and Nagel, A. L.: Advanced Reentry Systems Heat Transfer Manual for Hypersonic Flight, AFFDL-TR-65-195, Air Force Flight Dynamics Laboratory, Wright-Patterson Air Force Base, Ohio, January 1966.
4. Hansen, C. F.: Approximations for the Thermodynamic and Transport Properties of High Temperature Air, NACA TN-4150, March 1958.
5. Hilsenrath, J.: and Beckett, C. W.: Thermodynamic Properties of Argon-Free Air (0.78S47 N^ 0-21153 O2) to 15,000 °K, NBS Report No. 3991, July 1955.
6. Feldman, S.: Hypersonic Gas Dynamic Charts for Equilibrium Air, AVCO Research Report No. 40, January 1957.
7. Logan, J.; and Treanor, C: Tables of Thermodynamic Properties of Air from 3,000 to 10,000 "K. Cornell Aeronautical Laboratory, Inc., January 1957.
8. Ames Research Staff: Equations, Tables, and Charts for Compressible Flow, NACA Report 1135, 1953. " ~
222
JJNCTASRIFTF.n riU ( 1.. vsij i, .ili-'H
DOCUMENT CONTROL DATA - R&D tirttv l.i-.-ilu .,tv.n -I ml.-, U.tiv .'! .ihslrHt t .«n.J phliJunK .n.ij.taüon muvt *>«■ rnlrr-d vvlu-n t!i>- i>v<*r.Jl rf^ort is < lusst(i»,'i>.
1. ORIGIN*! IMG ACTIVITY l(\,rIN.r.Hi- ..ulii.irP
The Boeing Company P. O. Box SF^S Aerospace Group Seattle, Washington Space Division—Kent Facility 98124
2.i REPOIT SECURITY CLASSIFICATION
UNCLASSIFIED 2h. GROUP
3. REPC- : riTLE
INVESTIGATION OF TURBULENT HEAT TRANSFER AT HYPERSONIC SPEEDS Volume III. The Luminar-Turbulent prMr Momentum Integral and Turbulent Ncnsimilar Boundary Layer Computer Programs
4. DESCRIPTIVE NOTES iTvr'-> "' '<T"'t ami imlusivc dm.-M
Final Report. March 1965 to March 1967 5. AUTHORS iKirsr ram-. raiH.ll.- inilial, I.1-.1 nann-
Savage. Ricru rd T. Jaeck, Carl L. Mitchell. James R.
8. REPORT DATE
December 1967 7 i TOTAL NO. OF PAGES
222 71.. NO. OF REFS
8a. CONTRACT OR GRANT NO.
AF33(615)-2372
Project No. 1366
Task No. 136607 ^BPSN 5(61136-62405334)
9^.. OR1 JINATOR'S REPORT NUMBERS
D2-113531-3
9li. OTHER REPORT NO(Sl (Am othrr numbers iVuit may hi- assign.-.I
AFFDL-TR-67-i44! Volume III 10. DISTRIBUTION STATEMENT
This document has been approved for public release and sale; its distribution is unlimited.
11. SUPPLEMENTARY NOTES 12. SPONSORING MILITARY ACTI "T-
Air Force Flight Dynamics Laboratory A;r Force Systems Command Wright-Pattp.rsnn Air Fornp. foifiP, Ohin 4fi4a?
13. ABSTRACT
This report presents a combined analytical and experimental investigation of turbulent heat transfer on basic and composite configurations at hypersonic speeds. The analytical results are presented in Volume I, the experimental results, including data-theory comparisons, are presented in Volume II, and computer programs incorporating the analytical methods described herein are presented in Volume III of this report.
The two heat-transfer prediction methods programmed are the laminar-turbulept Pj.^,. momentum integral method and the turbulent nonsimilar method. This volume of the report describes the numerical method and presents flow charts, program listings, input forms, and a description of the output for each program. The programs are written in Fortran IV language for operation on the IBM 7094.
FORM DD 1 NOV es 1473
U3 4802 1030 REV 7/66
UNCLASSIFIED S. . urit-, fUissili
UNCLASSIFIED
*£> *CSDS L'^r £
N'onsimilar Boundary Layer
Momentun Integral
Aerodynamic Heating
Laminar Flow
Turbulent Flow
DDINOV651473 U 3 4802 1030 REV 1 ftft
P A R T 2 O F i
JINCLASSIZIEIL SecunlA Cliissifu .ill
top related