to - dtic · (12 percent thick), naca 65^-012, and naca 0012. the aspect ratio for each wing was...

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UNCLASSIFIED AD NUMBER CLASSIFICATION CHANGES TO: FROM: LIMITATION CHANGES TO: FROM: AUTHORITY THIS PAGE IS UNCLASSIFIED ADA801242 unclassified restricted Approved for public release; distribution is unlimited. Distribution authorized to DoD only; Administrative/Operational Use; 04 MAR 1949. Other requests shall be referred to National Aeronautics and Space Administration, Washington, DC. Pre-dates formal DoD distribution statements. Treat as DoD only. 24 Apr 1952 per NASA TR Server website; NASA TR Server website

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Page 1: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

UNCLASSIFIED

AD NUMBER

CLASSIFICATION CHANGESTO:FROM:

LIMITATION CHANGESTO:

FROM:

AUTHORITY

THIS PAGE IS UNCLASSIFIED

ADA801242

unclassified

restricted

Approved for public release; distribution isunlimited.

Distribution authorized to DoD only;Administrative/Operational Use; 04 MAR 1949.Other requests shall be referred to NationalAeronautics and Space Administration,Washington, DC. Pre-dates formal DoDdistribution statements. Treat as DoD only.

24 Apr 1952 per NASA TR Server website; NASA TRServer website

Page 2: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

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Page 3: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

Reproduced by Ifl;

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Page 4: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on
Page 5: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

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Copy No. RM No. L8L3ia

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•^TO PY RESTRICTED RESEARCH MEMORANDUM

EFFECT OF AIRFOIL PROFILE OF SYMMETRICAL SECTIONS ON THE

LOW-SPEED ROLLING DERIVATIVES OF 45° SWEPTBACK-WING

MODELS OF ASPECT RATIO 2.61

By

William Letko and Jack D. Brewer

Langley Aeronautical Laboratory Langley Air Force Base, Va.

RETURN TO Oocun.?n< Branch • TSRWF-6

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c<$0$® «£ asnwisn sitei nauosai t#e*sns»'cm uie Tanned States within the meaning of the Espionage Act, U9C 90:31 and 32. Ha transmission or the revelation of ltl contents in any manner to an unarihorised person In prohibited by law. Information so classified may be imparted

only to persons in the military and naval services of the United State*, appropriate civilian officers and employees of the Federal Government who have a legitimate Interest therein, and to United States citizens of known loyalty and discration who of necessity must be informed thereof.

NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS

WASHINGTON March 4, 1949

RESTRICTED

Page 6: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

NACA HM No. L6*L3la RESTRICTED

NATIONAL ADVISORY COMMITTEE FOR AEROITAUTICS

RESEARCH MEMORANDUM

EFFECT OF AIRFOIL PROFILE OF SYMMETRICAL SECTIONS ON THE

LOW-SPEED ROLLING DERIVATIVES OF 1*5° SWEPTBACK-WING

MODELS OF ASPECT RATIO 2.61

By William Letko and Jack D. Brewer

SUMMARY

An Investigation was made in the Langley stability tunnel to deter- mine the effect of airfoil profile of symmetrical sections on the rolling derivatives of three untapered wings having ^5° sweepback. The wings had the following profiles normal to the leading edge: hiconvex (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61.

Calculations were made to determine the effect of different wing profiles on the stability "boundaries and motions at subsonic speeds of a typical transonic airplane configuration..

Results of the tests Indicate that increasing the sharpness of the leading edge of the airfoil decreased che range of lift coefficients over which the derivatives maintained their initial trends and usually decreased the maximum values of the derivatives obtained in the unstailed range.

In general, the effect on the derivatives of adding a leading-edge spoiler to the inboard half of the NACA 0012 wing appeared to "be equivalent to increasing the sharpness of the entire leading edge to some value between that of the LACA 0012 wing profile and the NACA 65j-012 wine profile.

Results of the calculations of the dynamic stability of a typical transonic airplane configuration showed that at 0.2 lift coefficient, changes in airfoil profile had only a email effect on the oscillatory and spiral stability "boundaries of a typical transonic airplane configuration.. At higher lift coefficients (0.5 and 0.8), increases in the sharpnesB of the leading edge usually caused a stabilizing shift of "both the oscillatory and spiral stability boundaries. The stabilizing shift in the spiral stability boundary was more than compensated for, however, by the changes in effective dihedral of the airplane wings. An increased sharpness of the leading edge therefore caused an increased tendency toward spiral instability, particularly at the higher lift coefficients.

RESTRICTED

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NACA HM No. L6L3la

INTRODUCTION

Estimation of dynamic flight characteristics of aircraft requires a knowledge of the forces and moments resulting from the angular motions of the airplane. The relationship between the forces and moments and the angular motions are coumonly expressed In nondlmenslonal terms known as the rotary derivatives. In the past, these derivatives have generally "been estimated from theory "because of the lack of a convenient experimental technique.

The recent application of the rolling-flow and curved-flow principles of the Langley stability tunnel (reference's 1 and 2), however, has made the determination of the rotary derivatives relatively simple. A systematic research program utilizing these new experimental techniques has been established to determine the effects of various geometric variables on rotary and static stability characteristics.

The present investigation was made to determine the effects of air- foil profile of symmetrical sections on the low-speed static stability and rolling characteristics of sweptback wings. One wing, having a blunt leading edge, (NACA 0012 airfoil section) was tested with and without a leading-edge spoiler extending from the plane of symmetry to the 50-percent semi span point of each wing panel to determine whether there might be an advantage In a wing having a section varying from sharp nose at the wing root to round nose at the wing tip. Results of tests to determine the static- and yawing-stability derivatives of the wings used In the present investigation are reported in reference 3.

Motions and stability boundaries, calculated by using the stability derivatives obtained from the data of this paper and from those of inferences 2 to k, are also Included in this paper. These results are presented to show the effect of changes of the wing section on the stability characteristics at subsonic speeds of a typical transonic airplane config- uration such as that of references 2 and k.

SYMBOIS

The results of the tests are presented as standard NACA coefficients of forces and moments which are referred to the stability axes with the origin at the quarter-chord point of the mean aerodynamic chord of the models tested. The positive directions of the forces, moments, and angular displacements are shown in figure 1. The system of axes and angular rela- tionships used in calculating the stability boundaries and motions are shown In figure 2.

Page 8: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

NACA HM No. L&^la

P

q

S

b

A

c

The coefficients and symbols used herein are defined as follows:

free-stream velocity (also, velocity of airplane), feet per second

airplane sideslip velocity (positive sideslip to the right), feet per second

mess density of air, slugs per cubic foot

dynamic pressure, pounds per square foot (=pV^

wing area, square feet

wing span, measured perpendicular to plane of symmetry, feet

aspect ratio fi>2/s)

chord of wing measured parallel to axis of symmetry, feet fb/2

mean aerodynamic chord, feet | — / c2dy

kZ,

distance of quarter-chord point of any ohordwise section from leading edge of root section, feet

distance of quarter chord of mean aerodynamic chord from leading ,»*/2

edge of root chord, feet

spanwlse distance measured perpendicular to axis of symmetry, feet

weight of airplane, pounds

mass, slugs (w/g)

acceleration due to gravity, feet per second per second

relative-density factor (m/pSh)

radius of gyration about principal longitudinal axis, feet

radius of gyration about principal vertical axis, feet

Page 9: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

HACA BM No. L&L3la

*Z

*XZ

CD

ex

or ci

Cm

Cn

L

X

Y

L'

M

N

a

nondimensional radius of gyration about longitudinal stability

axis (T—I cos2!) + \\>J m sin2n nondimensional radius of gyration about vertical stability axis

3> ^ ($(^f-* + (Sf sin2!)

nondimensional produot-of-inertia parameter

lift coefficient (L/qS)

drag coefficient (-Cx for t = 0°)

longitudinal-foroe coefficient (X/qS)

laterrl-force coefficient (Y/qS)

rolling-moment coefficient (L'/qSto)

pltchlng-moment coefficient (M/qS5)

yavlng-mcment coefficient (U/qSb)

lift, pounds

longitudinal force, pounds

lateral force, pounds

rolling moment about X-axis, foot-pounds

pitching moment about Y-axis, foot-pounds

yawing moment about Z-axls, foot-pounds

angle of attack, measured in plane of symmetry (alBo angle between reference axis and flight-path axis), degrees

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NACA BM No. L8L3la 5

^ angle of yaw, degrees

A angle of sweepback, degrees

3 angle of sideslip, radians, /tan"1 Z]

T) angle of attack of principal longitudinal axis of airplane, positive when principal axis Is above flight path, degrees (see fig. 2)

y angle of flight path with respect to horizontal, positive when flight-path axis Is above horizontal axis, degrees (see fig. 2)

e angle between reference axis and principal axis, positive when reference axis is above principal axis, degrees (see fig. 2)

t time, seconds

R South's discriminant

E£ wing-tip helix angle, radians 2V ^^'

p rolling angular velocity, radians per second

21 yawing-velocity parameter

yawing angular velocity, radians per second

°Yp = oF~

c - n

oF

W

"ZP = W

C -** Yp 41 acn

Page 11: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

NACA EM No. L8L3la

%

dC'i

°Yr dCy

°»r ^n

^

c, , •** ,r ^5 APPARATUS AND TEST

The present investigation was conducted in the 6-foot circular test section of the Langley stability tunnel. This section is equipped with a motor-driven rotor vhlch imparts a tvist to the air stream so that a model mounted in the tunnel is in a field of flow similar to that vhlch exists about an airplane in rolling flight (reference 1).

The models tested consisted of three untapered wings of 45° sweepback and aspect ratio 2.61. The models had the following profiles in planes normal to the leading edge: biconvex (12 percent thick), NACA 65^-022, and NACA 0012. The plan form of the models and the three profiles are shown in figure 3. Also shown in figure 3 is the semi span leading-edge spoiler which, for some tests, was mounted on the wing with the NACA 0012 section.

All tests were made with the model mounted rigidly at the quarter- chord point of the mean aerodynamic chord on a single-strut support as shown in figure 4. The forces and moments were measured by means of electrical strain gages contained in the strut. The dynamic pressure at which the tests were made was approximately 39-7 pounds per square foot which corresponds to a Mach number of O.17. The Reynolds number based on the mean aerodynamic chord of the models was 1,400,000.

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NACA 194 No. L8L31&

The models were tested through an angle-of-attack range from about -2° angle of attack up to and beyond the angle of maximum lift in straight flow at 0° angle of yaw and in rolling flow at values of ph/SY of ±0.021 and +0.062. In straight flow, six-component measurements were made, whereas only measurements of lateral force, yawing moment, and rolling moment were obtained in rolling flow.

CORRECTIONS

Approximate corrections, similar to those of reference 5, based on unswept-wing theory, for the effects of jet boundaries have been applied to the angle of attack, the longitudinal-force coefficient, and the rolling-moment coefficient. Corrections for blocking or turbulence have not been applied to the results.

RESULTS AND DISCUSSION

Characteristics in Straight Flow

The lift, longitudinal-force, and pitching-moment characteristics as measured in straight flow are presented in figure 5. These results are about the same as those of reference 3 which were obtained at a dynamic pressure of 2^.9 pounds per square foot. As was pointed out in reference 3, the lowest lift-curve elope at low lift coefficients was obtained with the biconvex section; and the highest maximum lift was obtained with the NACA 0012 wing equipped witL the Inboard leading- edge spoiler. Effectively increasing the sharpness of the leading edge reduced the rearward shift of the aerodynamic center with lift coefficient.

Characteristics in Rolling Flow

As can be seen from figure 6, increasing the sharpness of the leading edge decreased the maximum positive value of Cy and decreased

the range of lift coefficients over which the variation of Cy with

lift coefficient remained linear. The values of C-, at low and. medium

lift coefficients are small and negative and are little affected by air- foil profile. However, increasing the sharpness of the leading edge of the airfoil decreased the maximum negative values of C_ and decreased

TP

Page 13: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

8 NACA KM. No. L8L3la

the lift coefficient at which the values of Cjw became positive. For

certain airplane configurations having a high vertical tail, it night he possible that Cn would he positive throughout the lift coefficient

range, which would, he of importance from the viewpoint of stability and control. The biconvex wing had the lowest value of C, at low lift

coefficients. This might be expected since the biconvex wing has the lowest lift-curve slope at low lift coefficients. As with Cy and C ,

p T? increasing the sharpness of the leading edge of the wing decreased the lift coefficient at which large changes generally occurred in the initial trends of the variation of C, with lift coefficient.

In general, the effect on the derivatives, especially oh Cy and C_ ,

of adding the leading-edge spoiler to the NACA 0012 airfoil appeared to be equivalent to increasing effectively the sharpness of the leading edge to some value between that of the NACA 0012 airfoil and that of the NACA 65^012 airfoil.

CL* Drag Increment, CD — -r—

It was pointed out in reference 3 that the increment of drag that is 2\

not associated with lift (Cp —=_ J could be used to indicate the lift

coefficient at which separation begins to take place on plain wings. It was shown that large changes in certain aerodynamic characteristics may occur at the lift coefficient at which this drag increment begins to rise.

CL2 A plot of C-Q -_. against lift coefficient for the wings tested is

presented in figure 7- It can be seen by comparing this figure with figure 6 that abrupt changes in the initial trends of 0y_, Cn , and C7

P P 4p generally do occur at approximately the same lift coefficient at which the drag Increment begins to increase. This lift coefficient Is about 0.6 for the NACA 0012 wing, about OA for the NACA 651-012 wing, and 0.3 for the "biconvex wing. Ordinarily, changes In the drag increment can be expected to be useful only for predicting changes in the character- istics of plain wings. However, the increase in the drag increment for the wing with the inboard nose spoiler occurs at about 0.1| lift coefficient, at which lift coefficient the aerodynamic characteristics also change

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KACA RM No. L8L3la 9

abruptly. As was pointed out in reference 3, the relationship betveen the drag increment and the extent of linearity of the stability derivatives might serve as a basis for making certain qualitative estimates of the effects of Reynolds number on the stability derivatives when only the lift and drag variations with Reynolds number have been determined.

Stability Boundaries and Motions

Computations vere made to determine the changes in the stability boundaries and in the motions of an airplane caused by changes in the stability derivatives resulting from using wings of different profile. The geometric and mass characteristics of the airplane remained the same in each case, and the stability derivatives of the airplane differed only by the different contribution of the wing profile used in combination with the airplane.

The airplane configuration used, shown in figure 8, is simlliar to the model used in references 2 and k and the contribution of the fuselage and tail to the stability derivatives was obtained from the data of these references. The contributions of the different wings to the stability derivatives were obtained from results of the present tests and from tests of reference 3. The mass characteristics assumed were those of a typical transonic airplane.

The stability derivatives and mass characteristics used in the computations are given in tables I and II. The boundaries and motions were calculated by means of the equations listed In reference 6.

In figure 9 Are presented the oscillatory and spiral stability boundaries as functions of Cno and C, for the three airplanes which

differ only in wing profile. From the figure, it can be seen that the effect of airplane wing profile on both the oscillatory and spiral stability boundaries is comparatively small at a lift coefficient of 0.2. At the higher lift coefficients there are much larger effects of airfoil section on both boundaries. At lift coefficients of 0.5 and 0.8 there is a stabilizing shift of the spiral stability boundary as the sharpness of the leading edge is increased. At 0.5 lift coefficient there is a large stabilizing Bhift in the oscillatory boundary when changing from the KACA 0012 wing to either of the other sections which have sharper leading edges. There is little difference, however, in the oscillatory boundaries obtained for the NACA 651-012 and the biconvex wings. At 0.8 lift coefficient there is a progressive stabilizing shift of the oscilla- tory stability boundary as well as the spiral stability boundary as the sharpness of the leading edge is increased.

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10 NACA HM No. L8L31a

The stability boundaries are presented In figure 10 with a point to show the position of the particular airplane configuration with reeiject to the boundaries. At a lift coefficient of 0.2 oscillatory Instability is indicated for all the airplane configurations. The large stabilizing shift of the oscillatory boundaries resulting from a change of lift coefficient from 0.2 to 0.5 Is mainly caused by the change In TJ, the inclination of the principal longitudinal axis with respect to the flight path, from about -3° at 0.2 lift coefficient to about 2.5° at 0.5 lift coefficient. Reference 6 indicates that the Inclination of the principal longitudinal axis above the flight path generally causes a stabilizing shift of the oscillatory boundary while an inclination below the flight path results in a destabilizing shift of the oscillatory boundary. At a lift coefficient of 0.5 all the airplane configurations fall in the stable region. As the sharpness of the leading edge of the wing Increases, the position of the airplane becomes closer to the spiral stability boundary. At a lift coefficient of 0.8, there is a shift in position of the airplane into the spiral divergence region with an Increase In sharpness of the wing leading edge; the airplane with NACA 0012 wing falls in the stable region, the airplane with the NACA- 6^-012 wing falls in the spiral divergence

region near the spiral stability boundary, and the airplane with the wing of biconvex section falls well in the spiral divergence region. It should be noted that although increases in the sharpness of the leading edge of the wings generally affect the derivatives in such a way as to cause a stabilizing shift in the stability boundaries, there Is at the same time a detrimental effect on Cj from the standpoint of spiral

stability.

The motions in bank and sideslip due to a small initial angle of sideslip for each of the airplane configurations is shown in figure 11 for a lilt coefficient of 0.8. The* motions are presented as angles of sideslip or bank, relative to the initial sideslip angle, and should be reliable provided the sideslip angle does not exceed that at which the derivatives become nonlinear. The airplane with the biconvex section shows extreme spiral divergence, the angle of sideslip increasing and the airplane banking rapidly In the direction of sideslip to excessive values of both sideslip and bank. The airplane with the NACA 65,-012

wing is slightly spirally unstable, banking to only a small angle in the first second, but the amplitude of the oscillation increases with time. Slight spiral Instability Is not considered serious from the standpoint of control.

The airplane with the NACA 0012 wing falls in the stable region of the stability diagram (as can be seen in fig. 10) and the motion in bank and sideslip is stable. Although the motion In bank is stable, the air- plane attains a relatively high angle of bank in the first second end a

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NACA RM No. L8L3la 11

half. In about four and a half seconds, the amplitude decreases to less than one-quarter of the maximum value.

It should he mentioned that the derivatives used in calculating the "boundaries and motions are those obtained from teats at low Reynolds numbers. Although airfoil section effects similar to those described would still occur at a higher Reynolds number they might not be important at as low lift coefficients, since, at higher Reynolds numbers, the derivatives obtained for the wings might continue their initial linear trends to higher lift coefficients. This would alter considerably <.ie boundaries and motions at 0.8 lift coefficient and would probably cause an appreciable change in the boundaries and motions for 0.5 lift coefficient. Calculations (not presented) of the boundaries were made using straight-line extrapo- lations of the data for the NACA 0012 wing for a lift coefficient of 0.8. The results showed a stabilizing shift of the oscillatory boundary and a destabilizing shift of the spiral stability boundary. The position of the airplane with the NACA 0012 wing was shifted up and to the right in the stability diagram (&lQ becoming more negative and 0• more positive)

and it appears that similar extrapolations of the curves for the NACA 65--012

and biconvex wings would at least give negative values of C, and might

shift the airplanes having these wing sections into the stable region (even though there might be a concurrent destabilizing shift of the spiral boundary).

CONCLUSIONS

The results of low-scale tests made to determine the effect of air- foil profile of synnnetrica"1 sections on the low-speed rolling stability derivatives of untapered U50 sweptback-wlng models of aspect ratio 2.61, and the results of calculations made to determine the effect on the dynamic stability at subsonic speeds of a transonic airplane configuration using the different wing profiles Indicate the following conclusions:

1. Increasing the sharpness of the leading edge of the airfoil decreased the range of lift coefficients over which the rolling deriva- tives maintained their initial trends and usually decreased the maximum values of the derivatives obtained in the unstalled range.

2. In general, the effect on the rolling derivatives of adding an inboard leading-edge spoiler to the NACA 0012 airfoil appeared to be equivalent to increasing effectively the sharpness of the entire leading edge to some value between that of the NACA 0012 section and that of the NACA 65,-012 section.

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12 NACA EM No. L8L3la

3. Changes in. airfoil Beet ion had only a small effect on the oscillatory and spiral stability "boundaries of a typical transonic air- plane configuration at 0.2 lift coefficient. At higher lift coefficients (0.5 and 0.8) increases in leading-edge sharpness usually caused a stabi- lizing shift in "both the oscillatory and spiral stability "boundaries. The stabilizing shift in the spiral stability boundary was more than compensated for, however, by the changes in effective dihedral of the wi:.igs. An increased sharpness of the leading edge, therefore, caused an increased tendency toward spiral instability, particularly at the higher lift coefficients.

Langley Aeronautical Laboratory National Advisory Committee for Aeronautics

Langley Air Force Base, Va.

REFERENCES

1. MacLachlan, Hobert, and Letko, William: Correlation of Two Experimental Methods of Determining the Rolling Characteristics of Unswept Wings. NACA TN No. 1309, I9V7.

2. Bird, John D., Jaquet, Byron M., and Cowan, John: Effect of Fuselage and Tail Surfaces on Low-Speed Yawing Characteristics of a Swept-Wing Model as Determined in Curved-Flow Test Section of Langley Stability Tunnel. NACA RM No. L8GI3, 19^8.

3. Letko, William, and Jaquot, Byron M.: Effect of Airfoil Profile of Symmetrical Sections on the Low-Speed Static-Stability and Yawing Derivatives of 1*5° Sweptback Wing Models of Aspect Ratio 2.6l. NACA RM No. L8H1X), 19^8.

'+. Bird, John D., Lichtenstein, Jacob H., and Jaquet, Byron M., Investi- gation of the Influence of Fuselage and Tail Surfaces on Low-Speed Static Stability and Rolling Characteristics of a Swept-Wing Model. NACA RM No. L7H15, 19^7.

5. Feigenbaum, David, and Goodman, Alex: Preliminary Investigation at Low Speeds of Swept Wings in Rolling Flow. NACA RM No. L7EO9, 19^7-

6. Sternfield, Leonard: Effect of Product of Inertia on Lateral Stability. NACA TN No. 1193, 19^7.

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NACA EM No. L8L31a 13

TABLE I

GEOMETRIC AND MASS CHARACTERISTICS

USED IN STABILITY CALCULATIONS

CL 0.2 0,5 0.8

11250 11250 11250

352 352 352

30 .k 30 .k 30 A

0.001266 0.001266 o.ooi£66

»*99 316 250

25-8 25.8 25.8

2.875 2.875 2.875 x0'

9.391 9.391 9.391

K2 0.00918 0.00913 0.01051*

K2 0,0951^ 0.09523 0.09385

K 2 -0.00U70 0.00395 0.01163

3.88 9.65 lU .82

a - 7 a - 7 a - 7

0 0 0

Page 19: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

Ik NACA EM No. L8L31&

3

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NACA BM No. L8L31a 15

<ftftf77Vif

/jetATIVM WiN»

Figure 1.— System of axes used. Positive directions of forces, moments, and angles are indicated.

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16 NACA KM No. L&31a

Pnnc/pot a/is Reference ar/s

X^gght/wM

Horizon +r>[ ax,*

Figure 2.— System of axes and angular relationships used in calculations of stability "boundaries and motions, TJ = a — e.

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HACA RM No. L8L31a 17

Nose 5po//er

Phne of sect/ons

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•/Vose spoi/er NACA OOlZ

Figure 3.- Sketch of the plan form and airfoil profiles of the models investigated. All dimensions are in inches. Wing area equals 3.56 square feet.

Page 23: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

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Page 24: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

NACA BM No. L&31a 21

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Page 25: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

22 NACA EM No. L6L31&

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the wings tested.

Page 26: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

HACA HM No. L6L31a 23

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coefficient for the wings tested.

Page 27: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

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Page 28: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

NACABM No. L8L31a 25

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Page 29: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

26 NACA EM No. L6L31a

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Page 30: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

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Page 31: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

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Page 32: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

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Page 33: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

Reproduced by Ifl;

CCnTfifl L AIR DOCOIllEflTS OfflCf WRIGHT-PATTERSON AIR FORCE BASE- DAYTON.OHIO

feVi

IREEL-C

IT. I

j.;i .''1/'

6

r HUE Mil!1-1'' 1

i,1 si

P •''

m

MffllifflNir 1 n

IS ABSOLVED

FROM ANY LITIGATION WHICH MAY ENSUE FROM ANY

INFRINGEMENT ON DOMESTIC OR FOREIGN PATENT RIGHTS

WHICH MAY BE INVOLVED.

P I'.';!

RESTRICTED 11 m % r 'fell

mSECM WM

Page 34: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

ATI-71 142

National Advisory Committee for Aeronautics, I. Letko, William Langley Aeronautical Lab., Langley Air Force Base, n. Brewer, Jack D. Va, (Report No. L8L31a)

EFFECT OF AIRFOIL PROFILE OF SYMMETRICAL SECTIONS ON THE LOW-SPEED ROLLING DERIVA- TIVES OF 45" SWEPT-BACK-WING MODELS OF ASPECT RATIO 2.61 (NACA RM), by William Letko and Jack D. Brewer. 4 March 1M9, 27 pp.

UNCLASSIFIED

(Not abstracted)

•fcaa (hf> can) b»( »«*T*d !<• p«poa«. U «ay DIVISION: Aerodynamics (2) 1 SECTION: Airfoils (6) i, 7 Mdwan*' fo •^rortmcr «ith AFfc JCJ-I. Am,

DISTRIBUTION: U.S. Military Organisations request •«*. MO-J « OPKA"- U»*. SSI-L

copies from ASTIA-DSC. Others route requests to MRS SmCES TEHWCAi. *F0»*TI0S KEKT

ASTIA-QSC thru NACA. ^^ OOCMOTSOmCE CUTU

Page 35: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

ATI-71 142

Hatlonal Advisory Committee for Aeronautics, Langley Aeronautical Lab., Langley Air Force Base, Va, (Report No. L8L31a)

EFFECT OF AKFOSL PROFILE OF STOJMETmiCAL SECTJONS ON TEE LOW-SPEED ROLLING DEMVA- TWES OF 45° SWEPT-BACK-WING MODELS OP ASPECT HATED 2.81 (NACA BBS), by William hs'Sst and Sack D. Bs-ener. 4 March IMP, 2? pp.

!JNCIaASS3I7£S5

^TUVA.

(Not abstracted)

AsFofiyaaiaica (2) ii.Tf/i SECTION: AfWolls (C) 7 | / 0

.DZSTMBOTEOJI: DA DflilUas^ Qs-gaafcatloES wsqusst copies from ASTIA-B3C. Others rm&e retjus3ts to ASTEA-X^C tteu WACA.

I. Letiio, William C Brewer, JacU D.

t^ca ifcla ccsd bus oc*ved lio pcpooc it ccy

Ceo- SCO-) ci OPWAV ICJU. 151-1.

CTJB GGEES 13C2KI CTOITKn (SOT KacET SICES onrcn

Page 36: TO - DTIC · (12 percent thick), NACA 65^-012, and NACA 0012. The aspect ratio for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on

RESTRICTED TITLE: Effect of Airfoil Profile of Symmetrical Sections on the Low-Speed Rolling Deriva

tives of 45° Sweptback Wing Models of Aspect Radio 2.61

ATI- 49759 ' MVIIION

(None) AUTHOR(S] : Letko, W.; Brewer, J. D. ORIS. AGENCY : Langley Aeronautical Lab., Langley Air Force Base, Va. PUBLISHED BY : National Advisory Committee for Aeronautics, Washington, D. C.

0&I6. AGENCY NO. (None)

MIBUSHINO AOENCY NO.

(None) DAT!

March'49 DOC CLASS.

Restr. COUNttrr

U.S. 1ANGUAOS

English PACCS

27 niimtAnoM

Dhotos. tables. eraDh ABSTRACT:

An investigation was made in the Langley stability tunnel to determine the effect of airfoile profile of symmetrical sections on the rolling derivatives of three untapered wings having 45° sweep- back. The wings had the following profiles normal to the leading edge: viconvex (12% thick), NACA 65J-012, and NACA 0012. The AR for each wing was 2.61. Calculations were made to determine the effect of different wing profiles on the stability boundaries and motions at sub- sonic speeds of a typical transonic airplane configuration. Results indicate that increasing the sharpness of the leading edge of the airfoil decreased the range of lift coefficients over which the derivatives maintained their initial trends and usually decreased the maximum values of the derivatives obtained in the unstalled range. Results of the calculations of the dynamic stability of the airplane configuration show only small changes in stability due to changes in airfoil profile.

DISTRIBUTION: SPECIAL. All requests for copies must be addressed to: Publ. Agency. (5J_ DIVISION: Aerodynamics (2) SECTION: wings and Airfoils (6)

ATI SHEET NO.: R-2-6-145

SUBJECT HEADINGS: Wings, Swept-back - Rolling moment (99306.75); Wings - Profile drag - Determination (99175); Airfoils - Aerodynamics (07710)

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