design of aeration device for mcphee dam spillway … · ·1.,j ' 1 ' ;t when calibrated...

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HYDRAULICS BRANCH OFFICIAL FILE COPY

BUREAU OF RECLAMATION HYDRAULICS BRANCH

OFFICE FILE COPY When Borrowed Return Promptl y

DESIGN OF AERATION DEVICE

FOR McPHEE DAM SPILLWAY

BY

CLIFFORD A. PUGH

( < I I t

Ponn OFC·ll (12-el.) Bure"u or Recl&m&tloo

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INFORMATIONAL ROUTING

I ,---------Denver, Colcrado ~--------

June 14, 1~84

t1: er::orandum

Chief, Concrete Dams Branch ,---------

Chief, Hyc!raul ics Branch 1 ,-- - ---·---1 r-- ---- - -- .

Head, Hydraulic Structures Section I 1-------

Design of Aeration Device for McPhee Dam Spilh;ay l---- ------1

An- -inspection of the McPhee Dam spillway in June 1983 indicated aerah-on--~...-."""'.---· devices should be installed in the chute floor to prevent cavitation damage. =·; (See travel report dated July 18. 1933.) At that time, two aeration devices \·1ere tested in the 1:36 scale model of the McPhee· spillway. The two devices aPoss2320

were located at Sta. 13+99 and Sta. 15+94. Subsequently, additional analysis · of the spillway indicated that one aeration device located at Sta. 15+29 would provide adequate aeration to prevent cavitation damage.

The aeration consists of a ramp at a 6.4° angle with .the chute floor. The · ramp at Sta. 15+29 is 3.0 feet high and 25.5 feet long. The ramp design was chosen because adequate freeboard is available in the chute and a &lot in tne chute floor would not be required. A slot would require cutting into the chute floor destroying the continuity of the steel reinforcement. Access ports are cut into the side walls at the downstream end of the ramp and towers placed on the outside of the v-rnll. Figure 1 shows the configuration of the aeration device.

The aeration device location is determined by the cavitation potential and the geometry of the spillway. T!1e cavitation potential is determined by analysis with a computer program by Falvey (HFHS). The computer program indicated that the major cavitation potential is in the lower part of the chute. Figure 2 shows tt1e conputed cavitation coefficients (sigma) in the lower part of the chute. The aeration device is usually placed where the sigma value drops below 0.2.

o = sigma = (Po-Pv)/( PV2;z)

where Po= water pressure Pv = vapor pressure V = v1ater velocity p = l!Jater density

The potential for cavitation damage is dependent on several factors including sigma, condition of the spillway surface, and the water velocity. Fa1vey 1 s progrcm takes t hese factors into account to devel op a parameter called damage potential (OP). The damage potential is multiplied by the log of the cumulative time of operation in hours to obtain a damage index (DI}.

01 =DP* log time (hours)

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When calibrated with actual damage occurrence, the damage index is an indicator of when to expect cavitation damage for a given offset. Data from tunnel spillways indicate that minor damage would be expected for a DI of 5,000 and major damage for a DI of 10,000. Table 1 shows time of operation to incur minor and major damage for a 1-inch circular arc offset using these values of DI. The time does not include operation at other flows. Other sizes or shapes of offset initiating the damage would have different times for damage to occur.

The aeration ramp was located above the point where damage would be expected. The ramp angle was chosen to throw the jet as far downstream as possible to fully aerate the flow in the lower part of the chute while maintaining adequate freeboard on the chute walls (to allow for bulking). The cavitation coefficient drops as the flow travels over the last vertical curve; therefore, the ramp was placed in the first panel above the start of the curve. The exact location of the ramp was determined by the location of the panel.

Figures 3 through 9 show the piezometric pressure profiles measured along the center of the chute and the jet trajectory over the ramp. The cavity length measured under the jet varied from 50 feet at Q = 5,000 ft3/s to 86 feet at

. ~ - - the design discharge. A higher pressure point occurs where the jet strikes the chute floor. The flow profiles and pressures for this ramp configuration are acceptable. The minimum freeboard is about 5 feet (measured 25 feet

· r ~ downstream from the ramp fig. 9). This is adequate to contain the bulking because the flow depth is 5.4 feet and the flow would not be fully aerated at this location.

Air demand was measured in the model for various flows. Figure 10 shows the demand measured in the model and also the theoretical air demand (computed with a program by Falvey, HFTRAJ). The measured air demand was three to five times less than the calculated demand. This is consistent with results obtained by Pinto from the model study of Foz do Areia chute spillway in South America. Model measurements in small models were considerably less than prototype air demand.

Additional turbulence was induced in the McPhee model (as suggested by Pinto) by placing 16 gage wire mesh screen (8 squares per inch) - 6 inches long - on the ramp about 2 inches upstream from the end of the ramp. This screen was rough enough to increase the turbulence on the bottom of the flow nappe, where the air is entrained, yet not large enough to significantly increase the flow depth. The air demand in the model increased by 40 to 100 percent (fig. 10). However, the calculated air demand was still considerably higher. Therefore, the calculated air demand was used to size the air vents. Two 4- by 4-foot air vents - one on each side of the chute -are recommended to maintain the air velocity below 300 ft/s for all flows. The maximum air velocity with 3- by 4- foot vents is 350 ft/sat the design flow. Smaller air vents will suppress the airflow, cause the jet length to reduce, and produce very high noise levels at the intake. Because the area near the vent intakes is accessible by the public, higher air velocities should be avoided.

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When turbulence is induced on the ramp, the jet throw distances are reduced. Figures 11-17 are the piezometric pressure profiles along the center of the chute with induced turbulence. The cavity length under the jet varies from 32 feet at Q = 5,000 ft3/s to 59 feet at Q = 33,130 ft3/s. These distances are about one-third less than the distances measured without induced turbulence. The profiles are similar to those without induced turbulence. As the air demand increases, the jet throw distance is reduced due to the increased pressure differential across the jet.

Appendix I is the computer printout of HFWS showing hydraulic and cavitation parameters for the McPhee spillway with flows ranging from 5,000 to 33,130 ft3/s.

Attachments

Copy to: 0-1530 0-1530A D-1531 0-1532

[....'0-1531 (PAP file) (with attachments to each)

3

ThomaS J. Rhone

---. ... Table 1. - McPhee spillway potential for cavitation damage ...

Summa·ry of computer program results --June 1984

Time to minor damage Time to major damage Station h (days) }j h (days) }j

Q (ft3/s)

5,000 15+29 * * 17+00 * * 17+63 * *

10,000 15+29 * * 17+00 * * 17+63 8,650 (360) *

15,000 15+29 * * 17+00 946 (39) * 17+63 106 (4) *

20,000 15+29 * * 17+00 163 (7) * 17+63 28 792 (33)

25,000 15+29 * * 17+00 71 (3) 5,055 (211) 17+63 16 260 ( 11)

33,130 15+29 6,658 ( 273) * 17+00 22 464 (19) 17+63 8 73 (3)

* No damage _!/ Results for a 1-inch circular arc offset.

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MCPHEE DAM SPILLUAV

Q • 5000,0 CFS INITIAL DEPTH• 2.00 FT RUGOSITV • ,001000 FT N • ,0119

ENERGV DEPTH THICKNESS STATION INVERT ELEV SLOPE DEPTH VELOCITY PIEZ . GRADE LINE 0 AIR/Q WATER PROFILE NORMAL CRITICAL BOUNDARV LAVER

FT FT FT FT/SEC FT FT FT FT FT

966 . 0 6896,86 .1100 2.000 '44.643 1,988 6929,795 0.000 S2 1,605 6.49S .003 970.0 6896.10 .1900 1,982 '45.054 1.947 6929.567 0.000 S2 1. 354 6,520 ,061 988.9 6889.00 ,37'49 1.816 '49.16'4 t. 701 6928.236 0.000 52 1,108 6.625 .261

1015.5 6884.25 .1788 1.645 50.657 1.619 6925.798 0.000 52 1.319 6 . 223 .'488 1100.0 6874.96 .1099 1.619 51.488 1.609 6918.096 0.000 S2 1,S3'4 6.202 1 .076 1135.0 6870.70 .1217 1.610 51. 772 .632 691"1.792 0.000 S2 1. ,'486 6 .117 1.309 1155.0 6865.60 .2S50 1,571 53.060 .556 6912.762 0.000 52 1.184 6.169 1. 441 1200.0 6848.00 .3911 1.424 58.500 1.327 6906,9'12 0 . 000 S2 1,048 6.339 1. 42'4 1300.0 6808.00 ,'4000 1.230 67.767 1.142 6887,582 0.000 52 1. 0"11 6.345 1.230 1355,0 6786.00 .4000 1.176 70.883 1.690 6873.511 0.000 52 1. 041 6.385 1 .1 76 1400,0 6772,60 .2978 1.163 71.634 1 ,11 5 6861.36'4 0.000 52 1,132 6.279 1.163 1529.0 6734, 18 .2978 1.148 72.566 1.101 6825,224 0.000 52 1.132 6.279 1 .1 48 1574.8 6718,12 ,3508 1.131 73.685 .742 6811.602 0.000 S2 1 . 080 6.291 1 .131 1629,8 6696.44 ,3942 1.107 75 .292 .7]1 6793.999 0.000 S2 1,046 6.323 1,107 1700.0 6663.50 .4691 1.067 78.099 .966 6768.650 0.000 S2 .998 6,399 1.067 1763,0 6632.00 .5000 1.037 80,333 ,928 6743.157 0.000 52 .982 6.425 l.037

ENERGV GRADE LINE AT BEGINNING OF BOUNDARY LAVER 6929.795

1 MCPHEE DAM SPILLWAY

0 • 5000.0 CFS INITIAL DEPTH• 2.00 FT RUCOSITV . .001000 FT N • .0119

CAVITATION CHARACTERISTICS

DAMAGE POTENTIAL SIGMA OF REQUIRED CIRCULAR ARC 90-DEGREE OFFSET

STATION FLOW UNIFORM CHAMFER TO 1/4-IN l/2-IN 1-rn 1/4-IN 1/2- IN 1-IN SIGMA ROUGHNESS STOP CAVITATION 5-MM 10-MN 25-l'lM 5-MM 10-MM 25-r!M

966.00 ,900 . 053 1 TO ] .327E-01 .829[+00 ,366E+01 , 112E+02 .371E+02 ,114E+03 970.00 .883 .053 1 TO 3 ,100E-01 .803E-01 .101E+01 .695E+00 .345E+01 .126E+02 988,94 .735 ,054 1 TO 4 ,100E-01 .303E+00 .182E+01 ,497E+00 ,270E+01 .102E+02

1015.50 ,690 .055 1 TO 4 ,100[-01 .373E+00 .207[+01 .360E+00 .218E+01 .8'45E+01 1100.00 ,668 .0s5 1 TO 5 , 100[-01 .295E+00 .179E+01 .112E+00 . 121E+01 .518[+01 1135,00 ,637 .056 1 TO 5 .100E-01 .365[+00 ,196E+01 , 129[+00 , 120[+01 .505[+01 1155.00 .605 ,056 1 TO 5 ,100E-01 .556[+00 .261E+01 .216[+00 .154[+01 .619[+01

I 1200.00 .513 .057 1 TO 7 ,·411E+00 ,21 9[+01 ,795E+01 ,111E+01 .'485[+01 , 170E+02 1300.00 .380 ,0S8 1 1'0 10 .401E+01 .136[+02 ,415E+02 ,804£+01 ,271E+02 .8'43[+02 1355.00 ,355 .059 1 TO 11 .665E+01 .216[+02 ,647E+02 ,130E+02 .... 26E+02 .131[+0]

I - 1400,00 .340 .059 1 TO 11 .787[+01 .251[+02 .744[+02 . 153[+02 .492£+02 ,150E+03 1529.00 .332 ,059 1 TO 12 .910E+01 .287[+02 ,847E+02 .176E+02 .562E+02 .170[+03

I 1574.78 .318 .059 1 TO 12 . ,111[+02 .346[+02 ,101E+03 ,213E+02 . 672[+02 .202£+03 I 1629.78 .304 ,060 1 TO 13 ,142E+02 .43'1E+02 ,12GE+03 ,269£+02 .84 1[+02 .251[+03 i 1700.00 .286 .060 1 TO 14 ,209E+02 . 628[+02 ,180E+03 .393E+02 .121E+03 .358E+03

1763.00 ,270 ,061 1 TO 16 .28'4[+02 .841£+02 .239£+03 ,530E+02 ,162E+03 .-47'4E+03

' ' ,.

l

~. '

STATION

FT

966.0 970.0 988,9

1015,5 1100.0 1135. 0 1155,0 1200.0 1300.0 1355.0 1-400, 0 1529,0 1574.8 1629,8 1700.0 1763,0

INVERT ELEV

FT

6896.86 6896.10 6889.00 688 ... 25 687'4,96 6870,70 6865.60 68 .. 8,00 6808,00 6786,00 6772.60 6734,18 6718,12 6696.4'4 6663.50 6632,00

STATION

966,00 970.00 988,94

1015.50 1100.00 1135. 00 1155. 00 1200,00 1300,00 1355.00 1'100.00 1529.00 1574.78 1629.78 1700,00 1763,00

Q •

SLOPE

.1100 ,1900 .37"9 ,1788 , 1099 .1217 .2550 .3911 .4000 ... 000 .2978 ,2978 ,3508 ,39"2 ... 691 .5000

Q •

FLOU SIGMA

1.070 1.038

,816 .736 .6 .. 2 .5 .. 5 .505 ... 39 ,311 ,30 .. .273 .2 .. 5 ,226 .214 ,201 .188

. . ' . . '' ,

MCPHEE DAM SPILLUAV ------------------------------------------------------------

10000.0 CFS INITIAL DEPTH • 4.20 FT RUGOSITV • .001000 FT N . .0124

ENERGY DEPTH THICKNESS DEPTH UELOCITV PIEZ GRADE LINE 0 AIR.tO WATER PROFILE NORMAL CRITICAL BOUIIDARV LAVER

FT FT.tSEC FT FT FT FT FT

4,200 42.517 4,175 6929.105 0.000 S2 2.503 10.309 . 003 4,144 43.097 4.071 6929.011 0,000 52 2.107 10.349 . 062 3,710 48.128 3,474 6928.442 0.000 52 1. 721 10,515 .262 3.302 50,'182 3.250 6927.091 0.000 52 2,050 9.876 .'190 3.091 53.912 3.073 6923.26'4 0.000 52 2,389 9.846 1,072 2,961 56.287 ,90"1 6921, 393 0.000 52 2.313 9.627 1.301 2.858 58.311 .740 6920.157 0.000 52 1.839 9.713 1. '431 2,585 64,464 2,-408 6916,554 0,000 52 1.625 10.062 1. 716 2,188 76.187 2.031 690 ... 134 0.000 52 1,615 10.072 2. 188 2,118 78,709 3,295 6895.111 0.000 52 1,615 10,170 2,118 2,052 81.209 1,967 6887,213 0.000 S2 1,757 9.964 2,052 1,9-46 85,6"2 1.865 6861.32-4 0.000 52 1,757 9.967 1,946 1,898 87.801 1.017 6850.811 0.000 S2 1,676 9 ,967 1,898 1.845 90.353 ,999 6836,878 0.000 S2 1,622 10,019 1,8-45 1,770 9-4.138 1,603 6816 ... 71 0,000 52 1,548 10.158 1,770 1. 711 97,419 1.530 6795.632 0,000 52 1.522 10.199 1. 711

ENERGY GRADE LINE AT BEGINNING OF BOUNDARY LAVER 6929,105

MCPHEE DAM SPILLWAY ------------------------------------------------------------

10000.0 CFS INITIAL DEPTH• ·l.20 FT RUGOSITV . .001000 FT N . .012 ..


DAMAGE POTENTIAL SJGl'IA OF REQUIRED CIRCULAR ARC 90-DEGREE OFFSET UNIFORM CHAMFER TO 1.1"-IN 1/2-IN 1-IN 1.t'1-IN 1/2-IN 1-IN

ROUGHNESS STOP CAVITATION 5-l'IM 10-Ml'l 25-Mt1 5-111'1 10-MM 25-l'lM

.0 .. 7 1 TO 3 .100E-01 , 156E+00 , 1"9E+01 .5 .. 2E+01 .195E+02 .628£+02 ,0"7 1 TO 3 .100£-01 , 100E-01 .272£+00 ,13 .. E+00 .152E+01 .654E+01 ,048 l TO .. ,100E-01 .627£-01 .106E+01 .186E+00 .167£+01 .700E+0t .0 .. 9 1 TO .. ,100E-01 ,217E+00 .16-4£+01 .206E+00 .173(+01 ,717E+01 .0 .. 9 1 TO 5 ,100£-01 ,563£+00 .286E+01 ,262E+00 ,19 .. E+01 .785E+01 ,050 1 TO 6 .205E+00 ,1-42(+01 .5 .. 6E+01 .732E+00 ,348E+01 ,125E+02 .050 1 TO 7 ... 38E+00 .22 .. (+01 .803£+01 , 115£+01 ... 91E+01 ,171£+02 ,051 1 TO 8 , 158E+01 ,620E+01 .203£+02 ,302£+01 .11 .. (+02 .375E+02 ,052 1 TO 13 ,117E+02 .365Et02 ,107E+03 ,168(+02 ,5-42E+02 ,165£+03 .053 1 TO 13 , 156£+02 ... 81£+02 .1 .. 0£+03 ,223E+02 ,715E+02 ,216£+03 .053 1 TO 15 .2 .. 0E+02 .719E+02 .206E+03 ,341E+02 .106E+03 .316E+93 .053 1 TO 18 ... 27E+02 .125E+03 .352E+03 .605E+0?. .18-4E+03 .5 .. 0E+03 ,05'4 1 TO 20 ,583E+02 ,'168E+03 .'469£+03 .822E+02 ,2'47£+03 ,718£+03 ,05'4 1 TO 22 .785£+02 ,22~E+03 ,622£+03 ,111(+03 .329£+03 .953£+03 ,05'4 1 TO 23 .116[+03 .328E+03 .905[+03 .163E+03 ,482£+03 .139E+04 ,055 1 TO 26 • 165[+03 ... 62(+03 ,127[+0 .. .232£+03 ,679E+03 .19'4[+04

• 1

' ,, • • I

1

STATION

FT

966.0 970.0 988.9

1015.5 1100.0 1135.0 1155.0 1200.0 1300.0 1355.0 1"00. 0 1529.0 157'4,8 1629.8 1700.0 1763.0

1

INVERT ELEV

FT

6896.86 6896 .10 6889.00 688'4,25 687"1.96 6870.70 6865.60 6848.00 6808.00 6786.00 6772.60 6734,18 6718.12 6696.H 6663.50 6632.00

STATION

966.00 970.00 988.9'4

1015,50 1100.00 1135.00 1155.00 1200.00 1300.00 1355.00 1'400.00 1529,00 157'4,78 1629.78 1700,00 1763.00

Q •

SLOPE

.1Hl0 ,1900 .37'49 .1788 .1099 ,1217 ,2550 .3911 .-4000 .4000 .2978 .2978 ,3508 .39'42 .'4691 ,5000

Q •

FLOW SIGMA

1.215 1.171

.887 ,787 ,663 .532 .'488 .-43'4 ,297 .289 ,259 ,227 ,206 .193 ,182 ,168

,, '

. MCPHEE DAI'! SPILLUAY

------------------------------------------------------------13300.0 CFS INITIAL DEPTH• 5,80 FT RUGOSITY • .001000 FT H • .0127

ENERGY DEPTH THICKNESS DEPTH VELOCITY PIEZ GRADE LINE Q AIR/0 WATER PROFILE NORMAL CRITICAL BOUHDARY LAYER

FT FT/SEC FT FT FT FT FT

5.800 '40.9'48 5.765 6928,662 0.000 52 3.010 12.'468 .003 5,707 '41. 616 S.607 6928.599 0.000 52 2.531 12,517 .062 5.0'40 '47.127 '4.719 6928.207 0.000 52 2.065 12.719 .263 -4.'45-4 '49,771 '4,384 6927.110 0.000 52 2.'462 11,9'46 ,'492 '4.107 53.971 '4.083 6924.329 0.000 52 2,872 11.905 1.074 J.877 57,169 1.114 6922.911 0.000 52 2.780 11,587 1.302 3.730 59."132 .885 6921.951 0.000 52 2.208 11.693 1.'131 3.37-4 65.69"1 3.1'42 6919.1'4'4 0.000 52 1.950 12,169 1. 716 2.817 78.692 2.615 6909.257 0.000 52 1,937 12.181 2.283 2. 700 82.111 '4.293 6901.860 0.000 52 1.937 12.326 2.582 2.632 8'4.226 2.522 6895.357 0.000 52 . 2.108 12.052 2,632 2.472 89.67'4 2.369 6873.902 0.000 52 2.108 12.051 2.'472 2."100 92 .362 1.182 6865.01'4 0.000 52 2.010 12. 041 2,400 2,323 95 .-412 1, 15'4 6853.08'4 0.000 52 1. 945 12.105 2,323 2.222 99.739 2.012 6835.'428 0.000 52 1,856 12.285 2.222 2.1'40 103.593 1.91" . 6817.215 0.000 52 1,826 12,335 2.140

ENERGY GRADE LINE AT BEGINNING OF BOUNDARY LAYER 6928,662


13300,0 CFS INITIAL DEPTH• 5.80 FT RUGOSITY . .001000 FT Ii • ,0127


DAMAGE POTENTIAL SIGMA OF REQUIRED CIRCULAR ARC 90-DEGREE OFFSET UH IF ORM CHAMFER TO 1/4-IN 1/2-IN 1-IH 1/4-IN 1/2-IN 1-IN

ROUGHNESS STOP CAVITATIOH 5-MM 10-MM 25-l'lM 5-MM 10-l'IM 25-Ml'l

.0'45 1 TO 2 ,100E-01 .100E-01 .602£+00 .292£+01 , 116E+02 .392E+02

.0'45 1 TO 2 .1 00£-01 .100E-01 .100E-01 ,100E-01 .672£+00 .374E+01 ,0-46 1 TO 3 .100E-01 ,100£-01 .591E+00 ,616£-02 .103£+01 .-493E+01 .0'46 1 TO .. .100E-01 ,625E-01 ,114E+01 .559E- 01 • t22EHH .555E+01 ,0'47 1 TO 5 , 100E-01 .'169£+00 ,262E+01 .192£+00 ,176E+01 .736E+01 .0'47 1 TO 6 .283£+00 .172£+01 .6'45E+01 .90'4£+00 .-410[+01 .1-46E+02 .0'48 1 TO 7 .60'1E+00 .282£+01 .985£+01 .1"7£+01 ,603£+01 .206E+02 .0-48 1 TO 8 .190£+01 .732[+01 .238£+02 .357£+01 , 133E+02 .'436E+02 ,050 1 TO 14 .158E+02 .487E+02 .1-42[+03 ,220E+02 .701[+02 ,212£+03 ,050 1 TO 1 '4 ,216E+02 ,660£+02 .191£+03 ,280E+02 .891[+02 .268E+03 ,051 1 TO 17 .312E+02 .929E+02 ,26-4E+03 ,396E+02 ,123£+03 .36'4£+03 ,051 1 TO 20 .61'4E+02 .178E+03 .-497E+03 ,777E+02 ,235E+03 .686£+03 .051 1 TO 23 .890E+02 ',254£+03 .702£+03 ,112E+03 .335E+03 ,968£+03 ,052 1 TO 25 .12'4E+03 ,351E+03 .966E+03 ,157E+03 .-46-4£+03 .t33E+0-4 .052 1 TO 27 ,187E+03 ,52'4[+03 ,H3EHH .236E+03 ,693£+03 ,198E+0-4 ,053 1 TO 30 ,275E+03 ,76-4£+03 ,208EHH .3-47£+03 ,101E+0'4 .288E+04

.

.

' ..

1

1

• 1

STATION

FT

966.0 970.0 988.9

1015.5 1100,0 1135.0 1155,0 1200.0 1300.0 1355.0 1400.0 1529.0 157"4. 8 1629,8 1700.0 1763,0

Q •

INVERT ELEV SLOPE

FT

6896.86 , 1100 6896 .10 ,1900 6889.00 .37"49 688-4.25 .1788 6874.96 ,1099 6870.70 ,1217 6865.60 .2550 6848.00 • 3911 6808.00 .4000 6786.00 ,'4000 6772.60 ,2978 6734,18 .2978 6718.12 .3508 6696.'44 .3942 6663.50 .'4691 6632,00 ,5000

0 •

STATION FLOU SIGMA

966.00 1.268 970.00 1,218 988,9'4 .911

1015.50 .804 1100.00 ,670 1135.00 .52'4 1155.00 ,480 1200.00 .432 1300.00 ,293 1355.00 ,285 1-400.00 ,251 1529.00 .221 1574.78 .199 1629.78 ;186 1700.00 .176 1763.00 .162

f • J j t. .. "

MCPHEE DAM SPILLUAV ------------------------------------------------------------

15000.0 CFS INITIAL DEPTH• 6,60 FT RUGOSITV • .001000 FT N • ,0128

ENERGY DEPTH THICKNESS DEPTH UELOCITV PIEZ GRADE LINE 0 AIR/0 I.JATER PROFILE NORMAL CRITICAL BOUriDARV LAVER

FT FT/SEC FT FT FT FT FT

6.600 "40.58-4 6.560 6928.996 0.000 52 3.256 13.510 .003 6."488 "41.286 6.37-4 6928,942 0.000 52 2.736 13.562 . 062 5.703 '46,971 5.3-40 6928.599 0.000 52 2.231 13,781 ,264 5,030 '49,706 -4.951 6927 .57-4 0.000 52 2.661 12,9H . "492 '4,618 5"4, 140 -4.590 6925. 108 0.000 52 3, 105 12,900 1,074 -4,33-4 57.678 1.195 6923,832 0.000 52 3.006 12,522 1,302 '4.166 60.011 .936 6922,962 0.000 52 2,385 12.6-40 1.431 3,775 66,226 3.516 6920,-423 0.000 S2 2,105 13,185 1.714 3,139 79,647 2 , 91'4 6911,-4"49 0.000 S2 2.092 13.198 2.280 2,996 83.458 -4.805 6904.666 0.000 52 2,092 13.368 2.579 2 .908 85.960 2,787 6898,629 0.000 52 2.277 13.058 2 .809 2,735 91. 407 2,621 6878,644 0.000 52 2.277 13,058 2,735 2,659 94.028 1,266 6870.399 0.000 52 2 .171 13.039 2.659 2,570 97.285 1,232 6859,330 0.000 S2 2 .101 13,110 2 . 570 2.455 101.841 2,222 6842.876 0.000 52 2.004 13,311 2.455 2.360 105.9'45 2 .111 6825.831 0.000 52 1.971 13,365 2,360

ENERGY GRADE LINE AT BEGINNING OF BOUNDARY LAVER 6928,996


15000.0 CFS INITIAL DEPTH • 6,60 FT RUGOSITV . .001000 FT N . .0128


DAMAGE POTENTIAL SIGMA OF REQUIRED CIRCULAR ARC 90-DEGREE OFFSET UNIFORl'I CHAMFER TO l/'4-IN l/2-IN 1-IN l/'4-lN l/2-IN 1-IN

ROUGHNESS STOP CAVITATION 5-MM 10-Ml'I 25-Ml'I 5-MM 10-MM 25-MM

.0H 1 TO 2 , 100E-01 ,100E-01 ,412£+00 .238E+01 ,99'4E+01 .3'42E+02 ,0H 1 TO 2 ,100E-01 .100E-01 ,100£-01 ,100E- 01 .487£+00 ,31'4E+01 .0'45 1 TO 3 .100£- 01 ,100E-01 .'485£+00 . 100£-01 .886£+00 . '449£ +01 .0'45 1 TO ... .100E-01 .231£-01 ,102E+01 .171£-01 .110£+01 .521E+01 .046 1 TO 5 .100£-01 ,4'49£+00 ,260E+01 .173E+00 ,173£+01 .735E+01 .0'46 1 TO 6 .339E+00 ,192E+01 .710E+01 , 102£+01 .'452E+01 .159E+02 .047 1 TO 7 ,707£+00 ,318£+01 .109E+02 .167E+01 .671£+01 ,227E+02 .048 1 TO 8 ,205E+01 ,783E+01 ,254£+02 ,382£+01 ,142E+02 • "46'4E+02 .0'49 1 TO 14 , 177E+02 .5-43£+02 .157£+03 .245£+02 • 778£+02 .234E+03 ,049 1 TO 1"4 .250E+02 .761E+02 .219E+03 .323£+02 .102£+03 .307£+03 ,050 1 TO 17 .373£+02 ,110£+03 ,312£+03 .'456£+02 ,141£+03 .416E•03 .050 1 TO 21 .712£+02 ,205£+03 .572£•03 .859E+02 .259E+e3 .755£•03 .050 1 TO 2'4 .102£+03 ,291E+03 .802£+03 .123E+03 .367£•03 .106£+04 .051 1 TO 26 .1 .. SE+03 .'409£+03 .112E+0'4 .t75E+03 ,516£+03 .148£+04 .051 1 TO 28 .220E+03 • 61'4£+03 .168£+0 .. .266E+03 .777£+03 .222£+04 .052 1 TO 32 .328E+03 ,909£+03 .247E+0'4 .397£+03 .11SE+04 .J28EHH

.. ' 1' (' I

1f f I

1

• I ',, , ., .. '

. . . l'ICPHEE DAM SPILL~AV

0 • 20000.0 CFS INITIAL DEPTH• 9.10 FT RUCOSITV • .001000 FT N • .0130

ENERGV DEPTH THICKNESS STATION INVERT ELEV SLOPE DEPTH VELOCITV

FT/SEC

39.2 ... 6 40.067 '46,322 49,297 5.,.,261 58,715 61.197 67 .165 81,479 85,992 89.405 96 .073 97. 644

PIEZ GRADE LINE O AIR/Q UATER PROFILE NORMAL CRITICAL BOUNDAR Y LAVER

FT

966.0 970.0 988.9

1015.5 1100.0 1135 .0 1155.0 1200.0 1300.0 1355.0 1 ... 00.0 1529.0 157 .... 8 1629.8 1700.0 1763.0

FT

6896.86 6896.10 6889.00 688'4.25 687 .... 96 6870.70 6865.60 6848.00 6808.00 6786.00 6772.60 6734 .18 6718.12 6696 ....... 6663.50 6632 .00

STATION

966.00 970.00 988.9 ...

1015,50 1100.00 1135.00 1155.00 1200.00 1300.00 1355.00 1"00.00 1529.00 157-4.78 1sa9,1a 1700.00 1763.00

.1100

.1900 • 37-49 .1788 .1099 .1217 .2550 .3911 .... 000 .... 000 .2978 .2978 .3508 .3942 • 4691 .5000

FT

9,100 8,91" 7.710 6.762 6, 1-43 5,677 5.-4-47 '4,963 '4,091 3.876 3.728 3.-470 3. -41-4 3.293 3,137 3.004

101.217 106,268 110.952

FT

9 . 045 8.757 7.219 6.656 6,106 1,427 1.077 -4.622 3.798 6.321 3.573 3.325 1.505 1.'456 2,8-40 2.687

FT

6929.823 6929.785 6929.538 6928.647 6926.809 6925,824 6925.137 6923.153 6916.115 6910,700 6905,762 6888.92:J 6882.016 6872.888 6859.231 68H,956

0.000 0.000 0.000 0.000 0.000 0,000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

52 52 52 52 52 52 52 52 52 52 52 52 52 52 52 52

FT

3,930 3,298 2.686 3,206 3. 7-45 3,62 ... 2,871 2,533 2.517 2.517 2. 7 ... 1 2, 7-41 2,612 2,528 2.-411 2.371

FT

16.362 16 ,426 16,695 15,681 15.629 15,07-4 15.21 ... 15.973 15.989 16.2'40 15,819 15.818 15,770 15.856 16 .125 16.190

FT

.003

.063

.26 ...

.493 1.075 1,302 1.-430 1. 713 2,276 2.573 2.802 3.415 3. '4 14 3 , 293 3, 137 3. 004

ENERGY GRADE LINE AT BEGINNING OF BOUNDARY LAYER 6929.823

l'ICPHEE DAI'\ 5PILLIJAY

0 • 20000,0 CFS INITIAL DEPTH• 9,10 FT RUGOSITV • .001000 FT N • ,0130

FLOIJ SIGl'\A

1,-460 1,389

,993 ,862 .700 .510 .46 ... ,-436 ,289 ,281 .238 ,205 .186 , 173 .16S .151

SICl'IA OF UNIFORl'I

ROUGHNESS

.0 ... 2 ,042 .0 ... 3 .043 ,0-4-4 .0 ... s .0 ... 5 .045 .047 .0 ... 7 .048 ,048 .0 ... 8 .049 .0-49 ,('49


REQUIRED CHAPlFER TO

STOP CAVITATION

1 TO 2 1 TO 2 1 TO 3 1 TO 3 1 TO 4 1 TO 7 1 TO 7 1 TO 8 1 TO 14 1 TO 15 1 TO 19 1 TO 23 1 TO 26 1 TO 29 1 TO 31 1 TO 35

CIRCULAR ARC l/4-IN l/2-IN

5-Ml'I 10-l'IM

,100E-01 .100E-01 , 100E-01 , 100E-01 ,100E-01 .-463E+00 .950E+00 ,222E+01 .215E+02 .318[+02 .538E+02 .t05E+03 ,136E+03 .196E+03 .299E+03 .... 62E+03

, 100E-01 .100E-01 .100E-01 .100£-01 .323E+00 ,238E+01 .... 00E+01 .852E+01 .656£+02 .962E+02 ,157E+03 1 301E+03 ,382E+03 .547E+03 .831E+03 ,128E+0'4

DAMAGE POTENTIAL 90-DECREE OFFSET

1-IN l/4-IN l/2- IN 25-Ml'I 5-M" 10- l'IM

.100E-01

.1 00£-01 ,181E+00 ,662E+00 .230E+01 .856E+01 .13SE+02 ,277E+02 .189E+03 .276E+03 .... -42£+03 ,833E+e,3 .105E+04 .149E+0-4 .226E+0-4 ,3 ... 5E+04

.102E+01 ,100E-01 ,100(- 01 ,100E-01 • 778E-01 ,128E+01 ,213E+01 • '412E+01 .295E+02 .406E+02 ,6-49E+02 ,115£+03 , H6E+03 .212£+03 .324[+03 .503E+03

.552E+01

.276E-01

.466E+00

.726E+00

.149£+01

.5-46£+01

.826£+01 ,15'4[+02 .932E+02 .128£+03 .198£+03 .343£+03 .'4J-4E+03 .622E+03 .9-47E+03 .H6E+0-4

1-IN 25-Ml'I

.208£+02 ,156E+01 .316£+01 .407£+01 . 673£+01 .189£+02 .276E+02 .50 ... [+02 .280£+03 .383£+03 .583£+03 .997E+03 .125£+0'4 ,178£+0-4 .270E+0'4 ,413£+9'4

. ~' \ ( J l .. ' '

•

. ~

STATION

FT

966.0 970.0 988.9

1015.5 1100.0 1135.0 1155.0 1200.0 1300.0 1355.0 1'400. 0 1529.0 157.ol.8 1629.8 1700.0 1763.0

Q • 25000.0 CFS

INVERT ELEV SLOPE

FT

6896.86 6896.10 6889.00 688.ol.25 6874.96 6870.70 6865.60 68.ol8 . 00 6808.00 6786,00 6772.60 6734.18 6718.12 6696.44 6663.50 6632.00

.1100

.1900

.3749

.1788

.1099

.1217

.2550 ,3911 ,4000 .4000 .2978 .2978 .3508 .3942 . ... 691 .5000

DEPTH

FT

12.000 11.683

9 . 860 8 . 589 7.727 7.031 6,736 6.173 5.05-4 -4.773 '4,559 4.211 4.109 3.976 3.813 3 . 650

I ' I .. I • <

"CPHEE DAM SPILLUAV

INITIAL DEPTH• 12.00 FT RUGOSITV • .001000 FT N • .0133

VELOCITY

FT/SEC

37.202 38.213 ,t5,279 48.511 53.925 59.258 61. 853 67.498 82.442 87.290 91. 388 98.952

101.395 104. 79-4 109 . 278 114.140

PIEZ

FT

11.928 11."77 9.232 8.455 7.681 1.677 1.230 5.749 .... 693 7.851 4.370 4.036 1. 713 1.660 3.452 3.265

ENERGV DEPTH GRADE LINE Q AIR/Q UATER PROFILE NORMAL CRITICAL

FT

6930.279 6930.252 6930.067 6929,250 6927, 809 6927.00 9 6926.4'40 6924 . 815 6919.047 6914.568 6910 . 425 6895.995 6889.945 6881.896 6870.051 6857 .793

0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000

52 52 52 52 52 52 52 52 52 52 52 52 52 52 S2 52

FT

4.553 3 . 817 3. 105 3 .707 4 . 336 4.195 3.319 2 . 926 2.908 2.907 3.167 3.167 3.018 2.920 2 . 78 4 2. 738

FT

18.990 19.064 19 . 371 18.191 18. 137 17. 388 17.555 18.530 18.554 18.892 18.357 18 . 356 18.275 18.378 18.711 18.787

THI CKliE5S BOUNDARY LAVER

FT

. 003

.063

.266 , 496

1 .078 1. 3 0 4 1.433 t . 715 2. 277 2, 573 2, 801 3. 410 3. 625 3. 881 3. 8 13 3. 650

ENERGY GRADE LI NE AT BEGINNING OF BOUNDARY LAVER 6930 . 279

MCPHEE DAM SPILLWAY

Q • 25000.0 CFS INITIAL DEPTH• 12.00 FT RUGOSITV • .001000 FT N • . 0 133

STATION

966.00 970.00 988.94

101S.50 1100. 00 1135.00 1155,00 1200.00 1300.00 1355.00 1400.00 1529.00 1574.78 1629,78 1700.00 1763,00

FLOU SIGl'1/\

1.759 1. 647 1.103

.940 ,7'44 .506 .-457 .448 .290 .286 .23-4 .198 .174 ,163 ,159 ,145

5IG"A OF UNIFOR"

ROUGHNESS

.040

.040

.041 ,042 .043 .043 .043 , 04" .045 ,046 ,046 .047 .047 ,047 .047 .048


REQUIRED CHAl'1FER TO

STOP CAVITATION

l TO 2 1 TO 2 1 TO 3 1 TO 3 1 TO '4 1 TO 7 1 TO 8 1 TO 8 1 TO 14 1 TO 14 1 TO 19 1 TO 24 1 TO 29 l TO 32 1 TO 33 1 TO 37

l/4-IN 5-MM

.100E-01

.100E- 01

.1 00E- 01

.10.aE- 01

.100E-01

.52SE+00

.109£+01

.211£+01

.232£+02

.345£+02

.6'48£+02

.137E+03

.191E+03

.258£+03 ,358£ +03 ,556£+03

CIRCULAR ARC l/2-IN 10-Ml'l

. t00E-01

.100£-01

.100£-01 ,1 00£-01 .137£+00 .262£+01 .'449£+01 .833£+01 .707E+02 ,105E+03 .188[+03 .389E+03 .'535[+03 .718E+03 .994[+03 .153[+0-4

DA"AGE POTENTIAL 90-DEGREE OFFSET

1-IN l/4-IN 1/ 2-IN 25-MM 5-MM 10-MM

,100E- 0 1 .100E-01 .100£-01 . 279£+0 0 .t75E+01 .933E+01 .150E+02 .274E+02 .204E+03 .301[+03 .528£+03 ,107[+04 ,1-46EHH .195E+04 .270[+04 , -414£+04

.1'45£-01 ,100£-01 .100E-01 .100£-01 .t00E-01 .1'42£+01 ,240£+01 .397£+01 .316[+02 .438E+02 .776£+02 .148[+03 , 199£+03 .259[+03 .358E+03 ,558£+03

.196£+01

.100£-01

.760£-01

.325£+00

.108£+01

.593E+01

.917£+01

.151£+02

.t00E+03

.138£+0 3 , 236E+eJ .,t40E+03 ,586E+03 .759£+03 .19-4£+04 .161£+0 4

1-IN 25-l'IM

.935E+01

.317E+00

.184E+01

.277£+01

.551£+01

.205E+02

. 304£+02 ,500[+02 .301[+03 .415E+03 ,692£+0 3 .127£+04 .168£+0-4 .217[+04 ,298EHH .458£+&'4

- > I t

• I • I

•

1 MCPHEE DAl'I SPllLIJAV

0 • 30000.0 CFS INITIAL DEPTH • 16.00 FT RUCOSITV • .001000 FT N • .0135

ENERGY DEPTH THICKNESS STATION INUERT ELEV SLOPE DEPTH VELOCITY PIEZ CRADE LINE 0 AIR/ Q UATER PROFILE NORl'IAL CRITICAL BOUNDARY LAVER


966.0 6896.86 .1100 16.000 33.-482 15.90'4 6930.172 0.000 52 5.139 21.-439 . 003 970.0 6896 . 10 .1900 15.310 3-4.992 15.0-41 6930.15 ... 0.000 52 '4.30'4 21.529 .065 988.9 6889.00 .37-49 12.288 '43.595 11.506 6930.018 0.000 S2 3.'497 21.876 . 269

1015.5 688-4.25 .1788 10.598 '47.177 10.-433 6929.2-4-4 0.000 52 '4 .178 20.5-46 .500 1100.0 687.\.96 .1099 9 • .\18 53.087 9.362 6928.09'4 0.000 52 '4.890 20.481 1.08'4 1135.0 6870.70 .1217 8.-427 59.330 1.998 6927.-430 0.000 52 4.730 19.525 1.310 1155.0 6865.60 .2550 8.060 62.038 1.440 6926.948 0.000 52 3.738 19.718 1.-438 1200.0 6848.00 .3911 7.-423 67.35'4 6.913 6925 . 582 0.000 52 3.29"1 20 .927 1.721 1300.0 6808.00 .'4000 6.036 82.837 5.60'4 6920 . 729 0.000 52 3.273 20.952 2.282 1355,0 6786.00 .'4000 5.692 87.848 9.389 6916,935 0.000 52 3 . 273 21. 385 2,578 1-400.0 6772. 60 .2978 5. •405 92.508 5 ,1 80 6913.391 0.000 52 3.566 20 .730 2.805

,;,.,r 1529.0 6734 . 18 ,2978 .... 962 100.763 4,756 6900.8 ... 1 0.000 52 3.566 20 .729 3.412 - 157'4.8 6718 . 12 • 3508 4 .81 ... 103.869 ( 1.928 6895.-495 0.000 52 3 . 398 20.612 3.626

:JI'~ - 1629.8 6696 .-44 .3942 .... 6 "'7 107.605 1.860 6888.298 0 .000 52 3.286 20. 730 3.881 1700.0 6663.50 .4691 4.4'16 112.468 4.025 6877 .6'40 0.000 52 3.133 21.129 4.205 1763.0 6632.00 .5000 4.280 116.817 3.828 6866.68"1 0.000 52 3.081 21.215 .... 280

ENERCV GRADE LINE AT BEGINNING OF BOUNDARY LAVER 6930.172

MCPHEE DAI'! SPILLWAY

a • 30000.0 CFS INITIAL DEPTH• 16.00 FT RUGOSITV . .001000 FT N . ,0135

CAUITATIOH CHARACTERISTICS


STATION FLOIJ UNIFORM CHAl'IFER TO 1/4-IN 1/2-IN 1-IN 1/4-IH 1/2-IH 1-IN SIGl'IA ROUGHNESS STOP CAUITATION 5-MM HH'IM 25-1'111 5 -l'IM 10-MM 25-MM

966.00 2.400 .039 1 TO 1 .100E-01 .100E-01 .t00E-01 .100E-01 .100E-01 .131E+01 970.00 2.152 .039 l TO 1 .100E-01 , 100E-01 .100£-01 .100£-01 • t00E-01 .100E-01 988.94 1,267 . 0'40 1 TO 2 .100E-01 .100E-01 .100E-01 .100[-01 .100E-01 .617E+00

1015.50 1.051 .0-41 1 TO 3 , 100E-01 .100£-01 .100E-01 .100E-01 .100E-01 .142E+01 1100.00 .806 .0"11 1 TO 4 .100£-01 .100£-01 .107E-t01 .100[-01 .58-4EHl0 .390E+01 1135.00 .510 .042 1 TO 7 .503E+00 .257E+01 .922£+01 .138E+01 .584E+01 .202E+02 1155,00 ."157 .0 ... 2 1 TO 8 , 111E+01 .457E-t01 .1 52E+02 .2"13E+01 . 930E+01 .309£ ... 02 1200.00 .466 .043 1 TO 7 .179£+01 .746E+01 .250E+02 .3"47E+01 .137E+02 .'459£+02 1300.00 .296 .044 1 TO 14 .232E+02 .709E+02 .205E+03 .316E+02 .100£+03 .302(+03 1355.00 .295 .044 1 TO 14 .341E+02 .10'4E+03 .301E+03 .433E+02 .138E+03 .'415£+03 1-400.00 .235 .045 1 TO 19 .705£-t02 .205E+03 .575E+03 .8-10E+02 . 256E+03 .750E+03 1529.00 .195 .0"4S 1 TO 2-4 .159E+03 .451£+03 .124E+0-4 .170£+03 .507E+03 .146E+0'4 157-4.78 .167 .0-46 1 TO 30 ,240E+03 .668£+03 .182E+04 .2-48£+03 .726E+03 .208E+04 1629.78 .155 .0'46 1 TO 34 .331E+03 .917E+03 .249E+0"4 .330E+03 .962E+03 .274[+04 1700.00 .153 .046 1 TO 34 • 4"18E+03 .124£+04 .336E+(i) .. .'427£+03 .124E+04 .354£+04 1763.00 .141 .047 1 TO 39 .6'45E+03 .177[+04 .479£+0'4 .605[+03 .175E+04 .496E+84

.... ~ ;

•• I , -- -- -- -----·· ..

" I I ,• > t • , .. f • Jl • .. , ...

• . 4

• 1 MCPHEE DAM SPilLUAY

------------------------------------------------------------Q • 33130.0 CFS INITIAL DEPTH • 22.00 FT RUGOSITY • .001000 FT N • .0137

ENERGY DEPTH THICKNESS STATION INVERT ElEV SLOPE DEPTH VELOCITY PIEZ GRADE LINE Q AIR/Q WATER PROFILE NORMAL CRITICAL BOUNDARY LAYER


966.0 6896.86 .1100 22.000 26.891 21,868 6929.957 0.000 S2 5.-491 22,910 .003 970,0 6896.10 .1900 18.801 31.-467 18.-470 6929,9-46 0.000 52 -4.596 23.000 .066 988.9 6889.00 .37-49 1-4. 000 -42.258 13. 109 6929.838 0.000 52 3.732 23.370 .271

1015.5 688-4.25 .1788 11.970 -46, 130 11. 783 6929 ,077 0.000 52 -4.-460 21.952 .503 1100.0 687-4.96 .1099 10.538 52,396 10,-475 6928.071 0.000 52 5,223 21.877 1.089 1135,0 6870.70 .1217 9,322 59,23-4 2.235 6927.475 0.000 52 5.052 20.790 1.315 1155.0 6865.60 .2550 8,90-4 62.015 1. 599 6927.036 0.000 52 3.989 20.998 1. -44-4 1200.0 6848.00 .3911 8,227 67,119 7.662 6925.798 0.000 52 3.51"' 22,360 1. 727 1300.0 6808.00 .4000 6,660 82.910 6.183 6921.395 0.000 52 3.-491 22.379 2.288 1355,0 6786.00 .-4000 6,277 87.970 10,355 6917.9'41 0.000 52 3.191 22.879 2.583 1400,0 6772.60 .2978 5.9-41 92,941 5,69-4 6914.698 0.000 52 3.805 22,148 2.810 1529.0 6734.18 .2978 5.437 101,553 5.211 6903.115 0.000 52 3.805 22.148 3,417 1574.8 6718, 12 .3508 5.259 105.000 2.065 6898.141 0.000 S2 3,625 22.006 3,630 1629 , 8 6696.44 .3942 5.070 108.915 1.987 6891.405 0.000 52 3.506 22,133 3.884 1700.0 6663.50 .4691 4.845 113,964 4,386 6881.-400 0.000 52 3.342 22.575 "4.207 1763.0 6632.00 .5000 4.655 118.605 4,164 6871.072 0.000 52 3.286 22.666 4.49'4

ENERGY GRADE LINE AT BEGINN ING OF BOUNDARY LAYER 6929.957

1 MCPHEE DAl'I SPILLWAY ------------------------------------------------------------

0 • 33130,0 CFS INITIAL DEPTH• 22.00 FT RUGOSITY . .001000 FT N . .0137



STATION FlOU UNIFORM CHAl'IFER TO l/'4-IN l/2-IN 1-IN 1/-4-IH l/2-IN 1-IN SIGl'IA ROUGHNESS STOP CAVITATION 5-MM 10-l'IM 25-MM 5-Ml'I 10-Ml'I 25-l'!M

966,00 4.251 .038 1 TO 1 .100E-01 , 100E-01 .100E-01 .100E-01 .100E-01 .100E-01 970.00 2,88-4 .038 1 TO 1 .100E-01 , 100E-01 .100E-01 .100E-01 .100E-01 .100£-01 988.91 1. -406 .0-40 1 TO 2 .100E-01 .100E-01 .100£-01 .100£-01 .100£-01 .6-46E-01

1015.50 1.140 .0-40 1 TO 2 .100E-01 .100E-01 .100E-01 .100£-01 . 100£-01 .726E+00 1100. 00 .853 .041 1 TO 3 .100£-01 .100£-01 .663E+00 .100£-01 .296E+00 .292E+01 1135.00 .516 .011 1 TO 6 .463E+00 .2-45[+01 .889E+01 .130E+01 .561£+01 .195[+02 1155.00 .-460 .042 1 TO 8 .108E+01 .-448[+01 .150E+02 .237£+01 .912E+01 .30-4E+02 1200.00 .-480 .0-42 1 TO 7 .154E+01 .675E+01 .230E+02 .308[+01 .125[+02 .-425E+02 1300.00 .301 ,043 1 TO 13 .226[+02 .695[+02 .202E+03 .308E+02 .983E+02 .297[+03 1355.00 .302 ,0H 1 TO 13 .329E+02 ,101E+03 .29-4[+03 ."418E+02 .13-4E+03 .-405£+03 1-400.00 .236 .0H 1 TO 19 .720£+02 . 2 10[+03 ,588£+03 .857[+02 .261£+03 .766[+03 1529.00 .195 .0-45 1 TO 24 .168£+03 .-477E+03 .131£+0'4 ,180£+03 .535[+03 .15-4E+0-4

' 157-4.78 .16'4 .0-45 1 TO 31 ,265E+03 .737E+03 .201[+0-4 .273[+03 .798E+03 .228[+0-4 1629.78 .152 .tHS 1 TO 35 .370E+0J , 102EHt-4 .277E+0-4 .368[+03 .107£+04 .30-4[+04 • 1700.00 .151 .0-46 1 TO 35 .501[+03 ,138EHH .375E+0-4 .-477E+03 ,139E+04 .39-4[+0-4 1763.00 .139 .0-46 1 TO -40 .725£+03 ,199E+0-4 .S37£+0-4 .665E+03 ,1921:+0-4 .5-4-4£+0-4

•

design of aeration device for mcphee dam spillway … · ·1.,j ' 1 ' ;t when calibrated...

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