--Kawai Lab. DNS/LES Database (https://www.klab.mech.tohoku.ac.jp/database/index.html)--, Iwatani, Y., Asada, H., and Kawai, S., "Direct Numerical Simulation of Subharmonic Transition in Pseudo-Adiabatic, Heated and Cooled Boundary Layers at Mach Number 0.8," International Journal of Heat and Fluid Flow, Vol. 116, No. 109896, 2025, p. 109896. https://doi.org/10.1016/j.ijheatfluidflow.2025.109896 ------------------------ 1st line: Re_theta -- Re_d99 -- 2nd line: y/x0 3rd line: y^* 4th line: u^* ----------------- (1) Re_theta = 450 --- Re_dstar = 128566.88797191133 --- Re_d99 =318549.98098530684 -- Re_X = 192348.35 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.13730423 0.27529898 0.41399184 0.5533905 0.6935028 0.83433664 0.9759002 1.1182015 1.2612487 1.4050505 1.5496151 1.6949514 1.841068 1.987974 2.1356783 2.2841902 2.4335186 2.5836735 2.7346644 2.8865006 3.0391924 3.1927497 3.347183 3.5025022 3.6587179 3.8158412 3.9738822 4.132853 4.292763 4.453625 4.61545 4.7782493 4.9420357 5.10682 5.272615 5.439433 5.6072865 5.776188 5.94615 6.117186 6.2893085 6.462531 6.636868 6.812333 6.9889402 7.1667037 7.3456373 7.525755 7.7070704 7.8895984 8.073352 8.258348 8.444602 8.6321335 8.820958 9.011096 9.202561 9.3953705 9.589534 9.785062 9.981962 10.180249 10.379938 10.581055 10.783631 10.98771 11.193334 11.4005375 11.609347 11.819766 12.03177 12.245316 12.460345 12.676805 12.894669 13.113964 13.334799 13.557376 13.782003 14.009087 14.239109 14.472607 14.710124 14.952187 15.199259 15.451733 15.709911 15.974012 16.244188 16.520546 16.803165 17.092127 17.387535 17.689508 17.998205 18.313807 18.63651 18.966537 19.304102 19.649426 20.002728 20.364233 20.734167 21.11276 21.50026 21.89692 22.303007 22.718807 23.144611 23.58073 24.02748 24.485188 24.954193 25.434847 25.927511 26.432556 26.950363 27.481327 28.025848 28.584337 29.157213 29.7449 30.347822 30.966413 31.601109 32.252342 32.920547 33.606155 34.309605 35.03131 35.771706 36.5312 37.310207 38.109135 38.928375 39.76833 40.629383 41.511913 42.416298 43.342896 44.292065 45.264145 46.259468 47.27834 48.32106 49.387886 50.479065 51.594795 52.73525 53.900547 55.09078 56.30598 57.54615 58.811253 60.101223 61.415955 62.755325 64.119194 65.507385 66.919716 68.355995 69.81604 71.2997 72.806854 74.3375 75.89171 77.46966 79.07162 80.69796 82.34903 84.02524 85.72692 87.454414 89.2081 90.98847 92.796234 94.632454 96.49858 98.39647 100.3283 102.29633 104.30266 106.34876 108.43523 110.561356 112.725044 114.922714 117.14951 119.39965 121.66694 123.94521 126.228966 128.51367 130.79608 133.07422 135.34734 137.6156 139.87979 142.14098 144.40015 146.65814 148.91542 151.1721 153.42813 155.68321 157.93703 160.18933 162.43997 164.68889 166.93611 169.18176 171.4259 173.66869 175.91014 178.15031 180.38918 182.62674 184.86296 187.09782 189.33134 191.56352 193.79437 196.02393 198.2522 200.4792 202.70496 204.92946 207.15273 209.37477 211.59558 213.8152 216.0336 218.25081 220.46684 222.68172 224.89542 227.10797 229.31941 231.5297 233.73888 235.94696 238.15393 240.35982 242.56464 244.76839 246.97107 249.17271 251.37332 253.5729 255.77148 257.96906 260.16562 262.3612 264.5558 266.74942 268.9421 271.13385 273.32465 275.51453 277.70346 279.89154 282.0787 284.26495 286.45035 288.6349 290.8185 293.00134 295.18335 297.36447 299.54483 301.7243 303.90305 306.081 308.25815 310.43454 312.61014 314.78503 316.95917 319.13254 321.3052 323.4772 325.64847 327.81903 329.9889 332.1581 334.32666 336.49454 338.66177 340.8284 342.9944 345.15973 347.3245 349.48865 351.65222 353.8152 355.9776 358.13947 360.30075 362.4615 364.6217 366.78143 368.9406 371.0993 373.25748 375.4152 377.57242 379.72916 381.88547 384.0413 386.1967 388.35168 390.50623 392.66034 394.81412 396.96744 399.1204 401.27298 403.42523 405.57706 407.72858 409.87973 412.0306 414.18112 416.33133 418.48126 420.6309 422.7802 424.92926 427.0781 429.22662 431.3749 433.52295 435.67078 437.81842 439.96582 442.11304 444.26004 446.40683 448.5535 450.69998 452.8463 454.9925 457.13855 459.28445 461.43027 463.57596 465.72156 467.86703 470.01248 472.1578 474.3031 476.44833 478.59348 480.73862 482.88376 485.02884 487.1739 0.13740477 0.2754952 0.41427878 0.5537632 0.6939562 0.83486575 0.97649974 1.1188663 1.2619735 1.4058297 1.5504432 1.6958221 1.8419752 1.9889109 2.1366377 2.285164 2.434499 2.5846512 2.7356296 2.8874426 3.0400994 3.1936092 3.3479807 3.5032234 3.659346 3.8163583 3.9742694 4.1330886 4.292825 4.453489 4.6150894 4.7776365 4.941139 5.105608 5.271053 5.4374833 5.60491 5.7733417 5.9427896 6.113263 6.2847724 6.457329 6.6309423 6.8056235 6.981384 7.1582327 7.336181 7.5152397 7.6954174 7.8767242 8.059172 8.242769 8.42753 8.613467 8.800593 8.988921 9.178463 9.369226 9.561219 9.754444 9.948904 10.144606 10.34156 10.539785 10.739307 10.94016 11.142378 11.345989 11.551012 11.757439 11.965241 12.174367 12.384749 12.59633 12.8090725 13.022997 13.238197 13.454863 13.673281 13.893833 14.116975 14.343208 14.573042 14.80696 15.045387 15.288672 15.537073 15.790769 16.049866 16.314423 16.584478 16.860062 17.141218 17.428017 17.720545 18.018917 18.323256 18.633692 18.950356 19.27337 19.602856 19.93892 20.281668 20.631203 20.987629 21.35105 21.721565 22.099281 22.484297 22.876709 23.276604 23.684067 24.099169 24.521967 24.952513 25.390837 25.836958 26.29087 26.752554 27.221956 27.699003 28.183584 28.67556 29.174751 29.680937 30.193851 30.713188 31.238583 31.769627 32.30585 32.846733 33.391697 33.940098 34.491245 35.044376 35.598686 36.1533 36.707294 37.259693 37.809464 38.355534 38.896786 39.43207 39.960197 40.479958 40.99013 41.489483 41.976784 42.45083 42.910427 43.35445 43.78182 44.191544 44.582718 44.95456 45.306404 45.63773 45.948166 46.237495 46.505665 46.752792 46.97916 47.18522 47.371567 47.538956 47.688263 47.820484 47.93669 48.03802 48.125652 48.200794 48.26464 48.318386 48.363186 48.400158 48.43035 48.454746 48.474247 48.48966 48.501694 48.51098 48.518047 48.523354 48.52728 48.53014 48.532192 48.53364 48.534653 48.53535 48.53583 48.536163 48.536396 48.536564 48.53669 48.53679 48.53687 48.53694 48.537006 48.537067 48.53713 48.537186 48.537243 48.5373 48.53736 48.53742 48.537476 48.537533 48.537594 48.53765 48.53771 48.53777 48.537827 48.537888 48.537945 48.538006 48.538067 48.538128 48.538185 48.538246 48.538307 48.53837 48.53843 48.53849 48.53855 48.538612 48.538673 48.538734 48.538795 48.538857 48.538918 48.53898 48.53904 48.5391 48.53916 48.539223 48.539284 48.53935 48.53941 48.53947 48.53953 48.539593 48.539654 48.539715 48.539776 48.53984 48.5399 48.539963 48.540024 48.540085 48.540146 48.540207 48.540268 48.54033 48.54039 48.54045 48.540512 48.54057 48.54063 48.54069 48.540752 48.54081 48.54087 48.54093 48.54099 48.54105 48.54111 48.54117 48.54123 48.541286 48.541344 48.541405 48.541462 48.54152 48.541576 48.541634 48.54169 48.541748 48.541805 48.541862 48.54192 48.541977 48.54203 48.542088 48.542145 48.5422 48.54225 48.54231 48.542362 48.542416 48.54247 48.542522 48.542576 48.54263 48.542683 48.542736 48.54279 48.54284 48.542892 48.542942 48.542995 48.543045 48.543095 48.543144 48.543194 48.543243 48.543293 48.54334 48.54339 48.543438 48.543484 48.54353 48.54358 48.543625 48.54367 48.543716 48.543762 48.543808 48.54385 48.543896 48.543938 48.543983 48.544025 48.544067 48.54411 48.54415 48.544193 48.54423 48.544273 48.54431 48.544353 48.54439 48.54443 48.544468 48.544506 48.544544 48.544582 48.544617 48.544655 48.54469 48.544724 48.544758 48.544792 48.544827 48.54486 48.54489 48.544926 48.544956 48.544987 48.54502 48.54505 48.54508 48.54511 48.54514 48.545166 48.545197 48.545223 48.54525 (2) Re_theta = 500 --- Re_dstar = 141245.4365369974 --- Re_d99 =356965.36905790836 -- Re_X = 302563.83 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.13448086 0.26964924 0.40551275 0.54207927 0.67935663 0.8173529 0.9560761 1.0955344 1.2357363 1.3766899 1.518404 1.6608871 1.8041483 1.9481962 2.09304 2.238689 2.385152 2.5324392 2.6805599 2.8295236 2.9793406 3.1300204 3.2815738 3.4340107 3.587342 3.741578 3.8967295 4.052808 4.209823 4.3677874 4.5267115 4.6866074 4.8474865 5.0093603 5.172241 5.3361406 5.501071 5.6670446 5.834073 6.00217 6.171346 6.3416157 6.5129905 6.6854844 6.85911 7.03388 7.209808 7.386905 7.5651846 7.7446594 7.9253397 8.107242 8.290377 8.474763 8.660415 8.847346 9.035572 9.225102 9.415945 9.608107 9.801592 9.99641 10.192573 10.3901 10.589019 10.789365 10.991176 11.194481 11.399299 11.605625 11.813433 12.02267 12.233274 12.445185 12.65837 12.8728485 13.088718 13.3061695 13.525496 13.747079 13.971384 14.19892 14.430203 14.665732 14.905939 15.151187 15.40175 15.657816 15.919512 16.186913 16.460075 16.739048 17.023903 17.314732 17.611652 17.914814 18.224377 18.540518 18.863415 19.193249 19.530201 19.874454 20.226192 20.585611 20.952919 21.328335 21.712091 22.104443 22.505651 22.916004 23.335798 23.76535 24.20499 24.655073 25.115969 25.588066 26.07178 26.567545 27.075815 27.597067 28.1318 28.680527 29.243786 29.822123 30.416101 31.026297 31.653284 32.29765 32.95997 33.640812 34.34074 35.060284 35.799957 36.560246 37.34159 38.144405 38.96906 39.81588 40.685165 41.577164 42.492115 43.43022 44.391693 45.376724 46.385536 47.418343 48.475407 49.556995 50.66341 51.794968 52.95199 54.134804 55.34372 56.579025 57.840984 59.129807 60.44565 61.78861 63.15871 64.555916 65.98012 67.43115 68.908844 70.41299 71.94343 73.50002 75.08271 76.69146 78.32627 79.98713 81.673996 83.386765 85.12531 86.88951 88.67941 90.49526 92.337685 94.20774 96.10695 98.03716 100.00039 101.99851 104.03286 106.10394 108.211044 110.35213 112.52378 114.72138 116.939445 119.17211 121.4136 123.65877 125.90343 128.1446 130.38063 132.6109 134.83577 137.05614 139.27315 141.48785 143.70116 145.91357 148.12526 150.33618 152.5461 154.7547 156.96179 159.16722 161.37091 163.57295 165.77342 167.97241 170.17006 172.36641 174.5615 176.75528 178.9478 181.139 183.32889 185.51744 187.7047 189.89064 192.07532 194.25873 196.4409 198.62186 200.80159 202.9801 205.15741 207.33353 209.50847 211.68222 213.8548 216.02623 218.19652 220.36566 222.53369 224.70062 226.86642 229.03114 231.19478 233.35733 235.51881 237.67926 239.83865 241.99701 244.15434 246.31067 248.46597 250.6203 252.77364 254.926 257.0774 259.22784 261.37732 263.52588 265.6735 267.82022 269.966 272.11093 274.25494 276.3981 278.54034 280.68176 282.82233 284.96204 287.10095 289.239 291.37628 293.51276 295.64838 297.7833 299.9174 302.05075 304.18335 306.3152 308.4463 310.57666 312.70633 314.8353 316.96356 319.09113 321.21802 323.34424 325.4698 327.59473 329.719 331.84262 333.96564 336.08804 338.20984 340.33105 342.45166 344.5717 346.69116 348.81006 350.9284 353.04623 355.1635 357.28027 359.39655 361.51227 363.62753 365.7423 367.8566 369.97043 372.0838 374.19672 376.30917 378.42123 380.53284 382.64404 384.75485 386.8653 388.97528 391.08496 393.1942 395.3032 397.41174 399.52 401.62787 403.73547 405.84274 407.94968 410.05637 412.16275 414.26886 416.3747 418.4803 420.5856 422.69067 424.79553 426.90015 429.00458 431.1088 433.21283 435.31665 437.4203 439.52374 441.62708 443.73022 445.83325 447.93613 450.0389 452.14157 454.2441 456.34656 458.44888 460.55118 462.65335 464.7555 466.8576 468.95963 471.0616 473.1636 475.26556 477.3675 0.13485053 0.2703263 0.40643215 0.54317594 0.68056333 0.81860167 0.95729756 1.0966581 1.2366902 1.3774006 1.5187967 1.6608852 1.8036731 1.9471674 2.0913749 2.2363021 2.381956 2.5283437 2.675471 2.823345 2.9719722 3.1213589 3.2715118 3.422437 3.5741408 3.72663 3.8799105 4.033989 4.188871 4.3445635 4.5010724 4.658404 4.816564 4.97556 5.1353974 5.296082 5.457621 5.62002 5.7832856 5.9474235 6.11244 6.278342 6.4451346 6.612826 6.7814217 6.9509277 7.121351 7.2926955 7.464968 7.638173 7.812317 7.987405 8.1634445 8.340444 8.518409 8.69735 8.877271 9.058176 9.240065 9.422936 9.60679 9.791623 9.977441 10.164257 10.352088 10.54096 10.7309 10.921928 11.114053 11.307263 11.501524 11.69678 11.892964 12.0900135 12.28789 12.486606 12.686243 12.886969 13.089044 13.292812 13.498686 13.707114 13.918555 14.133436 14.352133 14.5749445 14.802091 15.0337105 15.269885 15.510648 15.756013 16.00599 16.260605 16.5199 16.783945 17.05283 17.326654 17.60553 17.889568 18.178883 18.47358 18.773764 19.079546 19.391037 19.708353 20.03162 20.360971 20.696545 21.038494 21.386969 21.74213 22.104145 22.473177 22.8494 23.232985 23.624105 24.022934 24.429642 24.844393 25.267345 25.69864 26.138409 26.58676 27.04378 27.50952 27.984007 28.467218 28.95909 29.459507 29.968296 30.485222 31.009981 31.5422 32.081432 32.627148 33.178745 33.735546 34.296787 34.86164 35.429214 35.998543 36.56862 37.13838 37.706726 38.272533 38.834644 39.39189 39.94309 40.487034 41.022526 41.548363 42.06333 42.56624 43.055897 43.531143 43.990856 44.43396 44.859432 45.266335 45.65383 46.021187 46.36781 46.693253 46.997223 47.279617 47.540493 47.780087 47.998795 48.197174 48.37591 48.535828 48.67786 48.80304 48.912487 49.007397 49.089005 49.158577 49.21736 49.26659 49.307423 49.340958 49.36821 49.390095 49.40746 49.42105 49.43154 49.43952 49.445503 49.44992 49.453144 49.455467 49.457127 49.4583 49.45913 49.459713 49.460125 49.46042 49.460632 49.460793 49.460915 49.46101 49.46109 49.46116 49.46122 49.461273 49.461327 49.461376 49.461426 49.46147 49.461517 49.461563 49.46161 49.46165 49.461697 49.46174 49.46178 49.461823 49.461864 49.461906 49.461945 49.461987 49.46203 49.462067 49.462105 49.462143 49.46218 49.46222 49.462257 49.462296 49.462334 49.46237 49.462406 49.462444 49.46248 49.462513 49.462547 49.462585 49.46262 49.462654 49.462685 49.46272 49.462753 49.462788 49.46282 49.462852 49.462883 49.462914 49.462948 49.46298 49.46301 49.46304 49.46307 49.4631 49.463127 49.463158 49.46319 49.463215 49.463245 49.463272 49.463303 49.46333 49.463356 49.463383 49.46341 49.463436 49.463463 49.46349 49.463516 49.46354 49.463566 49.46359 49.463615 49.46364 49.46366 49.463684 49.46371 49.463734 49.463753 49.463776 49.4638 49.46382 49.46384 49.463863 49.463882 49.4639 49.463924 49.463943 49.463963 49.46398 49.464 49.464016 49.464035 49.464054 49.46407 49.46409 49.464104 49.46412 49.464134 49.46415 49.464165 49.46418 49.464195 49.464207 49.464222 49.464233 49.46425 49.46426 49.46427 49.464283 49.464294 49.464306 49.464317 49.464325 49.464336 49.464344 49.46435 49.464363 49.46437 49.46438 49.464382 49.46439 49.464397 49.4644 49.46441 49.464413 49.464417 49.46442 49.464424 49.464428 49.464428 49.46443 49.464436 49.464436 49.464436 49.464436 49.464436 49.464436 49.464436 49.46443 49.46443 49.464428 49.464424 49.464424 49.46442 49.464413 49.46441 49.464405 49.464397 49.464394 49.464386 49.46438 49.46437 49.464363 49.46435 49.464344 49.464333 49.464325 (3) Re_theta = 600 --- Re_dstar = 141429.49757826555 --- Re_d99 =407975.3673292999 -- Re_X = 410655.7500000001 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.1961373 0.39334312 0.59163743 0.7910403 0.9915715 1.1932505 1.3960965 1.6001275 1.8053612 2.0118144 2.2195027 2.428442 2.6386466 2.8501313 3.0629098 3.276996 3.4924028 3.7091436 3.9272318 4.146679 4.367498 4.5896993 4.813296 5.0382977 5.2647157 5.49256 5.7218404 5.9525666 6.184747 6.4183917 6.653509 6.8901086 7.1281986 7.367788 7.6088853 7.8515 8.095641 8.341319 8.588541 8.837318 9.087662 9.33958 9.593085 9.84819 10.104905 10.363244 10.623218 10.884837 11.148116 11.413067 11.679701 11.948037 12.218088 12.489875 12.763417 13.0387335 13.315842 13.594756 13.875488 14.158047 14.442438 14.728676 15.016779 15.306776 15.598713 15.892641 16.188616 16.486683 16.786875 17.089184 17.39357 17.699966 18.00828 18.318426 18.630362 18.944118 19.259844 19.57782 19.89848 20.22239 20.550234 20.882761 21.220736 21.564888 21.915863 22.274197 22.640297 23.014452 23.396852 23.787622 24.186853 24.594625 25.011055 25.436281 25.870493 26.313902 26.766748 27.229296 27.7018 28.184517 28.677706 29.181623 29.696524 30.222681 30.760378 31.309921 31.871626 32.445843 33.03293 33.63326 34.247215 34.87519 35.517586 36.1748 36.84725 37.535355 38.239548 38.96029 39.698048 40.453323 41.22663 42.018486 42.829426 43.659992 44.510746 45.38227 46.27517 47.19006 48.127586 49.08839 50.073193 51.082737 52.117847 53.1794 54.268288 55.38541 56.5317 57.70806 58.915413 60.15465 61.426697 62.732468 64.072914 65.44898 66.86159 68.311615 69.799866 71.32701 72.89363 74.5002 76.14706 77.83441 79.56237 81.331085 83.14079 84.991776 86.88429 88.81877 90.79618 92.818 94.885574 96.99968 99.16072 101.36877 103.62354 105.92426 108.269356 110.65607 113.08106 115.54159 118.03572 120.562546 123.12331 125.72071 128.35692 131.03275 133.74948 136.50966 139.3163 142.1726 145.08133 148.04424 151.06276 154.13658 157.26219 160.43433 163.64685 166.89351 170.16754 173.46114 176.76549 180.0718 183.3709 186.65666 189.93002 193.19406 196.44969 199.6982 202.94109 206.17917 209.4134 212.64482 215.87427 219.10228 222.32854 225.55168 228.77106 231.98747 235.20161 238.41359 241.62355 244.83177 248.03848 251.24399 254.44853 257.65225 260.8552 264.05737 267.25858 270.45853 273.65692 276.8534 280.04776 283.2397 286.42874 289.6146 292.79755 295.97836 299.15747 302.3349 305.51047 308.6835 311.85327 315.0202 318.18524 321.3486 324.5103 327.67044 330.8289 333.98575 337.14105 340.29474 343.4469 346.5975 349.74658 352.89417 356.04025 359.18484 362.32797 365.46967 368.6099 371.74872 374.88614 378.02216 381.1568 384.29007 387.422 390.55255 393.68182 396.80975 399.93643 403.06183 406.1859 409.30878 412.43042 415.55078 418.66998 421.788 424.9048 428.02045 431.1349 434.24823 437.36047 440.47156 443.58157 446.69046 449.7983 452.9051 456.01083 459.11554 462.21924 465.32193 468.4236 471.52432 474.62408 477.7229 480.8208 483.91772 487.0138 490.10895 493.2032 496.2966 499.38913 502.48087 505.57175 508.66177 511.75104 514.83954 517.9272 521.0141 524.10034 527.1858 530.2705 533.35455 536.43787 539.52057 542.60254 545.68384 548.7645 551.8446 554.9241 558.00287 561.0811 564.1588 567.23596 570.3125 573.38855 576.4641 579.53906 582.6136 585.6876 588.76117 591.8343 594.9069 597.9792 601.05096 604.1224 607.1934 610.26404 613.3343 616.40424 619.4738 622.5431 625.61206 628.68066 631.749 634.81714 637.88495 640.9525 644.0199 647.087 650.15393 653.22064 656.2872 659.3536 662.4198 665.48584 668.55176 671.6176 674.6833 677.74896 680.8145 683.87994 686.9454 690.0108 693.0762 696.1415 0.19635724 0.39388475 0.59255093 0.79232645 0.99310935 1.194793 1.3972216 1.6002303 1.803633 2.007239 2.2108598 2.4143069 2.6174061 2.8199825 3.0218768 3.2229264 3.4229798 3.6218815 3.8194845 4.01564 4.210205 4.4030404 4.594013 4.7829986 4.969879 5.154548 5.33691 5.5168796 5.6943846 5.869366 6.041777 6.2115836 6.3787622 6.5433044 6.70521 6.8644915 7.021169 7.175274 7.3268433 7.4759235 7.622566 7.766828 7.908772 8.048463 8.185969 8.3213625 8.454715 8.5861 8.7155905 8.843262 8.96919 9.093449 9.216115 9.337266 9.456977 9.575325 9.692384 9.808225 9.922917 10.036528 10.14912 10.260758 10.371504 10.48142 10.59057 10.699017 10.806816 10.91402 11.020663 11.12677 11.232348 11.337392 11.441889 11.54583 11.64922 11.752093 11.854519 11.956611 12.05853 12.160476 12.262681 12.365393 12.46886 12.573315 12.678961 12.785968 12.894467 13.004554 13.116297 13.229744 13.344935 13.461912 13.580718 13.701406 13.824034 13.948664 14.075357 14.204172 14.335157 14.468351 14.603786 14.74149 14.881492 15.0238285 15.168551 15.315732 15.465464 15.617857 15.773033 15.931117 16.092228 16.25648 16.423973 16.59482 16.76914 16.947067 17.128742 17.314297 17.503855 17.697515 17.895351 18.097404 18.303675 18.514143 18.728785 18.947578 19.170534 19.397738 19.62942 19.865927 20.107594 20.354643 20.607218 20.865456 21.129555 21.399813 21.676603 21.960321 22.251278 22.549625 22.855381 23.168484 23.488811 23.81615 24.15015 24.490263 24.835655 25.185175 25.537392 25.890694 26.24338 26.593716 26.940165 27.281689 27.61789 27.948812 28.274595 28.595509 28.912243 29.225655 29.53594 29.841963 30.141235 30.430714 30.707838 30.970903 31.218203 31.447168 31.655272 31.841946 32.009094 32.159657 32.296154 32.420338 32.533234 32.63567 32.72855 32.812603 32.88856 32.956608 33.01623 33.067215 33.109276 33.141926 33.16617 33.184696 33.199627 33.21167 33.22129 33.228905 33.234703 33.23914 33.24257 33.245007 33.246788 33.248474 33.250427 33.252716 33.25518 33.257744 33.26043 33.26319 33.265945 33.268726 33.27167 33.274918 33.278515 33.282436 33.286667 33.291237 33.296165 33.301456 33.307083 33.312958 33.318962 33.324963 33.330803 33.336323 33.341366 33.345806 33.349575 33.352654 33.355083 33.356895 33.358063 33.35862 33.358784 33.358826 33.358856 33.358864 33.358826 33.358765 33.358707 33.358646 33.358585 33.358524 33.358463 33.3584 33.358337 33.358273 33.35821 33.358147 33.358086 33.35802 33.35796 33.3579 33.357834 33.357773 33.35771 33.35765 33.35759 33.35753 33.35747 33.35741 33.35735 33.357292 33.35723 33.357174 33.357113 33.357056 33.357 33.35694 33.356884 33.356827 33.35677 33.356712 33.35666 33.3566 33.356544 33.35649 33.356438 33.35638 33.356327 33.356274 33.356216 33.356163 33.35611 33.356056 33.356003 33.35595 33.355896 33.355846 33.355793 33.35574 33.355686 33.355637 33.355583 33.355534 33.35548 33.35543 33.355377 33.355328 33.355278 33.355225 33.355175 33.355125 33.355076 33.355022 33.354973 33.354923 33.354874 33.354824 33.354774 33.354725 33.354675 33.354626 33.354576 33.354527 33.354477 33.354427 33.35438 33.354332 33.354282 33.354233 33.354183 33.354134 33.354088 33.35404 33.35399 33.35394 33.35389 33.353844 33.353794 33.353745 33.353695 33.35365 33.3536 33.35355 33.3535 33.35345 33.353405 33.353355 33.353306 33.353256 33.35321 33.35316 33.35311 33.35306 33.353012 33.352962 33.352917 33.352867 33.352818 33.352768 33.35272 33.35267 33.35262 33.35257 33.35252 33.35247 33.35242 33.35237 33.35232 33.352272 33.352222 33.352173 33.352123 (4) Re_theta = 700 --- Re_dstar = 132528.42600211795 --- Re_d99 =511160.5453759723 -- Re_X = 464966.83999999997 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.26681757 0.53538775 0.80576694 1.0780121 1.3521792 1.6283231 1.9064972 2.1867514 2.4691327 2.7536829 3.0404394 3.329434 3.6206934 3.9142385 4.2100844 4.5082417 4.8087173 5.1115117 5.416626 5.7240543 6.033792 6.3458304 6.660162 6.9767776 7.295668 7.6168246 7.9402394 8.265905 8.593814 8.923961 9.256341 9.590953 9.9277935 10.266861 10.608157 10.951683 11.2974415 11.645436 11.995672 12.348154 12.70289 13.059886 13.419153 13.780701 14.144538 14.510678 14.87913 15.249907 15.623017 15.998476 16.376293 16.756489 17.139078 17.524082 17.911524 18.301426 18.693806 19.088682 19.48606 19.88595 20.288357 20.693295 21.100784 21.510866 21.923601 22.339058 22.757315 23.178436 23.602467 24.0294 24.45918 24.891716 25.326874 25.764542 26.204655 26.647263 27.09257 27.540976 27.993084 28.449694 28.911755 29.380323 29.856457 30.34118 30.835384 31.339811 31.85502 32.3814 32.919205 33.468582 34.02965 34.602505 35.187283 35.784164 36.39339 37.01525 37.65006 38.29816 38.959892 39.635597 40.325596 41.03022 41.749783 42.48462 43.23506 44.00147 44.784195 45.583626 46.400143 47.23413 48.085983 48.956078 49.84479 50.752506 51.679596 52.626457 53.5935 54.581177 55.58996 56.620365 57.67296 58.748337 59.84713 60.97 62.117634 63.290737 64.49005 65.71636 66.970505 68.25334 69.56575 70.90854 72.28247 73.688286 75.126686 76.59838 78.104095 79.64449 81.22036 82.832504 84.48174 86.16889 87.89482 89.66054 91.46732 93.316574 95.20984 97.14869 99.13481 101.16991 103.255646 105.39361 107.584915 109.830086 112.12925 114.48274 116.89163 119.35797 121.88384 124.47008 127.11689 129.82504 132.59541 135.4286 138.32578 141.28885 144.3203 147.4226 150.59856 153.85101 157.18268 160.59602 164.09235 167.66988 171.32521 175.05452 178.85359 182.72035 186.6541 190.65216 194.71346 198.84148 203.04016 207.31035 211.64972 216.05328 220.50972 225.0027 229.5204 234.05661 238.6063 243.16501 247.7263 252.27994 256.81433 261.3213 265.80212 270.26468 274.71365 279.14963 283.57486 287.99344 292.40793 296.81842 301.22372 305.62173 310.0124 314.4002 318.78827 323.17493 327.5578 331.93265 336.2944 340.64383 344.9863 349.32407 353.65573 357.98065 362.30087 366.61917 370.93735 375.25604 379.57516 383.89395 388.21118 392.52527 396.83447 401.13788 405.43604 409.73065 414.02335 418.31528 422.6074 426.90012 431.19318 435.48624 439.77963 444.07294 448.36444 452.6529 456.9381 461.21893 465.49277 469.759 474.02066 478.28152 482.54303 486.8052 491.0676 495.33002 499.59265 503.856 508.1205 512.3862 516.65314 520.92053 525.1877 529.45544 533.72656 538.0035 542.2841 546.56085 550.8272 555.08386 559.33435 563.5811 567.8251 572.0665 576.3054 580.5415 584.77423 589.0037 593.2302 597.45435 601.6765 605.8972 610.1168 614.3352 618.55286 622.77045 626.9889 631.20886 635.43005 639.6504 643.8667 648.0771 652.2821 656.4837 660.6834 664.8817 669.0788 673.27466 677.4693 681.6629 685.8553 690.0465 694.23676 698.4259 702.6139 706.8009 710.98694 715.1719 719.35596 723.53894 727.72107 731.9022 736.08246 740.26184 744.44025 748.61786 752.7947 756.97064 761.14575 765.3201 769.4937 773.66656 777.8386 782.0101 786.1808 790.3508 794.52014 798.6889 802.857 807.0244 811.1914 815.35767 819.5235 823.68866 827.85345 832.01764 836.18134 840.3446 844.50745 848.66986 852.83185 856.99347 861.15466 865.3155 869.476 873.6362 877.7961 881.9557 886.115 890.2741 894.433 898.5916 902.75 906.90826 911.06635 915.22424 919.3821 923.5398 927.6974 931.85486 936.0124 940.1698 944.32715 0.2672724 0.53662306 0.8079751 1.0812546 1.3561988 1.6325213 1.9097942 2.1875472 2.465227 2.7422433 3.0179834 3.2918174 3.5631423 3.831363 4.0959444 4.3563805 4.6122427 4.8631454 5.1087813 5.3488936 5.5832953 5.8118486 6.034473 6.251131 6.4618273 6.666602 6.8655233 7.058687 7.246205 7.4282084 7.6048374 7.776245 7.942586 8.104024 8.260721 8.412845 8.5605545 8.704017 8.8433895 8.978829 9.110492 9.238525 9.363075 9.484283 9.602287 9.717218 9.829205 9.938368 10.044827 10.148697 10.250087 10.349102 10.445847 10.540418 10.632914 10.723423 10.812035 10.89883 10.983891 11.067287 11.1490965 11.229387 11.308233 11.385706 11.461879 11.536828 11.610626 11.683341 11.755036 11.825763 11.895566 11.964478 12.032526 12.099738 12.166146 12.231794 12.296743 12.361076 12.424896 12.488322 12.551487 12.614524 12.677557 12.740696 12.804025 12.867602 12.93146 12.995605 13.060026 13.124701 13.1896 13.254699 13.319976 13.385416 13.451014 13.516771 13.582697 13.648802 13.715099 13.781602 13.84832 13.915265 13.982446 14.049873 14.117562 14.185525 14.253776 14.322327 14.391184 14.460352 14.529833 14.599633 14.66977 14.740277 14.811205 14.882629 14.954647 15.02738 15.100967 15.175561 15.251322 15.328407 15.406967 15.48713 15.569009 15.65269 15.738253 15.825773 15.915333 16.007008 16.100857 16.19694 16.295315 16.396034 16.499136 16.60461 16.71242 16.822506 16.934835 17.049395 17.166193 17.285267 17.406698 17.530622 17.657211 17.786724 17.919535 18.056147 18.197147 18.34306 18.494116 18.65007 18.810175 18.973286 19.138115 19.303547 19.468857 19.633732 19.798166 19.962254 20.126287 20.290924 20.456875 20.62437 20.793032 20.962208 21.13129 21.299614 21.46664 21.632301 21.796524 21.958616 22.117516 22.271872 22.419739 22.558718 22.686811 22.803293 22.908531 23.003632 23.09019 23.169651 23.243088 23.311333 23.37459 23.432335 23.483643 23.527912 23.565626 23.59798 23.626492 23.652645 23.676735 23.69831 23.717495 23.734697 23.750378 23.7652 23.77959 23.793613 23.807253 23.820372 23.832747 23.844252 23.854742 23.864021 23.872288 23.880005 23.88715 23.893171 23.897533 23.900085 23.901169 23.901316 23.900911 23.900238 23.899448 23.898499 23.897282 23.89581 23.8942 23.89258 23.890999 23.889385 23.887611 23.885567 23.883268 23.880903 23.87877 23.877169 23.876316 23.876245 23.876787 23.877712 23.878849 23.880089 23.881254 23.882 23.881996 23.881254 23.880129 23.878994 23.878149 23.877909 23.878471 23.879799 23.881775 23.884323 23.887344 23.890701 23.894304 23.898157 23.902298 23.90671 23.911316 23.916027 23.920809 23.925682 23.930626 23.935444 23.939735 23.943144 23.945665 23.947561 23.949059 23.950281 23.951307 23.9522 23.952988 23.953693 23.954338 23.95495 23.955563 23.956207 23.956913 23.957695 23.958555 23.959467 23.960388 23.961271 23.962072 23.962753 23.963295 23.963717 23.96405 23.964314 23.964535 23.964737 23.964935 23.965132 23.965328 23.965525 23.96572 23.965914 23.966108 23.966301 23.966494 23.966684 23.966875 23.967066 23.967255 23.967443 23.96763 23.96782 23.968004 23.968191 23.968376 23.968561 23.968744 23.968927 23.96911 23.969292 23.969475 23.969654 23.969835 23.970015 23.970192 23.970371 23.970549 23.970724 23.970901 23.971077 23.97125 23.971426 23.9716 23.971773 23.971945 23.972116 23.972288 23.972458 23.972628 23.972797 23.972965 23.973133 23.9733 23.973469 23.973635 23.9738 23.973965 23.974129 23.974293 23.974457 23.974619 23.974781 23.974941 23.975103 23.975264 23.975422 23.975582 23.97574 23.975897 23.976055 23.976212 23.976368 23.976522 23.976677 23.976831 (5) Re_theta = 800 --- Re_dstar = 134526.87188528824 --- Re_d99 =652384.0501296456 -- Re_X = 514117.6 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.29678658 0.59576654 0.8970221 1.2006369 1.5066948 1.8152795 2.1264734 2.4403565 2.7570043 3.0764878 3.3988707 3.7242105 4.052556 4.3839464 4.718414 5.05598 5.3966594 5.7404575 6.0873733 6.437397 6.790517 7.146712 7.505961 7.8682365 8.233511 8.601754 8.972936 9.347023 9.723986 10.103792 10.486415 10.871827 11.260002 11.650915 12.044546 12.440874 12.839883 13.241558 13.6458845 14.052855 14.462459 14.874692 15.289551 15.707035 16.127146 16.549885 16.975256 17.403265 17.833916 18.267218 18.703178 19.141813 19.583136 20.027168 20.47393 20.923447 21.375732 21.830805 22.28867 22.749332 23.2128 23.67908 24.148195 24.620188 25.095123 25.573078 26.054136 26.53837 27.025818 27.516472 28.010265 28.507078 29.006762 29.509178 30.014252 30.522034 31.032759 31.546883 32.065098 32.588314 33.117622 33.654224 34.199337 34.75412 35.319588 35.896584 36.48574 37.087486 37.702103 38.329754 38.970547 39.624577 40.291996 40.97298 41.66779 42.376724 43.100117 43.838337 44.591736 45.360676 46.145493 46.946526 47.7641 48.598545 49.450203 50.31942 51.206554 52.11198 53.03608 53.97924 54.941864 55.92435 56.92711 57.95056 58.995132 60.061256 61.149387 62.260002 63.393566 64.550575 65.73154 66.93696 68.1674 69.4234 70.70557 72.0145 73.35086 74.715294 76.108505 77.53117 78.98402 80.467735 81.98307 83.53079 85.11172 86.72667 88.376564 90.06226 91.78468 93.54463 95.342896 97.180244 99.057434 100.9752 102.93428 104.93537 106.97928 109.06687 111.19915 113.37722 115.602264 117.875496 120.19822 122.571815 124.99759 127.47664 130.01004 132.59904 135.24509 137.94972 140.71451 143.54106 146.43112 149.3867 152.4102 155.50392 158.66998 161.91046 165.22765 168.62384 172.10086 175.66002 179.30275 183.03094 186.84648 190.75049 194.74336 198.82579 202.99985 207.26872 211.63634 216.1077 220.6876 225.37872 230.17963 235.08305 240.07585 245.14142 250.26207 255.42041 260.5996 265.7849 270.96533 276.13422 281.2885 286.42783 291.5526 296.66302 301.75967 306.84387 311.9173 316.98145 322.0376 327.0868 332.1291 337.16306 342.18655 347.1988 352.2009 357.19382 362.17697 367.14996 372.11307 377.06464 382.0017 386.9222 391.82684 396.71854 401.60028 406.47397 411.3405 416.1998 421.05194 425.89786 430.73837 435.57443 440.4067 445.23532 450.0597 454.87943 459.69476 464.5057 469.3122 474.11404 478.91107 483.7029 488.48962 493.27158 498.04886 502.82098 507.5875 512.34863 517.10504 521.8572 526.6061 531.3537 536.1015 540.8502 545.60034 550.3528 555.1075 559.86273 564.61633 569.3671 574.1144 578.85706 583.5951 588.3295 593.0612 597.7907 602.51825 607.24316 611.9646 616.68164 621.39325 626.09875 630.7991 635.49603 640.1897 644.87897 649.564 654.24774 658.93164 663.6155 668.29895 672.9819 677.6638 682.34436 687.02344 691.70087 696.37683 701.0519 705.7264 710.4004 715.07434 719.7488 724.4241 729.1005 733.7787 738.459 743.1418 747.82733 752.51514 757.20416 761.8928 766.5802 771.26556 775.9484 780.6288 785.30725 789.98376 794.6573 799.3267 803.9908 808.64996 813.3054 817.9584 822.60986 827.2605 831.9105 836.56 841.2088 845.85693 850.50464 855.15173 859.7986 864.4452 869.0905 873.73236 878.3702 883.005 887.6384 892.27094 896.9027 901.5339 906.16437 910.79425 915.42346 920.05225 924.6803 929.3079 933.935 938.5616 943.18774 947.8134 952.4386 957.0634 961.6878 966.31177 970.9355 975.5588 980.18176 984.80444 989.4269 994.0491 998.671 1003.29266 1007.9142 1012.53546 1017.1566 1021.77765 1026.3986 1031.0193 1035.6399 1040.2606 1044.8812 1049.5017 0.2970505 0.5965621 0.89851105 1.2028669 1.5094341 1.8179789 2.1281276 2.4394443 2.7513926 3.0633745 3.3747392 3.6847947 3.9928446 4.298179 4.600125 4.898023 5.1912785 5.4793334 5.7617054 6.0379653 6.3077607 6.5707974 6.826853 7.075761 7.317416 7.5517654 7.778802 7.9985647 8.211126 8.416595 8.615103 8.806807 8.991879 9.170512 9.3429 9.509252 9.669777 9.824688 9.974199 10.118523 10.257867 10.392437 10.522434 10.648055 10.769487 10.886914 11.000512 11.110451 11.216891 11.319989 11.419892 11.516744 11.610679 11.701826 11.79031 11.876247 11.959749 12.040919 12.119856 12.196654 12.271402 12.344186 12.41509 12.484198 12.55159 12.617349 12.68155 12.744264 12.805553 12.865474 12.92407 12.981379 13.037434 13.092268 13.145921 13.198442 13.249899 13.300373 13.349962 13.39878 13.446942 13.494569 13.541767 13.588633 13.6352415 13.681646 13.727882 13.773964 13.819895 13.865668 13.911277 13.956711 14.001967 14.047046 14.091951 14.136693 14.181283 14.225733 14.270056 14.314263 14.358364 14.402367 14.446276 14.490096 14.533828 14.577473 14.621031 14.664505 14.707897 14.751212 14.794452 14.83762 14.880716 14.923744 14.966708 15.009614 15.052472 15.095292 15.138082 15.180852 15.223618 15.266402 15.30924 15.352181 15.39528 15.4386 15.482204 15.526161 15.570537 15.615405 15.660838 15.706902 15.753653 15.8011465 15.849445 15.898618 15.948743 15.999894 16.05213 16.105484 16.159966 16.215557 16.272238 16.329985 16.388765 16.44855 16.509312 16.571066 16.63387 16.697819 16.763016 16.829567 16.897562 16.967043 17.038004 17.110424 17.184288 17.259575 17.336235 17.414225 17.493544 17.574287 17.656607 17.74068 17.826694 17.91485 18.00533 18.098257 18.193624 18.291285 18.391075 18.492933 18.596855 18.702787 18.810614 18.920063 19.030558 19.141294 19.251465 19.360378 19.467539 19.572836 19.67649 19.778538 19.878561 19.976046 20.070621 20.161777 20.248695 20.33052 20.40671 20.477304 20.5429 20.604185 20.66158 20.715189 20.76504 20.811407 20.85471 20.8952 20.932934 20.9679 21.000168 21.029947 21.057442 21.082745 21.105988 21.127481 21.147617 21.166637 21.184582 21.20132 21.21651 21.229727 21.240843 21.250166 21.258188 21.26534 21.271896 21.278027 21.283897 21.289667 21.295359 21.300846 21.306015 21.310835 21.315327 21.319517 21.32343 21.327084 21.330448 21.333479 21.3362 21.33869 21.340998 21.343115 21.345007 21.346664 21.3481 21.349325 21.350351 21.351202 21.351875 21.352318 21.352472 21.352354 21.352066 21.351744 21.351467 21.351223 21.350958 21.350603 21.35002 21.34901 21.347498 21.34555 21.34326 21.340714 21.337997 21.33519 21.332422 21.32993 21.327978 21.326746 21.326248 21.326439 21.327314 21.328787 21.330713 21.333069 21.335743 21.33839 21.34078 21.342958 21.345013 21.34696 21.348835 21.350714 21.352657 21.354687 21.356802 21.359026 21.361414 21.36401 21.366777 21.369614 21.372381 21.374989 21.377432 21.3798 21.382183 21.384567 21.386845 21.388918 21.390705 21.392134 21.393179 21.3939 21.39438 21.394682 21.39485 21.39492 21.394957 21.395033 21.395195 21.395445 21.39577 21.396158 21.396606 21.39711 21.397661 21.398243 21.398834 21.39942 21.39999 21.400545 21.401066 21.401493 21.401781 21.401958 21.402094 21.402222 21.40235 21.402475 21.402603 21.402729 21.402855 21.402979 21.403105 21.40323 21.403355 21.403479 21.403603 21.403727 21.40385 21.403975 21.404097 21.404219 21.404343 21.404465 21.404587 21.404707 21.404829 21.40495 21.405071 21.405191 21.405312 21.405432 21.405552 21.40567 21.40579 21.405909 21.406027 21.406145 21.406263 21.406382 21.406498 (6) Re_theta = 900 --- Re_dstar = 147895.2583427814 --- Re_d99 =792167.4286949006 -- Re_X = 565264.7 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.2904193 0.5829468 0.8776563 1.1746231 1.4739236 1.7756342 2.0798314 2.3865902 2.6959836 3.0080822 3.322951 3.6406515 3.9612389 4.2847614 4.6112623 4.9407754 5.2733297 5.6089454 5.9476376 6.289413 6.634274 6.9822164 7.333232 7.6873074 8.044427 8.40457 8.767715 9.133841 9.502917 9.874923 10.24983 10.627615 11.008252 11.391717 11.7779875 12.167041 12.558858 12.953422 13.350713 13.75072 14.153428 14.558827 14.966911 15.377673 15.791107 16.207212 16.625988 17.047432 17.471542 17.898329 18.32779 18.759935 19.194777 19.63233 20.072613 20.51564 20.96143 21.40999 21.861326 22.31544 22.772331 23.232012 23.694498 24.159826 24.628061 25.099274 25.573547 26.050947 26.531511 27.015226 27.502024 27.991785 28.484362 28.979609 29.477453 29.977942 30.481304 30.987982 31.498657 32.014225 32.53575 33.064426 33.60143 34.14791 34.704865 35.273117 35.853283 36.445786 37.05089 37.66876 38.29949 38.94318 39.599957 40.27 40.953556 41.650913 42.362396 43.088364 43.82916 44.58513 45.3566 46.143913 46.947372 47.767307 48.60406 49.457977 50.32941 51.21875 52.12637 53.05268 53.99808 54.96299 55.947826 56.95303 57.97903 59.02628 60.09521 61.1863 62.299995 63.43678 64.59714 65.78157 66.990585 68.22471 69.48448 70.770485 72.083275 73.42346 74.79163 76.188385 77.614365 79.07019 80.55652 82.07403 83.623375 85.20524 86.82034 88.469406 90.15321 91.87255 93.62823 95.42097 97.251526 99.12067 101.02924 102.97812 104.96821 107.000404 109.0757 111.19512 113.35979 115.57082 117.82935 120.1365 122.49337 124.90104 127.36059 129.87305 132.43945 135.06093 137.73882 140.47447 143.26936 146.12495 149.04285 152.0245 155.07138 158.18517 161.36772 164.62077 167.94572 171.34369 174.81598 178.36389 181.98865 185.6917 189.47517 193.3419 197.29518 201.3388 205.477 209.71394 214.05275 218.49416 223.03558 227.67175 232.39464 237.19316 242.05421 246.9639 251.90796 256.87247 261.84546 266.81903 271.78937 276.755 281.71655 286.6755 291.63278 296.58926 301.54678 306.50693 311.46967 316.4338 321.39752 326.35968 331.31967 336.27676 341.23007 346.1791 351.1237 356.064 360.99994 365.9309 370.8564 375.77615 380.68982 385.59656 390.4956 395.387 400.27084 405.14676 410.01434 414.87378 419.7258 424.57123 429.41016 434.24185 439.06552 443.88058 448.68674 453.4837 458.27176 463.05164 467.82397 472.58905 477.34668 482.09653 486.83835 491.57233 496.2987 501.01755 505.72897 510.43335 515.1313 519.82306 524.5088 529.1885 533.8624 538.53107 543.19495 547.8544 552.5101 557.16254 561.8124 566.46 571.10547 575.7487 580.38983 585.02893 589.6659 594.3 598.9307 603.5582 608.1828 612.805 617.4253 622.0441 626.66156 631.2779 635.8925 640.5053 645.1164 649.72614 654.33484 658.9421 663.54736 668.1497 672.7489 677.3449 681.9381 686.5289 691.11743 695.7041 700.28894 704.8718 709.4525 714.031 718.6071 723.18097 727.7529 732.32355 736.89325 741.46246 746.0309 750.59845 755.16534 759.7315 764.2968 768.86127 773.42505 777.9883 782.5515 787.1145 791.6769 796.2381 800.798 805.3565 809.9137 814.4696 819.0242 823.57745 828.1293 832.68 837.2297 841.7788 846.3276 850.8761 855.42444 859.97284 864.52136 869.0704 873.6202 878.17053 882.7212 887.27155 891.8214 896.3704 900.9188 905.4665 910.0135 914.559 919.10236 923.6432 928.1816 932.7179 937.2526 941.7866 946.3207 950.8554 955.3907 959.92664 964.4628 968.9987 973.5337 978.0667 982.59735 987.12585 991.65314 996.17957 1000.7058 1005.2318 1009.7577 1014.28345 1018.80927 1023.33496 1027.8606 0.29063734 0.5836267 0.8789666 1.1766495 1.4765463 1.7784978 2.0822387 2.387451 2.6937351 3.0006356 3.3076453 3.614212 3.9197645 4.2237067 4.525453 4.8244143 5.120035 5.4117775 5.699152 5.9817014 6.259024 6.5307612 6.7966094 7.0563145 7.309673 7.5565295 7.7967744 8.030342 8.257204 8.47737 8.69088 8.897803 9.098233 9.292286 9.48009 9.661794 9.837553 10.007535 10.171912 10.33086 10.484558 10.633187 10.776928 10.9159565 11.050451 11.180584 11.306523 11.428433 11.5464735 11.660799 11.77156 11.8789 11.982959 12.083874 12.181774 12.276783 12.36902 12.458597 12.545621 12.630193 12.712409 12.792363 12.870149 12.945854 13.019569 13.09138 13.16137 13.229614 13.296183 13.361132 13.424513 13.486366 13.54673 13.605642 13.663148 13.719305 13.774186 13.827884 13.880505 13.932171 13.983009 14.033146 14.082696 14.131761 14.180419 14.228727 14.27672 14.324414 14.37181 14.418902 14.465681 14.5121355 14.558261 14.604053 14.649513 14.694648 14.739462 14.783966 14.828167 14.872073 14.915692 14.959034 15.002109 15.0449295 15.087513 15.129877 15.172041 15.214026 15.2558565 15.297554 15.339143 15.380647 15.422091 15.463498 15.504891 15.54629 15.587711 15.629166 15.670665 15.712214 15.753825 15.79551 15.837287 15.879176 15.9212055 15.963405 16.005804 16.048433 16.091326 16.13451 16.17802 16.221886 16.266134 16.310781 16.35584 16.401316 16.447216 16.493557 16.54037 16.587687 16.635536 16.683933 16.73289 16.782421 16.83256 16.883347 16.934818 16.98702 17.040009 17.093828 17.148514 17.20407 17.26049 17.317766 17.375895 17.434862 17.494633 17.555172 17.616459 17.678532 17.741482 17.805435 17.8705 17.936745 18.004208 18.072927 18.14294 18.214249 18.286804 18.360516 18.43531 18.511208 18.588266 18.66644 18.745605 18.825686 18.906664 18.988537 19.071243 19.154655 19.238722 19.323492 19.408953 19.494947 19.581238 19.66764 19.753958 19.83983 19.924736 20.008099 20.08938 20.168169 20.244263 20.3177 20.388613 20.45704 20.522987 20.586546 20.647861 20.707048 20.764187 20.81933 20.872492 20.923626 20.972692 21.019728 21.06475 21.107725 21.148685 21.187796 21.225258 21.261219 21.295717 21.328724 21.360222 21.390203 21.41866 21.445612 21.471117 21.495213 21.517952 21.539398 21.559605 21.578585 21.596354 21.612957 21.628454 21.642883 21.656277 21.668682 21.680164 21.690804 21.700682 21.709852 21.718334 21.726141 21.733297 21.739841 21.745806 21.75124 21.756195 21.760702 21.764784 21.768465 21.771782 21.77477 21.777473 21.779934 21.782179 21.784239 21.786135 21.787886 21.789503 21.790995 21.792362 21.793608 21.794754 21.795835 21.796879 21.797897 21.798895 21.79986 21.800745 21.80147 21.801952 21.802155 21.802065 21.801678 21.801012 21.800106 21.799011 21.797781 21.796488 21.79519 21.79393 21.792727 21.791594 21.790546 21.789593 21.788742 21.788021 21.787485 21.78719 21.787159 21.7874 21.787878 21.788532 21.789286 21.79008 21.790886 21.791702 21.792534 21.793398 21.794312 21.79531 21.796423 21.797667 21.799015 21.800434 21.801895 21.803385 21.804892 21.806395 21.807858 21.809254 21.81057 21.81182 21.813015 21.814177 21.81531 21.81641 21.817476 21.81851 21.819529 21.820549 21.821579 21.82261 21.82364 21.824667 21.825686 21.826698 21.827702 21.828693 21.829666 21.830608 21.831501 21.832325 21.833061 21.833706 21.834267 21.834743 21.835129 21.835424 21.835659 21.835878 21.836123 21.836416 21.836767 21.83717 21.837606 21.838053 21.838488 21.83889 21.839245 21.83954 21.839762 21.839905 21.839989 21.840046 21.840092 21.840136 21.84018 21.840221 21.840265 21.840307 21.84035 21.840391 (7) Re_theta = 1000 --- Re_dstar = 162691.82086120007 --- Re_d99 =913446.8539325843 -- Re_X = 613476.0 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.28581148 0.5736667 0.86363447 1.1557852 1.45019 1.7469202 2.046048 2.3476436 2.651776 2.958512 3.267914 3.5800412 3.8949468 4.2126794 4.5332804 4.8567863 5.183225 5.512621 5.84499 6.1803417 6.5186825 6.860011 7.204324 7.55161 7.9018583 8.2550535 8.611177 8.970211 9.332131 9.696918 10.064547 10.434997 10.808247 11.184273 11.563055 11.944574 12.328811 12.715749 13.105371 13.497665 13.892617 14.290217 14.690458 15.093334 15.498838 15.90697 16.317726 16.731104 17.147104 17.565733 17.986986 18.41088 18.837418 19.266619 19.6985 20.133074 20.570358 21.010365 21.453093 21.898548 22.34673 22.797647 23.25132 23.707785 24.1671 24.629341 25.094587 25.562902 26.034327 26.508848 26.986397 27.466858 27.950087 28.435946 28.924364 29.415388 29.909245 30.406374 30.907448 31.413343 31.92512 32.44394 32.97097 33.50734 34.054035 34.611866 35.181442 35.763184 36.357357 36.96412 37.583576 38.21582 38.86099 39.519257 40.190872 40.876118 41.57532 42.288834 43.016994 43.76015 44.518627 45.292744 46.082813 46.889153 47.712093 48.55197 49.409126 50.283936 51.17676 52.087994 53.018024 53.96725 54.936077 55.92493 56.934227 57.96441 59.015915 60.089207 61.184742 62.302994 63.44444 64.60955 65.79882 67.01272 68.25176 69.51648 70.80741 72.12513 73.47025 74.843376 76.24517 77.676254 79.13727 80.628845 82.15158 83.70612 85.29316 86.913376 88.56755 90.256424 91.980774 93.74136 95.53898 97.37442 99.248535 101.16213 103.11608 105.11123 107.14846 109.22868 111.35282 113.5218 115.73652 117.99793 120.30708 122.66509 125.07314 127.53241 130.04407 132.60925 135.2291 137.9046 140.63692 143.4273 146.27713 149.18777 152.16081 155.19815 158.30191 161.47401 164.7161 168.02917 171.41391 174.87079 178.40074 182.00519 185.68616 189.44623 193.28868 197.21725 201.23567 205.34747 209.55524 213.85979 218.2594 222.7495 227.32286 231.96977 236.67815 241.43425 246.22435 251.03645 255.86084 260.6903 265.52008 270.3476 275.17255 279.99637 284.8211 289.64862 294.48077 299.3187 304.16278 309.01297 313.86847 318.7273 323.58704 328.4462 333.3045 338.16202 343.01852 347.87347 352.7266 357.57785 362.42694 367.27362 372.118 376.9596 381.79782 386.6326 391.464 396.2916 401.11478 405.93292 410.74554 415.55222 420.3522 425.145 429.93048 434.709 439.481 444.24634 449.00473 453.75616 458.5008 463.23865 467.96988 472.69424 477.41147 482.12198 486.82645 491.52548 496.2196 500.9094 505.5952 510.27725 514.9554 519.6294 524.2989 528.9637 533.6236 538.2784 542.92786 547.57184 552.21 556.8422 561.4687 566.0898 570.7058 575.31696 579.92334 584.52484 589.1212 593.71265 598.29913 602.8807 607.45746 612.0297 616.5976 621.16144 625.7211 630.27704 634.8293 639.3783 643.9243 648.4674 653.0077 657.5451 662.0798 666.61163 671.1407 675.66693 680.1906 684.7121 689.2315 693.749 698.26465 702.77844 707.29065 711.80133 716.3107 720.819 725.326 729.8319 734.3367 738.8402 743.3428 747.8443 752.3449 756.8447 761.3437 765.84155 770.33826 774.83356 779.32733 783.8193 788.30945 792.79767 797.284 801.76855 806.2514 810.7326 815.2123 819.6906 824.1675 828.6429 833.1168 837.58936 842.06036 846.52985 850.9979 855.4648 859.9305 864.39496 868.8584 873.3207 877.7821 882.2431 886.7043 891.16595 895.6286 900.09247 904.5575 909.0235 913.49023 917.9575 922.42523 926.89325 931.3614 935.82965 940.2978 944.76605 949.23456 953.70337 958.1728 962.6428 967.1138 971.5855 976.05804 980.5309 985.0039 989.4766 993.9488 998.4203 1002.8907 1007.3595 1011.8263 0.28601462 0.5743266 0.8649366 1.1578391 1.4529192 1.7500339 2.0489428 2.3493576 2.6509128 2.95319 3.2557197 3.5579872 3.8594563 4.159563 4.457748 4.7534456 5.0461187 5.3352423 5.620334 5.9009423 6.1766653 6.447141 6.712061 6.9711604 7.2242246 7.4710855 7.7116165 7.945735 8.173393 8.394582 8.60932 8.817656 9.019659 9.215426 9.405067 9.588708 9.766485 9.938549 10.105055 10.266163 10.422039 10.572851 10.718767 10.859956 10.996584 11.128817 11.256814 11.380736 11.500737 11.616966 11.72957 11.838692 11.944469 12.047036 12.146522 12.243051 12.336741 12.427708 12.516057 12.601892 12.685315 12.76642 12.845304 12.92206 12.996782 13.069563 13.140489 13.2096405 13.277092 13.342905 13.407133 13.46982 13.531009 13.590739 13.649062 13.7060375 13.761745 13.816282 13.869762 13.922314 13.97407 14.025164 14.075717 14.125836 14.175607 14.225088 14.274318 14.323316 14.372084 14.420616 14.468902 14.516932 14.564697 14.612195 14.659428 14.706401 14.753121 14.799601 14.845849 14.891878 14.937698 14.983322 15.02876 15.074021 15.119116 15.164053 15.208838 15.253481 15.297986 15.342361 15.386617 15.430762 15.474814 15.518792 15.562719 15.606617 15.650511 15.694423 15.738371 15.782369 15.82643 15.870563 15.914778 15.959087 16.003511 16.048073 16.092804 16.13774 16.182915 16.228376 16.274162 16.320309 16.366835 16.413748 16.461035 16.508678 16.556664 16.604992 16.653673 16.702734 16.752193 16.802065 16.85234 16.902998 16.954014 17.005362 17.057028 17.109009 17.161312 17.213959 17.266989 17.320442 17.374342 17.428696 17.483501 17.538763 17.594492 17.65072 17.707504 17.76492 17.823023 17.881859 17.94147 18.001904 18.06321 18.125463 18.188755 18.253159 18.318693 18.385307 18.452927 18.521461 18.590813 18.660881 18.731617 18.803032 18.875134 18.94788 19.021204 19.095032 19.169355 19.24428 19.31985 19.395943 19.472404 19.549124 19.625986 19.702854 19.77956 19.855902 19.931671 20.006624 20.080492 20.153063 20.22426 20.294113 20.362593 20.42953 20.494738 20.558134 20.619719 20.67951 20.73757 20.793993 20.848845 20.902075 20.953579 21.003286 21.051224 21.097502 21.142223 21.185448 21.227264 21.267763 21.307003 21.345045 21.381939 21.417688 21.452286 21.485746 21.518091 21.549316 21.579418 21.608389 21.636206 21.662827 21.68824 21.712475 21.735598 21.757708 21.778883 21.799139 21.818474 21.836931 21.854576 21.871468 21.887646 21.903166 21.918104 21.93251 21.9464 21.959768 21.97261 21.984922 21.996693 22.00791 22.01855 22.028591 22.03802 22.046824 22.054987 22.0625 22.06938 22.075657 22.081379 22.086592 22.091343 22.095667 22.099594 22.103159 22.106415 22.109419 22.112225 22.11486 22.117346 22.119688 22.121902 22.123991 22.125954 22.127785 22.129484 22.131054 22.132498 22.133816 22.135004 22.13605 22.136934 22.137642 22.138159 22.138475 22.138592 22.138517 22.138262 22.137846 22.137291 22.13662 22.135859 22.13503 22.134155 22.13324 22.13229 22.131306 22.130297 22.129282 22.12829 22.127363 22.126541 22.125858 22.125334 22.124973 22.12477 22.1247 22.124748 22.124893 22.125116 22.125404 22.125746 22.126137 22.126583 22.127085 22.127647 22.128262 22.128912 22.129591 22.130285 22.130993 22.131714 22.132454 22.13322 22.134024 22.134872 22.13578 22.136757 22.137815 22.138956 22.140179 22.141474 22.142824 22.144213 22.145617 22.147026 22.148428 22.14982 22.151197 22.152561 22.1539 22.155197 22.156427 22.15757 22.158607 22.15953 22.16034 22.161032 22.161613 22.1621 22.162508 22.162857 22.16317 22.16347 22.163773 22.16409 22.164427 22.164785 22.165163 22.165556 22.16595 22.166336 (8) Re_theta = 1100 --- Re_dstar = 177872.62539465923 --- Re_d99 =1.0167214347450302e6 -- Re_X = 662105.3999999999 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.2817131 0.56540906 0.85115266 1.1390098 1.4290475 1.7213329 2.0159335 2.3129153 2.6123435 2.9142807 3.2187862 3.5259156 3.8357205 4.148247 4.4635344 4.781619 5.1025295 5.426289 5.7529154 6.0824194 6.414809 6.750086 7.0882483 7.4292893 7.7732005 8.119969 8.469582 8.8220215 9.177271 9.53531 9.896122 10.259686 10.625985 10.995 11.366711 11.741103 12.118159 12.497867 12.880208 13.265175 13.652755 14.042939 14.435721 14.831097 15.229061 15.629612 16.03275 16.438469 16.846773 17.257668 17.671146 18.087227 18.50591 18.92722 19.351164 19.777761 20.207026 20.638964 21.073584 21.510881 21.950861 22.393528 22.838902 23.287016 23.73793 24.191715 24.64845 25.108198 25.571 26.036839 26.505651 26.977327 27.451721 27.9287 28.408194 28.890251 29.375092 29.86315 30.35508 30.851748 31.354189 31.863543 32.38096 32.907543 33.444263 33.99191 34.55109 35.12221 35.705536 36.301228 36.90938 37.5301 38.163517 38.8098 39.469196 40.14199 40.82849 41.529045 42.243977 42.973625 43.718296 44.47831 45.253956 46.04555 46.85341 47.677864 48.51925 49.37793 50.25427 51.148655 52.061474 52.993126 53.94402 54.91459 55.905247 56.91644 57.948605 59.00219 60.077644 61.17542 62.29598 63.43978 64.60731 65.79904 67.01552 68.25728 69.524864 70.81885 72.13982 73.48832 74.86497 76.27035 77.70507 79.169785 80.66514 82.1918 83.75046 85.34179 86.9665 88.62528 90.31888 92.04803 93.81351 95.6161 97.45661 99.33583 101.25459 103.21376 105.21425 107.256966 109.34283 111.47275 113.64767 115.86855 118.13643 120.452354 122.817444 125.23279 127.69945 130.21848 132.79092 135.41788 138.10042 140.83978 143.63744 146.49486 149.41356 152.39516 155.44133 158.55353 161.73305 164.98074 168.29742 171.68399 175.14171 178.67224 182.27762 185.96011 189.72263 193.56885 197.50294 201.5287 205.64867 209.86362 214.17146 218.56708 223.04251 227.58766 232.19072 236.83871 241.51817 246.21686 250.9256 255.63869 260.3526 265.0649 269.77472 274.4827 279.191 283.90247 288.61926 293.34198 298.0701 302.80313 307.5401 312.28003 317.02252 321.7673 326.5135 331.2604 336.0082 340.75726 345.50818 350.2614 355.01675 359.7734 364.53113 369.28992 374.04984 378.8107 383.57184 388.33215 393.09076 397.84705 402.60028 407.3501 412.09644 416.8393 421.57822 426.3123 431.0406 435.76242 440.47763 445.18622 449.8883 454.58432 459.2748 463.96017 468.64053 473.31616 477.98697 482.65292 487.31403 491.97028 496.62158 501.2679 505.90936 510.54608 515.1779 519.8047 524.426 529.042 533.6529 538.25934 542.8617 547.4605 552.05615 556.64874 561.238 565.8237 570.4058 574.9843 579.55914 584.1304 588.69794 593.26154 597.8211 602.37616 606.9264 611.472 616.01294 620.54956 625.08185 629.6096 634.1326 638.6507 643.1639 647.6724 652.1766 656.6766 661.1725 665.6643 670.1521 674.63586 679.116 683.5929 688.0667 692.5379 697.0066 701.4727 705.9362 710.39685 714.8546 719.3097 723.7619 728.2115 732.65857 737.10315 741.5452 745.98486 750.42236 754.8578 759.29156 763.7237 768.1544 772.58374 777.0117 781.4383 785.8635 790.28754 794.7103 799.132 803.55255 807.9721 812.3905 816.80786 821.22406 825.6389 830.05225 834.4639 838.8738 843.282 847.6884 852.0932 856.4965 860.89825 865.2988 869.6981 874.09644 878.49365 882.88995 887.2852 891.6796 896.0731 900.46594 904.8584 909.2508 913.64355 918.0369 922.43115 926.8262 931.22205 935.6189 940.0167 944.41565 948.8158 953.2173 957.6202 962.0244 966.4298 970.8365 975.244 979.65216 984.06067 988.4694 992.87823 997.2871 0.28190556 0.56604266 0.85241044 1.1410022 1.4317067 1.7243857 2.0188096 2.3147018 2.6117144 2.909448 3.2074559 3.5052483 3.8023152 4.0981193 4.3921275 4.6838 4.972622 5.2580895 5.539737 5.8171277 6.089869 6.3576074 6.620037 6.876895 7.1279645 7.3730726 7.612087 7.8449163 8.071506 8.291834 8.505908 8.713768 8.915472 9.111103 9.300758 9.484556 9.66262 9.83509 10.002109 10.16383 10.320408 10.472001 10.61877 10.760874 10.898472 11.031721 11.160775 11.285786 11.406901 11.524264 11.638017 11.748293 11.855227 11.958948 12.05958 12.157244 12.252052 12.344118 12.433545 12.520433 12.604881 12.686983 12.766834 12.844526 12.920155 12.993809 13.0655775 13.135544 13.203783 13.270358 13.335326 13.398734 13.460625 13.521043 13.580039 13.637674 13.694029 13.749198 13.803295 13.856446 13.908784 13.960438 14.011528 14.0621605 14.112417 14.162356 14.212018 14.261419 14.310567 14.359456 14.408081 14.456438 14.504525 14.552344 14.599904 14.647213 14.6942835 14.741129 14.787762 14.834193 14.880434 14.926497 14.972392 15.01813 15.063722 15.109176 15.154504 15.199718 15.244832 15.289865 15.334838 15.379779 15.424717 15.469679 15.514694 15.559784 15.604966 15.65025 15.695639 15.741125 15.786699 15.832355 15.878085 15.923893 15.969788 16.015776 16.061872 16.10809 16.15445 16.200985 16.24773 16.294725 16.342005 16.389597 16.437529 16.48582 16.534487 16.583529 16.632946 16.68273 16.732874 16.78338 16.834255 16.885513 16.937164 16.989204 17.041649 17.094524 17.147879 17.201748 17.256165 17.311142 17.366678 17.422752 17.479345 17.536469 17.594147 17.65238 17.71114 17.77037 17.830015 17.890053 17.950531 18.011545 18.07318 18.13545 18.198345 18.26183 18.325867 18.39043 18.4555 18.521044 18.587059 18.653563 18.72055 18.788025 18.856014 18.924524 18.993551 19.063093 19.13316 19.20376 19.274921 19.346632 19.41878 19.491243 19.563936 19.636705 19.709332 19.781555 19.853134 19.92391 19.99384 20.062881 20.130955 20.197996 20.263956 20.328693 20.392027 20.453835 20.514137 20.573072 20.630844 20.687597 20.743404 20.798359 20.852556 20.905941 20.958357 21.0097 21.059938 21.109005 21.156845 21.203455 21.248844 21.293003 21.335936 21.377697 21.418339 21.457874 21.4963 21.533632 21.569908 21.605135 21.639288 21.672348 21.704329 21.73524 21.76508 21.79384 21.821537 21.848213 21.873928 21.898746 21.922722 21.945911 21.96836 21.990126 22.011257 22.031763 22.05159 22.070684 22.089043 22.106695 22.123663 22.13997 22.155664 22.170813 22.185484 22.19972 22.213541 22.226954 22.239965 22.252575 22.264761 22.276499 22.28777 22.298561 22.308868 22.318687 22.328016 22.336853 22.345186 22.353004 22.360308 22.367111 22.373436 22.379313 22.384779 22.389874 22.394623 22.399044 22.403147 22.406944 22.410458 22.4137 22.416689 22.419436 22.421959 22.424269 22.426376 22.42829 22.430012 22.431543 22.432886 22.434053 22.435053 22.435892 22.436567 22.43708 22.437437 22.437654 22.43774 22.437706 22.437567 22.437336 22.43703 22.436665 22.436253 22.435812 22.435354 22.434896 22.43444 22.43399 22.433548 22.433115 22.432697 22.432302 22.43194 22.431622 22.43135 22.431128 22.430946 22.430803 22.430695 22.430614 22.430565 22.430553 22.430592 22.430689 22.430851 22.431084 22.431383 22.43175 22.432177 22.432665 22.433208 22.433807 22.434464 22.435184 22.43597 22.436821 22.437727 22.438679 22.439665 22.440676 22.441704 22.442749 22.443815 22.444906 22.44602 22.447165 22.448341 22.449553 22.450794 22.452055 22.453321 22.454569 22.455782 22.456947 22.458057 22.459112 22.460108 22.46105 22.461937 22.462765 22.463524 (9) Re_theta = 1200 --- Re_dstar = 193271.68217208702 --- Re_d99 =1.1109006568712187e6 -- Re_X = 711789.2 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.2775471 0.55701804 0.8384736 1.1219759 1.4075875 1.6953716 1.9853917 2.2777097 2.5723872 2.8694832 3.169054 3.471153 3.7758286 4.0831256 4.393083 4.705736 5.0211134 5.3392386 5.660131 5.9838033 6.310265 6.6395197 6.9715686 7.306408 7.644032 7.9844317 8.327596 8.673511 9.0221615 9.373533 9.72761 10.084375 10.443813 10.805906 11.170639 11.537997 11.907967 12.280534 12.655685 13.033414 13.413708 13.796558 14.181962 14.569914 14.960409 15.353448 15.749029 16.14715 16.547813 16.951023 17.35678 17.76509 18.175968 18.589428 19.005482 19.424149 19.84544 20.26937 20.695936 21.125145 21.556995 21.991495 22.428663 22.868532 23.311161 23.756622 24.204988 24.656324 25.110666 25.568 26.028263 26.491343 26.957098 27.425394 27.896162 28.36945 28.84547 29.32465 29.807629 30.295258 30.78855 31.288626 31.796612 32.313595 32.84052 33.378166 33.927124 34.487797 35.060436 35.6452 36.242184 36.85148 37.47322 38.107574 38.75478 39.415115 40.088886 40.776436 41.478092 42.194187 42.92503 43.670937 44.432205 45.209145 46.002075 46.81132 47.63722 48.48013 49.34041 50.21843 51.11457 52.02921 52.96273 53.91554 54.88803 55.880627 56.89375 57.927845 58.983353 60.060726 61.16044 62.282955 63.42876 64.598335 65.79218 67.01081 68.25474 69.524506 70.82066 72.14376 73.49441 74.87318 76.28066 77.71751 79.1843 80.68172 82.21045 83.77117 85.364624 86.991516 88.65258 90.34854 92.08017 93.84822 95.653496 97.49676 99.37882 101.30047 103.26254 105.26587 107.31135 109.39993 111.53257 113.710236 115.9339 118.204506 120.52308 122.89067 125.30839 127.77735 130.29877 132.8738 135.5036 138.18925 140.9319 143.73283 146.59361 149.51599 152.5016 155.55202 158.66864 161.85258 165.1047 168.42566 171.81628 175.27803 178.81293 182.42342 186.11246 189.88362 193.7408 197.68729 201.72523 205.85522 210.07545 214.38133 218.76534 223.21744 227.72588 232.27823 236.86197 241.46521 246.07802 250.6934 255.30765 259.9194 264.52863 269.1361 273.74356 278.3528 282.96533 287.58185 292.20258 296.8273 301.45532 306.08566 310.71768 315.3515 319.98767 324.6273 329.27118 333.91937 338.57156 343.2272 347.88556 352.5458 357.20724 361.86948 366.53244 371.1962 375.8608 380.5262 385.1922 389.85855 394.52524 399.19254 403.86023 408.5278 413.19446 417.85968 422.52332 427.18494 431.8434 436.4974 441.14627 445.79028 450.43008 455.06604 459.69824 464.3268 468.95154 473.57205 478.1884 482.80057 487.4085 492.01218 496.61188 501.20804 505.8006 510.38922 514.9736 519.55334 524.12836 528.6985 533.26404 537.82544 542.38293 546.9366 551.48627 556.0317 560.57263 565.1094 569.6418 574.17004 578.69415 583.2141 587.73 592.2418 596.74976 601.25397 605.754 610.2499 614.7414 619.22845 623.7113 628.1898 632.66394 637.1334 641.59845 646.0595 650.51715 654.97174 659.4237 663.87286 668.3191 672.76184 677.20105 681.6366 686.06866 690.49756 694.92377 699.3477 703.7695 708.189 712.6061 717.0203 721.4316 725.8396 730.244 734.6448 739.0417 743.43475 747.8243 752.21063 756.5942 760.9749 765.3531 769.72876 774.102 778.4728 782.84106 787.20685 791.57025 795.9316 800.29095 804.64844 809.0041 813.35803 817.7102 822.06085 826.4099 830.7576 835.10394 839.44904 843.7931 848.1361 852.47833 856.81976 861.1606 865.50055 869.8399 874.1786 878.51666 882.8542 887.191 891.52704 895.8625 900.19714 904.531 908.8642 913.19653 917.52826 921.85944 926.1902 930.5207 934.851 939.1815 943.5122 947.8433 952.1749 956.50714 960.8399 965.1732 969.5071 973.8416 978.17676 982.5126 0.27772698 0.5576095 0.8396455 1.1238279 1.4100506 1.6981827 1.9880066 2.2792614 2.5716183 2.8647006 3.1580858 3.4513118 3.7438955 4.035328 4.3251038 4.6127095 4.897654 5.1794558 5.457669 5.7318716 6.001684 6.2667613 6.5268016 6.7815447 7.0307703 7.274301 7.511997 7.7437572 7.9695134 8.189233 8.402908 8.610564 8.8122425 9.008013 9.197957 9.382178 9.560788 9.7339115 9.90168 10.064235 10.22172 10.374285 10.5220785 10.665255 10.803964 10.938356 11.068582 11.194786 11.317115 11.435706 11.550699 11.66223 11.770427 11.875421 11.977333 12.076285 12.172392 12.265761 12.356499 12.444703 12.530471 12.613895 12.695067 12.774078 12.851019 12.925976 12.999035 13.070273 13.139761 13.207561 13.273723 13.338291 13.401307 13.462811 13.522854 13.581498 13.6388235 13.694928 13.749931 13.803961 13.857157 13.909653 13.9615755 14.013035 14.064119 14.114891 14.165393 14.215645 14.265654 14.315417 14.364928 14.414181 14.463171 14.511898 14.560367 14.6085825 14.656556 14.704296 14.751814 14.79912 14.846226 14.893144 14.939888 14.986471 15.032909 15.079217 15.12541 15.171505 15.21752 15.26347 15.30937 15.355234 15.401074 15.446902 15.492728 15.538566 15.58443 15.630337 15.676303 15.722349 15.768494 15.814756 15.861156 15.907704 15.954408 16.001266 16.048277 16.095434 16.14274 16.190195 16.23781 16.285593 16.333557 16.381718 16.430096 16.47872 16.527617 16.576818 16.626345 16.676224 16.726477 16.777122 16.828175 16.879633 16.931492 16.983746 17.036386 17.089409 17.14282 17.196638 17.250893 17.305605 17.360779 17.416403 17.472454 17.528917 17.585794 17.643097 17.700819 17.758944 17.817463 17.876398 17.935768 17.995571 18.055794 18.116426 18.1775 18.239073 18.301203 18.363914 18.427235 18.491167 18.555676 18.620712 18.68629 18.752487 18.819386 18.887041 18.955482 19.02469 19.094599 19.165123 19.236198 19.307775 19.379766 19.452095 19.524689 19.597345 19.669748 19.741613 19.812721 19.882904 19.952074 20.020178 20.087194 20.153149 20.218061 20.281958 20.344845 20.406738 20.46767 20.52769 20.586845 20.645199 20.702818 20.759703 20.8158 20.871067 20.92548 20.978971 21.031448 21.082808 21.132986 21.182013 21.229954 21.27686 21.322783 21.36782 21.412079 21.455572 21.498245 21.540035 21.58087 21.620668 21.659386 21.697018 21.733574 21.76906 21.8035 21.83694 21.869442 21.90106 21.931826 21.961763 21.990923 22.01939 22.04722 22.074417 22.100979 22.126928 22.152273 22.176998 22.201077 22.224457 22.24707 22.268885 22.289928 22.310257 22.329912 22.348932 22.36735 22.38519 22.402473 22.419235 22.435509 22.45133 22.466719 22.481676 22.49619 22.510262 22.523909 22.537148 22.549967 22.562332 22.574203 22.585556 22.59639 22.60673 22.616606 22.626041 22.63505 22.643635 22.6518 22.659546 22.666864 22.673763 22.680265 22.686409 22.692223 22.69771 22.702871 22.707708 22.712236 22.716469 22.720419 22.724087 22.727486 22.730623 22.73351 22.736149 22.738543 22.740698 22.74262 22.74432 22.745811 22.747114 22.748253 22.749235 22.750078 22.750795 22.751408 22.751928 22.752367 22.75273 22.753017 22.753233 22.753384 22.753479 22.753529 22.75354 22.753525 22.753485 22.753426 22.75335 22.753258 22.753153 22.753038 22.752922 22.752806 22.7527 22.752611 22.752548 22.752518 22.752527 22.752584 22.752693 22.75286 22.753082 22.753366 22.753712 22.754118 22.754591 22.755129 22.755724 22.756374 22.757074 22.757818 22.758602 22.759424 22.76028 22.761175 22.762102 22.76306 22.764034 22.765018 22.765997 22.766968 22.76793 22.768877 22.769814 22.770737 22.771648 22.77255 22.773445 22.774336 22.775232 22.776136 (10) Re_theta = 1300 --- Re_dstar = 208618.27657605187 --- Re_d99 =1.1961567588591184e6 -- Re_X = 762337.2 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.27499 0.55186653 0.83068824 1.1115146 1.3944062 1.6794237 1.9666281 2.2560794 2.5478368 2.8419576 3.1384962 3.437504 3.739029 4.043114 4.3497987 4.6591163 4.9710956 5.2857604 5.6031303 5.9232173 6.246032 6.571579 6.89986 7.2308707 7.564607 7.9010606 8.24022 8.582074 8.926607 9.273806 9.623653 9.976136 10.331238 10.688942 11.049234 11.4121 11.777526 12.145499 12.516009 12.889047 13.264602 13.642666 14.023237 14.40631 14.791882 15.179951 15.570518 15.963581 16.359142 16.757204 17.157768 17.560848 17.966446 18.374582 18.78527 19.198526 19.61436 20.032787 20.453806 20.877419 21.303627 21.732439 22.16387 22.597958 23.034756 23.474335 23.91677 24.362123 24.810432 25.261683 25.715813 26.17271 26.632238 27.094265 27.558722 28.025654 28.495277 28.968008 29.444483 29.925539 30.412178 30.905508 31.406641 31.916649 32.436466 32.966866 33.508427 34.061546 34.626488 35.203396 35.79237 36.3935 37.00692 37.63279 38.271347 38.922867 39.58765 40.266033 40.958344 41.664898 42.38601 43.121986 43.873123 44.63973 45.42211 46.220596 47.03551 47.867214 48.716053 49.5824 50.466625 51.369106 52.290222 53.230373 54.18995 55.169365 56.169037 57.189404 58.23091 59.29403 60.379223 61.486977 62.61778 63.77211 64.95048 66.15338 67.381325 68.634834 69.91447 71.22076 72.5543 73.91566 75.305435 76.72423 78.17266 79.65135 81.160965 82.70216 84.27566 85.88216 87.52239 89.1971 90.907005 92.65285 94.435356 96.25525 98.11329 100.01024 101.94694 103.92424 105.94307 108.00436 110.10906 112.25817 114.45264 116.69343 118.9816 121.31824 123.70441 126.14113 128.62946 131.17046 133.76527 136.41504 139.121 141.88438 144.70657 147.58907 150.53351 153.54147 156.61429 159.75287 162.95798 166.23045 169.57152 172.9826 176.46548 180.02206 183.65485 187.3674 191.16402 195.04886 199.0248 203.0926 207.25 211.49193 215.81096 220.1973 224.63893 229.12306 233.63739 238.17113 242.71507 247.26202 251.8076 256.3499 260.8889 265.42587 269.96304 274.50284 279.04752 283.59787 288.15305 292.71188 297.27365 301.8382 306.4058 310.97632 315.5493 320.12433 324.70123 329.27988 333.86032 338.44226 343.0252 347.6089 352.1938 356.7803 361.3684 365.9576 370.5476 375.13873 379.73196 384.32825 388.92795 393.53082 398.13605 402.74283 407.35052 411.95868 416.5668 421.17462 425.7818 430.38815 434.9934 439.5975 444.20023 448.80133 453.4006 457.99814 462.59378 467.18692 471.77707 476.36392 480.9474 485.5275 490.10425 494.67752 499.24722 503.81345 508.37643 512.93665 517.4941 522.04846 526.5992 531.1458 535.6881 540.2258 544.75903 549.28784 553.8126 558.3337 562.8508 567.3638 571.87225 576.37616 580.8759 585.37195 589.8644 594.3533 598.83795 603.3181 607.79346 612.2642 616.7312 621.1948 625.65564 630.11346 634.5683 639.0199 643.4679 647.91174 652.3509 656.7853 661.2151 665.64044 670.0616 674.4787 678.89197 683.30145 687.7075 692.11053 696.5108 700.90857 705.304 709.6972 714.08826 718.47705 722.8631 727.2462 731.62616 736.00287 740.3766 744.74713 749.1144 753.4782 757.8385 762.1953 766.5489 770.89954 775.2475 779.59296 783.9359 788.27655 792.61475 796.9507 801.28424 805.61554 809.94434 814.2707 818.59454 822.9161 827.23535 831.55255 835.8679 840.18146 844.4932 848.80316 853.11145 857.41797 861.723 866.0268 870.3297 874.6321 878.93414 883.2361 887.5378 891.8392 896.1402 900.4407 904.74054 909.03973 913.3384 917.6365 921.93414 926.2314 930.52826 934.8248 939.1213 943.41754 947.71387 952.01013 956.30634 960.6024 964.8983 969.1938 973.4889 0.2751675 0.55245 0.83184516 1.1133465 1.3968515 1.6822349 1.9692873 2.2577577 2.5473297 2.8376393 3.1282797 3.4188023 3.7087388 3.997594 4.2848744 4.570077 4.8527184 5.132323 5.408448 5.6806726 5.948617 6.2119317 6.4703126 6.7234926 6.971246 7.2133875 7.449771 7.680288 7.9048634 8.123457 8.336057 8.54268 8.743363 8.938173 9.127187 9.310503 9.488232 9.660495 9.827422 9.989155 10.145834 10.297607 10.444626 10.58704 10.725 10.858656 10.988155 11.113643 11.235261 11.353148 11.467442 11.578273 11.685771 11.790063 11.891272 11.989513 12.084905 12.177551 12.267561 12.355031 12.44006 12.522741 12.6031685 12.681436 12.757634 12.831855 12.904183 12.974703 13.043484 13.110591 13.176076 13.239986 13.302362 13.363246 13.422688 13.48075 13.537511 13.593068 13.647537 13.701046 13.753729 13.805719 13.8571415 13.908102 13.958686 14.008956 14.05895 14.10869 14.15818 14.20742 14.256402 14.305121 14.353578 14.401772 14.449711 14.497407 14.54487 14.592114 14.6391535 14.686 14.732667 14.779166 14.82551 14.871712 14.917787 14.96375 15.009619 15.055412 15.101146 15.146836 15.192496 15.238135 15.283763 15.329386 15.37501 15.420641 15.466291 15.511971 15.557696 15.603483 15.649349 15.695315 15.741403 15.787629 15.834012 15.880567 15.927301 15.974226 16.021349 16.068682 16.116232 16.164011 16.212034 16.260317 16.30889 16.357773 16.406998 16.456587 16.50655 16.55689 16.607613 16.658722 16.710218 16.762106 16.814396 16.867107 16.920277 16.973936 17.02811 17.082796 17.137976 17.193626 17.249737 17.306284 17.363241 17.420574 17.478243 17.536205 17.594425 17.652885 17.711603 17.770618 17.82994 17.889555 17.949446 18.009613 18.070093 18.130987 18.192417 18.254444 18.317032 18.380089 18.443518 18.507278 18.571436 18.636124 18.701376 18.767117 18.833294 18.89995 18.967152 19.034914 19.103184 19.171885 19.240961 19.310413 19.380257 19.450394 19.5206 19.590645 19.660332 19.7295 19.79804 19.86589 19.933025 19.999397 20.064926 20.129547 20.193233 20.256018 20.317987 20.379187 20.439545 20.498928 20.557251 20.614538 20.670856 20.726194 20.780535 20.833996 20.886784 20.939032 20.990786 21.042028 21.09269 21.142683 21.19193 21.240372 21.287987 21.3348 21.380852 21.426191 21.470848 21.514774 21.55787 21.600096 21.641464 21.681969 21.721567 21.760204 21.797834 21.834461 21.870134 21.904902 21.93879 21.9718 22.003914 22.03514 22.065529 22.09516 22.124111 22.152443 22.180178 22.207312 22.233824 22.259708 22.284956 22.309553 22.333494 22.356789 22.379469 22.401577 22.423138 22.444153 22.464619 22.484533 22.503904 22.522747 22.541065 22.558872 22.576166 22.59293 22.609127 22.62475 22.63983 22.654411 22.66854 22.682253 22.695572 22.708498 22.721035 22.733194 22.744995 22.756443 22.767525 22.77821 22.78848 22.798319 22.807716 22.816666 22.82516 22.833195 22.840782 22.847956 22.85476 22.861233 22.867395 22.873266 22.878855 22.884165 22.889196 22.893951 22.898441 22.90267 22.906645 22.910366 22.913824 22.917019 22.91995 22.922628 22.92507 22.927292 22.929323 22.931183 22.932894 22.934465 22.935913 22.937248 22.938478 22.939606 22.940632 22.941568 22.942421 22.943201 22.943916 22.94457 22.94517 22.945711 22.946194 22.94662 22.946995 22.94732 22.9476 22.94784 22.948046 22.948225 22.948381 22.948523 22.948652 22.948784 22.948929 22.949104 22.949331 22.949623 22.94999 22.950436 22.950956 22.951548 22.952204 22.952913 22.953669 22.954458 22.95527 22.956106 22.956959 22.957829 22.958714 22.959614 22.96052 22.96143 22.962332 22.963224 22.9641 22.964958 22.965803 22.966633 22.967453 (11) Re_theta = 1400 --- Re_dstar = 224161.2617829875 --- Re_d99 =1.2811079688850474e6 -- Re_X = 814040.7 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 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0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.27112633 0.54409105 0.81894934 1.0957576 1.3745729 1.6554524 1.9384538 2.2236338 2.5110483 2.8007517 3.0927951 3.3872283 3.6840963 3.9834409 4.2853 4.5897055 4.896687 5.206268 5.518468 5.833301 6.1507783 6.470906 6.7936873 7.1191216 7.4472055 7.7779336 8.111298 8.4472885 8.785893 9.127101 9.470899 9.817273 10.166212 10.517701 10.871728 11.22828 11.587347 11.948917 12.312981 12.679531 13.048559 13.420059 13.794028 14.170463 14.54936 14.930722 15.3145485 15.700838 16.089594 16.48082 16.874517 17.270699 17.66937 18.07055 18.474255 18.880497 19.28929 19.700645 20.114565 20.531054 20.950106 21.371735 21.795954 22.222797 22.652323 23.084597 23.519693 23.957672 24.398571 24.842375 25.289022 25.738403 26.190384 26.644829 27.101677 27.560968 28.022913 28.487923 28.956623 29.429834 29.90854 30.393831 30.886799 31.388496 31.89984 32.421585 32.954308 33.49839 34.054085 34.621536 35.200848 35.792095 36.39541 37.010952 37.63895 38.279675 38.93342 39.600513 40.281273 40.976013 41.685036 42.408646 43.14713 43.900787 44.66993 45.45487 46.25593 47.073467 47.90782 48.759354 49.628433 50.515427 51.420708 52.34467 53.287697 54.2502 55.232586 56.235287 57.258728 58.303352 59.36961 60.457954 61.56885 62.702763 63.860176 65.04157 66.24745 67.478325 68.734726 70.017166 71.32622 72.66241 74.02632 75.41856 76.839714 78.2904 79.77127 81.28298 82.82623 84.40172 86.010185 87.65238 89.32905 91.04095 92.78885 94.573524 96.39577 98.256355 100.15607 102.09567 104.07602 106.09797 108.16245 110.27049 112.423096 114.62123 116.865845 119.15791 121.4984 123.88826 126.328606 128.82062 131.36557 133.9648 136.61958 139.3311 142.10057 144.92935 147.8189 150.77058 153.78574 156.86542 160.01062 163.2221 166.50081 169.84793 173.26534 176.75554 180.3218 183.96777 187.69727 191.51343 195.41837 199.41267 203.49464 207.6597 211.9004 216.20702 220.56804 224.97119 229.4039 233.85434 238.31291 242.7732 247.23155 251.68661 256.13892 260.59003 265.04172 269.49557 273.95255 278.41293 282.8769 287.3447 291.8163 296.29163 300.77048 305.25256 309.73718 314.22385 318.71225 323.20227 327.69412 332.1874 336.68152 341.1762 345.67184 350.16867 354.66693 359.1671 363.66953 368.17398 372.6801 377.1877 381.69678 386.20786 390.7213 395.23734 399.75583 404.27643 408.79886 413.32285 417.84796 422.37363 426.89926 431.42453 435.9491 440.47275 444.99573 449.51895 454.04288 458.56723 463.09143 467.61514 472.13794 476.65927 481.17883 485.69653 490.2121 494.7253 499.236 503.7442 508.24985 512.75256 517.2524 521.7496 526.2442 530.736 535.2247 539.7097 544.19104 548.6688 553.14294 557.6137 562.0812 566.5456 571.0072 575.4659 579.92145 584.37396 588.82324 593.2693 597.7115 602.14935 606.5829 611.0118 615.43604 619.8553 624.26984 628.6797 633.08514 637.4864 641.8837 646.2775 650.668 655.05554 659.4403 663.8221 668.2007 672.57605 676.94836 681.318 685.68494 690.04926 694.41077 698.7692 703.12463 707.4767 711.82513 716.17 720.51135 724.8495 729.185 733.51794 737.8486 742.1766 746.5018 750.82367 755.1421 759.457 763.7683 768.0761 772.3804 776.6816 780.9797 785.2751 789.56775 793.8576 798.1445 802.42847 806.70953 810.98785 815.26355 819.5366 823.8072 828.07526 832.3409 836.6042 840.8654 845.1246 849.38196 853.6377 857.8921 862.14545 866.3979 870.6496 874.9006 879.1508 883.4003 887.6493 891.8975 896.14496 900.39154 904.63727 908.88214 913.1261 917.3692 921.61145 925.853 930.09393 934.3344 938.5745 942.81415 947.0534 951.2923 955.53064 959.7685 0.2712979 0.5446535 0.8200638 1.0975221 1.3769305 1.658169 1.941038 2.2252984 2.5106483 2.7967408 3.083187 3.3695595 3.6554105 3.940267 4.2236567 4.505098 4.7841268 5.060287 5.3331523 5.6023164 5.86741 6.1280956 6.3840747 6.635084 6.880902 7.1213417 7.356256 7.5855317 7.8090897 8.026883 8.238892 8.445125 8.645613 8.840409 9.029585 9.213227 9.391437 9.564326 9.7320175 9.894639 10.052327 10.20522 10.35346 10.497193 10.636562 10.771713 10.902788 11.029927 11.153272 11.272956 11.389114 11.501877 11.61137 11.717717 11.821039 11.921451 12.01906 12.113973 12.206287 12.296099 12.383496 12.468569 12.551403 12.632085 12.710701 12.787335 12.862068 12.934978 13.006128 13.075581 13.143381 13.209573 13.274191 13.3372755 13.398873 13.459044 13.517868 13.575442 13.631884 13.687324 13.7419 13.79575 13.848999 13.901757 13.95411 14.006122 14.05783 14.109253 14.160396 14.211251 14.261814 14.312075 14.36203 14.411683 14.4610405 14.510112 14.558913 14.607459 14.655766 14.703848 14.751721 14.799401 14.846902 14.8942375 14.941421 14.988464 15.03538 15.082176 15.1288595 15.175435 15.221908 15.268277 15.314549 15.360729 15.406826 15.452854 15.49883 15.544772 15.590699 15.636629 15.68258 15.728567 15.774606 15.82071 15.866895 15.9131775 15.959575 16.006102 16.052767 16.099575 16.146528 16.193634 16.2409 16.288342 16.33597 16.383804 16.431877 16.48023 16.528902 16.577927 16.627314 16.677052 16.72711 16.777454 16.828056 16.878912 16.930025 16.98142 17.033133 17.085194 17.137634 17.190485 17.243774 17.297512 17.35168 17.406244 17.461176 17.51648 17.572172 17.628305 17.68494 17.742136 17.799917 17.858252 17.917067 17.976288 18.035887 18.095873 18.156275 18.217108 18.278358 18.340012 18.402092 18.464624 18.527624 18.591146 18.655327 18.7203 18.786125 18.852766 18.92015 18.988226 19.056986 19.126432 19.196518 19.26715 19.338278 19.409857 19.481712 19.553547 19.62504 19.695908 19.76594 19.83498 19.90294 19.969862 20.035854 20.100956 20.1651 20.22826 20.290497 20.35184 20.412231 20.47166 20.53021 20.587957 20.644938 20.70119 20.756788 20.811779 20.866198 20.920095 20.973501 21.026375 21.078665 21.130354 21.181408 21.231758 21.281363 21.330198 21.378262 21.425537 21.472002 21.51767 21.562613 21.606916 21.65063 21.693815 21.736502 21.778639 21.820108 21.860817 21.900747 21.939909 21.978277 22.015831 22.05257 22.088512 22.123674 22.158064 22.191692 22.224611 22.25689 22.28856 22.319616 22.35004 22.379824 22.40894 22.43737 22.46511 22.492197 22.518667 22.54455 22.569838 22.594517 22.618578 22.642027 22.664862 22.687077 22.708681 22.729698 22.750154 22.770046 22.789368 22.80813 22.826365 22.844091 22.861324 22.878075 22.894344 22.910141 22.925476 22.94036 22.954798 22.968794 22.982342 22.995438 23.008087 23.020306 23.032104 23.043493 23.054485 23.065096 23.07535 23.085264 23.09485 23.104101 23.113007 23.121553 23.12975 23.137608 23.145145 23.15238 23.159327 23.165997 23.172394 23.178522 23.184387 23.189993 23.195337 23.20042 23.205244 23.20982 23.214153 23.218246 23.222097 23.225708 23.229082 23.232233 23.235172 23.237917 23.24048 23.242868 23.24509 23.247156 23.249067 23.25083 23.252449 23.253927 23.255268 23.256477 23.257568 23.258549 23.259432 23.26023 23.26095 23.26161 23.262217 23.262785 23.263325 23.263847 23.264359 23.264872 23.265387 23.265913 23.266449 23.267002 23.267569 23.268154 23.26876 23.269388 23.270039 23.27071 23.271395 23.272095 23.272806 23.27353 23.274265 23.275011 23.275772 23.276545 23.27733 23.278131 23.278942 23.279768 23.280605 23.281456 (12) Re_theta = 1500 --- Re_dstar = 239704.62878014508 --- Re_d99 =1.348874606741573e6 -- Re_X = 867110.4999999999 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 0.0007326153 0.00081581634 0.00089938904 0.0009833368 0.0010676631 0.0011523712 0.0012374646 0.0013229469 0.0014088214 0.001495092 0.0015817621 0.0016688353 0.0017563156 0.0018442064 0.0019325117 0.0020212352 0.002110381 0.0021999527 0.0022899546 0.0023803907 0.0024712647 0.0025625809 0.0026543434 0.0027465567 0.0028392249 0.0029323522 0.0030259432 0.003120002 0.0032145334 0.0033095418 0.0034050315 0.0035010076 0.0035974742 0.0036944363 0.003791899 0.0038898673 0.003988346 0.0040873406 0.0041868556 0.004286896 0.0043874662 0.004488572 0.004590217 0.0046924083 0.004795151 0.004898452 0.005002319 0.005106758 0.0052117747 0.0053173746 0.0054235603 0.005530334 0.005637698 0.0057456554 0.005854212 0.0059633786 0.00607317 0.0061836047 0.0062947026 0.00640648 0.0065189465 0.0066321 0.0067459242 0.0068603926 0.0069754706 0.0070911255 0.0072073406 0.0073241275 0.00744154 0.007559682 0.0076787123 0.00779884 0.007920314 0.008043408 0.0081684 0.008295555 0.008425102 0.008557231 0.008692085 0.0088297585 0.008970313 0.009113781 0.009260186 0.009409545 0.009561888 0.009717252 0.009875692 0.010037273 0.010202066 0.01037015 0.010541601 0.010716495 0.010894904 0.011076899 0.011262548 0.011451921 0.011645091 0.01184213 0.012043114 0.012248125 0.012457243 0.012670553 0.012888141 0.013110092 0.013336494 0.013567437 0.013803013 0.0140433125 0.014288431 0.014538467 0.014793517 0.015053684 0.015319071 0.015589782 0.015865926 0.01614761 0.016434947 0.016728051 0.017027037 0.017332025 0.017643137 0.017960493 0.018284222 0.01861445 0.01895131 0.019294936 0.019645464 0.02000303 0.020367783 0.02073986 0.021119418 0.0215066 0.021901565 0.022304466 0.022715466 0.023134727 0.02356242 0.023998711 0.02444378 0.024897799 0.025360953 0.025833424 0.0263154 0.026807074 0.027308635 0.02782029 0.028342243 0.028874708 0.029417904 0.029972052 0.030537374 0.03111409 0.031702425 0.032302596 0.032914832 0.033539366 0.03417646 0.03482639 0.03548945 0.03616596 0.036856234 0.037560564 0.03827922 0.039012413 0.03976032 0.04052309 0.041300893 0.04209396 0.042902645 0.043727458 0.04456907 0.04542828 0.046305925 0.04720275 0.048119243 0.04905548 0.05001096 0.050984558 0.05197449 0.052978408 0.05399355 0.055016983 0.056045815 0.05707746 0.058109794 0.059141275 0.060170975 0.061198507 0.06222392 0.06324755 0.064269856 0.065291286 0.066312194 0.0673328 0.06835315 0.0693732 0.070392825 0.071411885 0.07243027 0.0734479 0.074464746 0.07548083 0.076496206 0.0775109 0.07852498 0.07953846 0.080551356 0.08156366 0.08257537 0.083586484 0.084596984 0.08560687 0.08661616 0.08762484 0.088632934 0.08964045 0.09064739 0.09165377 0.092659585 0.09366484 0.094669536 0.09567368 0.09667728 0.09768034 0.09868285 0.099684834 0.10068629 0.101687215 0.10268763 0.10368753 0.104686916 0.1056858 0.106684186 0.10768207 0.108679466 0.109676376 0.1106728 0.11166875 0.11266422 0.11365923 0.11465377 0.11564786 0.11664149 0.11763467 0.11862741 0.1196197 0.12061155 0.121602975 0.12259397 0.12358454 0.12457469 0.12556443 0.12655376 0.12754269 0.1285312 0.12951933 0.13050707 0.1314944 0.13248137 0.13346796 0.13445416 0.13544 0.13642547 0.13741058 0.13839534 0.13937974 0.1403638 0.1413475 0.14233087 0.1433139 0.1442966 0.14527898 0.14626104 0.14724277 0.14822419 0.1492053 0.1501861 0.15116662 0.15214683 0.15312675 0.15410638 0.15508573 0.1560648 0.15704359 0.1580221 0.15900037 0.15997836 0.16095608 0.16193357 0.1629108 0.16388778 0.16486453 0.16584104 0.16681731 0.16779336 0.16876918 0.16974479 0.17072017 0.17169535 0.17267032 0.17364508 0.17461964 0.17559402 0.1765682 0.17754218 0.178516 0.17948963 0.18046309 0.18143637 0.18240951 0.18338247 0.18435527 0.18532792 0.18630043 0.18727279 0.188245 0.18921709 0.19018903 0.19116086 0.19213255 0.19310413 0.19407558 0.19504693 0.19601817 0.19698931 0.19796036 0.1989313 0.19990216 0.20087293 0.2018436 0.2028142 0.20378475 0.2047552 0.2057256 0.20669593 0.2076662 0.20863643 0.2096066 0.21057673 0.21154681 0.21251686 0.21348687 0.21445686 0.21542682 0.21639675 0.21736667 0.21833658 0.21930648 0.22027637 0.2686485 0.5391023 0.8114147 1.08564 1.3618327 1.6400485 1.9203429 2.2027705 2.4873855 2.7742403 3.0633852 3.3548682 3.6487339 3.945023 4.2437725 4.545016 4.848781 5.1550922 5.463969 5.7754273 6.0894785 6.406129 6.725384 7.047243 7.3717055 7.6987653 8.028416 8.360649 8.695454 9.032818 9.372731 9.71518 10.060154 10.407638 10.75762 11.110087 11.465032 11.82244 12.182302 12.544613 12.909362 13.276544 13.646155 14.018194 14.392657 14.769545 15.148857 15.530595 15.914759 16.301353 16.690382 17.081856 17.475782 17.872179 18.271059 18.67244 19.076336 19.482756 19.891703 20.30318 20.717188 21.133734 21.552837 21.97453 22.398865 22.825914 23.25575 23.68843 24.123993 24.562424 25.003662 25.4476 25.8941 26.343039 26.794346 27.248064 27.704405 28.16377 28.626778 29.094244 29.567137 30.046532 30.533508 31.029108 31.534235 32.049637 32.57588 33.113342 33.662273 34.222816 34.795067 35.37911 35.97507 36.583107 37.20345 37.836365 38.482143 39.14112 39.8136 40.499905 41.200333 41.915184 42.64474 43.3893 44.149166 44.924644 45.716057 46.523735 47.348026 48.189274 49.047844 49.924095 50.818394 51.73112 52.662655 53.61339 54.583733 55.574085 56.584873 57.616528 58.66949 59.74421 60.841156 61.960793 63.103622 64.270134 65.46085 66.676285 67.91698 69.18346 70.47631 71.79608 73.14334 74.51866 75.92258 77.35568 78.818596 80.311935 81.83637 83.392586 84.98129 86.603195 88.25903 89.94953 91.67544 93.43748 95.236435 97.07309 98.94822 100.862625 102.81716 104.81273 106.85023 108.93061 111.05485 113.2239 115.43877 117.70047 120.00998 122.3683 124.77644 127.235405 129.74628 132.31012 134.92818 137.60175 140.33224 143.12111 145.96979 148.87975 151.85251 154.88931 157.99115 161.15857 164.39206 167.69261 171.0621 174.50316 178.01889 181.61269 185.28798 189.04807 192.89532 196.83044 200.85173 204.95522 209.1342 213.3789 217.67693 222.01503 226.38074 230.76353 235.15509 239.54947 243.94315 248.33463 252.72375 257.11127 261.4987 265.88806 270.2813 274.67953 279.0833 283.49222 287.90506 292.3209 296.73907 301.15878 305.5794 310.00098 314.4238 318.848 323.27408 327.7026 332.13367 336.56696 341.0023 345.43958 349.87827 354.31796 358.7589 363.20163 367.6463 372.09274 376.5406 380.98993 385.44095 389.8941 394.3496 398.80734 403.26654 407.7264 412.18674 416.64755 421.10852 425.5692 430.02954 434.4897 438.94986 443.4103 447.87137 452.33356 456.7973 461.26285 465.73013 470.19897 474.66946 479.14166 483.6152 488.08942 492.56357 497.03714 501.5099 505.9812 510.45053 514.9178 519.3833 523.8475 528.3102 532.7714 537.23096 541.68823 546.14276 550.5941 555.0423 559.48706 563.9286 568.36664 572.80133 577.2329 581.6617 586.08826 590.5128 594.9355 599.3562 603.7746 608.1904 612.6031 617.0123 621.4177 625.81885 630.2149 634.60516 638.9892 643.3671 647.7394 652.10657 656.4692 660.82794 665.1834 669.53577 673.8853 678.23175 682.57495 686.9147 691.25085 695.58374 699.9133 704.2398 708.5635 712.8845 717.2032 721.5198 725.83435 730.147 734.4575 738.766 743.07196 747.37506 751.675 755.9716 760.2651 764.55554 768.8432 773.12775 777.4093 781.68756 785.9627 790.2344 794.50275 798.7679 803.0301 807.28937 811.5457 815.79913 820.0495 824.2969 828.54126 832.7831 837.0224 841.2595 845.4947 849.7281 853.9599 858.1902 862.4189 866.64606 870.87146 875.09515 879.31714 883.5373 887.75586 891.97296 896.1889 900.4039 904.61786 908.8312 913.0437 917.2555 921.46655 925.6768 929.8862 934.0946 938.30206 942.5086 946.7143 950.91907 0.26881465 0.53964686 0.8124955 1.0873553 1.3641346 1.6427209 1.9229257 2.2045221 2.4872227 2.7706969 3.0545723 3.338438 3.6218626 3.904388 4.1855555 4.464895 4.741953 5.01628 5.287455 5.555074 5.8187704 6.0782037 6.333072 6.5831094 6.828085 7.0678077 7.3021197 7.5309005 7.7540593 7.9715405 8.183313 8.389377 8.58975 8.784478 8.973621 9.157258 9.335481 9.508393 9.67611 9.838755 9.996456 10.149348 10.29757 10.44126 10.580563 10.715616 10.846564 10.973545 11.096698 11.216158 11.332059 11.444531 11.553704 11.659702 11.762648 11.8626585 11.9598465 12.05432 12.146183 12.235532 12.322461 12.4070635 12.48943 12.56965 12.647811 12.724003 12.798306 12.870801 12.941554 13.010626 13.078066 13.143914 13.208211 13.270992 13.332307 13.392214 13.450791 13.508138 13.564368 13.619612 13.6740055 13.727685 13.780774 13.833381 13.885591 13.937462 13.989035 14.040324 14.091333 14.142056 14.192486 14.242612 14.292431 14.341947 14.391165 14.440097 14.488756 14.53716 14.585322 14.63326 14.680987 14.728519 14.775869 14.823048 14.870065 14.916928 14.963644 15.010218 15.05665 15.102944 15.149101 15.195123 15.241007 15.286757 15.332377 15.377875 15.4232645 15.468563 15.513794 15.558986 15.604166 15.649369 15.694626 15.739971 15.785435 15.831045 15.876828 15.922805 15.968997 16.015429 16.062126 16.10911 16.156385 16.203955 16.251812 16.299948 16.348366 16.397074 16.44608 16.495392 16.545023 16.59499 16.645306 16.69598 16.747004 16.798357 16.850014 16.901934 16.954079 17.006416 17.058939 17.111675 17.16468 17.218008 17.271688 17.325724 17.380096 17.434769 17.489698 17.544855 17.600237 17.655884 17.711868 17.768284 17.825226 17.88275 17.940832 17.999414 18.058468 18.118029 18.178162 18.238886 18.300169 18.361944 18.424143 18.486769 18.549889 18.61356 18.677784 18.742573 18.807991 18.874157 18.94113 19.00886 19.07721 19.145985 19.215012 19.284208 19.353506 19.422749 19.491755 19.560394 19.62853 19.695969 19.762602 19.828524 19.893892 19.958776 20.023176 20.08706 20.150398 20.21315 20.27527 20.336704 20.39744 20.457502 20.516916 20.575659 20.633682 20.690962 20.747503 20.803339 20.858534 20.91308 20.966885 21.019838 21.071878 21.122976 21.173124 21.222406 21.270962 21.31889 21.366219 21.412935 21.45901 21.504416 21.54916 21.5933 21.63689 21.679949 21.722466 21.76443 21.805847 21.846756 21.88721 21.927263 21.966928 22.006187 22.045008 22.083384 22.121326 22.158802 22.195728 22.232029 22.267673 22.302662 22.337004 22.37071 22.403776 22.43617 22.467876 22.498894 22.529222 22.55885 22.58777 22.616018 22.643642 22.670671 22.697107 22.722963 22.748247 22.772957 22.797073 22.82059 22.843515 22.865868 22.887663 22.908926 22.929672 22.94991 22.969643 22.98888 23.007639 23.02591 23.043669 23.0609 23.077604 23.093794 23.109476 23.124657 23.13933 23.153488 23.167133 23.180283 23.192959 23.205194 23.217012 23.22843 23.239468 23.250137 23.260447 23.27041 23.280048 23.28938 23.298418 23.30718 23.315678 23.323908 23.331873 23.339575 23.347013 23.354189 23.361101 23.367754 23.374136 23.380245 23.386086 23.39167 23.397009 23.40211 23.406977 23.41161 23.416008 23.420162 23.424072 23.427744 23.431185 23.434412 23.43744 23.440283 23.442942 23.445427 23.447744 23.4499 23.451902 23.453766 23.455505 23.457129 23.458649 23.460073 23.46141 23.462667 23.463848 23.464956 23.465998 23.466976 23.4679 23.468777 23.469614 23.470417 23.47119 23.471937 23.472662 23.473362 23.474037 23.474691 23.475332 23.475964 23.476595 23.47723 23.477875 23.47853 23.479202 23.479887 23.480585 23.481298 23.482029 (13) Re_theta = 1600 --- Re_dstar = 255461.97536866253 --- Re_d99 =1.424931106309421e6 -- Re_X = 921255.7999999999 8.0e-5 0.00016034325 0.00024103276 0.0003220716 0.00040346288 0.0004852097 0.00056731526 0.0006497827 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