--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 = 116820.86866986431 --- Re_d99 =306736.823681936 -- Re_X = 129280.00000000001 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 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34.15559 34.824715 35.509655 36.21078 36.92845 37.663044 38.414913 39.184437 39.971977 40.777893 41.602547 42.44629 43.309467 44.192417 45.095467 46.018932 46.96311 47.9283 48.914757 49.922756 50.95252 52.004272 53.078213 54.174526 55.293365 56.434875 57.599186 58.786404 59.99664 61.23001 62.48661 63.766556 65.06996 66.39694 67.74762 69.12212 70.5206 71.94323 73.39023 74.86193 76.358696 77.88101 79.42942 81.004524 82.606895 84.237114 85.89565 87.58296 89.29947 91.045685 92.82228 94.63025 96.470924 98.34602 100.257545 102.20758 104.19802 106.23016 108.30438 110.4198 112.5741 114.763535 116.98308 119.22678 121.488304 123.76135 126.04031 128.32057 130.59879 132.87294 135.14223 137.40675 139.66731 141.92491 144.18056 146.43503 148.68883 150.94205 153.19461 155.44623 157.6966 159.94547 162.19267 164.43816 166.68196 168.92418 171.1649 173.40425 175.6423 177.87906 180.1145 182.34865 184.58145 186.81291 189.04303 191.2718 193.49925 195.7254 197.95029 200.17387 202.39624 204.61736 206.83723 209.05588 211.27332 213.48953 215.70456 217.91838 220.13104 222.34253 224.55286 226.76204 228.97011 231.17702 233.38283 235.58754 237.79115 239.99368 242.19513 244.39551 246.59485 248.79312 250.99039 253.1866 255.38182 257.57605 259.76926 261.9615 264.15274 266.34302 268.53238 270.72076 272.9082 275.09476 277.28036 279.4651 281.64893 283.83182 286.0139 288.19507 290.3754 292.5549 294.73355 296.91138 299.08838 301.26456 303.43997 305.6146 307.78842 309.9615 312.1338 314.30533 316.47614 318.64624 320.81558 322.98425 325.1522 327.31943 329.486 331.65192 333.81714 335.98172 338.14566 340.30896 342.47165 344.6337 346.79517 348.956 351.11627 353.27594 355.43503 357.5936 359.75162 361.90906 364.06598 366.2224 368.37827 370.5337 372.68857 374.843 376.99692 379.15036 381.30338 383.45593 385.60803 387.75974 389.91098 392.06183 394.21228 396.36234 398.51202 400.66132 402.81027 404.95883 407.10706 409.25494 411.4025 413.54974 415.6967 417.84332 419.98965 422.1357 424.2815 426.42703 428.57227 430.7173 432.86206 435.00662 437.15097 439.29507 441.439 443.58273 445.72626 447.86963 450.01288 452.1559 454.2988 456.4416 458.58423 460.72678 462.86917 465.0115 467.15372 469.29587 471.43793 473.57993 475.7219 477.86377 480.0056 482.1475 484.2893 486.4311 0.15473196 0.31011862 0.4661671 0.6228846 0.7802784 0.9383559 1.0971245 1.2565916 1.4167649 1.5776517 1.73926 1.9015973 2.0646713 2.2284899 2.393061 2.558392 2.7244916 2.8913674 3.0590277 3.2274802 3.3967333 3.566795 3.737674 3.9093783 4.0819163 4.2552967 4.4295273 4.604617 4.780575 4.957409 5.1351275 5.3137407 5.493256 5.673683 5.8550305 6.0373073 6.2205224 6.404685 6.5898037 6.7758884 6.9629474 7.1509905 7.3400273 7.5300674 7.7211204 7.9131956 8.106302 8.300449 8.4956455 8.691899 8.889221 9.087619 9.287106 9.487691 9.689389 9.892211 10.096168 10.301265 10.507508 10.7149 10.923441 11.133137 11.343995 11.556035 11.769281 11.9837675 12.19953 12.416595 12.634979 12.854672 13.075643 13.297831 13.521164 13.745577 13.971031 14.197543 14.425212 14.654233 14.884907 15.117631 15.3528805 15.591176 15.833044 16.078983 16.329426 16.58472 16.845125 17.110807 17.381859 17.65832 17.940207 18.227526 18.520302 18.818573 19.122406 19.43188 19.747095 20.068142 20.395117 20.7281 21.067165 21.412373 21.763771 22.121405 22.485313 22.855528 23.232079 23.614985 24.004263 24.399914 24.801931 25.210289 25.62495 26.045862 26.47295 26.906122 27.345268 27.790257 28.240929 28.697104 29.158571 29.625095 30.096403 30.572195 31.052135 31.535852 32.022938 32.51294 33.005375 33.499714 33.995388 34.491783 34.988247 35.484077 35.978542 36.470863 36.960224 37.445766 37.926613 38.40184 38.870518 39.331684 39.784374 40.227615 40.660442 41.081894 41.49105 41.887012 42.26893 42.636013 42.987537 43.322857 43.641426 43.942795 44.226616 44.492672 44.74086 44.9712 45.183838 45.37904 45.557194 45.718807 45.864483 45.994938 46.110962 46.21342 46.303238 46.381367 46.448788 46.506474 46.555405 46.59652 46.630733 46.65892 46.681904 46.70044 46.715225 46.726887 46.735977 46.742977 46.748295 46.752285 46.75523 46.757374 46.75891 46.759995 46.760746 46.761265 46.761616 46.761852 46.762016 46.76213 46.76221 46.762276 46.762325 46.762367 46.762405 46.76244 46.762474 46.76251 46.762543 46.762577 46.76261 46.762646 46.76268 46.762714 46.762753 46.762787 46.76282 46.76286 46.762897 46.76293 46.76297 46.76301 46.763046 46.763084 46.763123 46.76316 46.763203 46.76324 46.76328 46.76332 46.76336 46.7634 46.76344 46.76348 46.763523 46.763565 46.763603 46.763645 46.763687 46.76373 46.76377 46.763813 46.763855 46.763897 46.76394 46.763985 46.764027 46.76407 46.76411 46.764153 46.7642 46.76424 46.764282 46.764324 46.76437 46.764412 46.764454 46.7645 46.76454 46.764587 46.76463 46.76467 46.764717 46.76476 46.7648 46.764847 46.76489 46.764935 46.764977 46.76502 46.765064 46.765106 46.76515 46.76519 46.765236 46.765278 46.76532 46.765366 46.765408 46.76545 46.76549 46.765533 46.765575 46.765617 46.76566 46.765705 46.765747 46.765785 46.765827 46.76587 46.76591 46.765953 46.765995 46.766037 46.766075 46.766117 46.76616 46.766197 46.76624 46.766277 46.76632 46.766357 46.7664 46.766438 46.766476 46.766514 46.766552 46.766594 46.766632 46.76667 46.76671 46.766747 46.76678 46.76682 46.766857 46.766895 46.76693 46.766968 46.767002 46.76704 46.767075 46.76711 46.767143 46.76718 46.767216 46.76725 46.767284 46.767315 46.76735 46.767384 46.767418 46.76745 46.767483 46.767513 46.767548 46.76758 46.76761 46.76764 46.76767 46.7677 46.76773 46.76776 46.76779 46.76782 46.76785 46.76788 46.767906 46.767933 46.767963 46.76799 46.768017 46.768044 46.76807 46.768093 46.76812 46.768147 46.76817 46.768196 46.76822 46.768246 46.76827 46.76829 46.768314 46.768337 46.76836 (2) Re_theta = 500 --- Re_dstar = 129482.67761727936 --- Re_d99 =343650.13569576485 -- Re_X = 239200.0 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 0.1478697 0.29637867 0.44553366 0.5953415 0.74580914 0.89694357 1.048752 1.2012414 1.3544191 1.5082927 1.6628693 1.818157 1.974163 2.1308954 2.288362 2.4465709 2.6055298 2.7652473 2.9257321 3.0869918 3.2490358 3.4118721 3.5755103 3.7399585 3.9052267 4.0713234 4.2382584 4.4060407 4.5746803 4.7441864 4.9145694 5.0858397 5.2580066 5.431081 5.605073 5.779993 5.9558525 6.132662 6.3104315 6.4891734 6.6688986 6.849618 7.0313444 7.2140894 7.397865 7.5826836 7.7685575 7.955498 8.143517 8.332627 8.522839 8.714169 8.906628 9.100234 9.295004 9.490952 9.688091 9.886437 10.085997 10.2867775 10.488786 10.692034 10.896533 11.102308 11.309391 11.517821 11.727637 11.938875 12.151558 12.3656845 12.581228 12.798143 13.016368 13.235844 13.456543 13.678492 13.901796 14.126659 14.353389 14.582389 14.81414 15.049177 15.288037 15.531241 15.779242 16.03242 16.291063 16.555374 16.825493 17.101501 17.383469 17.671452 17.965534 18.265818 18.572435 18.885544 19.205317 19.531942 19.865608 20.206505 20.554817 20.910732 21.274433 21.646114 22.025976 22.414225 22.811075 23.216763 23.631517 24.055588 24.48923 24.9327 25.386263 25.850203 26.324797 26.810335 27.307116 27.815447 28.33564 28.868017 29.412903 29.97063 30.541536 31.125961 31.724253 32.336758 32.963833 33.605835 34.26312 34.936047 35.62499 36.3303 37.052353 37.791523 38.548172 39.32268 40.11543 40.92679 41.757145 42.606876 43.476364 44.365982 45.276108 46.20711 47.159363 48.133205 49.128986 50.147034 51.187653 52.251133 53.337746 54.447735 55.58132 56.738712 57.9201 59.12566 60.35555 61.609905 62.888847 64.19247 65.52086 66.87408 68.252205 69.65532 71.08359 72.53719 74.01639 75.5215 77.05286 78.61079 80.19558 81.80745 83.44657 85.11312 86.807365 88.52973 90.281 92.062294 93.875145 95.72137 97.60291 99.52153 101.478455 103.474075 105.50755 107.576744 109.67815 111.80705 113.95789 116.12472 118.30167 120.48349 122.66591 124.84583 127.02145 129.19206 131.35786 133.51962 135.67842 137.8352 139.99078 142.14561 144.29985 146.45341 148.60605 150.75746 152.90742 155.05579 157.20248 159.34758 161.49115 163.63329 165.77411 167.91368 170.05203 172.18912 174.32495 176.45952 178.59279 180.72478 182.8555 184.98494 187.11313 189.24011 191.36588 193.49045 195.61383 197.73604 199.85706 201.97693 204.09564 206.2132 208.32962 210.44492 212.5591 214.67216 216.78415 218.89505 221.00487 223.11362 225.22133 227.32797 229.43358 231.53818 233.64174 235.7443 237.84586 239.94643 242.04602 244.14465 246.24231 248.33902 250.43481 252.52965 254.62355 256.71655 258.80865 260.89987 262.9902 265.07965 267.16824 269.25598 271.34283 273.4289 275.51413 277.5985 279.6821 281.7649 283.8469 285.92813 288.00854 290.08823 292.16718 294.24533 296.3228 298.3995 300.47552 302.5508 304.6254 306.6993 308.77255 310.84512 312.917 314.98822 317.05884 319.1288 321.19815 323.26688 325.335 327.4025 329.46942 331.53577 333.60153 335.66678 337.7314 339.7955 341.8591 343.92215 345.98468 348.0467 350.10825 352.16925 354.2298 356.2899 358.3495 360.40866 362.46738 364.52563 366.58347 368.6409 370.6979 372.75452 374.81073 376.86658 378.922 380.9771 383.03183 385.08624 387.14026 389.19397 391.24734 393.3004 395.35318 397.40564 399.45786 401.50974 403.56137 405.61273 407.66385 409.71472 411.76535 413.81577 415.86594 417.91595 419.96573 422.01532 424.06473 426.11395 428.163 430.21194 432.26068 434.3093 436.3578 438.40616 440.45444 442.5026 444.55063 446.5986 448.64648 450.6943 452.74207 454.78976 456.83743 458.88504 460.93265 462.98022 465.02777 0.14796701 0.2965442 0.44573736 0.59555334 0.7459982 0.8970787 1.0488013 1.2011725 1.354199 1.5078875 1.6622447 1.8172771 1.9729916 2.1293948 2.2864935 2.4442945 2.6028044 2.7620301 2.9219785 3.0826561 3.2440703 3.406227 3.5691342 3.732798 3.897226 4.0624247 4.2284017 4.395163 4.562717 4.73107 4.90023 5.070204 5.2409987 5.4126225 5.5850825 5.758386 5.9325414 6.107556 6.283437 6.460192 6.6378303 6.8163586 6.995786 7.1761208 7.357371 7.539545 7.7226515 7.9066978 8.091692 8.277641 8.464555 8.652441 8.84131 9.031173 9.22204 9.413925 9.606834 9.800777 9.995756 10.191774 10.388834 10.586937 10.786095 10.986324 11.187649 11.390101 11.593716 11.798519 12.004526 12.21173 12.4201 12.629581 12.84011 13.051621 13.264083 13.477513 13.692005 13.907746 14.125022 14.34421 14.565757 14.790158 15.017913 15.249492 15.485307 15.725692 15.970894 16.221075 16.47633 16.736704 17.002222 17.272902 17.548773 17.829891 18.11633 18.40818 18.705553 19.008558 19.317308 19.631905 19.952442 20.27901 20.61169 20.950562 21.2957 21.647184 22.005089 22.369488 22.740452 23.11805 23.502338 23.893368 24.291183 24.695816 25.107286 25.525604 25.95076 26.382738 26.8215 27.266989 27.71913 28.17782 28.64294 29.114336 29.591827 30.075209 30.564236 31.058636 31.558092 32.062263 32.57076 33.083157 33.598988 34.11775 34.638885 35.161808 35.685883 36.210434 36.73474 37.25804 37.77953 38.298367 38.813667 39.32452 39.82997 40.329044 40.82074 41.304043 41.777924 42.24135 42.693302 43.132774 43.5588 43.97044 44.36683 44.747154 45.110687 45.45679 45.784924 46.09465 46.385666 46.65778 46.910934 47.14522 47.360867 47.558224 47.73778 47.90014 48.046005 48.176167 48.291492 48.392914 48.481415 48.558014 48.623756 48.679695 48.72688 48.76631 48.798965 48.82574 48.84747 48.86491 48.878746 48.88958 48.897945 48.904316 48.909092 48.91262 48.91519 48.91704 48.918354 48.91928 48.91993 48.92038 48.9207 48.920925 48.921085 48.921207 48.9213 48.92137 48.921436 48.92149 48.921535 48.92158 48.921627 48.92167 48.92171 48.921753 48.921795 48.921837 48.92188 48.92192 48.921963 48.922005 48.922047 48.92209 48.922134 48.922176 48.92222 48.922264 48.922306 48.922348 48.922394 48.922436 48.92248 48.922523 48.92257 48.92261 48.922657 48.922703 48.922745 48.92279 48.922836 48.92288 48.922924 48.92297 48.923016 48.923058 48.923103 48.92315 48.923195 48.923237 48.923283 48.92333 48.923374 48.92342 48.923462 48.923508 48.923553 48.9236 48.923645 48.923687 48.923733 48.92378 48.923824 48.92387 48.923912 48.923958 48.924004 48.924046 48.92409 48.924137 48.92418 48.924225 48.92427 48.924313 48.92436 48.9244 48.924446 48.924488 48.924534 48.924576 48.92462 48.924664 48.924706 48.924747 48.924793 48.924835 48.924877 48.92492 48.92496 48.925003 48.925045 48.925087 48.92513 48.92517 48.925213 48.925255 48.925297 48.925335 48.925377 48.925415 48.925457 48.925495 48.925537 48.925575 48.925617 48.925655 48.925694 48.92573 48.92577 48.925808 48.925846 48.925884 48.925922 48.92596 48.925995 48.926033 48.92607 48.926105 48.926144 48.926178 48.926212 48.92625 48.926285 48.92632 48.926353 48.926388 48.926422 48.926453 48.926487 48.92652 48.92655 48.926586 48.926617 48.926647 48.92668 48.926712 48.926743 48.926773 48.926804 48.926834 48.92686 48.92689 48.92692 48.92695 48.926975 48.927006 48.927032 48.92706 48.927086 48.927113 48.92714 48.927166 48.92719 48.927216 48.92724 48.927265 48.927288 48.92731 48.927334 48.927357 48.92738 48.927402 48.927425 48.927444 48.927467 (3) Re_theta = 600 --- Re_dstar = 139361.49335414366 --- Re_d99 =392638.5522904062 -- Re_X = 409280.00000000006 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 0.1764616 0.3536751 0.5316508 0.710399 0.88993025 1.0702552 1.2513845 1.4333287 1.616099 1.7997062 1.984161 2.1694746 2.355658 2.5427222 2.730678 2.9195364 3.1093082 3.3000042 3.4916356 3.6842124 3.8777463 4.072247 4.2677264 4.4641943 4.6616616 4.86014 5.0596395 5.2601724 5.461748 5.6643786 5.8680754 6.07285 6.2787147 6.4856806 6.6937594 6.9029636 7.113305 7.324796 7.5374494 7.751278 7.9662933 8.182508 8.399939 8.618595 8.838492 9.059645 9.282064 9.505765 9.730759 9.95706 10.18468 10.413637 10.643944 10.87562 11.108683 11.343149 11.579035 11.816354 12.055115 12.295325 12.536992 12.780126 13.024742 13.270866 13.518536 13.767796 14.018693 14.271268 14.525545 14.781523 15.039169 15.298426 15.559218 15.821476 16.085163 16.35031 16.617043 16.8856 17.156347 17.429766 17.706429 17.986969 18.272028 18.562218 18.858078 19.160057 19.468493 19.78362 20.105598 20.43452 20.770456 21.113468 21.463646 21.821096 22.185972 22.558443 22.938705 23.326967 23.723436 24.128319 24.541819 24.964138 25.395472 25.836027 26.286016 26.745657 27.215176 27.694822 28.184837 28.685484 29.19703 29.719744 30.253908 30.799816 31.357765 31.928062 32.51103 33.106995 33.716293 34.339287 34.97633 35.6278 36.294075 36.975555 37.672646 38.38576 39.115334 39.8618 40.62562 41.407253 42.207172 43.02586 43.863815 44.721542 45.59955 46.498352 47.41848 48.360455 49.324806 50.312054 51.322723 52.357338 53.416416 54.500473 55.61004 56.74563 57.90779 59.097065 60.314007 61.55917 62.83313 64.13645 65.46968 66.83337 68.228035 69.654175 71.112236 72.60261 74.12562 75.68153 77.27058 78.89285 80.54845 82.23739 83.959785 85.71575 87.50544 89.32899 91.18653 93.07821 95.004166 96.964355 98.958496 100.986084 103.04694 105.14145 107.270485 109.43534 111.637695 113.87947 116.16271 118.48924 120.86025 123.275955 125.73511 128.23505 130.77158 133.33932 135.93173 138.5403 141.15665 143.7753 146.39241 149.00468 151.6102 154.20837 156.79964 159.38509 161.96614 164.5441 167.12003 169.6946 172.26805 174.84036 177.41132 179.98058 182.54794 185.11327 187.6765 190.2377 192.79704 195.35461 197.9106 200.46503 203.01799 205.56941 208.11934 210.66774 213.2146 215.7599 218.30368 220.84595 223.38672 225.92604 228.4639 231.00035 233.53537 236.06898 238.60118 241.132 243.66144 246.18951 248.71622 251.2416 253.76562 256.28833 258.80972 261.32986 263.84866 266.36624 268.88254 271.39758 273.91138 276.42395 278.93533 281.44547 283.95444 286.46222 288.96884 291.4743 293.97864 296.4818 298.9839 301.4848 303.98465 306.4834 308.98108 311.4777 313.97324 316.46774 318.9612 321.4537 323.94513 326.43558 328.92505 331.41348 333.901 336.3876 338.8732 341.35788 343.8416 346.32446 348.80643 351.2875 353.7677 356.24698 358.72546 361.20306 363.67984 366.1558 368.63095 371.1053 373.57886 376.0516 378.52362 380.99487 383.4654 385.93515 388.40417 390.87253 393.34015 395.80707 398.27332 400.7389 403.20383 405.66806 408.13168 410.5947 413.05704 415.5188 417.98 420.44058 422.9006 425.36005 427.81894 430.27728 432.7351 435.1924 437.64917 440.10547 442.56125 445.01657 447.47137 449.92578 452.3797 454.8332 457.28625 459.73895 462.19116 464.643 467.09445 469.54556 471.99628 474.44666 476.8967 479.34637 481.79575 484.24478 486.69357 489.142 491.59018 494.0381 496.48575 498.93317 501.38034 503.82727 506.274 508.72046 511.16678 513.6129 516.05884 518.50464 520.95026 523.39575 525.84106 528.2863 530.7314 533.1764 535.62134 538.0661 540.51086 542.95557 545.4002 547.8448 550.28937 552.7339 555.1784 0.17657728 0.35386187 0.53185135 0.7105442 0.8899217 1.0699627 1.2506322 1.431889 1.6136812 1.7959491 1.9786254 2.1616352 2.344899 2.5283322 2.7118492 2.895361 3.0787811 3.2620244 3.4450097 3.62766 3.8099053 3.991682 4.172934 4.353613 4.5336785 4.7130985 4.8918467 5.0699053 5.2472615 5.423908 5.599843 5.7750664 5.949583 6.1233983 6.29652 6.4689565 6.6407166 6.811808 6.9822397 7.1520195 7.3211546 7.489651 7.657516 7.824754 7.9913716 8.157373 8.3227625 8.487545 8.651725 8.815307 8.978297 9.140703 9.302533 9.463799 9.624515 9.784691 9.944342 10.10348 10.262117 10.420265 10.577935 10.735146 10.891915 11.048275 11.204258 11.359906 11.515263 11.670365 11.825242 11.979906 12.134353 12.288561 12.442502 12.596152 12.749507 12.902599 13.055516 13.208406 13.361485 13.515023 13.66934 13.824774 13.981659 14.140305 14.300974 14.463866 14.629122 14.796819 14.9669895 15.139634 15.314734 15.492275 15.672247 15.854657 16.039528 16.226898 16.416815 16.60933 16.804495 17.002361 17.202978 17.406391 17.612648 17.821798 18.033897 18.24901 18.467201 18.688555 18.913153 19.141094 19.372482 19.607431 19.846064 20.088505 20.334894 20.585373 20.84009 21.099194 21.362837 21.631166 21.90433 22.182467 22.465708 22.754185 23.048018 23.347322 23.652216 23.962809 24.279213 24.601542 24.929903 25.2644 25.60513 25.952158 26.305542 26.665287 27.031363 27.40367 27.782045 28.16624 28.555925 28.95067 29.349966 29.753218 30.15978 30.568966 30.980087 31.392479 31.805527 32.21867 32.63139 33.043163 33.453407 33.861393 34.26618 34.666595 35.061256 35.448658 35.82736 36.196205 36.554516 36.901768 37.237057 37.558987 37.86606 38.15697 38.43072 38.686634 38.924377 39.143818 39.34491 39.527668 39.69229 39.839573 39.971012 40.088326 40.1929 40.285812 40.367985 40.440304 40.503616 40.558704 40.606262 40.64691 40.681267 40.70997 40.733593 40.752697 40.76776 40.77896 40.78679 40.792355 40.796516 40.79962 40.80192 40.80363 40.804893 40.805832 40.806522 40.807037 40.807423 40.807713 40.807938 40.80811 40.808247 40.80836 40.80846 40.808544 40.80862 40.80869 40.808754 40.808815 40.808876 40.808933 40.80899 40.809048 40.809105 40.80916 40.809216 40.80927 40.809322 40.809376 40.80943 40.809483 40.809536 40.80959 40.80964 40.809692 40.809746 40.809795 40.809845 40.8099 40.809948 40.809998 40.810047 40.810097 40.810146 40.810196 40.810246 40.810295 40.81034 40.81039 40.810436 40.810486 40.81053 40.810577 40.810627 40.810673 40.81072 40.810764 40.81081 40.810856 40.810898 40.810944 40.81099 40.81103 40.811077 40.81112 40.811165 40.811207 40.81125 40.81129 40.811333 40.811375 40.811417 40.81146 40.8115 40.81154 40.81158 40.81162 40.81166 40.8117 40.811737 40.811775 40.811817 40.811855 40.811893 40.811928 40.811966 40.812004 40.812042 40.812077 40.812115 40.81215 40.812183 40.81222 40.812256 40.81229 40.812325 40.81236 40.81239 40.812424 40.812458 40.81249 40.812523 40.812553 40.812584 40.81262 40.81265 40.81268 40.81271 40.81274 40.812767 40.812798 40.812828 40.812855 40.812885 40.812912 40.81294 40.812965 40.812992 40.81302 40.813046 40.813072 40.8131 40.81312 40.81315 40.81317 40.813194 40.813217 40.813244 40.813267 40.813286 40.81331 40.81333 40.813354 40.813374 40.813396 40.813416 40.813435 40.813454 40.813473 40.81349 40.81351 40.81353 40.813545 40.813564 40.81358 40.8136 40.813614 40.81363 40.813644 40.81366 40.813675 40.81369 40.8137 40.813717 40.81373 40.81374 40.813755 40.813766 40.813778 40.813786 40.813797 40.81381 40.813816 40.813828 (4) Re_theta = 700 --- Re_dstar = 131099.61075172815 --- Re_d99 =502245.4010371651 -- Re_X = 484799.9999999999 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 0.25478616 0.5106401 0.7675976 1.0256951 1.2849686 1.5454539 1.8071866 2.070201 2.33453 2.6002061 2.8672588 3.1357164 3.4056048 3.6769483 3.949769 4.224087 4.4999223 4.7772913 5.0562105 5.3366942 5.6187577 5.902413 6.1876736 6.474551 6.7630577 7.053205 7.3450027 7.638463 7.9335957 8.230412 8.52892 8.829134 9.1310625 9.434716 9.740106 10.047241 10.356135 10.666798 10.979239 11.293472 11.609508 11.927357 12.247034 12.568551 12.891921 13.217158 13.544275 13.873285 14.204201 14.537037 14.871804 15.208524 15.547211 15.887889 16.230577 16.5753 16.922073 17.270916 17.621838 17.974848 18.329952 18.687168 19.046515 19.408031 19.77177 20.137798 20.506187 20.876995 21.250261 21.625984 22.004118 22.384579 22.767262 23.152063 23.538937 23.927927 24.31922 24.713171 25.11032 25.511368 25.917162 26.328632 26.746714 27.172312 27.606216 28.04908 28.501398 28.963516 29.43566 29.917965 30.41053 30.913439 31.426819 31.950817 32.485645 33.031544 33.588787 34.15766 34.738457 35.331455 35.936935 36.55517 37.18641 37.83094 38.48903 39.16097 39.847034 40.547546 41.262802 41.993134 42.73887 43.500355 44.277943 45.07201 45.882923 46.711063 47.55682 48.420597 49.302795 50.20385 51.1242 52.064293 53.024586 54.005527 55.00757 56.031147 57.07671 58.144726 59.23571 60.350216 61.48886 62.652275 63.84112 65.056076 66.29779 67.56697 68.864365 70.19074 71.546974 72.93394 74.352585 75.803825 77.28861 78.80786 80.36256 81.95363 83.58195 85.24826 86.95336 88.6982 90.48398 92.31205 94.18346 96.098976 98.05966 100.06706 102.12279 104.22856 106.38672 108.599556 110.86779 113.18944 115.56039 117.97652 120.43501 122.934555 125.47584 128.06151 130.69554 133.38123 136.12004 138.91266 141.75934 144.65967 147.61401 150.62405 153.69186 156.81885 160.00679 163.25925 166.58047 169.97314 173.43668 176.96658 180.55807 184.20857 187.91486 191.6712 195.46536 199.28023 203.10428 206.93307 210.76202 214.58269 218.38478 222.16164 225.91554 229.65575 233.38947 237.1206 240.85307 244.58768 248.3186 252.04076 255.75752 259.4739 263.19046 266.90677 270.62146 274.33142 278.03455 281.73114 285.42322 289.1131 292.8021 296.49017 300.1771 303.86224 307.54523 311.22568 314.90283 318.57578 322.24478 325.91095 329.5751 333.23758 336.89816 340.55658 344.21265 347.86652 351.51852 355.16904 358.8183 362.46625 366.1128 369.75806 373.40225 377.04556 380.68802 384.32953 387.97 391.60974 395.24902 398.88763 402.5254 406.16223 409.79745 413.4292 417.0553 420.67578 424.29245 427.90695 431.52 435.13184 438.74268 442.3526 445.96133 449.5687 453.1746 456.7792 460.38272 463.98477 467.58456 471.18158 474.77594 478.36826 481.95905 485.54843 489.1364 492.72308 496.30832 499.89233 503.47507 507.05646 510.63663 514.2155 517.79315 521.36957 524.9448 528.51886 532.09174 535.66345 539.234 542.80347 546.3718 549.9391 553.50525 557.0704 560.6344 564.19745 567.75946 571.3205 574.8805 578.4396 581.99774 585.5549 589.11115 592.66644 596.2209 599.7745 603.3272 606.879 610.4301 613.9803 617.5297 621.07837 624.6262 628.17334 631.7197 635.2654 638.8103 642.35455 645.8981 649.44104 652.9833 656.5249 660.0659 663.6063 667.1462 670.6854 674.22406 677.76227 681.29987 684.837 688.37366 691.9097 695.44543 698.98065 702.51544 706.0498 709.58374 713.1173 716.6505 720.18335 723.7159 727.24805 730.77985 734.3114 737.8426 741.37366 744.90436 748.4348 751.9651 755.4952 759.025 762.5547 766.0842 769.6136 773.1428 776.6719 780.2009 783.7298 787.2586 790.7874 794.31616 797.84485 801.3735 0.25513488 0.5115565 0.7691891 1.0279568 1.2876319 1.5479724 1.8086331 2.069243 2.3293817 2.5886116 2.8464937 3.1025891 3.3564928 3.6078155 3.85622 4.101395 4.343085 4.581064 4.8151574 5.0452185 5.271142 5.4928484 5.710287 5.9234295 6.1322656 6.3368034 6.537063 6.733079 6.9248905 7.1125517 7.296118 7.475655 7.6512313 7.8229218 7.9908032 8.154959 8.315471 8.472426 8.625915 8.776026 8.9228525 9.066486 9.207024 9.344559 9.479189 9.611009 9.740114 9.866602 9.990564 10.112096 10.231289 10.348232 10.463015 10.575723 10.686439 10.795242 10.902208 11.007407 11.110905 11.212762 11.313041 11.4118 11.509103 11.605012 11.699597 11.792931 11.885083 11.976128 12.066127 12.155138 12.243209 12.330378 12.416679 12.502152 12.586844 12.670821 12.754179 12.837041 12.919563 13.001931 13.084346 13.167016 13.250146 13.3339205 13.418497 13.503997 13.590509 13.678086 13.766756 13.856525 13.94739 14.039338 14.1323595 14.226444 14.321587 14.417781 14.515027 14.613321 14.712665 14.813059 14.914513 15.017042 15.120677 15.225461 15.331453 15.438723 15.547349 15.657413 15.768988 15.882135 15.996898 16.113293 16.231316 16.350937 16.472113 16.59479 16.718927 16.844503 16.97153 17.100056 17.230143 17.361858 17.495235 17.630245 17.766775 17.904629 18.043583 18.183441 18.32411 18.465601 18.608007 18.75146 18.896088 19.042023 19.189404 19.338404 19.489212 19.64203 19.797056 19.954454 20.114336 20.276768 20.441881 20.609982 20.781519 20.956848 21.136047 21.318981 21.50555 21.695852 21.889956 22.087538 22.287703 22.489553 22.693157 22.899786 23.11145 23.330395 23.558523 23.79615 24.0395 24.27994 24.50854 24.72074 24.915855 25.094954 25.260098 25.414162 25.560696 25.702784 25.841463 25.976156 26.106127 26.230953 26.35058 26.464859 26.57333 26.67587 26.772585 26.863583 26.949465 27.030655 27.106102 27.174374 27.235773 27.291742 27.34331 27.39072 27.433651 27.472536 27.509409 27.546547 27.583937 27.618368 27.645931 27.664919 27.677057 27.685818 27.693266 27.700268 27.707895 27.71649 27.72482 27.73188 27.738333 27.744904 27.751541 27.757874 27.763077 27.766228 27.76734 27.767277 27.766775 27.766163 27.76546 27.764624 27.763712 27.762892 27.76232 27.762054 27.762056 27.762293 27.762785 27.763544 27.764582 27.76595 27.767666 27.769716 27.772085 27.774769 27.777798 27.781277 27.785233 27.789509 27.793905 27.798311 27.802696 27.807077 27.811417 27.8156 27.819584 27.823418 27.827087 27.830496 27.83354 27.836174 27.838358 27.83997 27.840935 27.841427 27.841719 27.841944 27.84213 27.842304 27.842493 27.842707 27.842913 27.843058 27.843111 27.843096 27.843048 27.842972 27.842873 27.842775 27.842697 27.842634 27.842573 27.842512 27.842453 27.842394 27.842335 27.842278 27.84222 27.842163 27.842106 27.842049 27.841993 27.841938 27.841885 27.84183 27.841776 27.841722 27.84167 27.841618 27.841566 27.841515 27.841463 27.841413 27.841362 27.841312 27.841265 27.841215 27.841167 27.84112 27.841072 27.841024 27.840979 27.840933 27.840887 27.840841 27.840796 27.840752 27.840708 27.840664 27.84062 27.840578 27.840534 27.840492 27.84045 27.840408 27.840368 27.840326 27.840286 27.840246 27.840206 27.840166 27.840126 27.840088 27.84005 27.840012 27.839973 27.839935 27.839897 27.83986 27.839823 27.839787 27.83975 27.839714 27.83968 27.839643 27.839607 27.839573 27.839539 27.839504 27.83947 27.839436 27.839401 27.839369 27.839334 27.839302 27.83927 27.839237 27.839205 27.839172 27.83914 27.839108 27.839077 27.839045 27.839014 27.838984 27.838953 27.838923 27.838892 27.838861 27.83883 27.8388 27.838772 (5) Re_theta = 800 --- Re_dstar = 122362.93385722573 --- Re_d99 =652384.0501296456 -- Re_X = 528159.9999999999 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 0.33036 0.66216475 0.99550027 1.3304533 1.6671091 2.0055532 2.3458686 2.688135 3.0324283 3.3788192 3.7273722 4.078145 4.4311895 4.7865486 5.14426 5.504354 5.866855 6.231783 6.599151 6.968969 7.3412437 7.7159767 8.093169 8.472819 8.854924 9.23948 9.626481 10.0159235 10.407802 10.802112 11.19885 11.598015 11.999604 12.403618 12.810057 13.218923 13.6302185 14.043951 14.460125 14.878748 15.299828 15.723374 16.149399 16.577917 17.008938 17.442478 17.878551 18.31717 18.758348 19.202105 19.64845 20.097412 20.549006 21.003258 21.460197 21.919847 22.382233 22.84737 23.31527 23.785942 24.25939 24.735628 25.21468 25.696587 26.181417 26.669249 27.16017 27.654247 28.151524 28.651987 29.155567 29.662142 30.171556 30.683668 31.1984 31.715805 32.23612 32.759804 33.287563 33.820328 34.359207 34.90542 35.460194 36.02472 36.60002 37.18695 37.786148 38.39804 39.022903 39.660896 40.31212 40.976658 41.65465 42.34628 43.051785 43.771477 44.505688 45.254787 46.01914 46.79911 47.595055 48.40733 49.23627 50.082237 50.945595 51.826706 52.725952 53.643745 54.580486 55.536606 56.51254 57.508728 58.525616 59.563683 60.623386 61.70521 62.80963 63.93714 65.08821 66.26332 67.46295 68.687584 69.937706 71.21381 72.51644 73.846115 75.20336 76.58874 78.00281 79.44619 80.91956 82.42362 83.959114 85.526794 87.1274 88.76168 90.43036 92.13408 93.8735 95.64927 97.462135 99.312836 101.20215 103.1308 105.09961 107.10958 109.16197 111.258095 113.39928 115.58681 117.82209 120.10663 122.44181 124.82885 127.26862 129.7619 132.30956 134.91258 137.5722 140.28984 143.0668 145.90416 148.8031 151.76476 154.79004 157.87975 161.03525 164.2586 167.55164 170.91554 174.35161 177.86172 181.44774 185.1098 188.8472 192.66074 196.55325 200.52853 204.59077 208.74417 212.9916 217.33543 221.77866 226.3203 230.95435 235.67418 240.47183 245.33661 250.25598 255.21423 260.19357 265.18082 270.1699 275.15784 280.14078 285.11423 290.07776 295.03586 299.99298 304.94724 309.88968 314.81183 319.71304 324.59796 329.4707 334.33453 339.19153 344.04102 348.8807 353.7117 358.5381 363.3627 368.18637 373.00916 377.83142 382.65295 387.4718 392.28488 397.0898 401.8862 406.67432 411.4548 416.22888 420.9969 425.7579 430.5119 435.2598 440.00214 444.73883 449.4705 454.19888 458.92493 463.64786 468.3663 473.07904 477.78525 482.4851 487.1802 491.87268 496.5639 501.25412 505.94418 510.6355 515.32935 520.0267 524.7275 529.4287 534.12646 538.8189 543.5088 548.19934 552.888 557.57 562.2461 566.9197 571.59216 576.26337 580.93243 585.5996 590.26666 594.93506 599.6048 604.27435 608.9424 613.6069 618.2658 622.91876 627.5663 632.2094 636.85004 641.4896 646.1294 650.7693 655.40875 660.0468 664.6825 669.31494 673.9435 678.568 683.1889 687.8072 692.4234 697.0381 701.6512 706.2628 710.8731 715.48193 720.08936 724.69543 729.30023 733.9036 738.50574 743.10657 747.7062 752.30444 756.90155 761.49744 766.09216 770.68567 775.2781 779.86945 784.45953 789.0487 793.6367 798.22375 802.8097 807.39465 811.97864 816.56165 821.14374 825.7249 830.3051 834.88446 839.46295 844.0406 848.61743 853.1934 857.76874 862.34314 866.9169 871.4898 876.06213 880.6337 885.20465 889.77496 894.3446 898.91364 903.48206 908.0499 912.61725 917.184 921.7503 926.31604 930.8814 935.4463 940.0107 944.5747 949.13824 953.7015 958.2644 962.8269 967.3891 971.95105 976.51263 981.0741 985.6352 990.1961 994.75684 999.3174 1003.8777 1008.4379 1012.99805 1017.558 1022.1179 1026.6777 1031.2375 1035.7972 0.33060333 0.6626104 0.9958935 1.3303235 1.6654981 2.0009794 2.3361387 2.6702971 3.0026855 3.3325062 3.6589622 3.981264 4.2986875 4.610545 4.9162498 5.215268 5.5071764 5.7916117 6.0683107 6.3370714 6.5977745 6.8503556 7.094814 7.331196 7.5595913 7.7801304 7.992971 8.198301 8.396324 8.587266 8.7713585 8.948847 9.119978 9.285005 9.444175 9.597741 9.745946 9.889033 10.027235 10.160782 10.289893 10.414783 10.535653 10.652701 10.766114 10.876068 10.982733 11.086266 11.186817 11.28453 11.379537 11.471963 11.561929 11.649546 11.734919 11.818146 11.89932 11.978523 12.055838 12.131333 12.205081 12.277144 12.347588 12.416471 12.483854 12.549797 12.614355 12.677578 12.7395115 12.800192 12.85965 12.91791 12.974996 13.030935 13.085763 13.139528 13.192299 13.244161 13.295218 13.345589 13.395398 13.444774 13.49383 13.542669 13.591372 13.639993 13.688563 13.737094 13.785579 13.833998 13.882327 13.930543 13.9786215 14.026548 14.074317 14.121928 14.169392 14.2167225 14.263946 14.311086 14.358173 14.405239 14.452316 14.499435 14.546625 14.593914 14.64133 14.688904 14.736673 14.784679 14.832966 14.881576 14.930545 14.979897 15.029643 15.079782 15.130296 15.181159 15.232336 15.283787 15.3354645 15.387317 15.439285 15.491309 15.543341 15.59534 15.647285 15.699178 15.751045 15.80295 15.854977 15.907224 15.959775 16.012686 16.06598 16.119677 16.173805 16.228424 16.283646 16.339647 16.39665 16.454884 16.514523 16.57564 16.638226 16.70228 16.767902 16.835318 16.904856 16.97687 17.051615 17.129179 17.209457 17.29215 17.376743 17.462648 17.549301 17.636248 17.72332 17.810766 17.89914 17.98907 18.080925 18.174774 18.270655 18.368452 18.46769 18.567745 18.668032 18.768023 18.867447 18.966349 19.064734 19.162271 19.258444 19.352833 19.445192 19.535357 19.622944 19.707273 19.787766 19.86442 19.937574 20.007212 20.07318 20.13554 20.194468 20.250645 20.305239 20.35913 20.41259 20.465414 20.51721 20.5676 20.616024 20.661842 20.704805 20.744987 20.782288 20.816288 20.846653 20.873611 20.898039 20.920937 20.942984 20.96453 20.98568 21.006367 21.026575 21.046408 21.065813 21.08439 21.101765 21.117794 21.132345 21.145132 21.15593 21.164843 21.172129 21.177908 21.18225 21.185383 21.187645 21.189314 21.190561 21.191538 21.192354 21.192919 21.192932 21.19212 21.19039 21.187916 21.18521 21.182888 21.181366 21.180765 21.181038 21.182041 21.183596 21.185581 21.187971 21.190756 21.193914 21.197464 21.201412 21.205622 21.209864 21.214035 21.218155 21.222176 21.226074 21.229876 21.233517 21.23697 21.240297 21.243519 21.246578 21.24939 21.251936 21.254333 21.256723 21.259115 21.261354 21.263262 21.264776 21.265966 21.267006 21.268028 21.26907 21.27012 21.271164 21.27216 21.273062 21.273838 21.274483 21.275017 21.275463 21.275833 21.276138 21.276403 21.27665 21.27689 21.277128 21.277365 21.277603 21.27784 21.278074 21.27831 21.278545 21.278778 21.279013 21.279245 21.279478 21.279709 21.27994 21.28017 21.280401 21.28063 21.280859 21.281088 21.281317 21.281544 21.28177 21.281996 21.28222 21.282446 21.282671 21.282896 21.28312 21.283342 21.283564 21.283787 21.284008 21.284227 21.284449 21.284668 21.284887 21.285105 21.285324 21.285542 21.285759 21.285975 21.28619 21.286406 21.286621 21.286835 21.28705 21.287262 21.287476 21.287687 21.287899 21.28811 21.28832 21.288532 21.288742 21.28895 21.28916 21.289368 21.289576 21.289782 21.28999 21.290195 21.2904 21.290606 21.29081 21.291014 21.291218 21.29142 21.291622 21.291824 21.292027 21.292227 21.292429 21.292627 21.292828 21.293026 21.293224 (6) Re_theta = 900 --- Re_dstar = 132039.14725119004 --- Re_d99 =800860.7216940363 -- Re_X = 582879.9999999999 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 0.33717954 0.6758545 1.0161147 1.358051 1.7017549 2.0473182 2.3948321 2.744386 3.0960667 3.4499578 3.806137 4.1646767 4.525642 4.8890915 5.2550755 5.623637 5.994812 6.368628 6.745107 7.1242633 7.506108 7.890644 8.277873 8.66779 9.060391 9.4556675 9.853608 10.254202 10.657437 11.063302 11.471785 11.882874 12.296558 12.71283 13.131679 13.553098 13.977082 14.403628 14.832732 15.264394 15.698612 16.135391 16.574736 17.016653 17.46115 17.908234 18.357916 18.810207 19.265116 19.72266 20.182848 20.645702 21.11124 21.57949 22.050476 22.524225 23.000755 23.480091 23.962238 24.447205 24.934998 25.425629 25.919123 26.415525 26.914902 27.41734 27.922922 28.431726 28.943792 29.459114 29.977615 30.499174 31.023632 31.550844 32.080734 32.61335 33.14894 33.687984 34.231205 34.779556 35.33418 35.896328 36.467274 37.048233 37.640263 38.244236 38.860813 39.490437 40.133396 40.789856 41.459927 42.143707 42.841347 43.553024 44.279007 45.019604 45.775158 46.546036 47.332603 48.13522 48.954224 49.78996 50.642746 51.512924 52.40084 53.306847 54.23131 55.17463 56.137184 57.119385 58.121647 59.144382 60.188015 61.252975 62.339703 63.44864 64.580246 65.735 66.91336 68.115845 69.34295 70.59519 71.8731 73.177216 74.508095 75.86631 77.25243 78.66707 80.11081 81.58426 83.088036 84.62277 86.18911 87.78773 89.41932 91.0846 92.78433 94.51924 96.290085 98.09757 99.94246 101.825485 103.74744 105.70908 107.71124 109.754715 111.84041 113.969246 116.14223 118.36036 120.624695 122.93627 125.2961 127.70519 130.16461 132.67537 135.23854 137.85526 140.52678 143.25436 146.03928 148.88261 151.78548 154.74902 157.77461 160.8637 164.01797 167.23918 170.52905 173.88908 177.32066 180.82504 184.40334 188.0562 191.78429 195.58861 199.47089 203.4337 207.4805 211.61517 215.84177 220.16412 224.58528 229.10654 233.72697 238.44298 243.24707 248.12816 253.07274 258.06635 263.09457 268.14462 273.206 278.27078 283.33368 288.39157 293.44354 298.4901 303.53265 308.57315 313.61295 318.65152 323.6875 328.72003 333.74847 338.77234 343.79132 348.80508 353.81357 358.81738 363.81696 368.8117 373.80096 378.78467 383.76373 388.73856 393.70914 398.6751 403.63626 408.59238 413.5432 418.48898 423.4303 428.36758 433.30057 438.2288 443.15176 448.0698 452.98346 457.89325 462.79962 467.70273 472.60226 477.49792 482.38947 487.27594 492.1562 497.0295 501.8957 506.7548 511.60666 516.4515 521.2896 526.12134 530.94666 535.7659 540.5795 545.38806 550.192 554.9922 559.789 564.58295 569.3744 574.1632 578.94904 583.7316 588.51117 593.2879 598.0622 602.8343 607.6045 612.3731 617.1402 621.9054 626.66815 631.4281 636.1856 640.9408 645.69415 650.4465 655.1982 659.9502 664.7029 669.45605 674.20856 678.9585 683.7048 688.44696 693.1858 697.9221 702.6563 707.38824 712.11774 716.8447 721.56934 726.29156 731.0115 735.72925 740.44507 745.15924 749.87177 754.5823 759.29016 763.99524 768.69727 773.39667 778.09406 782.78986 787.48425 792.1775 796.8696 801.5605 806.25037 810.93915 815.62683 820.3135 824.99915 829.6838 834.36743 839.0501 843.7319 848.41266 853.0926 857.77167 862.4498 867.1272 871.8037 876.4795 881.1544 885.8286 890.5021 895.1748 899.84686 904.5182 909.18896 913.859 918.52844 923.19727 927.8656 932.53326 937.20044 941.86707 946.5332 951.199 955.8642 960.52893 965.1933 969.85724 974.5208 979.1841 983.84686 988.50946 993.1717 997.8337 1002.4954 1007.15686 1011.8181 1016.4792 1021.1401 1025.8007 1030.4613 1035.1217 1039.7821 1044.4423 1049.1025 1053.7627 1058.4227 0.33723155 0.6758445 1.0157804 1.3569753 1.6991677 2.0420566 2.3851886 2.7280488 3.0700269 3.410458 3.7486413 4.083846 4.415359 4.742467 5.0645123 5.3808665 5.690978 5.9943438 6.290545 6.579224 6.8601017 7.132963 7.3976626 7.6541133 7.902284 8.142197 8.373914 8.597541 8.8132105 9.021089 9.22136 9.414231 9.59992 9.778657 9.950676 10.116221 10.275537 10.428864 10.576446 10.718523 10.8553295 10.987096 11.114045 11.236396 11.354358 11.468133 11.577916 11.683893 11.7862425 11.885134 11.98073 12.073187 12.162651 12.249265 12.333162 12.41447 12.493308 12.569788 12.644016 12.716092 12.786109 12.854157 12.920324 12.984695 13.047353 13.108377 13.167845 13.225828 13.28239 13.337586 13.391463 13.444064 13.495423 13.54558 13.594577 13.642467 13.689318 13.735212 13.780246 13.824528 13.868171 13.911287 13.953982 13.996346 14.038454 14.080358 14.122093 14.16368 14.205123 14.246424 14.287577 14.328581 14.369436 14.410149 14.4507265 14.491181 14.531526 14.57177 14.611924 14.651996 14.691992 14.731918 14.771785 14.8116 14.851373 14.891118 14.930848 14.970577 15.010318 15.050083 15.089882 15.129725 15.169619 15.209566 15.249572 15.289641 15.32978 15.369997 15.410306 15.450722 15.49126 15.531934 15.572757 15.613739 15.654897 15.696243 15.737798 15.779575 15.82159 15.863857 15.906391 15.949204 15.992312 16.035738 16.079512 16.123669 16.168243 16.213253 16.258707 16.304594 16.35089 16.397558 16.44457 16.49191 16.539577 16.58758 16.635956 16.68475 16.734 16.783741 16.834024 16.884901 16.93639 16.988474 17.041122 17.094309 17.14801 17.202236 17.257023 17.312397 17.368359 17.4249 17.48207 17.539942 17.598532 17.657852 17.717924 17.778744 17.840233 17.902273 17.96479 18.027748 18.091124 18.154913 18.219105 18.283676 18.348675 18.414236 18.480473 18.547428 18.615097 18.683506 18.752754 18.82291 18.893936 18.965769 19.038319 19.111301 19.184189 19.256386 19.32735 19.396633 19.463888 19.528795 19.591084 19.650587 19.707216 19.76093 19.811739 19.85974 19.905092 19.947985 19.988596 20.027103 20.06374 20.098799 20.132517 20.16504 20.196487 20.226936 20.256392 20.284885 20.312523 20.339428 20.36566 20.391163 20.41585 20.439667 20.462597 20.48461 20.50566 20.52572 20.544827 20.56302 20.580324 20.596725 20.612204 20.626713 20.640154 20.652443 20.663605 20.67375 20.68298 20.691391 20.699083 20.706171 20.712774 20.718962 20.72472 20.72996 20.734583 20.738537 20.74186 20.744654 20.747034 20.749084 20.75086 20.75241 20.753807 20.75512 20.756395 20.757658 20.758923 20.7602 20.761505 20.762865 20.764336 20.765968 20.7678 20.769827 20.772003 20.774258 20.776558 20.778912 20.781368 20.783974 20.78674 20.789627 20.792568 20.795486 20.798313 20.800997 20.803507 20.805845 20.808054 20.810154 20.81209 20.813782 20.81521 20.816439 20.817575 20.818699 20.81983 20.820961 20.822063 20.823107 20.824074 20.824978 20.825834 20.826632 20.827322 20.827858 20.828228 20.828457 20.82859 20.828678 20.828747 20.828812 20.828875 20.82894 20.829002 20.829065 20.829128 20.829191 20.829254 20.829317 20.82938 20.829443 20.829506 20.829569 20.829632 20.829693 20.829756 20.829819 20.82988 20.829943 20.830004 20.830067 20.830128 20.830189 20.830252 20.830313 20.830374 20.830435 20.830496 20.830557 20.830618 20.830679 20.83074 20.830801 20.830862 20.830921 20.830982 20.831041 20.831102 20.831161 20.831223 20.831282 20.831343 20.831402 20.83146 20.83152 20.83158 20.831638 20.831697 20.831757 20.831816 20.831875 20.831932 20.831991 20.83205 20.832108 20.832167 20.832224 20.832281 20.83234 20.832397 (7) Re_theta = 1000 --- Re_dstar = 146411.75205809195 --- Re_d99 =904813.4572169405 -- Re_X = 631359.9999999999 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 0.3271662 0.6557567 0.98585016 1.3175261 1.6508648 1.985947 2.3228533 2.6616628 3.0024536 3.3453007 3.6902747 4.0374427 4.3868666 4.7386017 5.0926986 5.4492 5.8081446 6.169563 6.5334816 6.8999205 7.2688956 7.6404166 8.014493 8.391127 8.770319 9.152069 9.536373 9.923228 10.312628 10.704564 11.099032 11.496028 11.895543 12.297572 12.702112 13.1091585 13.518708 13.930759 14.345311 14.762366 15.181924 15.603988 16.028564 16.455662 16.885283 17.317442 17.752146 18.189404 18.629225 19.071627 19.516615 19.964212 20.414436 20.867311 21.322863 21.78111 22.24208 22.705788 23.172241 23.641449 24.113415 24.588152 25.065685 25.546059 26.029333 26.515594 27.004927 27.4974 27.993057 28.49189 28.993828 29.49875 30.006506 30.516953 31.030016 31.545748 32.064384 32.586388 33.11246 33.643528 34.180695 34.725178 35.278202 35.840954 36.414455 36.999554 37.596886 38.206886 38.82983 39.465878 40.11514 40.777702 41.453712 42.143337 42.84684 43.564518 44.2967 45.043747 45.806015 46.58385 47.37759 48.187565 49.01409 49.85749 50.718105 51.596268 52.492336 53.406696 54.339718 55.291805 56.263363 57.254795 58.266514 59.298954 60.352528 61.427677 62.524837 63.644478 64.78705 65.95305 67.14296 68.357285 69.596535 70.86123 72.15188 73.46902 74.81319 76.18494 77.58483 79.013435 80.471375 81.95924 83.477684 85.02735 86.60889 88.22296 89.87026 91.551476 93.267334 95.01854 96.80587 98.6301 100.49203 102.39244 104.33215 106.31194 108.332664 110.395164 112.50034 114.64907 116.842285 119.08092 121.36593 123.698326 126.079155 128.50948 130.99042 133.5231 136.10858 138.74785 141.442 144.19212 146.99939 149.86499 152.79022 155.77657 158.82568 161.93915 165.1183 168.36436 171.67859 175.06215 178.51617 182.04158 185.63936 189.31084 193.05789 196.88293 200.78912 204.78047 208.86142 213.03586 217.30606 221.67216 226.1316 230.67912 235.30664 240.00378 244.75864 249.55823 254.38918 259.23898 264.0974 268.9571 273.81357 278.66492 283.51123 288.35388 293.1947 298.03583 302.8793 307.7263 312.57687 317.43024 322.28516 327.14062 331.99597 336.8508 341.7051 346.559 351.4125 356.2656 361.11813 365.96967 370.81992 375.66846 380.51477 385.35806 390.19794 395.03455 399.86816 404.6986 409.52545 414.34842 419.16736 423.98236 428.79306 433.59918 438.40036 443.19638 447.98712 452.77246 457.5526 462.32806 467.09912 471.86554 476.6272 481.38425 486.13684 490.88525 495.62933 500.36902 505.10428 509.83514 514.5615 519.28326 524.0002 528.7123 533.41956 538.1221 542.81995 547.5134 552.2025 556.8872 561.56744 566.2435 570.91547 575.5832 580.24646 584.9054 589.56024 594.211 598.8576 603.50024 608.1391 612.7744 617.40686 622.0368 626.66437 631.2896 635.9123 640.53253 645.15015 649.7652 654.37775 658.988 663.59595 668.20184 672.80566 677.40753 682.0076 686.60596 691.2028 695.79834 700.39233 704.9843 709.5739 714.1606 718.7445 723.32574 727.9046 732.4817 737.0571 741.63135 746.2041 750.7754 755.34515 759.9133 764.47986 769.0447 773.6075 778.1681 782.7267 787.2831 791.8378 796.391 800.94293 805.49384 810.0438 814.5929 819.1412 823.68866 828.2353 832.7812 837.3262 841.8704 846.41376 850.9563 855.49786 860.0386 864.5782 869.11676 873.65436 878.1909 882.7267 887.2615 891.7955 896.32874 900.8614 905.39343 909.9249 914.456 918.9865 923.5166 928.04626 932.57544 937.10425 941.6326 946.16064 950.68835 955.2157 959.74274 964.2695 968.79596 973.32227 977.8482 982.374 986.8996 991.42505 995.95026 1000.4754 1005.0004 1009.5253 1014.0501 1018.5749 1023.0997 1027.6243 0.3272142 0.65578485 0.98566234 1.3167926 1.6489505 1.9818769 2.3151798 2.6484122 2.9810414 3.3124833 3.642118 3.9692934 4.2933655 4.6136866 4.929649 5.2406654 5.546211 5.8458004 6.139018 6.4255 6.7049522 6.977136 7.241874 7.4990454 7.748578 7.990451 8.224682 8.451331 8.670487 8.882271 9.086823 9.284309 9.474906 9.658806 9.836207 10.007319 10.172354 10.331524 10.485044 10.633127 10.775984 10.913824 11.046849 11.1752615 11.2992525 11.419013 11.534724 11.646564 11.754701 11.859299 11.960517 12.058505 12.153411 12.245371 12.33452 12.420984 12.504882 12.586327 12.665422 12.74227 12.816965 12.889596 12.960253 13.029022 13.09599 13.161239 13.224848 13.28689 13.347432 13.406531 13.464236 13.520587 13.575621 13.629376 13.681899 13.733242 13.783477 13.83269 13.880983 13.928471 13.97527 14.021501 14.067272 14.112679 14.157795 14.202678 14.247361 14.291862 14.3361845 14.380327 14.424284 14.46805 14.511625 14.555014 14.598226 14.641276 14.684181 14.726958 14.769625 14.812197 14.854687 14.897107 14.939469 14.981785 15.024062 15.066313 15.10855 15.150788 15.193044 15.235335 15.277679 15.320095 15.362596 15.405191 15.447892 15.490707 15.533648 15.576728 15.619963 15.6633625 15.706939 15.750703 15.794662 15.838829 15.883212 15.92782 15.972662 16.017742 16.06306 16.108618 16.154408 16.200426 16.246672 16.293146 16.33985 16.386791 16.43398 16.48143 16.529163 16.5772 16.625555 16.674242 16.723274 16.772661 16.82242 16.872562 16.923092 16.974005 17.025295 17.076967 17.12903 17.181507 17.23441 17.287746 17.341528 17.395748 17.450377 17.505354 17.560629 17.616205 17.672127 17.728432 17.785107 17.842081 17.899261 17.956587 18.014065 18.071735 18.129591 18.187572 18.245604 18.303635 18.361643 18.41962 18.477581 18.535612 18.593832 18.65228 18.71095 18.769884 18.829191 18.889046 18.9496 19.010895 19.072855 19.135399 19.198467 19.261992 19.32577 19.38948 19.452858 19.515757 19.578066 19.639677 19.700504 19.760464 19.819498 19.877602 19.93477 19.99094 20.046032 20.099968 20.152643 20.203981 20.254013 20.30282 20.35042 20.396742 20.441696 20.485228 20.527308 20.567907 20.607008 20.644583 20.680626 20.715162 20.748259 20.779991 20.810442 20.839687 20.867819 20.894932 20.921112 20.94641 20.970854 20.994448 21.017181 21.039082 21.060215 21.080645 21.100388 21.119448 21.137835 21.155575 21.172668 21.189074 21.204737 21.219618 21.233698 21.24698 21.259485 21.271248 21.282288 21.292618 21.302256 21.311226 21.319557 21.327282 21.334433 21.341045 21.34716 21.352798 21.357985 21.362755 21.367159 21.371239 21.37503 21.37857 21.381903 21.38507 21.388107 21.391031 21.393867 21.396646 21.399399 21.40214 21.404856 21.407505 21.410036 21.412403 21.41457 21.416521 21.418255 21.41979 21.421135 21.4223 21.423296 21.42414 21.42486 21.425484 21.426037 21.426548 21.427042 21.427551 21.428097 21.42869 21.429325 21.430004 21.430727 21.431507 21.432362 21.433304 21.43433 21.435427 21.436573 21.437748 21.438925 21.440077 21.441172 21.442183 21.443096 21.44391 21.444645 21.445322 21.445969 21.446608 21.447254 21.447914 21.448591 21.449278 21.449959 21.450617 21.451227 21.451769 21.452225 21.45259 21.452875 21.453096 21.453266 21.45339 21.453476 21.453531 21.45357 21.453602 21.453632 21.453663 21.453691 21.45372 21.453747 21.453772 21.453798 21.453825 21.45385 21.453876 21.453901 21.453926 21.453953 21.453978 21.454002 21.454027 21.454052 21.454077 21.454102 21.454126 21.45415 21.454174 21.454199 21.454222 21.454245 21.45427 21.454292 21.454315 21.454338 21.454361 21.454384 21.454407 21.45443 (8) Re_theta = 1100 --- Re_dstar = 160727.39989885155 --- Re_d99 =982361.5643906654 -- Re_X = 679200.0 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 0.32059768 0.64257616 0.96600735 1.290964 1.6175199 1.9457486 2.2757246 2.6075206 2.9412086 3.2768583 3.6145358 3.9543042 4.2962217 4.6403418 4.986713 5.335378 5.6863747 6.0397344 6.3954854 6.7536483 7.1142426 7.4772806 7.842773 8.210726 8.581143 8.954029 9.32938 9.707198 10.087479 10.470218 10.855413 11.243063 11.633162 12.025707 12.420696 12.818129 13.218002 13.620317 14.025074 14.432277 14.841927 15.254028 15.668589 16.085615 16.505116 16.9271 17.351576 17.778553 18.208042 18.640059 19.074606 19.51171 19.951382 20.39365 20.838533 21.286057 21.736238 22.189096 22.644638 23.10287 23.563797 24.027431 24.493793 24.962927 25.434896 25.90978 26.387661 26.868608 27.352663 27.839817 28.33 28.823097 29.31896 29.81745 30.318491 30.822138 31.328619 31.838387 32.352127 32.870747 33.395317 33.927032 34.467094 35.016647 35.5767 36.14807 36.73139 37.32708 37.935406 38.55653 39.19055 39.837555 40.49769 41.171116 41.858086 42.55889 43.273853 44.003334 44.74767 45.50721 46.282284 47.073223 47.88033 48.70393 49.54436 50.40195 51.27705 52.170033 53.081257 54.011112 54.959988 55.92827 56.91636 57.924667 58.95361 60.003616 61.07512 62.168583 63.284454 64.42321 65.585335 66.77132 67.98164 69.216835 70.4774 71.76388 73.0768 74.41671 75.78417 77.17976 78.60407 80.057686 81.541214 83.05528 84.60054 86.17765 87.78731 89.43018 91.10699 92.81839 94.5651 96.34782 98.1673 100.024284 101.919586 103.854 105.82837 107.84357 109.90048 111.99999 114.14301 116.330444 118.563194 120.84226 123.1687 125.543594 127.96804 130.44312 132.96983 135.54924 138.18239 140.87036 143.6143 146.41537 149.27483 152.19394 155.17409 158.21675 161.32352 164.49588 167.73535 171.04314 174.42007 177.86678 181.38414 184.97336 188.63618 192.375 196.19301 200.09412 204.08257 208.16193 212.33438 216.60034 220.95778 225.4017 229.92393 234.51393 239.1594 243.84703 248.56377 253.29803 258.0402 262.7828 267.52145 272.25452 276.98206 281.70535 286.4264 291.14734 295.86996 300.59552 305.32443 310.05643 314.7907 319.52628 324.2621 328.9974 333.73203 338.46582 343.19843 347.9299 352.6605 357.39044 362.11978 366.8487 371.5774 376.30606 381.03464 385.76294 390.49088 395.21832 399.94507 404.6707 409.395 414.118 418.83954 423.5592 428.27667 432.99173 437.7043 442.41425 447.12137 451.8255 456.52628 461.22314 465.91556 470.60324 475.28607 479.96432 484.63846 489.3088 493.97562 498.63876 503.29813 507.9536 512.6049 517.2518 521.89386 526.5313 531.1642 535.79254 540.41656 545.0361 549.6508 554.26074 558.8656 563.4655 568.0606 572.6511 577.2373 581.8192 586.39703 590.97076 595.5405 600.10626 604.66815 609.2263 613.7808 618.3317 622.8789 627.4225 631.96234 636.49854 641.03143 645.5612 650.08826 654.6128 659.1351 663.6552 668.1734 672.68976 677.20447 681.7176 686.22906 690.7388 695.24664 699.75256 704.25665 708.7588 713.25885 717.75653 722.2515 726.7435 731.23236 735.71796 740.2007 744.68066 749.15826 753.6339 758.108 762.58044 767.0518 771.5219 775.99097 780.4587 784.9251 789.39014 793.85376 798.3161 802.7773 807.2373 811.69617 816.15405 820.6109 825.0668 829.5216 833.97565 838.42865 842.88086 847.33215 851.78265 856.23224 860.68097 865.1289 869.5759 874.02234 878.46814 882.9134 887.35803 891.8023 896.24603 900.68933 905.1322 909.5746 914.01654 918.458 922.899 927.33954 931.77966 936.21906 940.65796 945.09625 949.53406 953.97144 958.4083 962.84485 967.281 971.7168 976.15234 980.58765 985.0228 989.45776 993.8927 998.32764 1002.76245 1007.1972 0.32064575 0.6426239 0.96588904 1.2903911 1.6159232 1.9422462 2.2689989 2.5957677 2.9220593 3.2473302 3.5710015 3.892463 4.2111087 4.526325 4.837534 5.1441736 5.4457364 5.741749 6.031801 6.31553 6.592635 6.8628683 7.126038 7.382006 7.630681 7.8720202 8.10602 8.332717 8.552176 8.764497 8.9698 9.168228 9.35994 9.545109 9.723921 9.896567 10.063246 10.224158 10.379507 10.529497 10.674329 10.814201 10.949311 11.07985 11.206005 11.327957 11.445881 11.559945 11.670313 11.777142 11.880582 11.980777 12.0778675 12.171986 12.263261 12.351814 12.437761 12.521212 12.602269 12.681033 12.757596 12.83205 12.904486 12.97499 13.04365 13.110552 13.1757765 13.2394 13.301491 13.362107 13.4213 13.479112 13.535579 13.590741 13.644644 13.697342 13.748907 13.799427 13.849005 13.8977585 13.945808 13.993278 14.0402775 14.0869055 14.133239 14.179335 14.225227 14.270935 14.3164625 14.361807 14.406962 14.451925 14.496695 14.541275 14.585675 14.629909 14.67399 14.717937 14.761767 14.805496 14.849137 14.892703 14.936203 14.979647 15.023041 15.066397 15.109725 15.153041 15.196363 15.239712 15.283105 15.326564 15.370103 15.413738 15.457481 15.501344 15.545339 15.58948 15.633783 15.678265 15.7229395 15.767824 15.812935 15.858283 15.903873 15.949703 15.995761 16.042036 16.088516 16.135191 16.182055 16.229097 16.27631 16.32369 16.37124 16.418962 16.466873 16.51498 16.563303 16.611864 16.660694 16.709824 16.759275 16.80906 16.859173 16.909605 16.960325 17.011297 17.062494 17.113926 17.16562 17.217623 17.269978 17.322752 17.376017 17.429813 17.484138 17.538944 17.594193 17.649881 17.706043 17.7627 17.819847 17.877455 17.935476 17.99389 18.052685 18.111826 18.17126 18.23093 18.290796 18.350826 18.410973 18.471203 18.53154 18.592003 18.652596 18.713364 18.774372 18.835667 18.89729 18.959297 19.021753 19.084785 19.148445 19.212576 19.276888 19.341118 19.405022 19.468359 19.530956 19.592701 19.653452 19.713057 19.771458 19.828747 19.885057 19.940472 19.995058 20.048899 20.102045 20.154484 20.2062 20.257195 20.307472 20.356968 20.405603 20.453394 20.500418 20.546726 20.592323 20.637173 20.681244 20.724533 20.767073 20.808908 20.850021 20.890291 20.929579 20.96781 21.004988 21.041143 21.07631 21.110504 21.143736 21.175987 21.207228 21.237438 21.266623 21.294786 21.321943 21.348104 21.373287 21.397507 21.420784 21.44313 21.464542 21.485043 21.50469 21.523561 21.54171 21.55916 21.575905 21.591934 21.607256 21.621891 21.635859 21.649185 21.661896 21.674011 21.685556 21.696556 21.70702 21.716934 21.72628 21.73505 21.743267 21.75096 21.758163 21.76492 21.771257 21.777195 21.78275 21.787952 21.792858 21.79751 21.801933 21.80614 21.810143 21.813957 21.8176 21.821083 21.824411 21.827583 21.8306 21.83347 21.836193 21.838768 21.841187 21.843443 21.845533 21.847471 21.849272 21.85094 21.85248 21.853884 21.855143 21.85625 21.857206 21.858015 21.858688 21.85924 21.859688 21.860054 21.860367 21.860655 21.860937 21.86123 21.861544 21.861883 21.862247 21.86264 21.863056 21.863493 21.863945 21.864418 21.864918 21.865452 21.86603 21.866653 21.867321 21.868025 21.868748 21.869476 21.870197 21.8709 21.871576 21.872225 21.872843 21.873432 21.873991 21.874525 21.875038 21.875536 21.876028 21.876518 21.877014 21.877518 21.87803 21.87855 21.879066 21.879578 21.88008 21.880564 21.881025 21.881458 21.881845 21.882181 21.882452 21.882662 21.882816 21.882923 21.88299 21.883028 21.883043 21.883049 21.883049 21.883053 21.88306 21.883072 21.883087 21.8831 21.883116 21.883131 21.883146 21.88316 21.883175 (9) Re_theta = 1200 --- Re_dstar = 175011.4942984701 --- Re_d99 =1.0681464217804666e6 -- Re_X = 727840.0 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 0.31619245 0.6337364 0.9526995 1.2731504 1.5951587 1.9187937 2.2441254 2.5712225 2.9001527 3.230982 3.5637732 3.8985853 4.235474 4.5744905 4.915681 5.2590866 5.604744 5.952684 6.3029346 6.6555166 7.0104504 7.3677487 7.7274237 8.089482 8.453933 8.820776 9.190017 9.561653 9.935686 10.312114 10.690935 11.07215 11.455755 11.841751 12.230136 12.620911 13.014074 13.40963 13.807579 14.207925 14.610672 15.015824 15.42339 15.833378 16.245794 16.660652 17.07796 17.497725 17.91996 18.344679 18.771889 19.201612 19.633865 20.068672 20.506052 20.946032 21.388628 21.83386 22.281734 22.732258 23.185434 23.641277 24.099808 24.561066 25.025114 25.492031 25.961897 26.43478 26.910723 27.389711 27.87168 28.356514 28.844065 29.334196 29.826834 30.32203 30.82001 31.321215 31.82632 32.336212 32.85195 33.37471 33.905663 34.44594 34.99653 35.558243 36.131695 36.7173 37.315323 37.925915 38.549187 39.185215 39.83414 40.49613 41.17144 41.860344 42.563164 43.28025 44.011944 44.758575 45.520473 46.297955 47.09132 47.900887 48.726974 49.569912 50.430046 51.30773 52.203335 53.11723 54.049793 55.001415 55.972477 56.963383 57.974533 59.006344 60.059235 61.13365 62.23005 63.348885 64.49065 65.65581 66.84487 68.05834 69.29674 70.56058 71.85041 73.16678 74.510254 75.8814 77.28081 78.70907 80.1668 81.654625 83.17317 84.72308 86.30504 87.919716 89.56782 91.25004 92.96709 94.71964 96.50842 98.33414 100.1976 102.09961 104.04103 106.02273 108.0456 110.110504 112.21833 114.36993 116.566185 118.80805 121.096565 123.432785 125.81784 128.25279 130.73868 133.27649 135.8673 138.51213 141.21207 143.96814 146.78148 149.6533 152.58496 155.5781 158.63438 161.75539 164.94246 168.19647 171.51825 174.90857 178.36844 181.89906 185.5022 189.18031 192.93665 196.77489 200.69872 204.71138 208.81506 213.01021 217.29485 221.66437 226.11119 230.62505 235.19376 239.80412 244.44301 249.09874 253.7617 258.42468 263.0833 267.736 272.3832 277.02637 281.66724 286.30777 290.94962 295.59396 300.24133 304.89157 309.54382 314.19693 318.8501 323.50296 328.15564 332.80823 337.46066 342.11267 346.7641 351.4147 356.0645 360.7136 365.36224 370.01053 374.65848 379.30603 383.9535 388.60123 393.2495 397.8981 402.5464 407.1938 411.83984 416.48438 421.12747 425.76947 430.41058 435.05093 439.69046 444.32922 448.96683 453.60278 458.2369 462.8691 467.4993 472.12732 476.7529 481.37585 485.99615 490.61365 495.22803 499.83917 504.4469 509.051 513.65094 518.24646 522.8374 527.42377 532.00574 536.5834 541.1567 545.7257 550.29034 554.8506 559.4067 563.9587 568.50665 573.0505 577.59015 582.12585 586.6577 591.18555 595.7092 600.2288 604.74426 609.25574 613.7631 618.26666 622.7662 627.2618 631.75354 636.24133 640.7253 645.20526 649.68134 654.1538 658.623 663.08923 667.5528 672.01373 676.4722 680.92847 685.38257 689.8347 694.28503 698.73364 703.18066 707.626 712.0695 716.5112 720.95087 725.3883 729.8235 734.25635 738.6868 743.115 747.54095 751.9646 756.3862 760.80566 765.22314 769.6385 774.0519 778.4632 782.8724 787.2795 791.6845 796.08765 800.4889 804.8885 809.28656 813.6833 818.07874 822.47314 826.8666 831.2592 835.651 840.0422 844.4326 848.8223 853.2114 857.5998 861.98755 866.3745 870.7609 875.1466 879.53174 883.9163 888.3004 892.68396 897.067 901.4496 905.83167 910.21326 914.59436 918.97504 923.3553 927.7351 932.1146 936.4937 940.8726 945.2512 949.6296 954.00775 958.38574 962.7635 967.1411 971.51843 975.89545 980.2723 984.6489 989.02527 993.4014 0.31623802 0.63378 0.9525782 1.2725805 1.5935816 1.9153453 2.237516 2.5596879 2.8813777 3.2020543 3.5211532 3.83808 4.1522446 4.4630513 4.7699394 5.072364 5.3698335 5.6618905 5.948139 6.228228 6.5018673 6.768818 7.0288954 7.2819657 7.527942 7.7667837 7.9984865 8.223086 8.440647 8.651264 8.855053 9.052153 9.242715 9.426907 9.604904 9.776894 9.943062 10.103603 10.25871 10.408577 10.553396 10.693357 10.828649 10.959452 11.085945 11.2083025 11.326693 11.441277 11.552211 11.659647 11.763729 11.864597 11.962388 12.057229 12.149245 12.238556 12.325273 12.409504 12.49135 12.570907 12.648266 12.7235155 12.796744 12.868036 12.937477 13.005148 13.07113 13.135496 13.198313 13.259637 13.319517 13.3779955 13.435108 13.490894 13.545399 13.598677 13.650802 13.701862 13.751964 13.801226 13.8497715 13.897725 13.945204 13.992306 14.039113 14.085684 14.132056 14.178249 14.22427 14.270114 14.315777 14.361252 14.406538 14.451637 14.496556 14.541307 14.585904 14.630361 14.67469 14.718907 14.763022 14.807046 14.850988 14.894861 14.938675 14.982444 15.026182 15.069905 15.1136265 15.157356 15.201101 15.244865 15.288651 15.332461 15.3763 15.420172 15.464088 15.508065 15.552125 15.596289 15.640579 15.685017 15.729621 15.774408 15.819395 15.8645935 15.91001 15.955647 16.001507 16.04759 16.093912 16.14049 16.187344 16.2345 16.281982 16.32981 16.378 16.426558 16.475483 16.524763 16.574383 16.624323 16.674576 16.72514 16.776018 16.82722 16.878761 16.930655 16.982918 17.035564 17.08861 17.142073 17.195976 17.250347 17.305197 17.360514 17.41628 17.472483 17.529087 17.586073 17.643438 17.7012 17.759361 17.817888 17.876736 17.935854 17.995224 18.054857 18.114794 18.175062 18.235668 18.296577 18.357735 18.419088 18.480652 18.542444 18.604454 18.66666 18.729073 18.79172 18.854681 18.918041 18.981804 19.045893 19.110256 19.17485 19.239529 19.30401 19.368042 19.431496 19.494272 19.556215 19.617195 19.67718 19.73619 19.794258 19.851402 19.907616 19.962873 20.017202 20.070711 20.123518 20.17569 20.227245 20.27819 20.328535 20.37828 20.427408 20.475912 20.523764 20.57091 20.61734 20.663107 20.708265 20.752844 20.796846 20.84026 20.883057 20.925234 20.966772 21.007614 21.047697 21.086967 21.12539 21.162943 21.199621 21.23544 21.270445 21.304695 21.338219 21.371014 21.403042 21.434269 21.46466 21.494205 21.522915 21.550812 21.577917 21.60425 21.629816 21.654596 21.678541 21.70161 21.7238 21.745123 21.765589 21.785204 21.80397 21.821901 21.83903 21.855394 21.871044 21.886023 21.900356 21.914066 21.92717 21.939695 21.951668 21.963112 21.974049 21.9845 21.994484 22.004004 22.013062 22.021664 22.029821 22.037548 22.044855 22.051765 22.058304 22.064495 22.070356 22.075901 22.081144 22.086103 22.090796 22.095243 22.09946 22.103455 22.107227 22.110785 22.114136 22.117296 22.120281 22.123112 22.12581 22.128397 22.130878 22.133259 22.135534 22.137705 22.139763 22.141697 22.14351 22.145205 22.14679 22.148272 22.149652 22.150936 22.152128 22.15323 22.154251 22.155188 22.15604 22.156801 22.15747 22.158047 22.158533 22.158943 22.159288 22.159578 22.159828 22.160046 22.160238 22.160414 22.160585 22.160759 22.160944 22.161152 22.161388 22.161665 22.161987 22.16236 22.162783 22.163263 22.163794 22.164368 22.164976 22.165607 22.166252 22.166897 22.167534 22.168154 22.168753 22.169325 22.169874 22.170403 22.170912 22.171408 22.171894 22.172373 22.17285 22.17333 22.173817 22.17431 22.17481 22.175312 22.175806 22.17628 22.17672 22.177118 22.177471 22.177773 22.178026 22.178232 22.178394 22.178514 (10) Re_theta = 1300 --- Re_dstar = 189231.45324942682 --- Re_d99 =1.145042100259291e6 -- Re_X = 777280.0 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 0.31228605 0.6259029 0.94091487 1.2573869 1.5753847 1.8949744 2.2162223 2.5391936 2.863953 3.190564 3.5190854 3.8495758 4.1820884 4.5166726 4.8533735 5.192233 5.5332856 5.8765645 6.2220964 6.5699034 6.920006 7.2724185 7.6271544 7.9842224 8.34363 8.705381 9.06948 9.435928 9.804726 10.175873 10.549369 10.925214 11.303408 11.6839485 12.066837 12.452074 12.83966 13.229597 13.621885 14.016532 14.413539 14.812911 15.214657 15.618784 16.0253 16.434216 16.845541 17.259283 17.675455 18.094069 18.515131 18.938665 19.364687 19.793215 20.224276 20.657888 21.094074 21.532846 21.974216 22.418186 22.86476 23.313951 23.76578 24.220285 24.67753 25.13759 25.600544 26.066458 26.535374 27.007278 27.482107 27.959747 28.440052 28.922886 29.408182 29.895983 30.386517 30.880219 31.37775 31.87999 32.387978 32.902866 33.425816 33.957947 34.50022 35.053444 35.61822 36.194958 36.783916 37.385254 37.999065 38.625443 39.26452 39.91646 40.581512 41.259953 41.9521 42.65829 43.378857 44.114132 44.864426 45.63006 46.411324 47.208527 48.02199 48.85204 49.69901 50.563255 51.445137 52.34503 53.263313 54.200367 55.156578 56.13235 57.128082 58.144196 59.181103 60.23925 61.319065 62.421 63.545525 64.6931 65.8642 67.05932 68.27898 69.523674 70.79397 72.09039 73.41351 74.76387 76.14204 77.548584 78.98409 80.44917 81.94441 83.470436 85.02791 86.61749 88.23989 89.89582 91.58599 93.31111 95.071884 96.869026 98.70332 100.575554 102.48657 104.43722 106.428345 108.46083 110.53556 112.65343 114.815315 117.02214 119.27486 121.574425 123.92187 126.31822 128.76453 131.26181 133.81116 136.41359 139.07018 141.78198 144.55032 147.37654 150.2621 153.20853 156.21721 159.28946 162.42648 165.62927 168.89874 172.23573 175.6412 179.11633 182.6628 186.28297 189.98001 193.75764 197.61975 201.56958 205.60912 209.73877 213.95683 218.25897 222.63766 227.0825 231.58156 236.12207 240.69102 245.27663 249.86946 254.46278 259.0524 263.63635 268.21484 272.78937 277.36203 281.9346 286.50854 291.08484 295.66345 300.24362 304.82443 309.40543 313.98654 318.56772 323.1486 327.72888 332.30847 336.8875 341.4664 346.0453 350.6244 355.20383 359.78375 364.36395 368.94412 373.524 378.1034 382.68237 387.26132 391.84058 396.42 400.99948 405.5787 410.1576 414.7362 419.3145 423.89258 428.47043 433.04794 437.62485 442.20087 446.77576 451.34955 455.9223 460.4939 465.06406 469.63245 474.19897 478.7636 483.32632 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14.568015 14.611641 14.65517 14.698614 14.741983 14.785291 14.828547 14.87176 14.914943 14.958103 15.001248 15.044385 15.087521 15.130661 15.173814 15.216987 15.260191 15.303438 15.34674 15.390108 15.4335575 15.477104 15.520767 15.5645685 15.608526 15.652657 15.696975 15.741493 15.786231 15.831206 15.876431 15.921918 15.96767 16.013706 16.060047 16.10672 16.153751 16.201157 16.248947 16.29713 16.345716 16.394712 16.44412 16.493927 16.54411 16.594643 16.64551 16.696688 16.748154 16.79988 16.851856 16.9041 16.956652 17.009558 17.062866 17.116615 17.170835 17.225548 17.280746 17.336412 17.39252 17.44902 17.505838 17.562904 17.620176 17.67765 17.735348 17.793327 17.851656 17.910395 17.96956 18.02912 18.089025 18.149275 18.209883 18.270807 18.331966 18.393326 18.45496 18.516966 18.579397 18.642267 18.705563 18.769281 18.833477 18.898228 18.963562 19.029444 19.095764 19.16232 19.228867 19.29516 19.360956 19.426073 19.490425 19.553967 19.616629 19.678345 19.739143 19.799143 19.858398 19.916842 19.974379 20.031002 20.086739 20.141617 20.19565 20.248852 20.301264 20.352915 20.403809 20.45395 20.503382 20.55213 20.600183 20.647505 20.694098 20.740004 20.785248 20.829834 20.873783 20.917126 20.959885 21.002058 21.043629 21.084572 21.124853 21.164446 21.203342 21.24155 21.27909 21.315983 21.352245 21.387905 21.422981 21.457481 21.491411 21.524773 21.557543 21.589676 21.62113 21.651867 21.681866 21.7111 21.739542 21.767187 21.794054 21.820166 21.845549 21.870222 21.894197 21.917484 21.940088 21.962004 21.983217 22.003716 22.023504 22.042587 22.060982 22.078714 22.095814 22.112282 22.128107 22.143284 22.157822 22.171732 22.18504 22.197763 22.209925 22.221552 22.23268 22.243338 22.25354 22.263279 22.272545 22.281332 22.289656 22.29755 22.305052 22.3122 22.319025 22.325554 22.331804 22.337791 22.343521 22.348988 22.354187 22.359123 22.363806 22.36824 22.372435 22.376396 22.380133 22.38366 22.386988 22.390133 22.393108 22.39593 22.398607 22.401154 22.40358 22.405886 22.408077 22.410158 22.412134 22.414011 22.415787 22.417461 22.419033 22.420498 22.421856 22.423113 22.424269 22.425325 22.42629 22.42717 22.427973 22.428709 22.42939 22.430025 22.43062 22.431177 22.431698 22.432188 22.432646 22.433077 22.433483 22.433863 22.434221 22.434565 22.434893 22.435213 22.435524 22.435833 22.43614 22.436453 22.436771 22.437103 22.437454 22.437824 22.438217 22.438635 22.439075 22.439537 22.44002 22.440521 22.44104 22.441568 22.442106 22.442648 22.443186 22.443718 22.44424 22.444756 22.445263 22.44576 22.446255 22.446745 22.447227 22.447704 (11) Re_theta = 1400 --- Re_dstar = 203555.68709749446 --- Re_d99 =1.221672420051858e6 -- Re_X = 827680.0 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 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6.15697 6.500929 6.8471346 7.195602 7.5463443 7.8993716 8.254692 8.61231 8.972231 9.334457 9.698991 10.065831 10.434979 10.806437 11.1802025 11.556277 11.934663 12.315358 12.698366 13.083689 13.471328 13.861289 14.253575 14.648192 15.045148 15.44445 15.846107 16.250128 16.656525 17.065304 17.476477 17.890059 18.306055 18.72449 19.145372 19.568731 19.994587 20.422962 20.853874 21.287342 21.723372 22.161968 22.603138 23.046892 23.493254 23.942259 24.39397 24.848465 25.30582 25.7661 26.229347 26.69555 27.164642 27.636513 28.111017 28.588022 29.06746 29.549374 30.033987 30.52173 31.013262 31.509441 32.011303 32.519985 33.03663 33.562344 34.09808 34.644634 35.2026 35.772377 36.35423 36.9483 37.55469 38.17349 38.804817 39.448845 40.10581 40.775978 41.459663 42.157204 42.86892 43.595135 44.336166 45.09231 45.863873 46.651154 47.454468 48.274136 49.11049 49.96389 50.83469 51.72327 52.63 53.55527 54.49946 55.462967 56.446186 57.449528 58.473396 59.51823 60.584454 61.672512 62.782856 63.915943 65.07225 66.25226 67.45647 68.68537 69.9395 71.21939 72.52559 73.85865 75.219154 76.607666 78.024765 79.47105 80.94712 82.45359 83.99113 85.560356 87.16197 88.796616 90.465004 92.167816 93.90576 95.679565 97.48998 99.33776 101.2237 103.14861 105.11335 107.118774 109.16577 111.25523 113.388054 115.56518 117.78759 120.05626 122.372185 124.73634 127.14972 129.61331 132.12816 134.69531 137.31589 139.99095 142.72174 145.50948 148.35556 151.26144 154.22867 157.2586 160.35265 163.51192 166.73726 170.02937 173.38918 176.81781 180.31691 183.8888 187.53668 191.26439 195.07576 198.97379 202.96028 207.03568 211.19823 215.4435 219.76389 224.14893 228.58647 233.06393 237.56898 242.0906 246.61955 251.14896 255.67471 260.1952 264.71054 269.22223 273.73233 278.2429 282.75552 287.27087 291.78857 296.30798 300.82843 305.34937 309.8704 314.39124 318.91183 323.43256 327.95377 332.4757 336.99838 341.5215 346.0446 350.56717 355.0892 359.6109 364.1326 368.65463 373.17734 377.70087 382.22516 386.74997 391.27505 395.80035 400.3258 404.85138 409.37683 413.9019 418.42624 422.94968 427.4724 431.99506 436.51807 441.0414 445.56476 450.08765 454.60965 459.1306 463.65027 468.1683 472.68478 477.20007 481.71448 486.228 490.7402 495.2506 499.75894 504.2652 508.76938 513.2717 517.7723 522.27106 526.768 531.2629 535.7553 540.24506 544.73193 549.2158 553.69653 558.17365 562.64685 567.1164 571.58234 576.0449 580.5042 584.9603 589.41327 593.863 598.30927 602.7524 607.1921 611.62823 616.0607 620.4895 624.91455 629.33575 633.7533 638.1672 642.5778 646.98517 651.38934 655.7904 660.1884 664.58356 668.97577 673.3651 677.75165 682.1351 686.5154 690.8926 695.2664 699.63727 704.00507 708.3699 712.73193 717.09106 721.4474 725.801 730.1522 734.50085 738.8472 743.1913 747.53326 751.8731 756.21094 760.5468 764.8806 769.2124 773.5421 777.8697 782.1952 786.51886 790.84064 795.16064 799.4789 803.79535 808.11005 812.4229 816.7338 821.0429 825.35 829.655 833.9582 838.25946 842.559 846.85693 851.1536 855.4489 859.74304 864.0361 868.3282 872.61945 876.9099 881.19977 885.4889 889.7773 894.065 898.3522 902.6385 906.9241 911.209 915.49316 919.7767 924.0596 928.34186 932.6237 936.9052 941.1863 945.4672 949.7479 954.0285 958.3089 962.5893 966.86957 971.1497 0.30916777 0.61960346 0.9312605 1.2440896 1.5578986 1.8724684 2.1874683 2.502522 2.8171804 3.1309493 3.4433012 3.7536798 4.0615306 4.366291 4.6674285 4.9644227 5.256802 5.5441236 5.8260007 6.102086 6.372091 6.63577 6.892932 7.143431 7.387167 7.62408 7.85415 8.077391 8.293847 8.5035925 8.70672 8.903349 9.09361 9.277649 9.455624 9.627701 9.794052 9.954855 10.110287 10.26053 10.405765 10.546171 10.681926 10.813206 10.940182 11.063021 11.181888 11.29694 11.408333 11.516214 11.620729 11.722016 11.820212 11.915445 12.007843 12.097523 12.184601 12.269185 12.3513775 12.431277 12.508977 12.584566 12.658134 12.729769 12.799553 12.867572 12.933904 12.998622 13.06179 13.1234665 13.183695 13.242516 13.299963 13.356075 13.410893 13.464474 13.516888 13.568225 13.61859 13.668102 13.716886 13.765063 13.812752 13.860047 13.907031 13.953758 14.000264 14.046565 14.092665 14.138557 14.184233 14.229682 14.274902 14.319893 14.36466 14.409214 14.453568 14.497739 14.5417385 14.585582 14.629284 14.672857 14.716316 14.759675 14.802945 14.846142 14.889278 14.932367 14.975422 15.018457 15.061485 15.104518 15.147569 15.190646 15.233761 15.276924 15.320143 15.363425 15.406779 15.4502125 15.493738 15.537372 15.581133 15.62504 15.669115 15.71338 15.757861 15.80259 15.847596 15.8929 15.938512 15.984428 16.030642 16.077145 16.123932 16.171003 16.21836 16.266012 16.313955 16.362196 16.410732 16.459562 16.508684 16.558094 16.6078 16.657816 16.708162 16.758871 16.809967 16.861471 16.913391 16.965714 17.018402 17.07142 17.12476 17.178423 17.232418 17.286741 17.341366 17.396278 17.451485 17.507015 17.562927 17.619272 17.676077 17.733341 17.79104 17.849123 17.907568 17.966413 18.025757 18.085722 18.146423 18.207914 18.270182 18.333181 18.39688 18.461195 18.526028 18.59132 18.65705 18.723154 18.789532 18.856133 18.922997 18.990108 19.057318 19.124477 19.191526 19.258316 19.324594 19.39017 19.454948 19.518854 19.581821 19.64385 19.705011 19.765385 19.825024 19.883932 19.942118 19.999594 20.056358 20.112375 20.167597 20.222002 20.275604 20.328403 20.380371 20.431494 20.481804 20.531359 20.580233 20.628515 20.676247 20.723433 20.770119 20.816393 20.862314 20.907864 20.952955 20.99746 21.041239 21.084213 21.126389 21.167837 21.208637 21.248846 21.288483 21.327532 21.365938 21.403648 21.44064 21.47693 21.512566 21.547607 21.582071 21.615929 21.64916 21.68177 21.713747 21.745098 21.775864 21.80608 21.835749 21.864845 21.89331 21.921078 21.948101 21.974379 21.999952 22.024885 22.049246 22.073078 22.096384 22.119123 22.141232 22.16265 22.183352 22.203346 22.222643 22.241264 22.259237 22.276588 22.293358 22.309572 22.32525 22.340403 22.355042 22.369177 22.382816 22.395958 22.408606 22.420757 22.432428 22.443632 22.454393 22.464733 22.474678 22.484247 22.493458 22.502321 22.510845 22.519037 22.526901 22.534435 22.541641 22.548517 22.555067 22.561304 22.567245 22.572912 22.578318 22.583471 22.588375 22.593027 22.597427 22.601582 22.605507 22.609219 22.612738 22.616077 22.619251 22.622269 22.62514 22.627857 22.630419 22.632822 22.63507 22.637173 22.639133 22.640965 22.64267 22.644257 22.645731 22.647095 22.648357 22.649519 22.650587 22.651564 22.652456 22.653275 22.654024 22.654716 22.655363 22.655975 22.656563 22.65713 22.657677 22.658207 22.658718 22.659216 22.6597 22.66017 22.66063 22.661077 22.661514 22.661942 22.662361 22.662773 22.663177 22.663576 22.663967 22.664352 22.664736 22.66512 22.665508 22.665905 22.666311 22.666733 22.667171 22.667627 22.668102 22.668594 22.6691 22.669619 22.670145 (12) Re_theta = 1500 --- Re_dstar = 217896.984579886 --- Re_d99 =1.29806492653414e6 -- Re_X = 879200.0 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 0.3056422 0.6125841 0.9208845 1.230603 1.5417995 1.8545346 2.1688693 2.484863 2.8025758 3.1220653 3.4433873 3.7665946 4.091738 4.418864 4.748015 5.0792303 5.4125443 5.7479877 6.085589 6.425369 6.767349 7.111544 7.4579687 7.806633 8.157546 8.510714 8.866141 9.223834 9.583791 9.946016 10.310511 10.677276 11.046313 11.4176235 11.791207 12.167068 12.545206 12.925626 13.30833 13.693324 14.080611 14.470198 14.862093 15.256304 15.652839 16.051708 16.452923 16.856493 17.262424 17.670734 18.08143 18.494534 18.910055 19.328024 19.748457 20.171377 20.596806 21.024757 21.455238 21.888258 22.323818 22.761932 23.20262 23.64592 24.091894 24.540617 24.992167 25.446608 25.903978 26.36427 26.827415 27.293304 27.761799 28.232763 28.70613 29.181942 29.660421 30.14199 30.627296 31.117191 31.612692 32.11492 32.625008 33.144043 33.672966 34.21256 34.76341 35.32591 35.90032 36.486782 37.085396 37.69624 38.319443 38.95517 39.60365 40.265156 40.939987 41.62848 42.33095 43.04772 43.7791 44.525383 45.28686 46.063835 46.856617 47.665516 48.490856 49.332993 50.19226 51.069035 51.963673 52.87655 53.808037 54.75854 55.728447 56.718163 57.728104 58.758698 59.81037 60.883575 61.978764 63.096386 64.236916 65.40082 66.588585 67.80069 69.03764 70.299965 71.58818 72.902824 74.244446 75.6136 77.01087 78.43685 79.892136 81.37734 82.89311 84.440094 86.01897 87.63039 89.275055 90.95366 92.666885 94.41545 96.2001 98.02158 99.88068 101.77816 103.714836 105.69155 107.70918 109.76861 111.870735 114.01646 116.2067 118.44241 120.72457 123.0542 125.43227 127.85973 130.33757 132.8667 135.4482 138.08322 140.77309 143.51913 146.32271 149.18515 152.1078 155.09204 158.13928 161.25076 164.42749 167.67018 170.97957 174.35667 177.80328 181.32191 184.91563 188.5879 192.34232 196.18227 200.11006 204.12617 208.22852 212.41234 216.67035 220.99307 225.36887 229.78468 234.2275 238.68597 243.15105 247.61606 252.07698 256.53247 260.9831 265.43018 269.87524 274.32007 278.7664 283.2153 287.66705 292.12115 296.57666 301.03275 305.48883 309.9446 314.40045 318.85696 323.31445 327.7729 332.23218 336.69217 341.15265 345.61343 350.07455 354.5356 358.99622 363.4564 367.9166 372.3774 376.83923 381.30212 385.76593 390.23047 394.69553 399.16122 403.62805 408.09625 412.56558 417.03555 421.50568 425.97552 430.44485 434.91342 439.38116 443.84784 448.31314 452.777 457.23956 461.70108 466.16183 470.6221 475.08203 479.54156 484.00067 488.4593 492.9172 497.3741 501.82983 506.2843 510.73743 515.1887 519.6378 524.0844 528.5284 532.96985 537.4092 541.84656 546.28204 550.7154 555.14636 559.575 564.0011 568.42456 572.8455 577.264 581.67993 586.09357 590.5045 594.9128 599.3182 603.7204 608.1195 612.5152 616.90753 621.29645 625.6818 630.06354 634.44165 638.81616 643.1874 647.55554 651.92084 656.2832 660.6427 664.9992 669.35284 673.70374 678.0518 682.3971 686.7393 691.0783 695.414 699.7465 704.07635 708.4035 712.7279 717.04974 721.3689 725.68536 729.9992 734.3105 738.6193 742.92596 747.2306 751.53326 755.83405 760.1328 764.4296 768.7242 773.01654 777.3065 781.59393 785.879 790.16174 794.4424 798.7209 802.99744 807.27203 811.5446 815.8152 820.0837 824.3501 828.6144 832.8767 837.1371 841.39575 845.6526 849.9079 854.1617 858.414 862.665 866.9145 871.16266 875.4095 879.655 883.89935 888.14264 892.3847 896.62585 900.86615 905.1057 909.34467 913.583 917.8208 922.058 926.2947 930.53076 934.7665 939.0017 943.2365 947.47095 951.7052 955.9391 960.17267 0.30568978 0.6126362 0.92079556 1.2301217 1.5404338 1.8515239 2.163079 2.4747412 2.7860818 3.0966284 3.405875 3.7132852 4.018323 4.3204427 4.6191235 4.9138565 5.2041764 5.489643 5.7698708 6.044511 6.313269 6.575896 6.832191 7.082 7.325213 7.561762 7.7916155 8.014778 8.231284 8.441197 8.644602 8.841607 9.032335 9.216926 9.395528 9.568301 9.735412 9.89703 10.053331 10.204491 10.350684 10.492088 10.628877 10.761221 10.889289 11.013245 11.133248 11.2494545 11.362015 11.471072 11.576769 11.67924 11.778618 11.875028 11.968593 12.059428 12.147647 12.233353 12.316647 12.397624 12.476377 12.552993 12.627561 12.700165 12.770891 12.839823 12.907038 12.9726095 13.036603 13.099075 13.160072 13.219634 13.277797 13.334596 13.390074 13.444288 13.497308 13.549223 13.60014 13.650175 13.699456 13.748106 13.796241 13.84396 13.891342 13.938445 13.985304 14.031938 14.078348 14.124533 14.170482 14.216188 14.26165 14.306867 14.351842 14.396584 14.441099 14.485398 14.529488 14.573373 14.617057 14.660545 14.703842 14.746954 14.789891 14.832665 14.875287 14.917773 14.960137 15.002398 15.044572 15.086683 15.128756 15.170814 15.21288 15.254977 15.297124 15.339337 15.381638 15.42404 15.46656 15.509211 15.552 15.594935 15.638023 15.681271 15.724686 15.768278 15.81206 15.856047 15.900252 15.9446945 15.9893875 16.034348 16.07959 16.125126 16.170965 16.217104 16.263542 16.31028 16.357327 16.404694 16.452385 16.500414 16.5488 16.597548 16.646658 16.696117 16.745924 16.796085 16.846615 16.897533 16.948849 17.000547 17.052618 17.105068 17.15791 17.211151 17.264805 17.318892 17.373444 17.428493 17.484072 17.540194 17.596851 17.65402 17.711672 17.769789 17.828358 17.887367 17.94683 18.006798 18.067303 18.12832 18.18982 18.251833 18.314463 18.377783 18.441805 18.506533 18.571987 18.638214 18.705227 18.772934 18.841173 18.909805 18.978708 19.047707 19.116564 19.185022 19.25282 19.319736 19.385649 19.450506 19.514345 19.577293 19.639477 19.700924 19.761618 19.821527 19.880613 19.938828 19.99615 20.052597 20.108261 20.163252 20.21766 20.271606 20.325197 20.378448 20.431297 20.483704 20.535658 20.587116 20.637985 20.688156 20.737568 20.786224 20.834156 20.88139 20.927944 20.97386 21.019226 21.06414 21.108664 21.15279 21.196468 21.23963 21.282206 21.324121 21.365322 21.405807 21.445612 21.484747 21.523195 21.560934 21.597963 21.634314 21.67004 21.705196 21.739817 21.773901 21.80744 21.840424 21.872835 21.904661 21.935892 21.96654 21.996609 22.02612 22.055084 22.083506 22.111353 22.13858 22.165154 22.19106 22.216307 22.240913 22.264921 22.288376 22.311306 22.333715 22.355587 22.37689 22.397596 22.417692 22.437185 22.4561 22.474451 22.492235 22.509459 22.526148 22.542328 22.558016 22.573214 22.587936 22.602201 22.616016 22.629389 22.642315 22.654804 22.666876 22.678553 22.689863 22.700819 22.71142 22.721653 22.731506 22.740978 22.75007 22.758791 22.76715 22.77516 22.782827 22.790173 22.797213 22.803968 22.81046 22.816694 22.822676 22.8284 22.833866 22.839077 22.844044 22.848774 22.853275 22.857553 22.861612 22.86546 22.869095 22.872524 22.875757 22.878803 22.881668 22.884361 22.88689 22.889263 22.89149 22.893578 22.895525 22.897339 22.89902 22.900574 22.90201 22.903336 22.904562 22.9057 22.906757 22.907742 22.908659 22.90952 22.910326 22.911087 22.911802 22.912472 22.913103 22.913696 22.914263 22.914803 22.915325 22.915829 22.916319 22.916794 22.91726 22.917717 22.918167 22.918613 22.919062 22.91951 22.919964 22.92042 22.92088 22.921343 22.921808 22.92228 22.922752 22.92323 (13) Re_theta = 1600 --- Re_dstar = 232247.80161176083 --- Re_d99 =1.365791754537597e6 -- Re_X = 932480.0 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 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