3.5 Heat Transfer Correlations from Dimensional Analysis |POLVER05_ |4 16 20 Re Pr Mu Nu lnRe=ln(Re) lnPr=ln(Pr) lnMu=ln(Mu) lnNu=ln(Nu) calclin1=exp(-0.412045 + 0.539538 * lnRe + 0.245353 * lnPr) calclin2=exp(-0.626 + 0.5588 * lnRe + 0.2524 * lnPr - 0.06772 * lnMu) calcnon1=0.165641 * Re ^ 0.663548 * Pr ^ 0.341377 calcnon2=0.149154 * Re ^ 0.673289 * Pr ^ 0.328567 * Mu ^ -0.177693 s2lin1=(Nu - calclin1) ^ 2 s2rlin1=((Nu - calclin1) / Nu) ^ 2 s2lin2=(Nu - calclin2) ^ 2 s2rlin2=((Nu - calclin2) / Nu) ^ 2 s2non1=(Nu - calcnon1) ^ 2 s2rnon1=((Nu - calcnon1) / Nu) ^ 2 s2non2=(Nu - calcnon2) ^ 2 s2rnon2=((Nu - calcnon2) / Nu) ^ 2 49000 2.3 0.947 277 10.79958 0.8329091 -0.0544562 5.624018 275.6393 276.64 284.9861 284.8043 1.85148 2.413E-05 0.1296307 1.689E-06 63.77735 0.0008312 60.90776 0.0007938 68600 2.28 0.954 348 11.13605 0.8241754 -0.0470916 5.852202 329.8011 332.964 355.2154 355.7283 331.1983 0.0027348 226.0806 0.0018668 52.06172 0.0004299 59.72668 0.0004932 84800 2.27 0.959 421 11.34805 0.8197798 -0.0418642 6.042633 369.3686 374.2928 408.2574 409.3348 2665.801 0.0150405 2181.566 0.0123085 162.3732 0.0009161 136.0768 0.0007677 34200 2.32 0.943 223 10.43998 0.8415672 -0.058689 5.407172 227.5119 226.8405 225.1547 224.3681 20.35707 0.0004094 14.74977 0.0002966 4.642672 9.336E-05 1.871813 3.764E-05 22900 2.36 0.936 177 10.03889 0.8586616 -0.0661398 5.17615 184.0107 182.1696 173.5528 172.4626 49.1502 0.0015688 26.72479 0.000853 11.88342 0.0003793 20.58834 0.0006572 1321 246 0.592 114.8 7.186144 5.505332 -0.5242486 4.743191 123.4582 123.3055 127.7165 126.1664 74.96421 0.0056881 72.34399 0.0054893 166.8353 0.0126591 129.1947 0.009803 931 247 0.583 95.9 6.836259 5.509388 -0.5395681 4.563306 102.3217 101.617 101.3958 100.0913 41.23802 0.0044839 32.6841 0.0035539 30.20435 0.0032842 17.5671 0.0019101 518 251 0.579 68.3 6.249975 5.525453 -0.5464528 4.22391 74.86905 73.56109 69.09543 67.8871 43.15243 0.0092505 27.67911 0.0059335 0.6327138 0.0001356 0.1704901 3.655E-05 346 273 0.29 49.1 5.846439 5.609472 -1.237874 3.893859 61.47506 62.84363 54.40222 60.13643 153.1422 0.0635231 188.8873 0.0783501 28.11352 0.0116614 121.8029 0.0505236 122.9 1518 0.294 56 4.811371 7.325149 -1.224176 4.025352 53.57699 54.29124 49.16984 52.50965 5.870956 0.0018721 2.919861 0.0009311 46.65103 0.014876 12.18258 0.0038848 54 1590 0.279 39.9 3.988984 7.371489 -1.276543 3.686376 34.77089 34.81526 28.94527 30.93302 26.30779 0.0165249 25.85461 0.0162402 120.0061 0.0753802 80.4068 0.0505065 84.6 1521 0.267 47 4.437934 7.327123 -1.320507 3.850148 43.82134 44.37642 38.40399 41.56806 10.10389 0.004574 6.883161 0.003116 73.89143 0.0334502 29.50598 0.0133572 1249 107.4 0.724 94.2 7.130099 4.67656 -0.3229639 4.54542 97.7411 95.63453 92.73076 89.28136 12.5394 0.0014131 2.057878 0.0002319 2.158675 0.0002433 24.19303 0.0027264 1021 186 0.612 99.9 6.928538 5.225747 -0.491023 4.60417 100.3152 99.27537 97.8499 96.19637 0.1723771 1.727E-05 0.3901668 3.909E-05 4.202918 0.0004211 13.71689 0.0013744 465 414 0.512 83.1 6.142037 6.025866 -0.6694307 4.420045 79.86054 79.23617 76.30178 76.05404 10.4941 0.0015196 14.92916 0.0021619 46.21586 0.0066925 49.64557 0.0071892 54.8 1302 0.273 35.9 4.00369 7.171657 -1.298283 3.580737 33.37094 33.42513 27.30164 29.36872 6.396135 0.0049628 6.12498 0.0047524 73.93177 0.0573644 42.65758 0.0330984 * Nu=d2*Re^e2*Pr^f2*Mu^g2 d2=0.53 e2=0.56 f2=0.25 g2=-0.067