6
Tubo 1 2 3 4 5 6 7 Comprimento 1000 2000 2000 1500 1000 1500 2000 Diâmetro 30 24 24 16 16 12 6 CW 140 100 100 100 100 100 100 K 0.005841931 0.064547 0.064547 0.348739 0.232493 1.415639 55.19595 Q(0) 21 10 11 6.5 5.5 4 0.5 hL 1.631781961 4.569567 5.450691 11.12732 5.446036 18.39769 15.31094 n.hL/Q 0.14375222 0.84537 0.916707 3.167006 1.831848 8.508933 56.65046 Q(1) 21.16544417 10.24769 10.91775 6.884801 5.802553 3.534888 0.115199 Erro 0 -0.46511 hL 1.655644528 4.781159 5.375534 12.37656 6.01319 14.63684 1.012954 n.hL/Q 0.144714297 0.863135 0.910878 3.325678 1.917156 7.660259 16.26715 Q(2) 21.1716532 9.749885 11.42177 6.393306 5.815075 3.577557 0.606694 hL 1.656543176 4.360377 5.843617 10.79178 6.037217 14.96538 21.89784 n.hL/Q 0.144750381 0.827363 0.946499 3.122764 1.920672 7.738784 66.77336 Q(2) 21.20033197 9.95422 11.24611 6.789422 6.035534 3.370686 0.210578 hL 1.660696829 4.530941 5.678446 12.06122 6.467456 13.40391 3.091877 n.hL/Q 0.144917029 0.842079 0.934112 3.286475 1.982392 7.356728 27.16317 Q(2) 21.21734715 9.728515 11.48883 6.474982 5.963814 3.453492 0.525018 hL 1.663163459 4.342714 5.907251 11.04822 6.325998 14.01943 16.75825 n.hL/Q 0.145015886 0.825822 0.951221 3.156642 1.962351 7.510066 59.05092 Q(2) 21.23167848 9.856539 11.37514 6.715157 6.090296 3.335213 0.284843 hL 1.665242325 4.44903 5.799559 11.81829 6.576436 13.14411 5.406631 n.hL/Q 0.145099141 0.83505 0.943213 3.255894 1.997671 7.290867 35.11505 Q(2) 21.24046991 9.739273 11.5012 6.533399 6.034596 3.396139 0.466601 hL 1.66651818 4.351602 5.919019 11.23332 6.465597 13.59175 13.47278 n.hL/Q 0.145150208 0.826598 0.952091 3.180832 1.98213 7.403921 53.41743 Q(2) 21.24768737 9.811702 11.43599 6.667593 6.103578 3.330847 0.332407 hL 1.667565946 4.411661 5.85708 11.66389 6.602993 13.11229 7.194434 n.hL/Q 0.145192131 0.83182 0.9475 3.236281 2.001373 7.282753 40.0404 Q(2) 21.25185804 9.748755 11.5031 6.566394 6.069497 3.367453 0.433606 hL 1.668171546 4.359443 5.920833 11.3385 6.534945 13.38013 11.76341 n.hL/Q 0.145216355 0.827282 0.952225 3.194482 1.99187 7.35073 50.18916 Q(2) 21.25536763 9.788273 11.46709 6.639674 6.106769 3.331867 0.360326

Hardy Cross Implementacao

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Implementação computacional do método de hidráulico de Hardy-Cross para um caso simples do livro Fluid-Dynamics

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Page 1: Hardy Cross Implementacao

Tubo 1 2 3 4 5 6 7 8Comprimento 1000 2000 2000 1500 1000 1500 2000 2000Diâmetro 30 24 24 16 16 12 6 8CW 140 100 100 100 100 100 100 100K 0.0058419311 0.064547 0.064547 0.348739 0.232493 1.415639 55.19595 13.59739Q(0) 21 10 11 6.5 5.5 4 0.5 0.5hL 1.6317819609 4.569567 5.450691 11.12732 5.446036 18.39769 15.31094 3.771812n.hL/Q 0.1437522204 0.84537 0.916707 3.167006 1.831848 8.508933 56.65046 13.95571Q(1) 21.165444165 10.24769 10.91775 6.884801 5.802553 3.534888 0.115199 0.802553Erro 0 -0.465112

hL 1.6556445276 4.781159 5.375534 12.37656 6.01319 14.63684 1.012954 9.051748n.hL/Q 0.1447142971 0.863135 0.910878 3.325678 1.917156 7.660259 16.26715 20.86557Q(2) 21.171653201 9.749885 11.42177 6.393306 5.815075 3.577557 0.606694 0.815075

hL 1.6565431758 4.360377 5.843617 10.79178 6.037217 14.96538 21.89784 9.314738n.hL/Q 0.1447503814 0.827363 0.946499 3.122764 1.920672 7.738784 66.77336 21.14195Q(2) 21.200331974 9.95422 11.24611 6.789422 6.035534 3.370686 0.210578 1.035534

hL 1.660696829 4.530941 5.678446 12.06122 6.467456 13.40391 3.091877 14.50473n.hL/Q 0.1449170295 0.842079 0.934112 3.286475 1.982392 7.356728 27.16317 25.91296Q(2) 21.21734715 9.728515 11.48883 6.474982 5.963814 3.453492 0.525018 0.963814

hL 1.6631634588 4.342714 5.907251 11.04822 6.325998 14.01943 16.75825 12.70115n.hL/Q 0.1450158861 0.825822 0.951221 3.156642 1.962351 7.510066 59.05092 24.37932Q(2) 21.231678475 9.856539 11.37514 6.715157 6.090296 3.335213 0.284843 1.090296

hL 1.6652423251 4.44903 5.799559 11.81829 6.576436 13.14411 5.406631 15.9556n.hL/Q 0.1450991407 0.83505 0.943213 3.255894 1.997671 7.290867 35.11505 27.07324Q(2) 21.240469914 9.739273 11.5012 6.533399 6.034596 3.396139 0.466601 1.034596

hL 1.6665181798 4.351602 5.919019 11.23332 6.465597 13.59175 13.47278 14.48043n.hL/Q 0.1451502083 0.826598 0.952091 3.180832 1.98213 7.403921 53.41743 25.893Q(2) 21.247687371 9.811702 11.43599 6.667593 6.103578 3.330847 0.332407 1.103578

hL 1.6675659465 4.411661 5.85708 11.66389 6.602993 13.11229 7.194434 16.31704n.hL/Q 0.1451921307 0.83182 0.9475 3.236281 2.001373 7.282753 40.0404 27.35332Q(2) 21.251858045 9.748755 11.5031 6.566394 6.069497 3.367453 0.433606 1.069497

hL 1.668171546 4.359443 5.920833 11.3385 6.534945 13.38013 11.76341 15.39705n.hL/Q 0.1452163549 0.827282 0.952225 3.194482 1.99187 7.35073 50.18916 26.6336Q(2) 21.255367627 9.788273 11.46709 6.639674 6.106769 3.331867 0.360326 1.106769

hL 1.6686812305 4.392192 5.886591 11.5737 6.60938 13.11972 8.352079 16.40441n.hL/Q 0.1452367388 0.830132 0.949691 3.224759 2.002262 7.284649 42.88155 27.42051Q(2) 21.257310579 9.754146 11.50316 6.58423 6.087394 3.352459 0.41577 1.087394

Page 2: Hardy Cross Implementacao

hL 1.6689634295 4.363904 5.920891 11.39554 6.570639 13.27012 10.88393 15.87711n.hL/Q 0.1452480234 0.827671 0.952229 3.201855 1.996861 7.3229 48.42885 27.01197Q(2) 21.259005933 9.775414 11.48359 6.623933 6.107525 3.33312 0.376067 1.107525

hL 1.6692096847 4.381523 5.902267 11.52299 6.610894 13.12885 9.039567 16.42516n.hL/Q 0.1452578698 0.829205 0.950852 3.218259 2.002473 7.286977 44.46868 27.43644Q(2) 21.259914902 9.756862 11.50305 6.593786 6.096839 3.344401 0.406214 1.096839

hL 1.6693417219 4.366152 5.920785 11.42616 6.589512 13.21117 10.42566 16.13318n.hL/Q 0.145263149 0.827867 0.952221 3.205805 1.999495 7.307936 47.48107 27.21127Q(2) 21.260741819 9.768251 11.49249 6.61523 6.107722 3.333901 0.38477 1.107722

hL 1.6694618445 4.375585 5.910732 11.495 6.611288 13.13454 9.430369 16.43056n.hL/Q 0.1452679515 0.828688 0.951478 3.214665 2.002528 7.288428 45.34189 27.44058Q(2) 21.261174261 9.758164 11.50301 6.5989 6.101911 3.340009 0.4011 1.101911

hL 1.669524665 4.36723 5.920745 11.44256 6.599656 13.17909 10.18413 16.27145n.hL/Q 0.1452704631 0.827961 0.952218 3.207918 2.000908 7.299777 46.97246 27.31817Q(2) 21.261584574 9.764253 11.49733 6.610466 6.107798 3.334311 0.389534 1.107798

Page 3: Hardy Cross Implementacao

H=240-0.9376Q^29 10 P P I II III

3000 3000 ? hf 22.70745 -5.064742 24.49078 -29.525016 6 ? sum_n.hL.Q 137.2515 61.57954 80.94695 181.6273

100 100 ? deltaQ -0.165444 0.082247 -0.302553 0.16255882.79393 82.79393

0.5 0.5 722.9664 22.9664 194.0576 hf 0.549018 10.76923 0.584861 8.457253

84.97569 84.97569 51.2866514285714 sum_n.hL.Q 88.42243 21.36684 46.71013 153.23850.171998 0.662558 6.83455583492326 deltaQ -0.006209 -0.504016 -0.012521 -0.05519

hf 2.770371 -12.58931 21.51126 2.0866923.189444 38.6601 196.203622515263 sum_n.hL.Q 96.60006 71.66999 97.57477 153.565234.30554 107.947 53.1090403561407 deltaQ -0.028679 0.175657 -0.220459 -0.0135880.220979 0.607368 6.828346799203

hf 1.607287 7.821843 -4.476399 1.651315.070454 32.9143 196.28316235845 sum_n.hL.Q 94.46198 32.22583 62.41524 148.960242.44906 100.2546 53.1788822450429 deltaQ -0.017015 -0.24272 0.07172 -0.0110860.205888 0.59378 6.79966802552905

hf 1.34225 -7.274575 11.75053 1.2013524.448534 31.56497 196.64960902266 sum_n.hL.Q 93.65848 63.98461 92.90266 146.440239.97211 98.34489 53.5028732764663 deltaQ -0.014331 0.113693 -0.126482 -0.0082040.199959 0.582694 6.78265284954049

hf 0.815962 5.061131 -3.981294 0.7531954.214421 30.48342 196.866293614489 sum_n.hL.Q 92.81326 40.14921 71.47683 144.142838.99145 96.78204 53.6961939916294 deltaQ -0.008791 -0.126058 0.0557 -0.0052250.193831 0.57449 6.76832152489565

hf 0.666249 -3.806873 6.118505 0.5271463.978613 29.69421 197.048378734531 sum_n.hL.Q 92.31076 58.37695 88.69648 142.846437.97345 95.62261 53.8596606733309 deltaQ -0.007217 0.065212 -0.068982 -0.003690.190265 0.569265 6.75953008613255

hf 0.382905 3.02404 -2.613313 0.3576583.844256 29.19648 197.159886826554 sum_n.hL.Q 91.80894 45.056 76.67784 141.667737.37879 94.88282 53.9602288889008 deltaQ -0.004171 -0.067117 0.034082 -0.0025250.186738 0.565575 6.75231262932659

hf 0.321395 -1.986304 3.211547 0.2377713.713455 28.8473 197.251322648512 sum_n.hL.Q 91.57647 55.16314 86.16535 141.0636.78897 94.35975 54.0429578622963 deltaQ -0.00351 0.036008 -0.037272 -0.0016860.185092 0.56305 6.74814195535649

hf 0.177418 1.727222 -1.541995 0.1710533.653125 28.60952 197.304115148975 sum_n.hL.Q 91.3136 47.88613 79.58897 140.478836.51314 94.0016 54.0908320305662 deltaQ -0.001943 -0.036069 0.019374 -0.0012180.183268 0.561365 6.74463237318962

hf 0.154636 -1.045374 1.706298 0.1109643.586805 28.45128 197.34851425953 sum_n.hL.Q 91.21165 53.41061 84.76058 140.199436.20707 93.76235 54.1311566263281 deltaQ -0.001695 0.019572 -0.020131 -0.0007910.182542 0.560147 6.74268942087728

Page 4: Hardy Cross Implementacao

hf 0.08279 0.96268 -0.867638 0.0833063.560588 28.33721 197.373084276678 sum_n.hL.Q 91.08076 49.467 81.19457 139.915636.08523 93.58945 54.1534961971221 deltaQ -0.000909 -0.019461 0.010686 -0.0005950.181639 0.559355 6.74099406712997

hf 0.07528 -0.554133 0.914141 0.0534423.52804 28.26318 197.394517450135 sum_n.hL.Q 91.03715 52.46696 83.99976 139.786835.9333 93.47703 54.172997876295 deltaQ -0.000827 0.010562 -0.010883 -0.000382

0.181325 0.55876 6.74008509848864hf 0.03934 0.529483 -0.476937 0.041476

3.516781 28.20755 197.406006686347 sum_n.hL.Q 90.9727 50.33672 82.07343 139.64735.88057 93.39245 54.1834571868586 deltaQ -0.000432 -0.010519 0.005811 -0.0002970.18088 0.558378 6.7392581814402

hf 0.03732 -0.295081 0.49211 0.0264953.500845 28.17186 197.416457456064 sum_n.hL.Q 90.95416 51.96056 83.59132 139.586635.80577 93.33813 54.1929744284809 deltaQ -0.00041 0.005679 -0.005887 -0.000190.180745 0.558081 6.73882573942674

3.495997 28.14414 197.42192224805335.78298 93.29593 54.19795232603340.180524 0.557891 6.73841542556428