12
ITERATION LOOP PIPE L(m) D(m) A(m^2) 1 1 AB 600 0.25 0.0490875 BE 200 0.1 0.007854 EF 600 0.15 0.0176715 FA 200 0.2 0.031416 2 BC 600 0.15 0.0176715 CD 200 0.1 0.007854 DE 600 0.15 0.0176715 EB 200 0.1 0.007854 2 1 AB 600 0.25 0.0490875 BE 200 0.1 0.007854 EF 600 0.15 0.0176715 FA 200 0.2 0.031416 2 BC 600 0.15 0.0176715 CD 200 0.1 0.007854 DE 600 0.15 0.0176715 EB 200 0.1 0.007854 3 1 AB 600 0.25 0.0490875 BE 200 0.1 0.007854 EF 600 0.15 0.0176715 FA 200 0.2 0.031416 2 BC 600 0.15 0.0176715 CD 200 0.1 0.007854 DE 600 0.15 0.0176715 EB 200 0.1 0.007854 4 1 AB 600 0.25 0.0490875 BE 200 0.1 0.007854 EF 600 0.15 0.0176715 FA 200 0.2 0.031416 2 BC 600 0.15 0.0176715 CD 200 0.1 0.007854 DE 600 0.15 0.0176715 EB 200 0.1 0.007854 1 AB 600 0.25 0.0490875 BE 200 0.1 0.007854 EF 600 0.15 0.0176715 FA 200 0.2 0.031416

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Page 1: kawboi

ITERATION LOOP PIPE L(m) D(m) A(m^2) k(m)

1

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

2

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

3

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

4

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

5

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

Page 2: kawboi

5

1

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

6

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

7

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

8

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

9

1

AB 600 0.25 0.0490875 0.00006BE 200 0.1 0.007854 0.00006EF 600 0.15 0.0176715 0.00006FA 200 0.2 0.031416 0.00006

2

BC 600 0.15 0.0176715 0.00006CD 200 0.1 0.007854 0.00006DE 600 0.15 0.0176715 0.00006EB 200 0.1 0.007854 0.00006

Page 3: kawboi

9

2

Since sum of hL and deltaQ are close to zero, consider final values as

Pipe Q(m^3/s) hL(m)AB 0.1315492684 13.843021383BE 0.0249975391 19.855434836EF 0.0249977555 27.03055575FA 0.0484507316 6.6675715041BC 0.0884507316 1.5390792032CD 0.0065515129 25.012444686DE 0.0234484871 1.5390792032

Page 4: kawboi

k/D Q(m^3/s) V(m/s) Re λ K hL(m) hL/Q deltaQ0.00024 0.12 2.444614209 540843.9 0.015842 804.2417 11.581080509 96.509

0.0006 0.01 1.273236567 112675.8 0.020644 34114.69 3.411468598 341.14690.0004 -0.06 3.395297513 450703.2 0.017435 11382.57 -40.97725828 682.95430.0003 -0.1 3.183091418 563379 0.016396 846.7093 -8.467093201 84.67093

-34.45180238 1205.281 0.0142920.0004 0.05 2.829414594 375586 0.017605 11493.77 28.734413568 574.68830.0006 0.01 1.273236567 112675.8 0.020644 34114.69 3.411468598 341.14690.0004 -0.02 1.131765838 150234.4 0.01896 12377.9 -4.951158734 247.55790.0006 -0.02429202 3.092948773 273712.3 0.019258 31824.98 -18.77999378 773.0931

8.414729648 1936.486 -0.0021730.00024 0.13429202 2.735768162 605258.4 0.015739 799.0103 14.409629266 107.3007

0.0006 0.0264647 3.369582333 298193.1 0.01917 31678.83 22.187228946 838.37070.0004 -0.04570798 2.586536533 343345.6 0.017699 11555.06 -24.14105347 528.15840.0003 -0.08570798 2.728163367 482860.8 0.016532 853.7608 -6.271605567 73.17411

6.184199169 1547.004 -0.0019990.0004 0.04782732 2.706466345 359265.4 0.017651 11523.54 26.359542357 551.13990.0006 0.00782732 0.996603007 88194.96 0.021218 35062.76 2.1481879944 274.44740.0004 -0.02217268 1.254714087 166555 0.018757 12245.56 -6.02025831 271.51690.0006 -0.02446593 3.115092076 275671.9 0.019251 31812.4 -19.04232853 778.3201

3.445143515 1875.424 -0.0009180.00024 0.132293253 2.695049721 596249.9 0.015752 799.6798 13.995599978 105.7922

0.0006 0.02538443 3.232038479 286021.1 0.019212 31748.61 20.45782714 805.92030.0004 -0.04770675 2.699643314 358359.7 0.017654 11525.26 -26.23072977 549.83270.0003 -0.08770675 2.791785931 494121.4 0.016511 852.6481 -6.558972912 74.78299

1.663724433 1536.328 -0.0005410.0004 0.046908823 2.654490166 352366 0.017672 11536.88 25.386182079 541.18140.0006 0.006908823 0.879656605 77845.72 0.021549 35610.34 1.6997469234 246.02550.0004 -0.02309118 1.306690266 173454.5 0.018681 12196.08 -6.502980263 281.62190.0006 -0.02484297 3.163097651 279920.1 0.019235 31785.69 -19.61727191 789.6509

0.965676825 1858.48 -0.000260.00024 0.131751792 2.684019189 593809.6 0.015756 799.8644 13.884473171 105.3836

0.0006 0.025102772 3.196176707 282847.5 0.019224 31767.71 20.018396328 797.45760.0004 -0.04824821 2.730283681 362427 0.017642 11517.58 -26.81164905 555.70250.0003 -0.08824821 2.809021138 497171.9 0.016505 852.3546 -6.63792156 75.21877

0.45329889 1533.762 -0.0001480.0004 0.04664902 2.639788364 350414.4 0.017677 11540.74 25.114161593 538.36420.0006 0.00664902 0.846577549 74918.37 0.021656 35787.75 1.582157295 237.95350.0004 -0.02335098 1.321392068 175406 0.018661 12182.69 -6.642836096 284.47780.0006 -0.024955 3.177361644 281182.4 0.01923 31777.89 -19.78974517 793.0173

0.26373762 1853.813 -7.11E-050.00024 0.131604018 2.681008779 593143.5 0.015757 799.915 13.854221353 105.272

0.0006 0.025026132 3.186418664 281984 0.019227 31772.98 19.899648042 795.15480.0004 -0.04839598 2.738645931 363537.1 0.017639 11515.51 -26.97128944 557.30430.0003 -0.08839598 2.813724904 498004.4 0.016504 852.2751 -6.659549482 75.33769

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0.123030469 1533.069 -4.01E-050.0004 0.046577886 2.635763022 349880 0.017679 11541.8 25.039936432 537.59280.0006 0.006577886 0.837520529 74116.86 0.021687 35838.33 1.5506739745 235.74050.0004 -0.02342211 1.32541741 175940.4 0.018655 12179.07 -6.681383367 285.25960.0006 -0.02498601 3.181309732 281531.8 0.019229 31775.75 -19.83761622 793.949

0.071610819 1852.542 -1.93E-050.00024 0.131563893 2.680191349 592962.7 0.015757 799.9287 13.846012613 105.2417

0.0006 0.025005334 3.183770608 281749.6 0.019228 31774.41 19.867483747 794.52980.0004 -0.04843611 2.740916568 363838.5 0.017638 11514.95 -27.01471856 557.73930.0003 -0.08843611 2.815002137 498230.5 0.016503 852.2536 -6.665428239 75.36999

0.033349564 1532.881 -1.09E-050.0004 0.046558559 2.634669299 349734.9 0.01768 11542.09 25.019787624 537.38320.0006 0.006558559 0.835059653 73899.08 0.021695 35852.23 1.5421726161 235.1390.0004 -0.02344144 1.326511133 176085.5 0.018654 12178.09 -6.691875943 285.4720.0006 -0.02499446 3.182385572 281627 0.019228 31775.16 -19.85067089 794.2029

0.019413406 1852.197 -5.24E-060.00024 0.131553015 2.679969744 592913.7 0.015757 799.9325 13.843787634 105.2335

0.0006 0.024999697 3.18305283 281686.1 0.019228 31774.8 19.858769806 794.36040.0004 -0.04844699 2.741532139 363920.2 0.017638 11514.8 -27.0264982 557.85720.0003 -0.08844699 2.815348396 498291.8 0.016503 852.2477 -6.667022419 75.37874

0.009036817 1532.83 -2.95E-060.0004 0.046553318 2.63437274 349695.5 0.01768 11542.17 25.014325734 537.32640.0006 0.006553318 0.834392395 73840.03 0.021698 35856.01 1.5398714027 234.97580.0004 -0.02344668 1.326807692 176124.9 0.018653 12177.83 -6.694722362 285.52960.0006 -0.02499675 3.182677511 281652.9 0.019228 31775.01 -19.85421413 794.2718

0.005260648 1852.104 -1.42E-060.00024 0.131550067 2.679909693 592900.4 0.015757 799.9335 13.843184736 105.2313

0.0006 0.024998169 3.182858334 281668.9 0.019228 31774.91 19.856408915 794.31450.0004 -0.04844993 2.741698948 363942.3 0.017638 11514.76 -27.02969071 557.88910.0003 -0.08844993 2.815442225 498308.4 0.016503 852.2461 -6.667454445 75.38111

0.002448496 1532.816 -7.99E-070.0004 0.046551898 2.634292374 349684.8 0.01768 11542.19 25.012845698 537.3110.0006 0.006551898 0.834211573 73824.03 0.021698 35857.04 1.5392480745 234.93160.0004 -0.0234481 1.326888058 176135.6 0.018653 12177.75 -6.695493827 285.54520.0006 -0.02499737 3.182756641 281659.9 0.019228 31774.96 -19.85517458 794.2905

0.001425366 1852.078 -3.85E-070.00024 0.131549268 2.679893422 592896.8 0.015757 799.9337 13.843021383 105.2307

0.0006 0.024997755 3.182805636 281664.2 0.019228 31774.94 19.855769266 794.30210.0004 -0.04845073 2.741744144 363948.3 0.017638 11514.74 -27.03055575 557.89780.0003 -0.08845073 2.815467649 498312.9 0.016503 852.2457 -6.667571504 75.38176

0.000663395 1532.812 -2.16E-070.0004 0.046551513 2.634270599 349681.9 0.01768 11542.2 25.012444686 537.30680.0006 0.006551513 0.834162578 73819.7 0.021698 35857.32 1.5390792032 234.91970.0004 -0.02344849 1.326909833 176138.5 0.018653 12177.73 -6.695702864 285.54950.0006 -0.02499754 3.182778083 281661.8 0.019228 31774.95 -19.85543484 794.2956

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0.000386189 1852.072 -1.04E-07

Page 7: kawboi

kawboiiii PIPE L(m) D(m) A(m^2) k(m) k/D Q(m^3/s) V(m/s)1 AJ 10000 0.45 0.158963 0.00006 0.000133 0.317925 2

BJ 2000 0.35 0.096163 0.00006 0.000171 0.192325 2CJ 3000 0.3 0.07065 0.00006 0.0002 0.1413 2DJ 3000 0.25 0.049063 0.00006 0.00024 0.098125 2

Page 8: kawboi

Re λ K Z1 Z1-Zj Q Q/hL Q/A ∆Zj796460.17699115 0.014174 635.3072 200619469.02654867 0.014932 470.2834 170530973.45132743 0.015429 1575.482 100442477.87610619 0.016051 4078.379 75