Page 1
Metoda Hardy Cross Nama : Zaky Prawirapipa AB BC CD DEpanjang (m) 600 600 200 600diameter (mm) 250 150 100 150A (m2) 0.049 0.018 0.008 0.018
roughness size of pipes k (mm) 0.06 hL pipa =viskositas kinematik T = 20 v (m2/s) 0.000001
elevasi titik simpul pipanode A B C Delevasi ( m dpl ) 30 25 20 20
run1loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 172 1941974.637AB 0.00024 132 4191616.766BE 0.0006 52 105679.550EF 0.0004 -152 724006.532
∆Q (ltr/s) -67.248
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 20 169358.253CD 0.0006 -20 254037.380DE 0.0004 -50 423395.633EB 0.0006 -15.248 193674.664
∆Q (ltr/s) 11.026
run2loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 104.752 1182710.769AB 0.00024 75.778 2406303.443BE 0.0006 -15.248 30987.946EF 0.0004 -219.248 1044320.977
∆Q (ltr/s) -30.316
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 8.9743373939 75993.9052289914
Page 2
2 CD 0.0006 -8.9743373939 113990.857843487DE 0.0004 -61.025662606 516759.980938069EB 0.0006 -34.537688905 438693.199664177
∆Q (ltr/s) 18.073
run 3loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 74.437 840430.717AB 0.00024 63.535 2017542.795BE 0.0006 -249.563 1408853.776EF 0.0004 -45.563 868109.582
∆Q (ltr/s) -14.266
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 -9.099 77046.627CD 0.0006 9.099 115569.941DE 0.0004 -79.099 669800.513EB 0.0006 -30.731 390343.349
∆Q (ltr/s) 20.797
run 4loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 60.170 679354.319AB 0.00024 70.066 2224927.172BE 0.0006 -263.830 1489391.975EF 0.0004 -59.830 1139926.004
∆Q (ltr/s) -11.543
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 11.699 99063.172CD 0.0006 29.896 379734.639
Page 3
2DE 0.0004 -58.301 493690.714EB 0.0006 -21.477 272792.771
∆Q (ltr/s) 4.883
run 5loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 48.627 549030.656AB 0.00024 63.407 2013465.472BE 0.0006 -275.373 1554553.806EF 0.0004 -71.373 1359847.186
∆Q (ltr/s) -1.962
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 16.582 140416.133CD 0.0006 34.779 441764.081DE 0.0004 -53.418 452337.753EB 0.0006 -18.555 235683.411
∆Q (ltr/s) 0.801
run 6loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 46.666 526879.474AB 0.00024 62.246 1976609.690BE 0.0006 -277.334 1565629.398EF 0.0004 -73.334 1397227.306
∆Q (ltr/s) -0.551
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 17.383 147201.311CD 0.0006 35.581 451941.848DE 0.0004 -52.617 445552.575
Page 4
2
EB 0.0006 -18.305 232502.791
∆Q (ltr/s) 0.184
run 7loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 46.115 520659.786AB 0.00024 61.880 1964965.765BE 0.0006 -277.885 1568739.241EF 0.0004 -73.885 1407723.029
∆Q (ltr/s) -0.143
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 17.568 148761.030CD 0.0006 35.765 454281.426DE 0.0004 -52.432 443992.856EB 0.0006 -18.264 231985.508
∆Q (ltr/s) 0.046
run 8loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 45.971 519039.969AB 0.00024 61.782 1961879.248BE 0.0006 -278.029 1569549.150EF 0.0004 -74.029 1410456.470
∆Q (ltr/s) -0.0373481383
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 17.614 149152.822CD 0.0006 35.811 454869.114DE 0.0004 -52.386 443601.064EB 0.0006 -18.255 231872.211
Page 5
∆Q (ltr/s) 0.012
run 9loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 45.934 518618.288AB 0.00024 61.757 1961072.028BE 0.0006 -278.066 1569759.991EF 0.0004 -74.066 1411168.057
∆Q (ltr/s) -0.010
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 17.626 149253.824CD 0.0006 35.823 455020.617DE 0.0004 -52.374 443500.062EB 0.0006 -18.253 231844.187
∆Q (ltr/s) 0.0031
run 10loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 45.924 518508.528AB 0.00024 61.750 1960861.661BE 0.0006 -278.076 1569814.870EF 0.0004 -74.076 1411353.276
∆Q (ltr/s) -0.0025
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 17.629 149280.046CD 0.0006 35.826 455059.950DE 0.0004 -52.371 443473.840EB 0.0006 -18.252 231836.993
Page 6
∆Q (ltr/s) 0.0008
run 11loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 45.922 518479.961AB 0.00024 61.749 1960806.890BE 0.0006 -278.078 1569829.154EF 0.0004 -74.078 1411401.484
∆Q (ltr/s) -0.0007
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 17.630 149286.866CD 0.0006 35.827 455070.180DE 0.0004 -52.370 443467.020EB 0.0006 -18.252 231835.128
∆Q (ltr/s) 0.0002
run 12loop pipa k/D Q (ltr/s) Re
1
FA 0.0003 45.921 518472.525AB 0.00024 61.748 1960792.634BE 0.0006 -278.079 1569832.872EF 0.0004 -74.079 1411414.032
∆Q (ltr/s) -0.00017
loop pipa k/D Q (ltr/s) Re
2
BC 0.0004 17.630 149288.641CD 0.0006 35.827 455072.842DE 0.0004 -52.370 443465.245EB 0.0006 -18.252 231834.643
Page 7
∆Q (ltr/s) 0.000055
Page 8
Nim : 1103614EF AF BE AB
600 200 200 600150 200 100 0.25
0.018 0.031 0.008
10 cm
E F22 25
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.003 1965.499 48.147 0.280 9.7292930.003 4422.779 77.063 0.584 16.80.005 252.919 0.684 0.013 1.0589090.004 182.713 -4.221 0.028 4.836364
∑ 121.672 0.905
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2901.355 1.161 0.058 1.1313130.004 7099.920 -2.840 0.142 2.5454550.004 2505.762 -6.264 0.125 2.8282830.004 7424.712 -1.726 0.113 1.94062
∑ -9.670 0.439
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.003 2107.015 13.120 0.125 5.9253810.003 4760.831 27.338 0.361 9.6444640.006 316.918 -0.074 0.005 0.3104990.003 173.133 -8.322 0.038 6.976064
∑ 32.06232363 0.52880860788
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.0051000351 3326.9005727596 0.2679443525 0.02985672822 0.507639
Page 9
0.004920753 8125.185078324 -0.6543921007 0.07291815228 1.1421880.0037254961 2430.2489297843 -9.0505665838 0.14830755124 3.4519570.0039401867 6506.0664165184 -7.7607740436 0.22470449789 4.395706
∑ -17.197788376 0.47578692962
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.003 2213.394 2.264 0.030 4.2105580.003 4876.134 19.684 0.310 8.0863120.003 167.712 -10.445 0.042 14.116710.003 177.872 -0.369 0.008 5.798972
∑ 11.133 0.390
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 3318.848 -0.275 0.030 0.5146710.005 8105.806 0.671 0.074 1.1580110.004 2336.852 -14.621 0.185 4.4742670.004 6626.716 -6.258 0.204 3.91124
∑ -20.483 0.492
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2283.675 -1.732 0.029 3.4035650.003 4811.610 23.621 0.337 8.9175080.003 166.374 -11.581 0.044 14.923710.003 170.952 -0.612 0.010 7.614706
∑ 9.697 0.420
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 3176.586 0.435 0.037 0.6617420.004 6655.663 5.949 0.199 3.804941
Page 10
0.004 2447.257 -8.318 0.143 3.2978540.004 7018.094 -3.237 0.151 2.733384
∑ -5.172 0.530
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2357.356 -4.426 0.091 2.7506440.003 4877.482 19.610 0.309 8.069970.003 165.354 -12.539 0.046 15.576630.003 166.680 -0.849 0.012 9.083779
∑ 1.796 0.458
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2993.438 0.823 0.050 0.937980.004 6498.961 7.861 0.226 4.4264760.004 2480.329 -7.078 0.132 3.0216160.004 7187.585 -2.475 0.133 2.361548
∑ -0.868 0.542
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2372.004 -4.835 0.104 2.6396660.003 4889.813 18.946 0.304 7.9222520.003 165.186 -12.705 0.046 15.687610.003 166.037 -0.893 0.012 9.333478
∑ 0.513 0.466
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2969.852 0.897 0.052 0.9833050.004 6475.841 8.198 0.230 4.5284570.004 2486.109 -6.883 0.131 2.976291
Page 11
0.004 7203.638 -2.414 0.132 2.329678∑ -0.201 0.545
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2376.253 -4.947 0.107 2.6085060.003 4893.766 18.739 0.303 7.8755830.003 165.139 -12.752 0.046 15.718770.003 165.860 -0.905 0.012 9.40359
∑ 0.134 0.468
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2964.622 0.915 0.052 0.9937240.004 6470.616 8.277 0.231 4.55190.004 2487.452 -6.838 0.130 2.9658720.004 7206.275 -2.404 0.132 2.324495
∑ -0.0504818941 0.54554010591
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2377.370 -4.976 0.108 2.600390.003 4894.819 18.684 0.302 7.8632120.003 165.127 -12.764 0.046 15.726880.003 165.815 -0.909 0.012 9.421849
∑ 0.035 0.469
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2963.319 0.919 0.052 0.9963410.004 6469.309 8.297 0.232 4.5577890.004 2487.791 -6.827 0.130 2.9632550.004 7206.853 -2.402 0.132 2.32336
Page 12
∑ -0.013 0.546
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2377.661 -4.983 0.108 2.5982780.003 4895.094 18.670 0.302 7.8599770.003 165.124 -12.767 0.046 15.7290.003 165.803 -0.910 0.012 9.426603
∑ 0.009 0.469
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2962.983 0.921 0.052 0.9970160.004 6468.972 8.302 0.232 4.5593070.004 2487.878 -6.824 0.130 2.962580.004 7206.996 -2.401 0.132 2.323079
∑ -0.003 0.546
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2377.737 -4.985 0.109 2.5977280.003 4895.166 18.666 0.302 7.8591340.003 165.123 -12.768 0.046 15.729550.003 165.800 -0.910 0.012 9.42784
∑ 0.0024 0.4690
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2962.896 0.921 0.052 0.9971910.004 6468.885 8.303 0.232 4.5597010.004 2487.901 -6.824 0.130 2.9624050.004 7207.033 -2.401 0.132 2.323007
∑ -0.0009 0.5458
Page 13
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2377.757 -4.986 0.109 2.5975850.003 4895.185 18.665 0.302 7.8589140.003 165.123 -12.769 0.046 15.729690.003 165.799 -0.910 0.012 9.428162
∑ 0.0006 0.4690
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2962.874 0.921 0.052 0.9972360.004 6468.862 8.303 0.232 4.5598030.004 2487.907 -6.823 0.130 2.962360.004 7207.042 -2.401 0.132 2.322988
∑ -0.00023 0.54583
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.004 2377.762 -4.986 0.109 2.5975470.003 4895.190 18.665 0.302 7.8588570.003 165.123 -12.769 0.046 15.729730.003 165.799 -0.910 0.012 9.428246
∑ 0.000161 0.469045
f K hL (m) hL/Q (m/ltr/s) v (m/s)0.005 2962.868 0.921 0.052 0.9972480.004 6468.856 8.303 0.232 4.559830.004 2487.908 -6.823 0.130 2.9623480.004 7207.045 -2.401 0.132 2.322983
∑ -0.00006 0.54583137546
Page 14
BC CD DE EF AF BE600 200 600 600 200 200
0.15 0.1 0.15 0.15 0.2 0.1
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 429830.6 277424.9 5.443146 31.9731193028 9131.15383482 2.3228180.064865 927759.4 598802.4 5.777284 33.7803783005 13623.1465183 2.7155150.162162 23390.78 15097.08 4.178893 25.050331975 2009.6216854 1.4298620.108108 160249.3 103429.5 5.014644 29.6432827459 5466.44652152 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 37485.23 24194.04 4.383708 26.1828229819 2568.13779186 1.8991440.162162 56227.84 36291.05 4.5598 27.1526637068 3170.92358716 1.4298620.108108 93713.07 60485.09 4.781648 28.3699164581 4135.68189189 1.8991440.162162 42867.34 27667.81 4.441975 26.504107413 2753.70157771 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 261777.5 168958.7 5.227781 30.8039733431 7055.63097736 2.3228180.064865 532603.7 343757.6 5.536252 32.4774926194 10208.0130315 2.7155150.162162 6858.775 4426.849 3.646095 22.0783340793 1061.84044743 1.4298620.108108 231146.7 149188.7 5.173736 30.5100140202 6613.52032372 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 16820.25 10856.27 4.035681 24.2553816701 1692.94936341 1.899144
Page 15
0.162162 25230.38 16284.41 4.211772 25.2324710059 2090.31348914 1.4298620.108108 114378 73822.85 4.868191 28.843465411 4587.21637553 1.8991440.162162 97098.98 62670.46 4.797063 28.4543142285 4212.72083784 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 186018.3 120061.5 5.079404 29.9963495532 5907.17733552 2.3228180.064865 446556.6 288220.4 5.459725 32.0629773183 9314.22756805 2.7155150.162162 311831.3 201264.8 5.303768 31.2168910967 7727.68285428 1.4298620.108108 192144.7 124015.7 5.093477 30.0730260084 6007.55530774 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 17053.26 11006.66 4.041656 24.2886008672 1705.10410411 1.8991440.162162 25579.89 16509.99 4.217747 25.2655554484 2105.32115505 1.4298620.108108 148251.6 95685.79 4.980847 29.4588784938 5249.65374404 1.8991440.162162 86397.38 55763.34 4.746349 28.1765582182 3964.52663021 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 150366.2 97050.62 4.986998 29.4924464601 5288.45860183 2.3228180.064865 492458.4 317846.7 5.502218 32.2931948856 9800.38704826 2.7155150.162162 329657.4 212770.3 5.327911 31.3479911044 7954.33168666 1.4298620.108108 252307.7 162846.6 5.211779 30.7169603 6921.73352085 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 21926.33 14151.88 4.150814 24.8946784724 1943.1815211 1.8991440.162162 84049.28 54247.81 4.734382 28.1109824535 3908.12749872 1.429862
Page 16
0.108108 109272 70527.24 4.848357 28.7349986432 4479.56239424 1.8991440.162162 60379.1 38970.4 4.590735 27.3226995659 3290.57730273 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 121520.7 78432.95 4.894499 28.98728003555 4734.01076328 2.3228180.064865 445654.2 287637.9 5.458846 32.0582160473 9304.43462384 2.7155150.162162 344080.1 222079.1 5.346508 31.4489432447 8133.43510975 1.4298620.108108 300984.3 194263.9 5.288392 31.133374977 7586.71670241 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 31079.27 20059.45 4.302319 25.7333904034 2329.67777256 1.8991440.162162 97778.68 63109.15 4.800092 28.4708987162 4228.02961025 1.4298620.108108 100119 64619.68 4.810365 28.5271270051 4280.3539859 1.8991440.162162 52165.43 33669.06 4.527231 26.9735415086 3049.65070021 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 116617.9 75268.5 4.876613 28.8895144988 4633.710288 2.3228180.064865 437496.6 282372.8 5.450823 32.0147325538 9215.47849829 2.7155150.162162 346531.5 223661.3 5.349591 31.4656778388 8163.51649811 1.4298620.108108 309257.9 199603.9 5.300169 31.1973449993 7694.45537582 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 32581.08 21028.76 4.322814 25.8466344645 2387.55334943 1.8991440.162162 100031.4 64563.12 4.809985 28.5250456446 4278.40547544 1.4298620.108108 98617.21 63650.37 4.803801 28.4911994151 4246.84557965 1.899144
Page 17
0.162162 51461.44 33214.68 4.52133 26.9410757803 3028.17981843 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 115241.2 74379.97 4.871456 28.8613182977 4605.18530697 2.3228180.064865 434919.4 280709.4 5.448257 32.000825042 9187.209197459 2.7155150.162162 347219.8 224105.6 5.350453 31.4703552238 8171.94447468 1.4298620.108108 311581 201103.3 5.303419 31.2149972545 7724.45706563 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 32926.3 21251.58 4.327391 25.8719208896 2400.67507638 1.8991440.162162 100549.2 64897.35 4.812227 28.5373187674 4289.9082277 1.4298620.108108 98271.99 63427.55 4.802278 28.4828627806 4239.10840286 1.8991440.162162 51346.95 33140.79 4.520363 26.9357533694 3024.67457937 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 114882.7 74148.57 4.870103 28.8539193581 4597.72962908 2.3228180.064865 434236.2 280268.5 5.447574 31.9971246032 9179.70223056 2.7155150.162162 347399.1 224221.3 5.350677 31.47157184237 8174.13808895 1.4298620.108108 312186 201493.8 5.304262 31.2195727661 7732.25288381 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 33013.02 21307.55 4.328533 25.878230641 2403.96078192 1.8991440.162162 100679.3 64981.3 4.812788 28.5403916936 4292.79317698 1.4298620.108108 98185.27 63371.58 4.801895 28.4807640325 4237.16282228 1.8991440.162162 51321.87 33124.6 4.520151 26.9345860464 3023.90635398 1.429862
Page 18
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 114789.4 74088.33 4.86975 28.851989404 4595.78688882 2.3228180.064865 434057.6 280153.1 5.447396 31.9961558581 9177.73799192 2.7155150.162162 347445.8 224251.4 5.350735 31.4718884565 8174.70905524 1.4298620.108108 312343.5 201595.4 5.304481 31.2207624284 7734.28115012 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 33035.37 21321.97 4.328827 25.8798545557 2404.8071506 1.8991440.162162 100712.8 65002.95 4.812933 28.5411832321 4293.53661421 1.4298620.108108 98162.92 63357.15 4.801796 28.4802226816 4236.66112638 1.8991440.162162 51315.67 33120.6 4.520098 26.9342972206 3023.71630585 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 114765.1 74072.65 4.869658 28.8514867963 4595.28108785 2.3228180.064865 434011 280123.1 5.447349 31.9959033305 9177.22603403 2.7155150.162162 347457.9 224259.3 5.35075 31.4719708611 8174.85766623 1.4298620.108108 312384.5 201621.9 5.304538 31.221071987 7734.80900781 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 33041.18 21325.72 4.328904 25.8802759683 2405.02683634 1.8991440.162162 100721.5 65008.56 4.812971 28.5413886846 4293.72960285 1.4298620.108108 98157.11 63353.41 4.80177 28.480082118 4236.53086922 1.8991440.162162 51314.08 33119.57 4.520085 26.9342230707 3023.66751696 1.429862
Page 19
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 114758.7 74068.57 4.869634 28.8513559622 4595.14943184 2.3228180.064865 433998.9 280115.3 5.447337 31.9958375784 9177.0927372 2.7155150.162162 347461.1 224261.3 5.350754 31.4719923085 8174.89634562 1.4298620.108108 312395.2 201628.8 5.304553 31.2211525508 7734.94639077 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 33042.69 21326.7 4.328924 25.8803855648 2405.08397318 1.8991440.162162 100723.8 65010.03 4.81298 28.5414421195 4293.77979754 1.4298620.108108 98155.6 63352.43 4.801763 28.4800455563 4236.49698896 1.8991440.162162 51313.66 33119.3 4.520081 26.9342038412 3023.65486455 1.429862
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.081081 114757.1 74067.5 4.869628 28.8513219088 4595.11516506 2.3228180.064865 433995.7 280113.2 5.447334 31.9958204633 9177.05804076 2.7155150.162162 347461.9 224261.8 5.350755 31.4719978906 8174.90641271 1.4298620.108108 312398 201630.6 5.304556 31.2211735188 7734.98214717 1.899144
k/3.7D Re/4.518 Re/7 log Re/7 5.02 log re0.52/2g (d/k)0.70.108108 33043.08 21326.95 4.328929 25.8804140836 2405.09884138 1.8991440.162162 100724.4 65010.41 4.812983 28.5414560243 4293.79285934 1.4298620.108108 98155.21 63352.18 4.801762 28.480036042 4236.48817245 1.8991440.162162 51313.56 33119.23 4.52008 26.9341988411 3023.65157462 1.429862
Page 20
1 + re ( 1/f f21211.005503 4.12E+10 7.782E-10 18.21784 331.8897 0.00301336994.852304 1.55E+11 2.183E-10 19.32205 373.3416 0.0026792874.4816838 3.04E+08 8.3E-08 14.16187 200.5585 0.00498610382.571749 7.52E+09 3.958E-09 16.80508 282.4107 0.003541
1 + re ( 1/f f4878.2647173 8.26E+08 3.182E-08 14.99453 224.836 0.0044484534.9831445 1.15E+09 2.371E-08 15.25015 232.5671 0.00437855.2574457 3.33E+09 8.563E-09 16.13479 260.3316 0.0038413938.4132474 7.63E+08 3.496E-08 14.91286 222.3935 0.004497
1 + re ( 1/f f16389.944329 1.94E+10 1.593E-09 17.59542 309.5986 0.0032327721.007701 6.67E+10 4.879E-10 18.62342 346.8318 0.0028831519.2853066 47079531 4.724E-07 12.65138 160.0573 0.00624812561.030632 1.31E+10 2.334E-09 17.26376 298.0375 0.003355
1 + re ( 1/f f3216.1554424 2.44E+08 9.968E-08 14.00275 196.0771 0.0051
Page 21
2989.8598278 3.41E+08 7.451E-08 14.25556 203.2209 0.0049218712.7866689 4.5E+09 6.43E-09 16.38355 268.4206 0.0037256024.6094458 2.64E+09 1.083E-08 15.93095 253.7951 0.00394
1 + re ( 1/f f13722.295913 1.15E+10 2.608E-09 17.16738 294.7188 0.00339325293.920289 5.1E+10 6.296E-10 18.40191 338.6305 0.00295311050.520067 1.56E+10 2.016E-09 17.39122 302.4544 0.00330611410.215515 9.91E+09 3.047E-09 17.03227 290.0981 0.003447
1 + re ( 1/f f3239.2390511 2.5E+08 9.775E-08 14.01973 196.5529 0.005088
3011.318719 3.48E+08 7.306E-08 14.27259 203.7068 0.0049099970.8509422 6.68E+09 4.427E-09 16.70774 279.1486 0.0035825669.7259795 2.21E+09 1.28E-08 15.78526 249.1743 0.004013
1 + re ( 1/f f12285.125104 8.35E+09 3.543E-09 16.90115 285.6487 0.00350126614.093421 5.92E+10 5.465E-10 18.52489 343.1715 0.002914
11374.59662 1.69E+10 1.86E-09 17.46099 304.8861 0.0032813146.372024 1.5E+10 2.057E-09 17.37356 301.8405 0.003313
1 + re ( 1/f f3691.382464 3.66E+08 6.837E-08 14.33023 205.3554 0.00487
5589.0830045 2.12E+09 1.332E-08 15.75089 248.0906 0.004031
Page 22
8508.3362043 4.2E+09 6.867E-09 16.32652 266.5551 0.0037524706.0714457 1.28E+09 2.141E-08 15.3388 235.2787 0.00425
1 + re ( 1/f f10997.243866 6.04E+09 4.814E-09 16.63492 276.7206 0.00361425267.327407 5.09E+10 6.314E-10 18.39937 338.5369 0.00295411630.689799 1.81E+10 1.748E-09 17.51474 306.7662 0.0032614409.271164 1.96E+10 1.594E-09 17.5948 309.577 0.00323
1 + re ( 1/f f4425.3946874 6.21E+08 4.159E-08 14.7621 217.9197 0.0045896046.4988777 2.67E+09 1.072E-08 15.93965 254.0725 0.0039368130.0106547 3.68E+09 7.787E-09 16.21731 263.001 0.0038024361.5796518 1.03E+09 2.64E-08 15.15686 229.7305 0.004353
1 + re ( 1/f f10764.264149 5.67E+09 5.108E-09 16.58348 275.0117 0.00363625025.765756 4.95E+10 6.485E-10 18.37616 337.6832 0.00296111673.702033 1.83E+10 1.731E-09 17.52366 307.0785 0.00325614613.882472 2.04E+10 1.533E-09 17.62883 310.7755 0.003218
1 + re ( 1/f f4535.3087698 6.68E+08 3.888E-08 14.8206 219.6503 0.0045536118.5294131 2.77E+09 1.037E-08 15.96808 254.9797 0.0039228066.3733499 3.59E+09 7.958E-09 16.19844 262.3896 0.003811
Page 23
4330.8792538 1.01E+09 2.692E-08 15.13997 229.2186 0.004363
1 + re ( 1/f f10698.005819 5.57E+09 5.196E-09 16.56864 274.52 0.00364324949.000059 4.9E+10 6.541E-10 18.36874 337.4104 0.00296411685.752877 1.83E+10 1.726E-09 17.52615 307.1658 0.00325614670.860015 2.07E+10 1.517E-09 17.63822 311.1067 0.003214
1 + re ( 1/f f4560.2288252 6.78E+08 3.83E-08 14.83367 220.0378 0.0045456134.9767615 2.79E+09 1.03E-08 15.97453 255.1855 0.0039198051.6793333 3.57E+09 8E-09 16.19407 262.2478 0.0038134325.8672456 1E+09 2.7E-08 15.1372 229.1347 0.004364
1 + re ( 1/f f10680.687639 5.54E+09 5.219E-09 16.56475 274.391 0.00364424928.614781 4.89E+10 6.556E-10 18.36676 337.3379 0.00296411688.889442 1.83E+10 1.724E-09 17.5268 307.1886 0.003255
14685.6654 2.07E+10 1.512E-09 17.64065 311.1925 0.003213
1 + re ( 1/f f4566.4688547 6.81E+08 3.815E-08 14.83693 220.1346 0.0045436139.1018408 2.79E+09 1.028E-08 15.97614 255.2371 0.0039188047.9843947 3.57E+09 8.008E-09 16.19297 262.2121 0.0038144324.7687894 1E+09 2.702E-08 15.13659 229.1163 0.004365
Page 24
1 + re ( 1/f f10676.175007 5.54E+09 5.226E-09 16.56374 274.3574 0.00364524923.280862 4.89E+10 6.56E-10 18.36624 337.3189 0.00296511689.705845 1.84E+10 1.724E-09 17.52696 307.1945 0.00325514689.517371 2.07E+10 1.511E-09 17.64128 311.2149 0.003213
1 + re ( 1/f f4568.0762311 6.82E+08 3.812E-08 14.83777 220.1595 0.0045426140.1648534 2.79E+09 1.027E-08 15.97656 255.2504 0.0039188047.0316017 3.57E+09 8.01E-09 16.19268 262.2029 0.0038144324.4970468 1E+09 2.703E-08 15.13644 229.1118 0.004365
1 + re ( 1/f f10675.000124 5.54E+09 5.227E-09 16.56347 274.3487 0.00364524921.890633 4.89E+10 6.561E-10 18.36611 337.3139 0.00296511689.918338 1.84E+10 1.724E-09 17.52701 307.196 0.00325514690.519849 2.07E+10 1.511E-09 17.64145 311.2207 0.003213
1 + re ( 1/f f4568.4934461 6.82E+08 3.811E-08 14.83799 220.166 0.0045426140.4408006 2.79E+09 1.027E-08 15.97667 255.2538 0.0039188046.7842245 3.57E+09 8.011E-09 16.19261 262.2005 0.0038144324.4272854 1E+09 2.703E-08 15.1364 229.1106 0.004365
Page 25
1 + re ( 1/f f10674.694311 5.53E+09 5.228E-09 16.5634 274.3464 0.00364524921.528664 4.89E+10 6.561E-10 18.36607 337.3126 0.00296511689.973645 1.84E+10 1.724E-09 17.52702 307.1964 0.00325514690.780759 2.07E+10 1.511E-09 17.64149 311.2222 0.003213
1 + re ( 1/f f4568.6019572 6.82E+08 3.81E-08 14.83805 220.1677 0.004542
6140.512572 2.79E+09 1.027E-08 15.97669 255.2547 0.0039188046.719881 3.57E+09 8.011E-09 16.19259 262.1999 0.003814
4324.4091942 1E+09 2.703E-08 15.13639 229.1103 0.004365
1 + re ( 1/f f10674.614715 5.53E+09 5.228E-09 16.56339 274.3458 0.00364524921.434445 4.89E+10 6.561E-10 18.36606 337.3123 0.00296511689.988039 1.84E+10 1.724E-09 17.52702 307.1965 0.00325514690.848666 2.07E+10 1.511E-09 17.6415 311.2226 0.003213
1 + re ( 1/f f4568.6301941 6.82E+08 3.81E-08 14.83806 220.1681 0.0045426140.5312486 2.79E+09 1.027E-08 15.9767 255.255 0.0039188046.7031372 3.57E+09 8.011E-09 16.19258 262.1998 0.003814
4324.40449 1E+09 2.703E-08 15.13639 229.1102 0.004365
Page 26
RESUMEpipa Q (ltr/s) hL (m)FA 45.921 4.986AB 61.748 18.665BE 278.079 12.769EF 74.079 0.910BC 17.630 0.921CD 35.827 8.303DE 52.370 6.823EB 18.252 2.401
