Hardy Crosss

24
Q(lt/s) CIRC. TRAMO D(m) L(m) a Q(m^3/s) H(m) a*|Q|^N-1 7 I A-B 0.07709224 150 54837.0567 -0.007 -5.62795491 803.993558 23 B-C 0.13974156 150 3030.84434 -0.023 -2.81268992 122.290866 67 C-H 0.23850586 150 224.549935 -0.067 -1.50791685 22.5062216 22 H-I 0.13666994 150 3377.17554 -0.022 -2.88654291 131.206496 18 I-J 0.12362261 150 5504.05579 0.018 3.24483214 180.268452 6 J-A 0.08741439 150 29744.687 0.006 2.29491904 382.486506 -7.29535341 1642.7521 24 II C-D 0.1427471 150 2732.58589 0.024 2.74375185 114.322994 9 D-E 0.08741439 150 29744.687 0.009 4.86085078 540.094531 4 E-F 0.05827626 150 214113.744 -0.004 -7.79933525 1949.83381 4 F-G 0.05827626 150 214113.744 -0.004 -7.79933525 1949.83381 50 G-H 0.20603769 150 457.819487 0.05 1.78849509 35.7699018 67 H-C 0.23850586 150 224.549935 0.067 1.50791685 22.5062216 -4.69765595 4612.36127 22 III I-H 0.13666994 150 3377.17554 0.022 2.88654291 131.206496 50 H-G 0.20603769 150 457.819487 -0.05 -1.78849509 35.7699018 61 G-M 0.22757606 150 282.155703 -0.061 -1.59270138 26.1098588 91 M-L 0.27796003 150 106.577029 -0.091 -1.26138955 13.8614236 57 L-K 0.21998805 150 332.800651 -0.057 -1.65694665 29.0692394 50 K-I 0.20603769 150 457.819487 0.05 1.78849509 35.7699018 -1.62449468 271.786821 4 IV G-F 0.05827626 150 214113.744 0.004 7.79933525 1949.83381 10 F-O 0.09214285 150 23016.151 -0.01 -4.57122605 457.122605 16 O-Ñ 0.11655252 150 7331.47558 -0.016 -3.4755015 217.218844 37 Ñ-N 0.17724032 150 952.780298 -0.037 -2.13173963 57.6145847 22 N-M 0.13666994 150 3377.17554 -0.022 -2.88654291 131.206496 61 M-G 0.22757606 150 282.155703 0.061 1.59270138 26.1098588 -3.67297345 2839.1062 37 V N-Ñ 0.17724032 150 952.780298 0.037 2.13173963 57.6145847 13 Ñ-X 0.10505902 150 12153.1028 0.013 3.92280136 301.753951 6 X-W 0.07137355 150 79804.4253 0.006 6.15722379 1026.20397 10 W-V 0.09214285 150 23016.151 -0.01 -4.57122605 457.122605 10 V-U 0.09214285 150 23016.151 -0.01 -4.57122605 457.122605 31 U-N 0.16223424 150 1465.63692 0.031 2.36339815 76.2386501 5.43271084 2376.05636 114 VI P-K 0.31111008 150 61.582539 0.114 1.10608492 9.70249928 57 K-L 0.21998805 150 332.800651 0.057 1.65694665 29.0692394 43 L-S 0.19107149 150 660.890184 -0.043 -1.95289733 45.4162171

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programa para analisis de Tuberias en excel

Transcript of Hardy Crosss

Page 1: Hardy Crosss

Q(lt/s) CIRC. TRAMO D(m) L(m) a Q(m^3/s) H(m) a*|Q|^N-1

7 I A-B 0.07709224 150 54837.0567 -0.007 -5.62795491 803.99355823 B-C 0.13974156 150 3030.84434 -0.023 -2.81268992 122.29086667 C-H 0.23850586 150 224.549935 -0.067 -1.50791685 22.506221622 H-I 0.13666994 150 3377.17554 -0.022 -2.88654291 131.20649618 I-J 0.12362261 150 5504.05579 0.018 3.24483214 180.2684526 J-A 0.08741439 150 29744.687 0.006 2.29491904 382.486506

-7.29535341 1642.7521

24 II C-D 0.1427471 150 2732.58589 0.024 2.74375185 114.3229949 D-E 0.08741439 150 29744.687 0.009 4.86085078 540.0945314 E-F 0.05827626 150 214113.744 -0.004 -7.79933525 1949.833814 F-G 0.05827626 150 214113.744 -0.004 -7.79933525 1949.8338150 G-H 0.20603769 150 457.819487 0.05 1.78849509 35.769901867 H-C 0.23850586 150 224.549935 0.067 1.50791685 22.5062216

-4.69765595 4612.36127

22 III I-H 0.13666994 150 3377.17554 0.022 2.88654291 131.20649650 H-G 0.20603769 150 457.819487 -0.05 -1.78849509 35.769901861 G-M 0.22757606 150 282.155703 -0.061 -1.59270138 26.109858891 M-L 0.27796003 150 106.577029 -0.091 -1.26138955 13.861423657 L-K 0.21998805 150 332.800651 -0.057 -1.65694665 29.069239450 K-I 0.20603769 150 457.819487 0.05 1.78849509 35.7699018

-1.62449468 271.786821

4 IV G-F 0.05827626 150 214113.744 0.004 7.79933525 1949.8338110 F-O 0.09214285 150 23016.151 -0.01 -4.57122605 457.12260516 O-Ñ 0.11655252 150 7331.47558 -0.016 -3.4755015 217.21884437 Ñ-N 0.17724032 150 952.780298 -0.037 -2.13173963 57.614584722 N-M 0.13666994 150 3377.17554 -0.022 -2.88654291 131.20649661 M-G 0.22757606 150 282.155703 0.061 1.59270138 26.1098588

-3.67297345 2839.1062

37 V N-Ñ 0.17724032 150 952.780298 0.037 2.13173963 57.614584713 Ñ-X 0.10505902 150 12153.1028 0.013 3.92280136 301.7539516 X-W 0.07137355 150 79804.4253 0.006 6.15722379 1026.2039710 W-V 0.09214285 150 23016.151 -0.01 -4.57122605 457.12260510 V-U 0.09214285 150 23016.151 -0.01 -4.57122605 457.12260531 U-N 0.16223424 150 1465.63692 0.031 2.36339815 76.2386501

5.43271084 2376.05636

114 VI P-K 0.31111008 150 61.582539 0.114 1.10608492 9.7024992857 K-L 0.21998805 150 332.800651 0.057 1.65694665 29.069239443 L-S 0.19107149 150 660.890184 -0.043 -1.95289733 45.4162171

Page 2: Hardy Crosss

135 S-R 0.33855446 150 40.8062639 -0.135 -1.00224671 7.4240497134 R-Q 0.33729823 150 41.5514665 0.134 1.00660096 7.51194743123 Q-P 0.32315748 150 51.1838338 0.123 1.05814985 8.60284429

1.87263833 107.726797

91 VII L-M 0.27796003 150 106.577029 0.091 1.26138955 13.861423622 M-N 0.13666994 150 3377.17554 0.022 2.88654291 131.20649631 N-U 0.16223424 150 1465.63692 -0.031 -2.36339815 76.238650156 U-T 0.21804979 150 347.451673 -0.056 -1.67413488 29.895265880 T-S 0.26061935 150 145.832046 -0.08 -1.35979216 16.997402143 S-L 0.19107149 150 660.890184 0.043 1.95289733 45.4162171

0.70350459 313.615454

135 VIII R-S 0.33855446 150 40.8062639 0.135 1.00224671 7.424049780 S-T 0.26061935 150 145.832046 0.08 1.35979216 16.997402110 T-A' 0.09214285 150 23016.151 0.01 4.57122605 457.12260535 A'-Z 0.1723835 150 1090.77635 -0.035 -2.20194093 62.912597941 Z-Y 0.18657506 150 742.124825 -0.041 -2.00788982 48.9729225275 Y-R 0.4832012 150 7.22110008 0.275 0.66192408 2.40699665

3.38535825 595.836574

56 IX T-U 0.21804979 150 347.451673 0.056 1.67413488 29.895265810 U-V 0.09214285 150 23016.151 0.01 4.57122605 457.12260512 V-C' 0.10093744 150 14767.2762 -0.012 -4.11021826 342.51818826 C'-B' 0.14857589 150 2248.85055 -0.026 -2.6186428 100.71703138 B'-A' 0.17961949 150 892.897769 -0.038 -2.0988489 55.232865910 A'-T 0.09214285 150 23016.151 -0.01 -4.57122605 457.122605

-7.15357509 1442.60856

10 X V-W 0.09214285 150 23016.151 0.01 4.57122605 457.1226059 W-F' 0.08741439 150 29744.687 0.009 4.86085078 540.0945313 F'-E' 0.05046872 150 431274.272 0.003 9.22369627 3074.565421 E'-D' 0.02913813 150 6253133.46 -0.001 -17.5024037 17502.40376 D'-C' 0.07137355 150 79804.4253 -0.006 -6.15722379 1026.2039712 C'-V 0.10093744 150 14767.2762 0.012 4.11021826 342.518188

-0.89363618 22942.9084

Page 3: Hardy Crosss

a*Q*|Q|^N-1 dQ otros cir. a Q(m^3/s) H(m)

-5.62795491 0.0023992079 548337.057 -0.00460079 -25.8791944-2.81268992 0.0023992079 3030.84434 -0.02060079 -2.29383812-1.50791685 0.0023992079 -0.0005502391 224.549935 -0.06515103 -1.43179634-2.88654291 0.0023992079 -0.0032291148 3377.17554 -0.02282991 -3.091325933.24483214 0.0023992079 5504.05579 0.02039921 4.090506192.29491904 0.0023992079 79804.4253 0.00839921 11.4760419-7.29535341 -17.1296067

2.74375185 0.0005502391 2732.58589 0.02455024 2.861323564.86085078 0.0005502391 29744.687 0.00955024 5.42520024-7.79933525 0.0005502391 214113.744 -0.00344976 -5.93050901-7.79933525 0.0005502391 -0.0006989236 214113.744 -0.00414868 -8.344430751.78849509 0.0005502391 -0.0032291148 457.819487 0.04732112 1.615180941.50791685 0.0005502391 -0.0023992079 224.549935 0.06515103 1.43179634-4.69765595 -2.94143867

2.88654291 0.0032291148 -0.0023992079 3377.17554 0.02282991 3.09132593-1.78849509 0.0032291148 -0.0005502391 457.819487 -0.04732112 -1.61518094-1.59270138 0.0032291148 -0.0006989236 282.155703 -0.05846981 -1.47258157-1.26138955 0.0032291148 0.0012118896 106.577029 -0.086559 -1.14981642-1.65694665 0.0032291148 0.0093912573 332.800651 -0.04437963 -1.042608151.78849509 0.0032291148 457.819487 0.05322911 2.00815173-1.62449468 0.0032291148 -0.18070942

7.79933525 0.0006989236 -0.0005502391 214113.744 0.00414868 8.34443075-4.57122605 0.0006989236 23016.151 -0.00930108 -3.99749261-3.4755015 0.0006989236 7331.47558 -0.01530108 -3.19971857-2.13173963 0.0006989236 0.0012352459 952.780298 -0.03506583 -1.93007102-2.88654291 0.0006989236 0.0012118896 3377.17554 -0.02008919 -2.439702981.59270138 0.0006989236 -0.0032291148 282.155703 0.05846981 1.47258157-3.67297345 0.0006989236 -1.74997285

2.13173963 -0.001235246 -0.0006989236 952.780298 0.03506583 1.930071023.92280136 -0.001235246 12153.1028 0.01176475 3.260889126.15722379 -0.001235246 79804.4253 0.00476475 4.01864756-4.57122605 -0.001235246 -2.10429E-005 23016.151 -0.01125629 -5.69069444-4.57122605 -0.001235246 -0.0026789723 23016.151 -0.01391422 -8.425097862.36339815 -0.001235246 0.0012118896 1465.63692 0.03097664 2.360103225.43271084 -2.54608138

1.10608492 -0.009391257 61.582539 0.10460874 0.943361021.65694665 -0.009391257 -0.0032291148 332.800651 0.04437963 1.04260815-1.95289733 -0.009391257 0.0012118896 660.890184 -0.05117937 -2.69565303

Page 4: Hardy Crosss

-1.00224671 -0.009391257 0.0030695242 40.8062639 -0.14132173 -1.090846421.00660096 -0.009391257 41.5514665 0.12460874 0.879927021.05814985 -0.009391257 51.1838338 0.11360874 0.913481951.87263833 -0.00712131

1.26138955 -0.00121189 -0.0032291148 106.577029 0.086559 1.149816422.88654291 -0.00121189 -0.0006989236 3377.17554 0.02008919 2.43970298-2.36339815 -0.00121189 0.0012352459 1465.63692 -0.03097664 -2.36010322-1.67413488 -0.00121189 -0.0026789723 347.451673 -0.05989086 -1.89578381-1.35979216 -0.00121189 0.0030695242 145.832046 -0.07814237 -1.301925041.95289733 -0.00121189 0.0093912573 660.890184 0.05117937 2.695653030.70350459 0.72736037

1.00224671 -0.003069524 0.0093912573 40.8062639 0.14132173 1.090846421.35979216 -0.003069524 0.0012118896 145.832046 0.07814237 1.301925044.57122605 -0.003069524 -0.0026789723 23016.151 0.0042515 0.93856629-2.20194093 -0.003069524 1090.77635 -0.03806952 -2.57267289-2.00788982 -0.003069524 742.124825 -0.04406952 -2.294970280.66192408 -0.003069524 7.22110008 0.27193048 0.648313263.38535825 -0.88799217

1.67413488 0.0026789723 0.0012118896 347.451673 0.05989086 1.895783814.57122605 0.0026789723 0.0012352459 23016.151 0.01391422 8.42509786-4.11021826 0.0026789723 -2.10429E-005 14767.2762 -0.00934207 -2.58577459-2.6186428 0.0026789723 2248.85055 -0.02332103 -2.14122133-2.0988489 0.0026789723 892.897769 -0.03532103 -1.8332067-4.57122605 0.0026789723 0.0030695242 23016.151 -0.0042515 -0.93856629-7.15357509 2.82211276

4.57122605 2.10429E-005 0.0012352459 23016.151 0.01125629 5.690694444.86085078 2.10429E-005 29744.687 0.00902104 4.881908619.22369627 2.10429E-005 431274.272 0.00302104 9.34380921-17.5024037 2.10429E-005 6253133.46 -0.00097896 -16.826788-6.15722379 2.10429E-005 79804.4253 -0.00597896 -6.117312364.11021826 2.10429E-005 -0.0026789723 14767.2762 0.00934207 2.58577459-0.89363618 -0.44191351

Page 5: Hardy Crosss

a*|Q|^N-1 a*Q*|Q|^N-1 dQ otros cir. a Q(m^3/s)

5624.94325 -25.8791944 0.00124043 548337.057 -0.00336036111.347084 -2.29383812 0.00124043 3030.84434 -0.0193603621.9765722 -1.43179634 0.00124043 -0.00035541 224.549935 -0.06426601135.406857 -3.09132593 0.00124043 -0.00036262 3377.17554 -0.0219521200.522795 4.09050619 0.00124043 5504.05579 0.021639641366.32431 11.4760419 0.00124043 79804.4253 0.009639647460.52087 -17.1296067

116.549723 2.86132356 0.00035541 2732.58589 0.02490565568.069571 5.42520024 0.00035541 29744.687 0.009905651719.10727 -5.93050901 0.00035541 214113.744 -0.003094352011.34377 -8.34443075 0.00035541 -0.0003315 214113.744 -0.0041247834.132345 1.61518094 0.00035541 -0.00036262 457.819487 0.0473139121.9765722 1.43179634 0.00035541 -0.00124043 224.549935 0.064266014471.17926 -2.94143867

135.406857 3.09132593 0.00036262 -0.00124043 3377.17554 0.021952134.132345 -1.61518094 0.00036262 -0.00035541 457.819487 -0.0473139125.1853324 -1.47258157 0.00036262 -0.0003315 282.155703 -0.0584386913.2836156 -1.14981642 0.00036262 0.00125987 106.577029 -0.0849365123.4929448 -1.04260815 0.00036262 -3.562E-005 332.800651 -0.0440526337.7265664 2.00815173 0.00036262 457.819487 0.05359174269.227661 -0.18070942 0.00036262

2011.34377 8.34443075 0.0003315 -0.00035541 214113.744 0.00412478429.788172 -3.99749261 0.0003315 23016.151 -0.00896957209.117221 -3.19971857 0.0003315 7331.47558 -0.0149695755.0413606 -1.93007102 0.0003315 -0.00058214 952.780298 -0.03531646121.443591 -2.43970298 0.0003315 0.00125987 3377.17554 -0.0184978225.1853324 1.47258157 0.0003315 -0.00036262 282.155703 0.058438692851.91945 -1.74997285 0.0003315

55.0413606 1.93007102 0.00058214 -0.0003315 952.780298 0.03531646277.17444 3.26088912 0.00058214 12153.1028 0.01234689843.41133 4.01864756 0.00058214 79804.4253 0.00534689505.556895 -5.69069444 0.00058214 -1.055E-005 23016.151 -0.0106847605.502785 -8.42509786 0.00058214 0.0011926 23016.151 -0.0121394876.1897655 2.36010322 0.00058214 0.00125987 1465.63692 0.032818652362.87658 -2.54608138

9.01799403 0.94336102 3.5622E-005 61.582539 0.1046443623.4929448 1.04260815 3.5622E-005 -0.00036262 332.800651 0.0440526352.6706982 -2.69565303 3.5622E-005 0.00125987 660.890184 -0.04988388

Page 6: Hardy Crosss

7.71888649 -1.09084642 3.5622E-005 -0.00130655 40.8062639 -0.142592667.06151916 0.87992702 3.5622E-005 41.5514665 0.124644368.0405955 0.91348195 3.5622E-005 51.1838338 0.11364436108.002638 -0.00712131

13.2836156 1.14981642 -0.00125987 -0.00036262 106.577029 0.08493651121.443591 2.43970298 -0.00125987 -0.0003315 3377.17554 0.0184978276.1897655 -2.36010322 -0.00125987 -0.00058214 1465.63692 -0.0328186531.6539744 -1.89578381 -0.00125987 0.0011926 347.451673 -0.0599581316.6609371 -1.30192504 -0.00125987 -0.00130655 145.832046 -0.0807087852.6706982 2.69565303 -0.00125987 -3.562E-005 660.890184 0.04988388311.902582 0.72736037

7.71888649 1.09084642 0.00130655 -3.562E-005 40.8062639 0.1425926616.6609371 1.30192504 0.00130655 0.00125987 145.832046 0.08070878220.761027 0.93856629 0.00130655 0.0011926 23016.151 0.0067506567.5782781 -2.57267289 0.00130655 1090.77635 -0.0367629852.0761303 -2.29497028 0.00130655 742.124825 -0.042762982.38411402 0.64831326 0.00130655 7.22110008 0.27323702367.179373 -0.88799217

31.6539744 1.89578381 -0.0011926 0.00125987 347.451673 0.05995813605.502785 8.42509786 -0.0011926 -0.00058214 23016.151 0.01213948276.788165 -2.58577459 -0.0011926 -1.055E-005 14767.2762 -0.0105452291.81505 -2.14122133 -0.0011926 2248.85055 -0.02451362

51.9012841 -1.8332067 -0.0011926 892.897769 -0.03651362220.761027 -0.93856629 -0.0011926 -0.00130655 23016.151 -0.006750651278.42229 2.82211276

505.556895 5.69069444 1.0551E-005 -0.00058214 23016.151 0.0106847541.168982 4.88190861 1.0551E-005 29744.687 0.009031593092.90847 9.34380921 1.0551E-005 431274.272 0.0030315917188.4838 -16.826788 1.0551E-005 6253133.46 -0.000968411023.14037 -6.11731236 1.0551E-005 79804.4253 -0.00596841276.788165 2.58577459 1.0551E-005 0.0011926 14767.2762 0.0105452222628.0466 -0.44191351

Page 7: Hardy Crosss

H(m) a*|Q|^N-1 a*Q*|Q|^N-1 dQ otros cir. a

-14.4673345 4305.28876 -14.4673345 0.00012082 548337.057-2.04475146 105.615345 -2.04475146 0.00012082 3030.84434-1.39600327 21.7222633 -1.39600327 0.00012082 -0.00016862 224.549935-2.87492067 130.963352 -2.87492067 0.00012082 -0.00064526 3377.175544.56279032 210.85337 4.56279032 0.00012082 5504.0557914.8089158 1536.25249 14.8089158 0.00012082 79804.4253-1.41130375 6310.69558 -1.41130375

2.93846968 117.984057 2.93846968 0.00016862 2732.585895.80482105 586.011092 5.80482105 0.00016862 29744.687-4.84940487 1567.18071 -4.84940487 0.00016862 214113.744-8.25563884 2001.47553 -8.25563884 0.00016862 -0.00021734 214113.7441.61472538 34.1279186 1.61472538 0.00016862 -0.00064526 457.8194871.39600327 21.7222633 1.39600327 0.00016862 -0.00012082 224.549935-1.35102432 4328.50157 -1.35102432

2.87492067 130.963352 2.87492067 0.00064526 -0.00012082 3377.17554-1.61472538 34.1279186 -1.61472538 0.00064526 -0.00016862 457.819487-1.47113118 25.1739249 -1.47113118 0.00064526 -0.00021734 282.155703-1.11024121 13.0714252 -1.11024121 0.00064526 -0.00023484 106.577029-1.02843299 23.345554 -1.02843299 0.00064526 0.00044018 332.8006512.03354772 37.9451726 2.03354772 0.00064526 457.819487-0.31606237 264.627347 -0.31606237 0.00064526

8.25563884 2001.47553 8.25563884 0.00021734 -0.00016862 214113.744-3.73777592 416.717254 -3.73777592 0.00021734 23016.151-3.07258586 205.255408 -3.07258586 0.00021734 7331.47558-1.95568357 55.3759736 -1.95568357 0.00021734 0.00032049 952.780298-2.09408199 113.206974 -2.09408199 0.00021734 -0.00023484 3377.175541.47113118 25.1739249 1.47113118 0.00021734 -0.00064526 282.155703-1.13335732 2817.20507 -1.13335732 0.00021734

1.95568357 55.3759736 1.95568357 -0.00032049 -0.00021734 952.7802983.56582714 288.803657 3.56582714 -0.00032049 12153.10284.97442024 930.338892 4.97442024 -0.00032049 79804.4253-5.16739916 483.6259 -5.16739916 -0.00032049 2.6416E-006 23016.151-6.54466443 539.122083 -6.54466443 -0.00032049 -0.00051784 23016.1512.62642941 80.0285735 2.62642941 -0.00032049 -0.00023484 1465.636921.41029677 2377.29508 1.41029677

0.94395572 9.02060727 0.94395572 -0.00044018 61.5825391.02843299 23.345554 1.02843299 -0.00044018 -0.00064526 332.800651-2.5707135 51.5339526 -2.5707135 -0.00044018 -0.00023484 660.890184

Page 8: Hardy Crosss

-1.10907439 7.7779208 -1.10907439 -0.00044018 0.00088563 40.80626390.88039269 7.06323702 0.88039269 -0.00044018 41.55146650.91401218 8.04274094 0.91401218 -0.00044018 51.18383380.08700569 106.784013 0.08700569

1.11024121 13.0714252 1.11024121 0.00023484 -0.00064526 106.5770292.09408199 113.206974 2.09408199 0.00023484 -0.00021734 3377.17554-2.62642941 80.0285735 -2.62642941 0.00023484 0.00032049 1465.63692-1.89972708 31.6842279 -1.89972708 0.00023484 -0.00051784 347.451673-1.38217585 17.1254715 -1.38217585 0.00023484 0.00088563 145.8320462.5707135 51.5339526 2.5707135 0.00023484 0.00044018 660.890184

-0.13329564 306.650625 -0.13329564

1.10907439 7.7779208 1.10907439 -0.00088563 0.00044018 40.80626391.38217585 17.1254715 1.38217585 -0.00088563 -0.00023484 145.8320462.20877181 327.194165 2.20877181 -0.00088563 -0.00051784 23016.151-2.4116313 65.5994526 -2.4116313 -0.00088563 1090.77635-2.17061969 50.7593189 -2.17061969 -0.00088563 742.1248250.65409082 2.39385871 0.65409082 -0.00088563 7.221100080.77186189 470.850187 0.77186189

1.89972708 31.6842279 1.89972708 0.00051784 -0.00023484 347.4516736.54466443 539.122083 6.54466443 0.00051784 0.00032049 23016.151-3.23575964 306.846155 -3.23575964 0.00051784 2.6416E-006 14767.2762-2.3483019 95.7957852 -2.3483019 0.00051784 2248.85055-1.9494219 53.3888905 -1.9494219 0.00051784 892.897769-2.20877181 327.194165 -2.20877181 0.00051784 0.00088563 23016.151-1.29786375 1354.03131 -1.29786375

5.16739916 483.6259 5.16739916 -2.642E-006 0.00032049 23016.1514.89248261 541.707564 4.89248261 -2.642E-006 29744.6879.40430178 3102.09837 9.40430178 -2.642E-006 431274.272-16.4926464 17030.7091 -16.4926464 -2.642E-006 6253133.46-6.09734599 1021.6037 -6.09734599 -2.642E-006 79804.42533.23575964 306.846155 3.23575964 -2.642E-006 -0.00051784 14767.27620.10995078 22486.5908 0.10995078

Page 9: Hardy Crosss

Q(m^3/s) H(m) a*|Q|^N-1 a*Q*|Q|^N-1 dQ otros cir.

-0.00323954 -13.5192699 4173.20163 -13.5192699 1.5460E-005-0.01923954 -2.02119472 105.054191 -2.02119472 1.5460E-005-0.06431382 -1.397926 21.7360131 -1.397926 1.5460E-005 -0.00010863-0.02247654 -3.00334163 133.621193 -3.00334163 1.5460E-005 -7.275E-0050.02176046 4.61005689 211.854791 4.61005689 1.5460E-0050.00976046 15.1543095 1552.62309 15.1543095 1.5460E-005

-0.17736579 6198.09091 -0.17736579

0.02507427 2.97540126 118.663504 2.97540126 0.000108630.01007427 5.98905225 594.489689 5.98905225 0.00010863-0.00292573 -4.37162524 1494.20207 -4.37162524 0.00010863-0.00417349 -8.43702962 2021.57486 -8.43702962 0.00010863 -0.000128640.04683728 1.58474532 33.8351259 1.58474532 0.00010863 -7.275E-0050.06431382 1.397926 21.7360131 1.397926 0.00010863 -1.546E-005

-0.86153003 4284.50126 -0.86153003

0.02247654 3.00334163 133.621193 3.00334163 7.2746E-005 -1.546E-005-0.04683728 -1.58474532 33.8351259 -1.58474532 7.2746E-005 -0.00010863-0.05801078 -1.45125384 25.0169702 -1.45125384 7.2746E-005 -0.00012864-0.08452609 -1.10033146 13.017655 -1.10033146 7.2746E-005 4.5136E-005-0.04296719 -0.98202064 22.8551297 -0.98202064 7.2746E-005 -0.000189150.05423699 2.07910025 38.3336197 2.07910025 7.2746E-005

-0.03590937 266.679694 -0.03590937 7.2746E-005

0.00417349 8.43702962 2021.57486 8.43702962 0.00012864 -0.00010863-0.00875223 -3.57186176 408.108667 -3.57186176 0.00012864-0.01475223 -2.99052241 202.716606 -2.99052241 0.00012864-0.03477863 -1.90091238 54.6574866 -1.90091238 0.00012864 -0.00013308-0.01851531 -2.09774956 113.298086 -2.09774956 0.00012864 4.5136E-0050.05801078 1.45125384 25.0169702 1.45125384 0.00012864 -7.275E-005

-0.67276265 2825.37268 -0.67276265 0.00012864

0.03477863 1.90091238 54.6574866 1.90091238 0.00013308 -0.000128640.0120264 3.39639322 282.411563 3.39639322 0.000133080.0050264 4.43662874 882.666021 4.43662874 0.00013308

-0.01100256 -5.45553507 495.842504 -5.45553507 0.00013308 6.0330E-008-0.01297782 -7.40574916 570.646717 -7.40574916 0.00013308 0.00032340.03226331 2.54475937 78.8747035 2.54475937 0.00013308 4.5136E-005

-0.58259053 2365.099 -0.58259053

0.10420418 0.93661905 8.98830591 0.93661905 0.000189150.04296719 0.98202064 22.8551297 0.98202064 0.00018915 -7.275E-005-0.0505589 -2.63547384 52.1268021 -2.63547384 0.00018915 4.5136E-005

Page 10: Hardy Crosss

-0.14214721 -1.10266992 7.75723903 -1.10266992 0.00018915 -0.000313610.12420418 0.87464634 7.04200408 0.87464634 0.000189150.11320418 0.90746991 8.0162226 0.90746991 0.00018915

-0.03738783 106.785703 -0.03738783

0.08452609 1.10033146 13.017655 1.10033146 -4.514E-005 -7.275E-0050.01851531 2.09774956 113.298086 2.09774956 -4.514E-005 -0.00012864-0.03226331 -2.54475937 78.8747035 -2.54475937 -4.514E-005 -0.00013308-0.06024113 -1.91635774 31.8114495 -1.91635774 -4.514E-005 0.0003234-0.07958831 -1.34686798 16.9229365 -1.34686798 -4.514E-005 -0.000313610.0505589 2.63547384 52.1268021 2.63547384 -4.514E-005 -0.00018915

0.02556977 306.051632 0.02556977

0.14214721 1.10266992 7.75723903 1.10266992 0.00031361 -0.000189150.07958831 1.34686798 16.9229365 1.34686798 0.00031361 4.5136E-0050.00534718 1.43480176 268.328618 1.43480176 0.00031361 0.0003234-0.03764861 -2.52026907 66.9418975 -2.52026907 0.00031361-0.04364861 -2.25456164 51.6525473 -2.25456164 0.000313610.27235139 0.650172 2.38725415 0.650172 0.00031361

-0.24031905 413.990492 -0.24031905

0.06024113 1.91635774 31.8114495 1.91635774 -0.0003234 4.5136E-0050.01297782 7.40574916 570.646717 7.40574916 -0.0003234 -0.00013308-0.01002474 -2.94636546 293.909459 -2.94636546 -0.0003234 6.0330E-008-0.02399579 -2.2573061 94.0709368 -2.2573061 -0.0003234-0.03599579 -1.8985567 52.7438595 -1.8985567 -0.0003234-0.00534718 -1.43480176 268.328618 -1.43480176 -0.0003234 -0.00031361

0.78507688 1311.51104 0.78507688

0.01100256 5.45553507 495.842504 5.45553507 -6.033E-008 -0.000133080.00902895 4.8898342 541.572727 4.8898342 -6.033E-0080.00302895 9.38913934 3099.79793 9.38913934 -6.033E-008-0.00097105 -16.5760167 17070.2353 -16.5760167 -6.033E-008-0.00597105 -6.10234218 1021.98848 -6.10234218 -6.033E-0080.01002474 2.94636546 293.909459 2.94636546 -6.033E-008 0.0003234

0.00251521 22523.3464 0.00251521

Page 11: Hardy Crosss

a Q(m^3/s) H(m) a*|Q|^N-1 a*Q*|Q|^N-1 dQ

548337.057 -0.00322408 -13.4000912 4156.24751 -13.4000912 1.9739E-0063030.84434 -0.01922408 -2.0181895 104.982349 -2.0181895 1.9739E-006224.549935 -0.06440699 -1.401677 21.762808 -1.401677 1.9739E-0063377.17554 -0.02253382 -3.01752584 133.910958 -3.01752584 1.9739E-0065504.05579 0.02177592 4.6161212 211.982872 4.6161212 1.9739E-00679804.4253 0.00977592 15.1987696 1554.71566 15.1987696 1.9739E-006

-0.02259274 6183.60216 -0.02259274

2732.58589 0.02518291 2.99930616 119.100867 2.99930616 6.2377E-00529744.687 0.01018291 6.10914078 599.94069 6.10914078 6.2377E-005214113.744 -0.00281709 -4.07592595 1446.85576 -4.07592595 6.2377E-005214113.744 -0.0041935 -8.51204945 2029.81928 -8.51204945 6.2377E-005457.819487 0.04687317 1.58699362 33.8571866 1.58699362 6.2377E-005224.549935 0.06440699 1.401677 21.762808 1.401677 6.2377E-005

-0.49085784 4251.33659 -0.49085784

3377.17554 0.02253382 3.01752584 133.910958 3.01752584 4.7512E-005457.819487 -0.04687317 -1.58699362 33.8571866 -1.58699362 4.7512E-005282.155703 -0.05806667 -1.45384318 25.0374816 -1.45384318 4.7512E-005106.577029 -0.08440821 -1.09749268 13.0022036 -1.09749268 4.7512E-005332.800651 -0.04308359 -0.98695083 22.9078117 -0.98695083 4.7512E-005457.819487 0.05430974 2.08426496 38.3773701 2.08426496 4.7512E-005

-0.02348952 267.093012 -0.02348952 4.7512E-005

214113.744 0.0041935 8.51204945 2029.81928 8.51204945 7.9265E-00523016.151 -0.00862359 -3.4752933 402.998392 -3.4752933 7.9265E-0057331.47558 -0.01462359 -2.94243179 201.211303 -2.94243179 7.9265E-005952.780298 -0.03478307 -1.90136134 54.6634211 -1.90136134 7.9265E-0053377.17554 -0.01834154 -2.06145148 112.392522 -2.06145148 7.9265E-005282.155703 0.05806667 1.45384318 25.0374816 1.45384318 7.9265E-005

-0.41464528 2826.1224 -0.41464528 7.9265E-005

952.780298 0.03478307 1.90136134 54.6634211 1.90136134 -7.541E-00512153.1028 0.01215947 3.46628651 285.068783 3.46628651 -7.541E-00579804.4253 0.00515947 4.65650046 902.514539 4.65650046 -7.541E-00523016.151 -0.01086942 -5.33396927 490.731839 -5.33396927 -7.541E-00523016.151 -0.01252134 -6.93081975 553.520431 -6.93081975 -7.541E-0051465.63692 0.03244153 2.57083933 79.245319 2.57083933 -7.541E-005

0.33019863 2365.74433 0.33019863

61.582539 0.10439333 0.93976846 9.00218862 0.93976846 1.6506E-005332.800651 0.04308359 0.98695083 22.9078117 0.98695083 1.6506E-005660.890184 -0.05032461 -2.61291273 51.9211687 -2.61291273 1.6506E-005

Page 12: Hardy Crosss

40.8062639 -0.14227167 -1.10445766 7.76301862 -1.10445766 1.6506E-00541.5514665 0.12439333 0.87711349 7.05112946 0.87711349 1.6506E-00551.1838338 0.11339333 0.91027854 8.02761968 0.91027854 1.6506E-005

-0.00325906 106.672937 -0.00325906

106.577029 0.08440821 1.09749268 13.0022036 1.09749268 0.000101093377.17554 0.01834154 2.06145148 112.392522 2.06145148 0.000101091465.63692 -0.03244153 -2.57083933 79.245319 -2.57083933 0.00010109347.451673 -0.05996287 -1.90000522 31.6863605 -1.90000522 0.00010109145.832046 -0.07994706 -1.35812706 16.9878297 -1.35812706 0.00010109660.890184 0.05032461 2.61291273 51.9211687 2.61291273 0.00010109

-0.05711471 305.235404 -0.05711471

40.8062639 0.14227167 1.10445766 7.76301862 1.10445766 -0.00021483145.832046 0.07994706 1.35812706 16.9878297 1.35812706 -0.0002148323016.151 0.00598419 1.76713342 295.300466 1.76713342 -0.000214831090.77635 -0.03733499 -2.48154748 66.4670651 -2.48154748 -0.00021483742.124825 -0.04333499 -2.22466934 51.3365558 -2.22466934 -0.000214837.22110008 0.27266501 0.65155846 2.38959327 0.65155846 -0.00021483

0.17505978 440.244528 0.17505978

347.451673 0.05996287 1.90000522 31.6863605 1.90000522 0.0001238923016.151 0.01252134 6.93081975 553.520431 6.93081975 0.0001238914767.2762 -0.01034807 -3.12467852 301.957511 -3.12467852 0.000123892248.85055 -0.02431918 -2.31394013 95.1487657 -2.31394013 0.00012389892.897769 -0.03631918 -1.93025007 53.1468491 -1.93025007 0.0001238923016.151 -0.00598419 -1.76713342 295.300466 -1.76713342 0.00012389

-0.30517718 1330.76038 -0.30517718

23016.151 0.01086942 5.33396927 490.731839 5.33396927 -1.363E-00629744.687 0.00902889 4.88977372 541.569648 4.88977372 -1.363E-006431274.272 0.00302889 9.38879319 3099.74539 9.38879319 -1.363E-0066253133.46 -0.00097111 -16.577923 17071.1378 -16.577923 -1.363E-00679804.4253 -0.00597111 -6.10245631 1021.99726 -6.10245631 -1.363E-00614767.2762 0.01034807 3.12467852 301.957511 3.12467852 -1.363E-006

0.0568354 22527.1394 0.0568354

Page 13: Hardy Crosss

otros cir. a Q(m^3/s) H(m) a*|Q|^N-1 a*Q*|Q|^N-1

548337.057 -0.00322211 -13.3849097 4154.08198 -13.38490973030.84434 -0.01922211 -2.01780594 104.973176 -2.01780594

-6.238E-005 224.549935 -0.06446739 -1.40411118 21.7801756 -1.40411118-4.751E-005 3377.17554 -0.02257936 -3.02882309 134.14122 -3.02882309

5504.05579 0.02177789 4.61689574 211.999224 4.6168957479804.4253 0.00977789 15.2044505 1554.9828 15.2044505

-0.01430367 6181.95857 -0.01430367

2732.58589 0.02524528 3.013072 119.351872 3.01307229744.687 0.01024528 6.17859021 603.066712 6.17859021214113.744 -0.00275472 -3.91044813 1419.54715 -3.91044813

-7.926E-005 214113.744 -0.00421039 -8.57560857 2036.77354 -8.57560857-4.751E-005 457.819487 0.04688803 1.58792531 33.8663235 1.58792531-1.974E-006 224.549935 0.06446739 1.40411118 21.7801756 1.40411118

-0.302358 4234.38577 -0.302358

-1.974E-006 3377.17554 0.02257936 3.02882309 134.14122 3.02882309-6.238E-005 457.819487 -0.04688803 -1.58792531 33.8663235 -1.58792531-7.926E-005 282.155703 -0.05809842 -1.45531507 25.0491323 -1.45531507-0.00010109 106.577029 -0.08446178 -1.09878248 13.0092266 -1.09878248-1.651E-005 332.800651 -0.04305259 -0.98563648 22.893781 -0.98563648

457.819487 0.05435725 2.08764131 38.4059397 2.08764131-0.01119494 267.365624 -0.01119494

-6.238E-005 214113.744 0.00421039 8.57560857 2036.77354 8.5756085723016.151 -0.00854433 -3.41639721 399.843951 -3.416397217331.47558 -0.01454433 -2.91297842 200.282801 -2.91297842

7.5405E-005 952.780298 -0.0346284 -1.88574116 54.4564985 -1.88574116-0.00010109 3377.17554 -0.01836336 -2.06599423 112.506324 -2.06599423-4.751E-005 282.155703 0.05809842 1.45531507 25.0491323 1.45531507

-0.25018738 2828.91224 -0.25018738

-7.926E-005 952.780298 0.0346284 1.88574116 54.4564985 1.8857411612153.1028 0.01208407 3.42660307 283.563679 3.4266030779804.4253 0.00508407 4.53131597 891.277429 4.53131597

1.3630E-006 23016.151 -0.01094346 -5.4014199 493.575164 -5.4014199-0.00012389 23016.151 -0.01272064 -7.13639545 561.009067 -7.13639545-0.00010109 1465.63692 0.03226503 2.54501047 78.8782817 2.54501047

-0.14914468 2362.76012 -0.14914468

61.582539 0.10440984 0.94004352 9.00339986 0.94004352-4.751E-005 332.800651 0.04305259 0.98563648 22.893781 0.98563648-0.00010109 660.890184 -0.0504092 -2.62104758 51.9954241 -2.62104758

Page 14: Hardy Crosss

0.00021483 40.8062639 -0.14204034 -1.10113588 7.75227555 -1.1011358841.5514665 0.12440984 0.87732892 7.05192566 0.8773289251.1838338 0.11340984 0.91052382 8.02861407 0.91052382

-0.00865072 106.72542 -0.00865072

-4.751E-005 106.577029 0.08446178 1.09878248 13.0092266 1.09878248-7.926E-005 3377.17554 0.01836336 2.06599423 112.506324 2.065994237.5405E-005 1465.63692 -0.03226503 -2.54501047 78.8782817 -2.54501047-0.00012389 347.451673 -0.05998568 -1.90134287 31.6966147 -1.901342870.00021483 145.832046 -0.07963115 -1.34820998 16.9306866 -1.34820998-1.651E-005 660.890184 0.0504092 2.62104758 51.9954241 2.62104758

-0.00873902 305.016557 -0.00873902

-1.651E-005 40.8062639 0.14204034 1.10113588 7.75227555 1.10113588-0.00010109 145.832046 0.07963115 1.34820998 16.9306866 1.34820998-0.00012389 23016.151 0.00564547 1.5864614 281.014966 1.5864614

1090.77635 -0.03754982 -2.50804228 66.7923921 -2.50804228742.124825 -0.04354982 -2.24512597 51.5530486 -2.245125977.22110008 0.27245018 0.65060858 2.387991 0.65060858

-0.06675241 426.43136 -0.06675241

-0.00010109 347.451673 0.05998568 1.90134287 31.6966147 1.901342877.5405E-005 23016.151 0.01272064 7.13639545 561.009067 7.136395451.3630E-006 14767.2762 -0.01022282 -3.05503094 298.844312 -3.05503094

2248.85055 -0.02419529 -2.29216741 94.7361035 -2.29216741892.897769 -0.03619529 -1.91807984 52.9925272 -1.91807984

0.00021483 23016.151 -0.00564547 -1.5864614 281.014966 -1.58646140.18599873 1320.29359 0.18599873

7.5405E-005 23016.151 0.01094346 5.4014199 493.575164 5.401419929744.687 0.00902753 4.88840744 541.500072 4.88840744431274.272 0.00302753 9.3809741 3098.55827 9.38097416253133.46 -0.00097247 -16.6210187 17091.5263 -16.621018779804.4253 -0.00597247 -6.10503503 1022.19579 -6.10503503

-0.00012389 14767.2762 0.01022282 3.05503094 298.844312 3.05503094-0.00022139 22546.1999 -0.00022139

Page 15: Hardy Crosss

dQ otros cir. a Q(m^3/s) H(m) a*|Q|^N-1

0.00000125 548337.057 -0.00322086 -13.3752997 4152.710490.00000125 3030.84434 -0.01922086 -2.01756307 104.9673660.00000125 -3.858E-005 224.549935 -0.06450472 -1.40561638 21.79090690.00000125 -2.262E-005 3377.17554 -0.02260073 -3.03413152 134.2492570.00000125 5504.05579 0.02177914 4.61738627 212.0095790.00000125 79804.4253 0.00977914 15.2080486 1555.15197

-0.00717578 6180.87957

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-0.18216114 4223.34628

2.2621E-005 -0.00000125 3377.17554 0.02260073 3.03413152 134.2492572.2621E-005 -3.858E-005 457.819487 -0.04690399 -1.58892567 33.87613072.2621E-005 -4.778E-005 282.155703 -0.05812358 -1.45648177 25.05836282.2621E-005 -1.548E-005 106.577029 -0.08445464 -1.0986105 13.00829052.2621E-005 -4.379E-005 332.800651 -0.04307376 -0.98653375 22.90336052.2621E-005 457.819487 0.05437987 2.0892497 38.41954062.2621E-005 -0.00717048 267.514942

4.7779E-005 -3.858E-005 214113.744 0.00421959 8.6103353 2040.561364.7779E-005 23016.151 -0.00849655 -3.3811194 397.9404064.7779E-005 7331.47558 -0.01449655 -2.89529028 199.7227524.7779E-005 -3.410E-005 952.780298 -0.03461472 -1.88436275 54.43819414.7779E-005 -1.548E-005 3377.17554 -0.01833106 -2.05927269 112.3378924.7779E-005 -2.262E-005 282.155703 0.05812358 1.45648177 25.05836284.7779E-005 -0.15322806 2830.05897

3.4102E-005 -4.778E-005 952.780298 0.03461472 1.88436275 54.43819413.4102E-005 12153.1028 0.01211817 3.44452397 284.2445393.4102E-005 79804.4253 0.00511817 4.58773666 896.3624913.4102E-005 -5.305E-009 23016.151 -0.01090936 -5.37031007 492.2661533.4102E-005 7.6108E-005 23016.151 -0.01261043 -7.02237177 556.8700713.4102E-005 -1.548E-005 1465.63692 0.03228366 2.54773024 78.9170251

0.07167179 2363.09847

4.3790E-005 61.582539 0.10445363 0.94077343 9.006613224.3790E-005 -2.262E-005 332.800651 0.04307376 0.98653375 22.90336054.3790E-005 -1.548E-005 660.890184 -0.05038089 -2.61832342 51.9705717

Page 16: Hardy Crosss

4.3790E-005 -8.457E-005 40.8062639 -0.14208112 -1.1017211 7.754169514.3790E-005 41.5514665 0.12445363 0.87790061 7.054037934.3790E-005 51.1838338 0.11345363 0.91117469 8.03125213

-0.00366204 106.720005

1.5479E-005 -2.262E-005 106.577029 0.08445464 1.0986105 13.00829051.5479E-005 -4.778E-005 3377.17554 0.01833106 2.05927269 112.3378921.5479E-005 -3.410E-005 1465.63692 -0.03228366 -2.54773024 78.91702511.5479E-005 7.6108E-005 347.451673 -0.05989409 -1.8959729 31.65542591.5479E-005 -8.457E-005 145.832046 -0.07970024 -1.35037598 16.94318671.5479E-005 -4.379E-005 660.890184 0.05038089 2.61832342 51.9705717

-0.01787251 304.832392

8.4569E-005 -4.379E-005 40.8062639 0.14208112 1.1017211 7.754169518.4569E-005 -1.548E-005 145.832046 0.07970024 1.35037598 16.94318678.4569E-005 7.6108E-005 23016.151 0.00580615 1.67104994 287.8070368.4569E-005 1090.77635 -0.03746525 -2.4975968 66.66435598.4569E-005 742.124825 -0.04346525 -2.23706266 51.46784238.4569E-005 7.22110008 0.27253475 0.65098244 2.38862178

0.03947 433.025212

-7.611E-005 -1.548E-005 347.451673 0.05989409 1.8959729 31.6554259-7.611E-005 -3.410E-005 23016.151 0.01261043 7.02237177 556.870071-7.611E-005 -5.305E-009 14767.2762 -0.01029893 -3.09726744 300.736773-7.611E-005 2248.85055 -0.0242714 -2.30553139 94.989643-7.611E-005 892.897769 -0.0362714 -1.92555194 53.0873379-7.611E-005 -8.457E-005 23016.151 -0.00580615 -1.67104994 287.807036

-0.08105604 1325.14629

5.3049E-009 -3.410E-005 23016.151 0.01090936 5.37031007 492.2661535.3049E-009 29744.687 0.00902753 4.88841276 541.5003425.3049E-009 431274.272 0.00302753 9.38100453 3098.562895.3049E-009 6253133.46 -0.00097247 -16.6208509 17091.4475.3049E-009 79804.4253 -0.00597247 -6.10502499 1022.195025.3049E-009 7.6108E-005 14767.2762 0.01029893 3.09726744 300.736773

0.01111889 22546.7081

Page 17: Hardy Crosss

a*Q*|Q|^N-1 dQ otros cir. a Q(m^3/s) H(m)

-13.3752997 6.272091E-007 548337.057 -0.00322023 -13.3704789-2.01756307 6.272091E-007 3030.84434 -0.01922023 -2.01744121-1.40561638 6.272091E-007 -2.330E-005 224.549935 -0.0645274 -1.4065311-3.03413152 6.272091E-007 -1.448E-005 3377.17554 -0.02261459 -3.037574984.61738627 6.272091E-007 5504.05579 0.02177977 4.6176324115.2080486 6.272091E-007 79804.4253 0.00977977 15.2098541-0.00717578 -0.00453969

3.02159991 0.000023302 2732.58589 0.02530716 3.02675656.22172141 0.000023302 29744.687 0.01030716 6.24784133-3.80968921 0.000023302 214113.744 -0.00269284 -3.74941275-8.6103353 0.000023302 -2.925E-005 214113.744 -0.00422554 -8.632817631.58892567 0.000023302 -1.448E-005 457.819487 0.04691281 1.589478841.40561638 0.000023302 -6.272E-007 224.549935 0.0645274 1.4065311-0.18216114 -0.11162261

3.03413152 1.448083E-005 -6.272E-007 3377.17554 0.02261459 3.03757498-1.58892567 1.448083E-005 -2.330E-005 457.819487 -0.04691281 -1.58947884-1.45648177 1.448083E-005 -2.925E-005 282.155703 -0.05813835 -1.45716692-1.0986105 1.448083E-005 -3.168E-005 106.577029 -0.08447184 -1.09902455-0.98653375 1.448083E-005 -1.854E-005 332.800651 -0.04307781 -0.986705782.0892497 1.448083E-005 457.819487 0.05439435 2.09027962

-0.00717048 1.448083E-005 -0.00452149

8.6103353 2.925071E-005 -2.330E-005 214113.744 0.00422554 8.63281763-3.3811194 2.925071E-005 23016.151 -0.0084673 -3.35960526-2.89529028 2.925071E-005 7331.47558 -0.0144673 -2.88448597-1.88436275 2.925071E-005 1.6386E-005 952.780298 -0.03456908 -1.87976679-2.05927269 2.925071E-005 -3.168E-005 3377.17554 -0.01833348 -2.059776841.45648177 2.925071E-005 -1.448E-005 282.155703 0.05813835 1.45716692-0.15322806 2.925071E-005 -0.09365031

1.88436275 -1.63855E-005 -2.925E-005 952.780298 0.03456908 1.879766793.44452397 -1.63855E-005 12153.1028 0.01210179 3.435907924.58773666 -1.63855E-005 79804.4253 0.00510179 4.5605874-5.37031007 -1.63855E-005 2.6642E-007 23016.151 -0.01092548 -5.38500677-7.02237177 -1.63855E-005 -3.305E-005 23016.151 -0.01265986 -7.073408782.54773024 -1.63855E-005 -3.168E-005 1465.63692 0.0322356 2.540714210.07167179 -0.04143923

0.94077343 1.853836E-005 61.582539 0.10447217 0.941082510.98653375 1.853836E-005 -1.448E-005 332.800651 0.04307781 0.98670578-2.61832342 1.853836E-005 -3.168E-005 660.890184 -0.05039402 -2.61958728

Page 18: Hardy Crosss

-1.1017211 1.853836E-005 4.9243E-005 40.8062639 -0.14201334 -1.100748430.87790061 1.853836E-005 41.5514665 0.12447217 0.878142680.91117469 1.853836E-005 51.1838338 0.11347217 0.9114503-0.00366204 -0.00295445

1.0986105 3.167511E-005 -1.448E-005 106.577029 0.08447184 1.099024552.05927269 3.167511E-005 -2.925E-005 3377.17554 0.01833348 2.05977684-2.54773024 3.167511E-005 1.6386E-005 1465.63692 -0.0322356 -2.54071421-1.8959729 3.167511E-005 -3.305E-005 347.451673 -0.05989546 -1.89605321-1.35037598 3.167511E-005 4.9243E-005 145.832046 -0.07961932 -1.347839322.61832342 3.167511E-005 -1.854E-005 660.890184 0.05039402 2.61958728-0.01787251 -0.00621808

1.1017211 -4.92433E-005 -1.854E-005 40.8062639 0.14201334 1.100748431.35037598 -4.92433E-005 -3.168E-005 145.832046 0.07961932 1.347839321.67104994 -4.92433E-005 -3.305E-005 23016.151 0.00572386 1.62747658-2.4975968 -4.92433E-005 1090.77635 -0.03751449 -2.50367661-2.23706266 -4.92433E-005 742.124825 -0.04351449 -2.241756190.65098244 -4.92433E-005 7.22110008 0.27248551 0.65076473

0.03947 -0.01860374

1.8959729 3.304571E-005 -3.168E-005 347.451673 0.05989546 1.896053217.02237177 3.304571E-005 1.6386E-005 23016.151 0.01265986 7.07340878-3.09726744 3.304571E-005 2.6642E-007 14767.2762 -0.01026562 -3.07874931-2.30553139 3.304571E-005 2248.85055 -0.02423835 -2.29972446-1.92555194 3.304571E-005 892.897769 -0.03623835 -1.92230597-1.67104994 3.304571E-005 4.9243E-005 23016.151 -0.00572386 -1.62747658-0.08105604 0.04120568

5.37031007 -2.66423E-007 1.6386E-005 23016.151 0.01092548 5.385006774.88841276 -2.66423E-007 29744.687 0.00902727 4.888145729.38100453 -2.66423E-007 431274.272 0.00302727 9.37947653-16.6208509 -2.66423E-007 6253133.46 -0.00097273 -16.6292805-6.10502499 -2.66423E-007 79804.4253 -0.00597273 -6.10552913.09726744 -2.66423E-007 -3.305E-005 14767.2762 0.01026562 3.078749310.01111889 -0.0034313

Page 19: Hardy Crosss

a*|Q|^N-1 a*Q*|Q|^N-1 dQ otros cir. a Q(m^3/s)

4152.0223 -13.3704789 3.9683E-007 548337.057 -0.00321984104.964451 -2.01744121 3.9683E-007 3030.84434 -0.0192198421.7974253 -1.4065311 3.9683E-007 -1.430E-005 224.549935 -0.0645413134.319284 -3.03757498 3.9683E-007 -9.128E-006 3377.17554 -0.02262332212.014775 4.61763241 3.9683E-007 5504.05579 0.021780161555.23685 15.2098541 3.9683E-007 79804.4253 0.009780166180.35508 -0.00453969

119.600781 3.0267565 1.4301E-005 2732.58589 0.02532146606.164963 6.24784133 1.4301E-005 29744.687 0.010321461392.3655 -3.74941275 1.4301E-005 214113.744 -0.002678542043.00923 -8.63281763 1.4301E-005 -1.787E-005 214113.744 -0.0042291133.8815523 1.58947884 1.4301E-005 -9.128E-006 457.819487 0.0469179821.7974253 1.4065311 1.4301E-005 -3.968E-007 224.549935 0.06454134216.81945 -0.11162261

134.319284 3.03757498 9.1280E-006 -3.968E-007 3377.17554 0.0226233233.8815523 -1.58947884 9.1280E-006 -1.430E-005 457.819487 -0.0469179825.0637815 -1.45716692 9.1280E-006 -1.787E-005 282.155703 -0.0581470913.0105442 -1.09902455 9.1280E-006 -1.102E-005 106.577029 -0.0844737322.9051965 -0.98670578 9.1280E-006 -1.495E-005 332.800651 -0.0430836438.4282468 2.09027962 9.1280E-006 457.819487 0.05440348267.608605 -0.00452149 9.1280E-006

2043.00923 8.63281763 1.7872E-005 -1.430E-005 214113.744 0.00422911396.77426 -3.35960526 1.7872E-005 23016.151 -0.00844942199.379752 -2.88448597 1.7872E-005 7331.47558 -0.0144494254.3771105 -1.87976679 1.7872E-005 -9.476E-006 952.780298 -0.03456069112.350536 -2.05977684 1.7872E-005 -1.102E-005 3377.17554 -0.0183266425.0637815 1.45716692 1.7872E-005 -9.128E-006 282.155703 0.058147092830.95467 -0.09365031 1.7872E-005

54.3771105 1.87976679 9.4756E-006 -1.787E-005 952.780298 0.03456069283.917433 3.43590792 9.4756E-006 12153.1028 0.01211126893.919836 4.5605874 9.4756E-006 79804.4253 0.00511126492.885056 -5.38500677 9.4756E-006 -8.221E-008 23016.151 -0.01091609558.727141 -7.07340878 9.4756E-006 1.6832E-005 23016.151 -0.0126335578.8170354 2.54071421 9.4756E-006 -1.102E-005 1465.63692 0.032234052362.64361 -0.04143923

9.00797352 0.94108251 1.4954E-005 61.582539 0.1044871222.9051965 0.98670578 1.4954E-005 -9.128E-006 332.800651 0.0430836451.9821036 -2.61958728 1.4954E-005 -1.102E-005 660.890184 -0.05039009

Page 20: Hardy Crosss

7.75102135 -1.10074843 1.4954E-005 -2.339E-005 40.8062639 -0.142021787.05493211 0.87814268 1.4954E-005 41.5514665 0.124487128.03236889 0.9114503 1.4954E-005 51.1838338 0.11348712106.733596 -0.00295445

13.0105442 1.09902455 1.1023E-005 -9.128E-006 106.577029 0.08447373112.350536 2.05977684 1.1023E-005 -1.787E-005 3377.17554 0.0183266478.8170354 -2.54071421 1.1023E-005 -9.476E-006 1465.63692 -0.0322340531.6560424 -1.89605321 1.1023E-005 1.6832E-005 347.451673 -0.059867616.9285465 -1.34783932 1.1023E-005 -2.339E-005 145.832046 -0.0796316951.9821036 2.61958728 1.1023E-005 -1.495E-005 660.890184 0.05039009304.744808 -0.00621808

7.75102135 1.10074843 2.3392E-005 -1.495E-005 40.8062639 0.1420217816.9285465 1.34783932 2.3392E-005 -1.102E-005 145.832046 0.07963169284.332107 1.62747658 2.3392E-005 1.6832E-005 23016.151 0.0057640866.7389148 -2.50367661 2.3392E-005 1090.77635 -0.037491151.5174597 -2.24175619 2.3392E-005 742.124825 -0.04349112.38825449 0.65076473 2.3392E-005 7.22110008 0.2725089429.656304 -0.01860374

31.6560424 1.89605321 -1.683E-005 -1.102E-005 347.451673 0.0598676558.727141 7.07340878 -1.683E-005 -9.476E-006 23016.151 0.01263355299.908772 -3.07874931 -1.683E-005 -8.221E-008 14767.2762 -0.0102825394.8795727 -2.29972446 -1.683E-005 2248.85055 -0.0242551853.0461755 -1.92230597 -1.683E-005 892.897769 -0.03625518284.332107 -1.62747658 -1.683E-005 -2.339E-005 23016.151 -0.005764081322.54981 0.04120568

492.885056 5.38500677 8.2205E-008 -9.476E-006 23016.151 0.01091609541.486743 4.88814572 8.2205E-008 29744.687 0.009027353098.33084 9.37947653 8.2205E-008 431274.272 0.0030273517095.4317 -16.6292805 8.2205E-008 6253133.46 -0.000972651022.23382 -6.1055291 8.2205E-008 79804.4253 -0.00597265299.908772 3.07874931 8.2205E-008 1.6832E-005 14767.2762 0.0102825322550.2769 -0.0034313

Page 21: Hardy Crosss

H(m) a*|Q|^N-1 a*Q*|Q|^N-1 dQ otros cir. a

-13.3674293 4151.58688 -13.3674293 2.4888E-007 548337.057-2.01736411 104.962607 -2.01736411 2.4888E-007 3030.84434-1.40709214 21.8014222 -1.40709214 2.4888E-007 -8.753E-006 224.549935-3.03974612 134.363414 -3.03974612 2.4888E-007 -5.498E-006 3377.175544.61778814 212.018062 4.61778814 2.4888E-007 5504.0557915.2109965 1555.29055 15.2109965 2.4888E-007 79804.4253-0.00284699 6180.02293 -0.00284699

3.02992319 119.658293 3.02992319 8.7525E-006 2732.585896.26389648 606.880607 6.26389648 8.7525E-006 29744.687-3.71263902 1386.07036 -3.71263902 8.7525E-006 214113.744-8.64632681 2044.47845 -8.64632681 8.7525E-006 -1.102E-005 214113.7441.58980327 33.8847316 1.58980327 8.7525E-006 -5.498E-006 457.8194871.40709214 21.8014222 1.40709214 8.7525E-006 -2.489E-007 224.549935-0.06825076 4212.77386 -0.06825076

3.03974612 134.363414 3.03974612 5.4976E-006 -2.489E-007 3377.17554-1.58980327 33.8847316 -1.58980327 5.4976E-006 -8.753E-006 457.819487-1.4575726 25.0669894 -1.4575726 5.4976E-006 -1.102E-005 282.155703-1.09907019 13.0107926 -1.09907019 5.4976E-006 -1.153E-005 106.577029-0.98695282 22.9078329 -0.98695282 5.4976E-006 -9.026E-006 332.8006512.09092894 38.4337345 2.09092894 5.4976E-006 457.819487-0.00272382 267.667495 -0.00272382 5.4976E-006

8.64632681 2044.47845 8.64632681 1.1021E-005 -8.753E-006 214113.744-3.34649143 396.061462 -3.34649143 1.1021E-005 23016.151-2.87789379 199.170132 -2.87789379 1.1021E-005 7331.47558-1.87892178 54.3658709 -1.87892178 1.1021E-005 3.1810E-006 952.780298-2.05835284 112.31482 -2.05835284 1.1021E-005 -1.153E-005 3377.175541.4575726 25.0669894 1.4575726 1.1021E-005 -5.498E-006 282.155703

-0.05776043 2831.45773 -0.05776043 1.1021E-005

1.87892178 54.3658709 1.87892178 -3.181E-006 -1.102E-005 952.7802983.4408893 284.106603 3.4408893 -3.181E-006 12153.10284.57627856 895.332545 4.57627856 -3.181E-006 79804.4253-5.37644002 492.524407 -5.37644002 -3.181E-006 1.6981E-008 23016.151-7.04622529 557.738927 -7.04622529 -3.181E-006 -9.325E-006 23016.1512.54048842 78.813815 2.54048842 -3.181E-006 -1.153E-005 1465.636920.01391274 2362.88217 0.01391274

0.94133187 9.00907081 0.94133187 9.0259E-006 61.5825390.98695282 22.9078329 0.98695282 9.0259E-006 -5.498E-006 332.800651-2.61920905 51.9786528 -2.61920905 9.0259E-006 -1.153E-005 660.890184

Page 22: Hardy Crosss

-1.10086949 7.75141327 -1.10086949 9.0259E-006 1.0473E-005 40.80626390.87833798 7.05565341 0.87833798 9.0259E-006 41.55146650.91167265 8.03326973 0.91167265 9.0259E-006 51.1838338-0.00178323 106.735893 -0.00178323

1.09907019 13.0107926 1.09907019 1.1533E-005 -5.498E-006 106.5770292.05835284 112.31482 2.05835284 1.1533E-005 -1.102E-005 3377.17554-2.54048842 78.813815 -2.54048842 1.1533E-005 3.1810E-006 1465.63692-1.89442134 31.6435134 -1.89442134 1.1533E-005 -9.325E-006 347.451673-1.34822693 16.9307845 -1.34822693 1.1533E-005 1.0473E-005 145.8320462.61920905 51.9786528 2.61920905 1.1533E-005 -9.026E-006 660.890184-0.00650459 304.692378 -0.00650459

1.10086949 7.75141327 1.10086949 -1.047E-005 -9.026E-006 40.80626391.34822693 16.9307845 1.34822693 -1.047E-005 -1.153E-005 145.8320461.6487099 286.031639 1.6487099 -1.047E-005 -9.325E-006 23016.151

-2.50078764 66.7034986 -2.50078764 -1.047E-005 1090.77635-2.23952604 51.4938908 -2.23952604 -1.047E-005 742.1248250.65086815 2.38842897 0.65086815 -1.047E-005 7.221100080.00836079 431.299655 0.00836079

1.89442134 31.6435134 1.89442134 9.3253E-006 -1.153E-005 347.4516737.04622529 557.738927 7.04622529 9.3253E-006 3.1810E-006 23016.151-3.08814555 300.329241 -3.08814555 9.3253E-006 1.6981E-008 14767.2762-2.30268143 94.9356408 -2.30268143 9.3253E-006 2248.85055-1.92395902 53.0671426 -1.92395902 9.3253E-006 892.897769-1.6487099 286.031639 -1.6487099 9.3253E-006 1.0473E-005 23016.151-0.02284927 1323.7461 -0.02284927

5.37644002 492.524407 5.37644002 -1.698E-008 3.1810E-006 23016.1514.88822811 541.490939 4.88822811 -1.698E-008 29744.6879.37994799 3098.40244 9.37994799 -1.698E-008 431274.272-16.6266794 17094.2022 -16.6266794 -1.698E-008 6253133.46-6.10537355 1022.22185 -6.10537355 -1.698E-008 79804.42533.08814555 300.329241 3.08814555 -1.698E-008 -9.325E-006 14767.27620.00070878 22549.1711 0.00070878

Page 23: Hardy Crosss

Q(m^3/s) V(m/s)

-0.00321959 1.06936504-0.01921959 -1.94285346-0.0645498 -2.23997902-0.02262857 -2.391432760.02178041 2.813308940.00978041 2.52661169

0.02533022 2.453869660.01033022 2.66864466-0.00266978 -1.55181462-0.00423138 -2.459494280.04692124 2.181841940.0645498 2.23997902

0.02262857 2.39143276-0.04692124 -2.18184194-0.05815262 -2.21647716-0.08447977 -2.15841593-0.04308717 -1.757506420.05440898 2.53002256

0.00423138 2.45949428-0.0084384 -1.96193278-0.0144384 -2.09808473-0.03454648 -2.1708307-0.01832715 -1.936850270.05815262 2.21647716

0.03454648 2.17083070.01210808 2.165487920.00510808 1.97938506-0.01091925 -2.53873129-0.01264606 -2.940215080.03221934 2.41645498

0.10449615 2.131175670.04308717 1.75750642-0.0503926 -2.72472153

Page 24: Hardy Crosss

-0.14200228 -2.44559970.12449615 2.160105370.11349615 2.14535828

0.08447977 2.158415930.01832715 1.93685027-0.03221934 -2.41645498-0.0598654 -2.48548794-0.07960968 -2.313660970.0503926 2.72472153

0.14200228 2.44559970.07960968 2.313660970.00574428 1.33554876-0.03750157 -2.491181-0.04350157 -2.466862510.27249843 2.30385493

0.0598654 2.485487940.01264606 2.94021508-0.01027319 -1.99043483-0.02424586 -2.16814362-0.03624586 -2.21767868-0.00574428 -1.33554876

0.01091925 2.538731290.00902733 2.332065640.00302733 2.34618762-0.00097267 -2.26145574-0.00597267 -2.314413170.01027319 1.99043483