Download - Redes Cerradas (Uv) (1)
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Línea 1 Línea 2 Línea 3 Línea 4
nodo i 1 2 3 4
nodo j 2 3 4 5
Longitud (m) 500 400 200 400
Diámetro (m) 0.254 0.1524 0.1016 0.1524
Área (m2) 0.050670748 0.01824147 0.00810732 0.01824147
Caudal (m3/s) 0.12 0.05 0.01 0.02
Viscosidad Cinematica (m2/s) 0.000001141 1.1410E-006 1.1410E-006 1.1410E-006
f 0.015687571 0.01731353 0.02045853 0.01890708
km 0 10 0 0
Q 0.1223 0.0367 0.0033 0.0333
Circuito Tuberia Caudal Velocidad Reynolds
1
Línea 1 0.1200 2.37 ###
Línea 7 0.0100 1.23 ###
Línea 5 0.0400 1.23 ###
Línea 6 0.0800 1.58 ###
Circuito Tuberia Caudal Velocidad Reynolds
2
Línea 2 0.0500 2.74 ###
Línea 3 0.0100 1.23 ###
Línea 4 0.0200 1.10 ###
Línea 7 0.0047 0.58 51321.282
Circuito Tuberia Caudal Velocidad Reynolds
1
Línea 1 0.1147 2.26 ###
Línea 7 0.0146 1.81 ###
Línea 5 0.0453 1.40 ###
Línea 6 0.0853 1.68 ###
Circuito Tuberia Caudal Velocidad Reynolds
2
Línea 2 0.0400 2.19 ###
Línea 3 0.00003 0.00 349.029
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2 Línea 4 0.0300 1.64 ###
Línea 7 0.0099 1.22 ###
Circuito Tuberia Caudal Velocidad Reynolds
1
Línea 1 0.1194 2.36 ###
Línea 7 0.0124 1.53 ###
Línea 5 0.0406 1.25 ###
Línea 6 0.0806 1.59 ###
Circuito Tuberia Caudal Velocidad Reynolds
2
Línea 2 0.0375 2.06 ###
Línea 3 -0.0025 0.30 27091.784
Línea 4 0.0325 1.78 ###
Línea 7 0.0102 1.26 ###
Circuito Tuberia Caudal Velocidad Reynolds
1
Línea 1 0.1216 2.40 ###
Línea 7 0.0110 1.35 ###
Línea 5 0.0384 1.18 ###
Línea 6 0.0784 1.55 ###
Circuito Tuberia Caudal Velocidad Reynolds
2
Línea 2 0.0368 2.02 ###
Línea 3 -0.0032 0.40 35292.982
Línea 4 0.0332 1.82 ###
Línea 7 0.0103 1.27 ###
Circuito Tuberia Caudal Velocidad Reynolds
1
Línea 1 0.1223 2.41 ###
Línea 7 0.0104 1.28 ###
Línea 5 0.0377 1.16 ###
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1
Línea 6 0.0777 1.53 ###
Circuito Tuberia Caudal Velocidad Reynolds
2
Línea 2 0.0367 2.01 ###
Línea 3 -0.0033 0.41 36196.941
Línea 4 0.0333 1.83 ###
Línea 7 0.0103 1.27 ###
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Línea 5 Línea 6 Línea 7
5 6 2
6 1 5
600 300 200
0.2032 0.254 0.1016
0.03242928 0.05067075 0.00810732
0.04 0.08 0.01
1.1410E-006 1.1410E-006 1.1410E-006
0.01750196 0.01625804 0.02045853
0 0 0
0.0377 0.0777 0.0103
f hf hm Σ hf+hm Σ( hf+hm)/Q
1
0.0156876 8.8276 0.0000 8.8276 73.5630
0.0204585 3.1229 0.0000 3.1229 312.2893
0.017502 4.0074 0.0000 4.0074 100.1845
0.016258 2.4396 0.0000 2.4396 30.4952
Σ 5.5035 516.5321
ΔQ -0.0053
f hf hm Σ hf+hm Σ( hf+hm)/Q
0.0173135 17.4013 3.8293 21.2306 424.6126
0.0204585 3.1229 0.0000 3.1229 312.2893
0.0189071 3.0405 0.0000 3.0405 152.0236
0.0204585 0.6819 0.0000 0.6819 145.9230
Σ 20.6312 ###
ΔQ -0.0100
f hf hm Σ hf+hm Σ( hf+hm)/Q
2
0.015744 8.0902 0.0000 8.0902 70.5503
0.0196478 6.4288 0.0000 6.4288 439.1002
0.0172643 5.0760 0.0000 5.0760 111.9860
0.016157 2.7581 0.0000 2.7581 32.3237
Σ -6.1728 653.9602
ΔQ 0.0047
f hf hm Σ hf+hm Σ( hf+hm)/Q
0.0176158 11.3493 2.4547 13.8040 344.8250
0.0943669 0.0001 0.0000 0.0001 4.5776
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0.0180859 6.5301 0.0000 6.5301 217.9001
2
0.0196478 2.9522 0.0000 2.9522 297.5556
Σ 4.3216 864.8583
ΔQ -0.0025
f hf hm Σ hf+hm Σ( hf+hm)/Q
3
0.0156938 8.7418 0.0000 8.7418 73.2195
0.0199733 4.7029 0.0000 4.7029 378.6592
0.0174723 4.1231 0.0000 4.1231 101.5347
0.016246 2.4750 0.0000 2.4750 30.7041
Σ -2.5591 584.1175
ΔQ 0.0022
f hf hm Σ hf+hm Σ( hf+hm)/Q
0.0177126 10.0317 2.1578 12.1895 324.7651
0.0255034 0.2369 0.0000 0.2369 -96.0257
0.0179467 7.6053 0.0000 7.6053 234.2491
0.0199733 3.1902 0.0000 3.1902 311.8716
Σ 1.1572 774.8600
ΔQ -0.0007
f hf hm Σ hf+hm Σ( hf+hm)/Q
4
0.0156716 9.0527 0.0000 9.0527 74.4575
0.0202419 3.7223 0.0000 3.7223 339.1367
0.0175826 3.7135 0.0000 3.7135 96.6634
0.0162902 2.3487 0.0000 2.3487 29.9510
Σ -0.7318 540.2086
ΔQ 0.0007
f hf hm Σ hf+hm Σ( hf+hm)/Q
0.0177437 9.6534 2.0728 11.7263 318.7637
0.0242583 0.3823 0.0000 0.3823 -118.9872
0.0179085 7.9422 0.0000 7.9422 239.1263
0.0202419 3.2771 0.0000 3.2771 318.2082
Σ 0.1246 757.1109
ΔQ -0.0001
f hf hm Σ hf+hm Σ( hf+hm)/Q
5
0.0156649 9.1500 0.0000 9.1500 74.8401
0.0203701 3.3508 0.0000 3.3508 322.7821
0.0176187 3.5911 0.0000 3.5911 95.1542
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0.0163043 2.3103 0.0000 2.3103 29.7180
5
Σ -0.1022 522.4944
ΔQ 0.0001
f hf hm Σ hf+hm Σ( hf+hm)/Q
0.0177472 9.6122 2.0636 11.6757 318.1021
0.0241472 0.4003 0.0000 0.4003 -121.4759
0.0179043 7.9798 0.0000 7.9798 239.6636
0.0203701 3.2879 0.0000 3.2879 319.7416
Σ 0.0077 756.0313
ΔQ 0.0000
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Línea 1 Línea 2 Línea 3 Línea 4 Línea 5
nodo i 1 2 3 4 5
nodo j 2 3 4 5 6
Longitud (m) 500 400 200 400 600
Diámetro (m) 0.254 0.1524 0.1016 0.1524 0.2032
Área (m2) 0.05067075 0.01824147 0.00810732 0.01824147 0.03242928
Caudal (m3/s) 0.12 0.05 0.01 0.02 0.04
Velocidad (m/s) 2.37 2.74 1.23 1.10 1.23
Viscosidad Cinematica (m2/s)1.141E-006 1.141E-006 1.141E-006 1.141E-006 1.141E-006
Reynolds 527195.88 366108.25 109832.47 146443.30 219664.95
f 0.01568757 0.01731353 0.02045853 0.01890708 0.01750196
ks 0.00006 0.00006 0.00006 0.00006 0.00006
km 0 10 0 0 0
1
linea 1
Ks/d 0.00023622 0.27027027
RE 527195.88
f 0.001
x gx g´x x´
31.622777 7.337548 -0.019288 7.797100
7.797100 7.991653 -0.040958 7.983998
7.983998 7.984031 -0.040601 7.984030
7.984030 7.984030 -0.040600 7.984030
f 0.0156876
linea 5
Ks/d 0.00029528 0.27027027
RE 219664.95
f 0.001
x gx g´x x´
31.622777 6.710844 -0.022498 7.258987
7.258987 7.576963 -0.060983 7.558687
7.558687 7.558876 -0.059726 7.558866
7.558866 7.558866 -0.059726 7.558866
f 0.017502
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2
linea 1
Ks/d 0.00023622 0.27027027
RE 503791.40
f 0.001
x gx g´x x´
31.622777 7.309664 -0.019547 7.775790
7.775790 7.977840 -0.042185 7.969662
7.969662 7.969700 -0.041791 7.969698
7.969698 7.969698 -0.041791 7.969698
f 0.015744
linea 5
Ks/d 0.00029528 0.27027027
RE 248920.54
f 0.001
x gx g´x x´
31.622777 6.798765 -0.021969 7.332399
7.332399 7.626422 -0.056969 7.610575
7.610575 7.610717 -0.055948 7.610710
7.610710 7.610710 -0.055948 7.610710
f 0.0172643
3
linea 1
Ks/d 0.00023622 0.27027027
RE 524525.65
f 0.001
x gx g´x x´
31.622777 7.334448 -0.019317 7.794741
7.794741 7.990125 -0.041095 7.982413
7.982413 7.982447 -0.040733 7.982446
7.982446 7.982446 -0.040733 7.982446
f 0.0156938
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3linea 5
Ks/d 0.00029528 0.27027027
RE 223002.73
f 0.001
x gx g´x x´
31.622777 6.721558 -0.022437 7.267997
7.267997 7.583069 -0.060494 7.565097
7.565097 7.565280 -0.059268 7.565270
7.565270 7.565270 -0.059267 7.565270
f 0.0174723
4
linea 1
Ks/d 0.00023622 0.27027027
RE 534149.59
f 0.001
x gx g´x x´
31.622777 7.345525 -0.019213 7.803163
7.803163 7.995574 -0.040608 7.988065
7.988065 7.988098 -0.040260 7.988096
7.988096 7.988096 -0.040260 7.988096
f 0.0156716
linea 5
Ks/d 0.00029528 0.27027027
RE 210972.80
f 0.001
x gx g´x x´
31.622777 6.682015 -0.022660 7.234662
7.234662 7.560428 -0.062298 7.541324
7.541324 7.541531 -0.060957 7.541519
7.541519 7.541519 -0.060957 7.541519
f 0.0175826
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5
linea 1
Ks/d 0.00023622 0.27027027
RE 537125.33
f 0.001
x gx g´x x´
31.622777 7.348897 -0.019181 7.805721
7.805721 7.997228 -0.040460 7.989781
7.989781 7.989812 -0.040116 7.989811
7.989811 7.989811 -0.040116 7.989811
f 0.0156649
linea 5
Ks/d 0.00029528 0.27027027
RE 207253.13
f 0.001
x gx g´x x´
31.622777 6.669249 -0.022731 7.223851
7.223851 7.553056 -0.062880 7.533580
7.533580 7.533795 -0.061501 7.533783
7.533783 7.533783 -0.061500 7.533783
f 0.0176187
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Línea 6 Línea 7
6 2
1 5
300 200
0.254 0.1016
0.05067075 0.00810732
0.08 0.01
1.58 1.23
1.141E-006 1.141E-006
351463.92 109832.47
0.01625804 0.02045853
0.00006 0.00006
0 0
linea 2 linea 3
Ks/d 0.0003937 0.2702703 Ks/d 0.0005906 0.2702703
RE 366108.25 RE 109832.47
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 6.981036 -0.018425 7.426834 31.622777 6.108784 -0.022498
7.426834 7.606414 -0.037852 7.599865 6.670174 7.011574 -0.063613
7.599865 7.599889 -0.037568 7.599889 6.991156 6.991392 -0.062152
7.599889 7.599889 -0.037568 7.599889 6.991378 6.991378 -0.062151
f 0.0173135 f 0.020459
linea 6 linea 7
Ks/d 0.00023622 0.2702703 Ks/d 0.0005906 0.2702703
RE 351463.92 RE 109832.47
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 7.076165 -0.021414 7.590777 31.622777 6.108784 -0.022498
7.590777 7.855843 -0.052545 7.842611 6.670174 7.011574 -0.063613
7.842611 7.842711 -0.051756 7.842706 6.991156 6.991392 -0.062152
7.842706 7.842706 -0.051756 7.842706 6.991378 6.991378 -0.062151
f 0.016258 f 0.020459
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linea 2 linea 3
Ks/d 0.0003937 0.2702703 Ks/d 0.0005906 0.2702703
RE 293119.28 RE 349.03
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 6.846871 -0.019719 7.325974 31.622777 1.285767 -0.027448
7.325974 7.543515 -0.043975 7.534352 2.096210 3.634358 -0.410020
7.534352 7.534400 -0.043515 7.534398 3.187080 3.273563 -0.270650
7.534398 7.534398 -0.043515 7.534398 3.255142 3.255334 -0.265029
f 0.0176158 f 0.094367
linea 6 linea 7
Ks/d 0.00023622 0.2702703 Ks/d 0.0005906 0.2702703
RE 374868.39 RE 160804.73
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 7.119506 -0.021104 7.625933 31.622777 6.369897 -0.020756
7.625933 7.879328 -0.050614 7.867121 6.883381 7.146811 -0.050769
7.867121 7.867206 -0.049913 7.867202 7.134084 7.134176 -0.050035
7.867202 7.867202 -0.049913 7.867202 7.134171 7.134171 -0.050035
f 0.016157 f 0.019648
linea 2 linea 3
Ks/d 0.0003937 0.2702703 Ks/d 0.0005906 0.2702703
RE 274825.41 RE 27091.78
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 6.806325 -0.020072 7.294643 31.622777 5.020253 -0.026048
7.294643 7.523767 -0.045847 7.513722 5.695608 6.325713 -0.117087
7.513722 7.513780 -0.045323 7.513778 6.259669 6.262060 -0.108813
7.513778 7.513778 -0.045323 7.513778 6.261825 6.261825 -0.108784
f 0.0177126 f 0.025503
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linea 6 linea 7
Ks/d 0.00023622 0.2702703 Ks/d 0.0005906 0.2702703
RE 354134.14 RE 136409.91
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 7.081286 -0.021378 7.594949 31.622777 6.259800 -0.021555
7.594949 7.858638 -0.052317 7.845528 6.794957 7.091413 -0.056150
7.845528 7.845626 -0.051539 7.845621 7.075652 7.075793 -0.055149
7.845621 7.845621 -0.051538 7.845621 7.075786 7.075786 -0.055149
f 0.016246 f 0.019973
linea 2 linea 3
Ks/d 0.0003937 0.2702703 Ks/d 0.0005906 0.2702703
RE 269357.94 RE 35292.98
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 6.793536 -0.020180 7.284684 31.622777 5.236475 -0.025647
7.284684 7.517467 -0.046440 7.507136 5.896284 6.474724 -0.106699
7.507136 7.507197 -0.045894 7.507195 6.418955 6.420672 -0.100262
7.507195 7.507195 -0.045894 7.507195 6.420516 6.420516 -0.100244
f 0.0177437 f 0.024258
linea 6 linea 7
Ks/d 0.00023622 0.2702703 Ks/d 0.0005906 0.2702703
RE 344510.20 RE 120551.25
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 7.062604 -0.021507 7.579707 31.622777 6.174465 -0.022108
7.579707 7.848418 -0.053149 7.834857 6.724906 7.046836 -0.060358
7.834857 7.834962 -0.052332 7.834957 7.028511 7.028701 -0.059111
7.834957 7.834957 -0.052332 7.834957 7.028691 7.028691 -0.059110
f 0.0162902 f 0.020242
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linea 2 linea 3
Ks/d 0.0003937 0.2702703 Ks/d 0.0005906 0.2702703
RE 268755.30 RE 36196.94
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 6.792106 -0.020192 7.283568 31.622777 5.256969 -0.025604
7.283568 7.516761 -0.046506 7.506398 5.915176 6.488580 -0.105708
7.506398 7.506459 -0.045958 7.506456 6.433761 6.435422 -0.099432
7.506456 7.506456 -0.045958 7.506456 6.435272 6.435272 -0.099415
f 0.0177472 f 0.024147
linea 6 linea 7
Ks/d 0.00023622 0.2702703 Ks/d 0.0005906 0.2702703
RE 341534.46 RE 114015.87
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 7.056698 -0.021548 7.574877 31.622777 6.135289 -0.022344
7.574877 7.845173 -0.053412 7.831468 6.692342 7.025902 -0.062298
7.831468 7.831575 -0.052582 7.831570 7.006340 7.006557 -0.060926
7.831570 7.831570 -0.052582 7.831570 7.006545 7.006545 -0.060925
f 0.0163043 f 0.02037
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linea 4
Ks/d 0.0003937 0.2702703
RE 146443.30
f 0.001
x´ x gx g´x x´
6.670174 31.622777 6.376298 -0.022960 6.942942
6.991156 6.942942 7.294070 -0.066047 7.272316
6.991378 7.272316 7.272583 -0.064433 7.272567
6.991378 7.272567 7.272567 -0.064432 7.272567
f 0.018907
x´
6.670174
6.991156
6.991378
6.991378
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linea 4
Ks/d 0.0003937 0.2702703
RE 219432.26
f 0.001
x´ x gx g´x x´
2.096210 31.622777 6.659274 -0.021224 7.178085
3.187080 7.178085 7.449318 -0.052704 7.435738
3.255142 7.435738 7.435843 -0.051893 7.435838
3.255294 7.435838 7.435838 -0.051893 7.435838
f 0.018086
x´
6.883381
7.134084
7.134171
7.134171
linea 4
Ks/d 0.0003937 0.2702703
RE 237726.14
f 0.001
x´ x gx g´x x´
5.695608 31.622777 6.712521 -0.020829 7.220794
6.259669 7.220794 7.476782 -0.050211 7.464543
6.261825 7.464543 7.464629 -0.049514 7.464625
6.261825 7.464625 7.464625 -0.049513 7.464625
f 0.017947
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x´
6.794957
7.075652
7.075786
7.075786
linea 4
Ks/d 0.0003937 0.2702703
RE 243193.60
f 0.001
x´ x gx g´x x´
5.896284 31.622777 6.727457 -0.020714 7.232675
6.418955 7.232675 7.484384 -0.049514 7.472509
6.420516 7.472509 7.472589 -0.048846 7.472585
6.420516 7.472585 7.472585 -0.048846 7.472585
f 0.017908
x´
6.724906
7.028511
7.028691
7.028691
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linea 4
Ks/d 0.0003937 0.2702703
RE 243796.24
f 0.001
x´ x gx g´x x´
5.915176 31.622777 6.729078 -0.020701 7.233961
6.433761 7.233961 7.485206 -0.049438 7.473370
6.435272 7.473370 7.473450 -0.048774 7.473446
6.435272 7.473446 7.473446 -0.048774 7.473446
f 0.017904
x´
6.692342
7.006340
7.006545
7.006545
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ANÁLISIS DE REDES POR MATRIZ LINEAL
Línea Línea Línea Línea Línea Línea Línea 7
nodo i 1 2 3 4 5 6 2 0.0898
nodo j 2 3 4 5 6 1 5 0.0340
###
Longitud 500 400 200 400 600 300 200 0.0365
Diámetro 0.25 0.15 0.1 0.15 0.2 0.25 0.1 ###
Área 0.049 0.018 0.008 0.018 0.031 0.049 0.008 0.0023
f 0.016 0.017 0.018 0.017 0.016 0.016 0.018 0.1107
k´ 67.41 888.9 2942 725.7 250.3 40.44 2942
2-Método Matricial - J. Wood
Mij Qij Bij
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 1.0000 -0.2
2 1 -1 0 0 -1 0 0 1.0000 0.06
3 0 1 -1 0 0 0 0 1.0000 0.04
4 0 0 1 1 0 0 0 1.0000 0.03
5 0 0 0 1 1 -1 0 1.0000 0.03
6 67.41 0 0 0 2942 -250 -40.44 1.0000 0
7 0 888.9 2942 -726 -2942 0 0 1.0000 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.5480 -0.2
2 1 -1 0 0 -1 0 0 0.5183 0.06
3 0 1 -1 0 0 0 0 0.4983 0.04
4 0 0 1 1 0 0 0 0.5167 0.03
5 0 0 0 1 1 -1 0 0.4997 0.03
6 36.94 0 0 0 1470 -125 -22.32 0.5014 0
7 0 460.7 1466 -375 -1470 0 0 0.5520 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.3220 -0.2
2 1 -1 0 0 -1 0 0 0.2774 0.06
3 0 1 -1 0 0 0 0 0.2474 0.04
4 0 0 1 1 0 0 0 0.2751 0.03
5 0 0 0 1 1 -1 0 0.2496 0.03
6 21.7 0 0 0 734.3 -63.11 -13.27 0.2522 0
7 0 246.6 728 -200 -734 0 0 0.3280 0
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1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.2088 -0.2
2 1 -1 0 0 -1 0 0 0.1568 0.06
3 0 1 -1 0 0 0 0 0.1218 0.04
4 0 0 1 1 0 0 0 0.1544 0.03
5 0 0 0 1 1 -1 0 0.1244 0.03
6 14.07 0 0 0 366.2 -31.94 -8.744 0.1276 0
7 0 139.4 358.5 -112 -366 0 0 0.2162 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.1519 -0.2
2 1 -1 0 0 -1 0 0 0.0963 0.06
3 0 1 -1 0 0 0 0 0.0588 0.04
4 0 0 1 1 0 0 0 0.0943 0.03
5 0 0 0 1 1 -1 0 0.0618 0.03
6 10.24 0 0 0 181.8 -16.38 -6.496 0.0654 0
7 0 85.64 173.2 -68.41 -182 0 0 0.1606 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.1229 -0.2
2 1 -1 0 0 -1 0 0 0.0657 0.06
3 0 1 -1 0 0 0 0 0.0270 0.04
4 0 0 1 1 0 0 0 0.0646 0.03
5 0 0 0 1 1 -1 0 0.0303 0.03
6 8.287 0 0 0 89.19 -8.65 -5.392 0.0346 0
7 0 58.45 79.44 -46.85 -89.19 0 0 0.1333 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.1077 -0.2
2 1 -1 0 0 -1 0 0 0.0499 0.06
3 0 1 -1 0 0 0 0 0.0106 0.04
4 0 0 1 1 0 0 0 0.0502 0.03
5 0 0 0 1 1 -1 0 0.0143 0.03
6 7.259 0 0 0 42.12 -4.847 -4.871 0.0194 0
7 0 44.4 31.1 -36.44 -42.12 0 0 0.1204 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.0991 -0.2
2 1 -1 0 0 -1 0 0 0.0415 0.06
3 0 1 -1 0 0 0 0 0.0018 0.04
4 0 0 1 1 0 0 0 0.0436 0.03
5 0 0 0 1 1 -1 0 0.0059 0.03
6 6.682 0 0 0 17.49 -3 -4.648 0.0120 0
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7 0 36.86 5.235 -31.65 -17.49 0 0 0.1149 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.0939 -0.2
2 1 -1 0 0 -1 0 0 0.0368 0.06
3 0 1 -1 0 0 0 0 -0.0031 0.04
4 0 0 1 1 0 0 0 0.0408 0.03
5 0 0 0 1 1 -1 0 0.0012 0.03
6 6.327 0 0 0 3.641 -2.058 -4.577 0.0082 0
7 0 32.68 9.066 -29.59 -3.641 0 0 0.1132 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.0900 -0.2
2 1 -1 0 0 -1 0 0 0.0352 0.06
3 0 1 -1 0 0 0 0 -0.0047 0.04
4 0 0 1 1 0 0 0 0.0385 0.03
5 0 0 0 1 1 -1 0 -0.0031 0.03
6 6.069 0 0 0 9.23 -0.873 -4.589 0.0035 0
7 0 31.33 13.75 -28 -9.23 0 0 0.1135 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.0899 -0.2
2 1 -1 0 0 -1 0 0 0.0345 0.06
3 0 1 -1 0 0 0 0 -0.0054 0.04
4 0 0 1 1 0 0 0 0.0374 0.03
5 0 0 0 1 1 -1 0 -0.0036 0.03
6 6.061 0 0 0 10.55 -0.706 -4.524 0.0028 0
7 0 30.69 15.98 -27.11 -10.55 0 0 0.1118 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.0898 -0.2
2 1 -1 0 0 -1 0 0 0.0342 0.06
3 0 1 -1 0 0 0 0 -0.0058 0.04
4 0 0 1 1 0 0 0 0.0368 0.03
5 0 0 0 1 1 -1 0 -0.0038 0.03
6 6.053 0 0 0 11.3 -0.617 -4.492 0.0025 0
7 0 30.37 17.12 -26.69 -11.3 0 0 0.1111 0
1 2 3 4 5 6 7
1 -1 0 0 0 0 0 -1 0.0898 -0.2
2 1 -1 0 0 -1 0 0 0.0340 0.06
3 0 1 -1 0 0 0 0 -0.0060 0.04
4 0 0 1 1 0 0 0 0.0365 0.03
5 0 0 0 1 1 -1 0 -0.0040 0.03
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6 6.05 0 0 0 11.67 -0.573 -4.477 0.0023 0
7 0 30.2 17.69 -26.48 -11.67 0 0 0.1107 0
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Línea 1
Línea 2
Línea 3
Línea 4
Línea 7
Línea 5
Línea 6
Mij-1 Qijk*=[Mij-1]*Bi
1 2 3 4 5 6 7
-0.022 0.9414 0.7843 0.2642 -0.136 0.0005 0.0002 0.096
-0.009 -0.023 0.7968 0.2004 -0.053 0.0002 0.0002 0.037
-0.009 -0.023 -0.203 0.2004 -0.053 0.0002 0.0002 0
0.0086 0.023 0.2032 0.7996 0.0533 0 0 0.033
-0.013 -0.036 -0.013 0.0638 -0.083 0.0003-3E-005 0
-0.005 -0.013 0.1906 0.8633 -1.029 0.0001 0 0.003
-0.978 -0.941 -0.784 -0.264 0.1359 -0.001 0 0.104
1 2 3 4 5 6 7
-0.024 0.9362 0.7759 0.2656 -0.135 0.0011 0.0003 0.096
-0.009 -0.025 0.7905 0.2029 -0.053 0.0004 0.0004 0.037
-0.009 -0.025 -0.21 0.2029 -0.053 0.0004 0.0004 0
0.0094 0.0249 0.2095 0.7971 0.0527 0 0 0.033
-0.015 -0.039 -0.015 0.0627 -0.082 0.0007-5E-005 0
-0.005 -0.014 0.1949 0.8598 -1.03 0.0002 0 0.003
-0.976 -0.936 -0.776 -0.266 0.1351 -0.001 0 0.104
1 2 3 4 5 6 7
-0.028 0.9259 0.7596 0.2683 -0.134 0.0021 0.0007 0.096
-0.011 -0.028 0.7783 0.2078 -0.051 0.0008 0.0008 0.036
-0.011 -0.028 -0.222 0.2078 -0.051 0.0008 0.0008 0
0.0108 0.0285 0.2217 0.7922 0.0514 -0.001 -0.001 0.034
-0.017 -0.046 -0.019 0.0605 -0.082 0.0013 0 0
-0.006 -0.017 0.203 0.8527 -1.031 0.0005 -0.001 0.003
-0.972 -0.926 -0.76 -0.268 0.1336 -0.002 -0.001 0.104
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1 2 3 4 5 6 7
-0.036 0.9063 0.7291 0.2735 -0.131 0.0041 0.0013 0.095
-0.013 -0.035 0.7556 0.2174 -0.049 0.0015 0.0015 0.036
-0.013 -0.035 -0.244 0.2174 -0.049 0.0015 0.0015 0
0.0135 0.0351 0.2444 0.7826 0.0492 -0.002 -0.002 0.034
-0.022 -0.059 -0.026 0.0561 -0.082 0.0026 0 0
-0.009 -0.023 0.218 0.8387 -1.033 0.001 -0.002 0.003
-0.964 -0.906 -0.729 -0.273 0.1311 -0.004 -0.001 0.105
1 2 3 4 5 6 7
-0.05 0.8702 0.6757 0.2824 -0.127 0.0078 0.0023 0.094
-0.018 -0.046 0.7159 0.2353 -0.045 0.0028 0.0028 0.035
-0.018 -0.046 -0.284 0.2353 -0.045 0.0028 0.0028 0
0.018 0.0464 0.2841 0.7647 0.0454 -0.003 -0.003 0.035
-0.032 -0.083 -0.04 0.0471 -0.082 0.005 -0.001 0
-0.014 -0.037 0.2439 0.8119 -1.036 0.0022 -0.003 0.004
-0.95 -0.87 -0.676 -0.282 0.127 -0.008 -0.002 0.106
1 2 3 4 5 6 7
-0.076 0.8068 0.5902 0.2958 -0.122 0.0141 0.0037 0.092
-0.025 -0.063 0.6532 0.2673 -0.04 0.0046 0.0049 0.034
-0.025 -0.063 -0.347 0.2673 -0.04 0.0046 0.0049 -0.006
0.0248 0.0629 0.3468 0.7327 0.0398 -0.005 -0.005 0.036
-0.051 -0.13 -0.063 0.0285 -0.082 0.0095 -0.001 0
-0.027 -0.067 0.2838 0.7611 -1.043 0.0049 -0.006 0.004
-0.924 -0.807 -0.59 -0.296 0.1222 -0.014 -0.004 0.108
1 2 3 4 5 6 7
-0.12 0.7007 0.4702 0.3088 -0.12 0.0247 0.0052 0.091
-0.033 -0.082 0.567 0.3209 -0.033 0.0067 0.0079 0.033
-0.033 -0.082 -0.433 0.3209 -0.033 0.0067 0.0079 -0.007
0.0328 0.0818 0.433 0.6791 0.0327 -0.007 -0.008 0.037
-0.087 -0.217 -0.097 -0.012 -0.087 0.0179 -0.003 0
-0.054 -0.136 0.3363 0.6669 -1.054 0.0112 -0.011 0.005
-0.88 -0.701 -0.47 -0.309 0.1196 -0.025 -0.005 0.109
1 2 3 4 5 6 7
-0.197 0.5203 0.3237 0.2957 -0.127 0.0423 0.0053 0.089
-0.038 -0.092 0.4663 0.4036 -0.024 0.0081 0.012 0.032
-0.038 -0.092 -0.534 0.4036 -0.024 0.0081 0.012 -0.008
0.0377 0.092 0.5337 0.5964 0.0243 -0.008 -0.012 0.038
-0.159 -0.388 -0.143 -0.108 -0.103 0.0342 -0.007 0
-0.121 -0.296 0.391 0.4886 -1.078 0.0261 -0.019 0.004
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-0.803 -0.52 -0.324 -0.296 0.1269 -0.042 -0.005 0.111
1 2 3 4 5 6 7
-0.366 0.1283 0.1449 0.1495 -0.165 0.0799 -0.001 0.086
-0.018 -0.042 0.5226 0.4019 -0.008 0.0039 0.0133 0.034
-0.018 -0.042 -0.477 0.4019 -0.008 0.0039 0.0133 -0.006
0.0178 0.0423 0.4774 0.5981 0.008 -0.004 -0.013 0.036
-0.348 -0.829 -0.378 -0.252 -0.157 0.0761 -0.014 -0.008
-0.33 -0.787 0.0997 0.3457 -1.149 0.0722 -0.027 0
-0.634 -0.128 -0.145 -0.15 0.1646 -0.08 0.0005 0.114
1 2 3 4 5 6 7
-0.252 0.4136 0.2567 0.1879 -0.048 0.055 0.005 0.09
-0.028 -0.066 0.5357 0.3609 -0.005 0.0062 0.0127 0.034
-0.028 -0.066 -0.464 0.3609 -0.005 0.0062 0.0127 -0.006
0.0283 0.0658 0.4643 0.6391 0.0054 -0.006 -0.013 0.036
-0.224 -0.521 -0.279 -0.173 -0.043 0.0488 -0.008 0
-0.196 -0.455 0.1853 0.4662 -1.037 0.0427 -0.02 0.002
-0.748 -0.414 -0.257 -0.188 0.048 -0.055 -0.005 0.11
1 2 3 4 5 6 7
-0.202 -0.235 0.4511 0.2786 0.1889 -0.037 0.0519 0.0056 0.09
0.059 -0.029 -0.069 0.5458 0.3451 -0.005 0.0065 0.0126 0.034
0.040 -0.029 -0.069 -0.454 0.3451 -0.005 0.0065 0.0126 -0.006
0.032 0.0293 0.0686 0.4542 0.6549 0.0046 -0.006 -0.013 0.036
0.031 -0.205 -0.48 -0.267 -0.156 -0.032 0.0454 -0.007 0
-0.001 -0.176 -0.412 0.1871 0.4987 -1.027 0.0389 -0.02 0.002
-0.002 -0.765 -0.451 -0.279 -0.189 0.0366 -0.052 -0.006 0.11
1 2 3 4 5 6 7
-0.201 -0.226 0.47 0.2903 0.189 -0.031 0.0503 0.0059 0.09
0.059 -0.03 -0.07 0.5509 0.3372 -0.004 0.0066 0.0125 0.034
0.040 -0.03 -0.07 -0.449 0.3372 -0.004 0.0066 0.0125 -0.006
0.031 0.0298 0.0701 0.4491 0.6628 0.0041 -0.007 -0.012 0.036
0.030 -0.196 -0.46 -0.261 -0.148 -0.027 0.0436 -0.007 0
0.000 -0.166 -0.39 0.1885 0.5145 -1.023 0.037 -0.019 0.002
0.000 -0.774 -0.47 -0.29 -0.189 0.031 -0.05 -0.006 0.11
1 2 3 4 5 6 7
-0.200 -0.222 0.4788 0.2959 0.1887 -0.028 0.0495 0.0061 0.09
0.060 -0.03 -0.071 0.5535 0.3334 -0.004 0.0067 0.0124 0.034
0.040 -0.03 -0.071 -0.447 0.3334 -0.004 0.0067 0.0124 -0.006
0.030 0.0301 0.0707 0.4465 0.6666 0.0038 -0.007 -0.012 0.036
0.030 -0.192 -0.451 -0.258 -0.145 -0.025 0.0428 -0.006 0
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0.000 -0.162 -0.38 0.1889 0.522 -1.021 0.0361 -0.019 0.002
0.000 -0.778 -0.479 -0.296 -0.189 0.0284 -0.05 -0.006 0.11
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Qijk+1
0.548
0.5183
0.4983
0.5167
0.4997
0.5014
0.552
0.322
0.2774
0.2474
0.2751
0.2496
0.2522
0.328
0.2088
0.1568
0.1218
0.1544
0.1244
0.1276
0.2162
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0.1519
0.0963
0.0588
0.0943
0.0618
0.0654
0.1606
0.1229
0.0657
0.027
0.0646
0.0303
0.0346
0.1333
0.1077
0.0499
0.0106
0.0502
0.0143
0.0194
0.1204
0.0991
0.0415
0.0018
0.0436
0.0059
0.012
0.1149
0.0939
0.0368
-0.003
0.0408
0.0012
0.0082
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0.1132
0.09
0.0352
-0.005
0.0385
-0.003
0.0035
0.1135
0.0899
0.0345
-0.005
0.0374
-0.004
0.0028
0.1118
0.0898
0.0342
-0.006
0.0368
-0.004
0.0025
0.1111
0.0898
0.034
-0.006
0.0365
-0.004
0.0023
0.1107
0.0897
0.0339
###
0.0363
###
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0.0022
0.1105
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Línea 1 Línea 2 Línea 3 Línea 4 Línea 5
nodo i 1 2 3 4 5
nodo j 2 3 4 5 6
Longitud (m) 500 400 200 400 600
Diámetro (m) 0.250 0.150 0.100 0.150 0.200
Área (m2) 0.0490874 0.0176715 0.007854 0.0176715 0.0314159
Caudal (m3/s) 0.1 0.1 0.1 0.1 0.1
Velocidad (m/s) 2.04 5.66 12.73 5.66 3.18
Viscosidad Cinematica (m2/s) 1.14E-006 1.14E-006 1.14E-006 1.14E-006 1.14E-006
Reynolds 446750.72 744584.53 ### 744584.53 558438.40
f 0.0159335 0.0166734 0.017805 0.0166734 0.0161546
Km 0 10 0 0 0
ks 0.00006 0.00006 0.00006 0.00006 0.00006
k 674.06688 8889.0044 29423.357 7256.869 2502.7633
k´ 67.406688 888.90044 2942.3357 725.6869 250.27633
linea 1
Ks/d 0.00024 0.2702703
RE 446750.72
f 0.001
x gx g´x x´
31.622777 7.230460 -0.020121 7.711581
7.711581 7.931616 -0.045106 7.922120
7.922120 7.922171 -0.044618 7.922169
7.922169 7.922169 -0.044618 7.922169
f 0.015934
linea 5
Ks/d 0.0003 0.2702703
RE 558438.40
f 0.001
x gx g´x x´
31.622777 7.302552 -0.017490 7.720601
7.720601 7.872713 -0.033719 7.867751
7.867751 7.867765 -0.033527 7.867765
7.867765 7.867765 -0.033527 7.867765
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f 0.016155
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Línea 6 Línea 7
6 2
1 5
300 200
0.250 0.100
0.0490874 0.007854
0.1 0.1
2.04 12.73
1.14E-006 1.14E-006
446750.72 ###
0.0159335 0.017805
0 0
0.00006 0.00006
404.44013 29423.357
40.444013 2942.3357
linea 2 linea 3
Ks/d 0.0004 0.2702703 Ks/d 0.0006 0.2702703
RE 744584.53 RE ###
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 7.336301 -0.013637 7.663044 31.622777 7.264434 -0.008370
7.663044 7.746178 -0.021861 7.744399 7.466609 7.494575 -0.010909
7.744399 7.744401 -0.021816 7.744401 7.494273 7.494273 -0.010905
7.744401 7.744401 -0.021816 7.744401 7.494273 7.494273 -0.010905
f 0.016673 f 0.017805
linea 6 linea 7
Ks/d 0.00024 0.2702703 Ks/d 0.0006 0.2702703
RE 446750.72 RE ###
f 0.001 f 0.001
x gx g´x x´ x gx g´x
31.622777 7.230460 -0.020121 7.711581 31.622777 7.264434 -0.008370
7.711581 7.931616 -0.045106 7.922120 7.466609 7.494575 -0.010909
7.922120 7.922171 -0.044618 7.922169 7.494273 7.494273 -0.010905
7.922169 7.922169 -0.044618 7.922169 7.494273 7.494273 -0.010905
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f 0.015934 f 0.017805
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linea 4
Ks/d 0.0004 0.2702703
RE 744584.53
f 0.001
x´ x gx g´x x´
7.466609 31.622777 7.336301 -0.013637 7.663044
7.494273 7.663044 7.746178 -0.021861 7.744399
7.494273 7.744399 7.744401 -0.021816 7.744401
7.494273 7.744401 7.744401 -0.021816 7.744401
f 0.016673
x´
7.466609
7.494273
7.494273
7.494273
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