Redes Cerradas (Uv) (1)
43
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 Línea 2 0.0400 2.19 ### Línea 3 0.00003 0.00 349.029
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Transcript of Redes Cerradas (Uv) (1)
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
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 ###
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 ###
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
-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
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
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
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
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
###
0.0022
0.1105
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
f 0.016155
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
f 0.015934 f 0.017805
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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