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