Problema 1 Hidraulica Parte 2 Redes de Tuberias

8
Nud o Q(m3/ s) Tramo L(m) D(m) f r r^(1/ n) 1/r^(1/ n) Q asumido A 0.2 AB: 1 500 0.2 0.0130 1674.631 40.92 0.024437 0.10455 caudal de salida 0.2 AE: 5 600 0.2 0.0130 2009.557 44.83 0.022307 0.09545 caudal de salida B 0.105 BC: 2 600 0.15 0.0137 8971.400 94.72 0.010558 0.02780 caudal de salida 0.105 BE: 6 200 0.1 0.0149 24705.831 157.18 0.006362 0.01675 caudal de salida 0.105 Q ext. - - - - - - 0.06000 caudal de salida C 0.050 BC: 2 600 0.15 0.0137 8971.400 94.72 0.010558 0.02780 caudal de entrada 0.050 CD: 3 200 0.1 0.0149 24705.831 157.18 0.006362 0.02220 caudal de entrada 0.050 Q ext. - - - - - - 0.05000 caudal de salida D 0.062 CD: 3 200 0.1 0.0149 24705.831 157.18 0.006362 0.02220 caudal de salida 0.062 DE: 4 600 0.15 0.0137 8971.400 94.72 0.010558 0.06220 caudal de entrada 0.062 Q ext. - - - - - - 0.04000 caudal de salida E 0.112 AE: 5 600 0.2 0.0130 2009.557 44.83 0.022307 0.09545 caudal de entrada 0.112 BE: 6 200 0.1 0.0149 24705.831 157.18 0.006362 0.01675 caudal de entrada

description

hidraulica

Transcript of Problema 1 Hidraulica Parte 2 Redes de Tuberias

Page 1: Problema 1 Hidraulica Parte 2 Redes de Tuberias

Nudo Q(m3/s) Tramo L(m) D(m) f r r^(1/n) 1/r^(1/n) Q asumidoA 0.2 AB: 1 500 0.2 0.0130 1674.631 40.92 0.024437 0.10455 caudal de salida 0.2 AE: 5 600 0.2 0.0130 2009.557 44.83 0.022307 0.09545 caudal de salidaB 0.105 BC: 2 600 0.15 0.0137 8971.400 94.72 0.010558 0.02780 caudal de salida 0.105 BE: 6 200 0.1 0.0149 24705.831 157.18 0.006362 0.01675 caudal de salida 0.105 Q ext. - - - - - - 0.06000 caudal de salidaC 0.050 BC: 2 600 0.15 0.0137 8971.400 94.72 0.010558 0.02780 caudal de entrada 0.050 CD: 3 200 0.1 0.0149 24705.831 157.18 0.006362 0.02220 caudal de entrada 0.050 Q ext. - - - - - - 0.05000 caudal de salidaD 0.062 CD: 3 200 0.1 0.0149 24705.831 157.18 0.006362 0.02220 caudal de salida

0.062 DE: 4 600 0.15 0.0137 8971.400 94.72 0.010558 0.06220 caudal de entrada 0.062 Q ext. - - - - - - 0.04000 caudal de salida

E 0.112 AE: 5 600 0.2 0.0130 2009.557 44.83 0.022307 0.09545 caudal de entrada 0.112 BE: 6 200 0.1 0.0149 24705.831 157.18 0.006362 0.01675 caudal de entrada 0.112 DE: 4 600 0.15 0.0137 8971.400 94.72 0.010558 0.06220 caudal de salida 0.112 Q ext. _ _ _ _ _ _ 0.05000 caudal de salida

n=2

PRIMERA VUELTA

200 LPS

40 LPS

50 LPS

50 LPS

60 LPS Bo

mba6

4

2

5

A

DE

CB1

Circuito 1

Circuito 2

3

Page 2: Problema 1 Hidraulica Parte 2 Redes de Tuberias

CIRCUITO TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10455 1674.63 18.307 175.091 -0.00444 0.10011 4.25%I 6 200 0.0149 0.1 0.01675 24705.83 6.934 413.904 -0.01788 -0.00112 106.69% 5 600 0.0130 0.2 -0.09545 2009.56 -18.307 191.802 -0.00444 -0.09989 -4.66% 6.934 780.797 2 600 0.0137 0.15 0.02780 8971.40 6.934 249.419 0.01344 0.04124 -48.34%II bomba -0.02780 - -20.150 724.774 - - - 3 200 0.0149 0.1 -0.02220 24705.83 -12.174 548.430 0.01344 -0.00876 60.54% 4 600 0.0137 0.15 -0.06220 8971.40 -34.707 558.007 0.01344 -0.04876 21.61% 6 200 0.0149 0.1 -0.01675 24705.83 -6.934 413.904 0.01788 0.00112 106.69% -67.031 2494.534

SEGUNDA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10011 1674.63 16.783 167.647 0.00417 0.10428 -4.17%

I 6 200 0.0149 0.1 -0.00112 24705.83 -0.031 27.671 -0.01315 -0.01427-

1174.11% 5 600 0.0130 0.2 -0.09989 2009.56 -20.051 200.735 0.00417 -0.09572 4.17% -3.299 396.052 2 600 0.0137 0.15 0.04124 8971.40 15.258 369.981 0.00898 0.05022 -21.77%II bomba -0.04124 - -19.402 470.458 - - - 3 200 0.0149 0.1 -0.00876 24705.83 -1.896 216.423 0.00898 0.00022 102.51% 4 600 0.0137 0.15 -0.04876 8971.40 -21.330 437.445 0.00898 -0.03978 18.42%

6 200 0.0149 0.1 0.00112 24705.83 0.031 27.671 0.01315 0.01427-

1174.11% -27.338 1521.978

Page 3: Problema 1 Hidraulica Parte 2 Redes de Tuberias

TERCERA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10428 1674.63 18.210 174.630 0.00364 0.10792 -3.49%I 6 200 0.0149 0.1 -0.01427 24705.83 -5.031 352.552 0.00537 -0.00890 37.63% 5 600 0.0130 0.2 -0.09572 2009.56 -18.412 192.355 0.00364 -0.09208 3.80% -5.233 719.537 2 600 0.0137 0.15 0.05022 8971.40 22.626 450.544 0.00173 0.05195 -3.44%II bomba -0.05022 - -18.794 374.239 - - - 3 200 0.0149 0.1 0.00022 24705.83 0.001 5.435 0.00173 0.00195 -786.36% 4 600 0.0137 0.15 -0.03978 8971.40 -14.197 356.882 0.00173 -0.03805 4.35% 6 200 0.0149 0.1 0.01427 24705.83 5.031 352.552 -0.00537 0.00890 37.63% -5.333 1539.653

CUARTA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10792 1674.63 19.504 180.726 -0.00043 0.10749 0.40%I 6 200 0.0149 0.1 -0.00890 24705.83 -1.957 219.882 -0.00144 -0.01034 -16.18% 5 600 0.0130 0.2 -0.09208 2009.56 -17.038 185.040 -0.00043 -0.09251 -0.47% 0.509 585.648 2 600 0.0137 0.15 0.05195 8971.40 24.212 466.064 0.00188 0.05383 -3.62%II bomba -0.05195 - -18.666 359.302 - - - 3 200 0.0149 0.1 0.00195 24705.83 0.094 48.176 0.00188 0.00383 -96.41% 4 600 0.0137 0.15 -0.03805 8971.40 -12.989 341.362 0.00188 -0.03617 4.94%

Page 4: Problema 1 Hidraulica Parte 2 Redes de Tuberias

6 200 0.0149 0.1 0.00890 24705.83 1.957 219.882 0.00144 0.01034 -16.18% -5.392 1434.786

QUINTA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10749 1674.63 19.349 180.006 0.00039 0.10788 -0.36%I 6 200 0.0149 0.1 -0.01034 24705.83 -2.641 255.458 -0.00081 -0.01115 -7.83% 5 600 0.0130 0.2 -0.09251 2009.56 -17.198 185.904 0.00039 -0.09212 0.42% -0.491 621.368 2 600 0.0137 0.15 0.05383 8971.40 25.996 482.930 0.00042 0.05425 -0.78%II bomba -0.05383 - -18.521 344.074 - - - 3 200 0.0149 0.1 0.00383 24705.83 0.362 94.623 0.00042 0.00425 -10.97% 4 600 0.0137 0.15 -0.03617 8971.40 -11.737 324.496 0.00042 -0.03575 1.16% 6 200 0.0149 0.1 0.01034 24705.83 2.641 255.458 0.00081 0.01115 -7.83% -1.258 1501.581

SEXTA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10788 1674.63 19.490 180.659 0.00050 0.10838 -0.46%I 6 200 0.0149 0.1 -0.01115 24705.83 -3.071 275.470 0.00051 -0.01064 4.57% 5 600 0.0130 0.2 -0.09212 2009.56 -17.053 185.120 0.00050 -0.09162 0.54% -0.635 641.250 2 600 0.0137 0.15 0.05425 8971.40 26.403 486.698 0.00001 0.05426 -0.02%II bomba -0.05425 - -18.489 340.804 - - -

Page 5: Problema 1 Hidraulica Parte 2 Redes de Tuberias

3 200 0.0149 0.1 0.00425 24705.83 0.446 105.000 0.00001 0.00426 -0.24% 4 600 0.0137 0.15 -0.03575 8971.40 -11.466 320.728 0.00001 -0.03574 0.03% 6 200 0.0149 0.1 0.01115 24705.83 3.071 275.470 -0.00051 0.01064 4.57% -0.033 1528.699

SEPTIMA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10838 1674.63 19.671 181.496 0.00000 0.10838 0.00%I 6 200 0.0149 0.1 -0.01064 24705.83 -2.797 262.870 -0.00009 -0.01073 -0.85% 5 600 0.0130 0.2 -0.09162 2009.56 -16.869 184.116 0.00000 -0.09162 0.00% 0.005 628.482 2 600 0.0137 0.15 0.05426 8971.40 26.413 486.788 0.00010 0.05436 -0.18%II bomba -0.05426 - -18.488 340.726 - - - 3 200 0.0149 0.1 0.00426 24705.83 0.448 105.247 0.00010 0.00436 -2.35% 4 600 0.0137 0.15 -0.03574 8971.40 -11.460 320.638 0.00010 -0.03564 0.28% 6 200 0.0149 0.1 0.01064 24705.83 2.797 262.870 0.00009 0.01073 -0.85% -0.289 1516.269

OCTAVA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10838 1674.63 19.671 181.496 0.00003 0.10841 -0.03%I 6 200 0.0149 0.1 -0.01073 24705.83 -2.844 265.094 -0.00005 -0.01078 -0.47% 5 600 0.0130 0.2 -0.09162 2009.56 -16.869 184.116 0.00003 -0.09159 0.03% -0.043 630.706

Page 6: Problema 1 Hidraulica Parte 2 Redes de Tuberias

2 600 0.0137 0.15 0.05436 8971.40 26.511 487.685 0.00002 0.05438 -0.04%II bomba -0.05436 - -18.480 339.955 - - - 3 200 0.0149 0.1 0.00436 24705.83 0.470 107.717 0.00002 0.00438 -0.46% 4 600 0.0137 0.15 -0.03564 8971.40 -11.396 319.741 0.00002 -0.03562 0.06% 6 200 0.0149 0.1 0.01073 24705.83 2.844 265.094 0.00005 0.01078 -0.47% -0.051 1520.192

NOVENA VUELTA

CIRCUITO

TRAMO L(m) f D (m) Qasumido r hf=rxQ^n hf/Q delta Q

Q=Qasum+dQ %CAMBIO

1 500 0.0130 0.2 0.10841 1674.63 19.681 181.547 0.00004 0.10845 -0.04%I 6 200 0.0149 0.1 -0.01078 24705.83 -2.871 266.329 -0.00003 -0.01081 -0.28% 5 600 0.0130 0.2 -0.09159 2009.56 -16.858 184.055 0.00004 -0.09155 0.04% -0.047 631.931 2 600 0.0137 0.15 0.05438 8971.40 26.530 487.865 0.00000 0.05438 0.00%II bomba -0.05438 - -18.478 339.801 - - - 3 200 0.0149 0.1 0.00438 24705.83 0.474 108.212 0.00000 0.00438 0.00% 4 600 0.0137 0.15 -0.03562 8971.40 -11.383 319.561 0.00000 -0.03562 0.00% 6 200 0.0149 0.1 0.01078 24705.83 2.871 266.329 0.00003 0.01081 -0.28% 0.014 1521.767

COMPARACION DE RESULTADOS

METODO DE LAS ECUACIONES METODO DE CROSSo Q 1= 0.1063m3/s o Q 1= 0.1085m3/so Q 2 = 0.0573 m3/s o Q 2 = 0.0544 m3/so Q 3 = 0.0073 m3/s o Q 3 = 0.0044 m3/s

Page 7: Problema 1 Hidraulica Parte 2 Redes de Tuberias

o Q 4 = 0.0327 m3/s o Q 4 = 0.0356 m3/so Q 5 = 0.0937 m3/s o Q 5 = 0.0916 m3/so Q 6 = -0.0109 m3/s o Q 6 = -0.0108 m3/s

Como podemos ver los resultados son muy similares, se diferencian por milésimas