Hardy Croos Tuberias

METODO DE HARDY CROOS-HAZZEN Y WILLIAMS

ITERACION 1

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 160.00 2.1024BE 0.40 1200.00 100.00 40.00 0.4790EF 0.40 900.00 100.00 -80.00 1.7280FA 0.60 1200.00 100.00 -240.00 1.8322

BC 0.50 900.00 100.00 120.00 1.2344CD 0.40 1200.00 100.00 80.00 1.7280DE 0.30 900.00 100.00 -60.00 4.1197EB 0.40 1200.00 100.00 -40.00 0.4790

FE 0.40 900.00 100.00 80.00 1.7280EH 0.30 1200.00 100.00 40.00 1.9450HG 0.40 900.00 100.00 -80.00 1.7280GF 0.40 1200.00 100.00 -160.00 6.2339

ED 0.30 900.00 100.00 60.00 4.1197DI 0.30 1200.00 100.00 40.00 1.9450IH 0.30 900.00 100.00 -40.00 1.9450HE 0.30 1200.00 100.00 -40.00 1.9450

ITERACIÓN 2

TRAMO DIAMETRO LONGITUDC

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 172.69 2.4215BE 0.40 1200.00 100.00 47.36 0.6549

LAZO O CIRCUITO

Caudal supuesto

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

𝐽= 0.0301∗ 𝑄1.851𝐶1.851 ∗𝐷4.871

1EF 0.40 900.00 100.00 -86.63 2.0023FA 0.60 1200.00 100.00 -227.31 1.6568

BC 0.50 900.00 100.00 125.33 1.3378CD 0.40 1200.00 100.00 85.33 1.9472DE 0.30 900.00 100.00 -49.91 2.9299EB 0.40 1200.00 100.00 -47.36 0.6549

FE 0.40 900.00 100.00 86.63 2.0023EH 0.30 1200.00 100.00 64.08 4.6534HG 0.40 900.00 100.00 -60.68 1.0359GF 0.40 1200.00 100.00 -140.68 4.9125

ED 0.30 900.00 100.00 49.91 2.9299DI 0.30 1200.00 100.00 35.24 1.5384IH 0.30 900.00 100.00 -44.76 2.3950HE 0.30 1200.00 100.00 -64.08 4.6534

ITERACIÓN 3

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 180.28 2.6221BE 0.40 1200.00 100.00 55.55 0.8798EF 0.40 900.00 100.00 -77.21 1.6181FA 0.60 1200.00 100.00 -219.72 1.5559

BC 0.50 900.00 100.00 124.73 1.3260CD 0.40 1200.00 100.00 84.73 1.9220DE 0.30 900.00 100.00 -57.83 3.8478EB 0.40 1200.00 100.00 -55.55 0.8798

FE 0.40 900.00 100.00 77.21 1.6181EH 0.30 1200.00 100.00 54.93 3.4991

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

3HG 0.40 900.00 100.00 -62.51 1.0944GF 0.40 1200.00 100.00 -142.51 5.0313

ED 0.30 900.00 100.00 57.83 3.8478DI 0.30 1200.00 100.00 42.56 2.1816IH 0.30 900.00 100.00 -37.44 1.7210HE 0.30 1200.00 100.00 -54.93 3.4991

ITERACIÓN 4

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 179.44 2.5996BE 0.40 1200.00 100.00 49.95 0.7227EF 0.40 900.00 100.00 -82.87 1.8444FA 0.60 1200.00 100.00 -220.56 1.5669

BC 0.50 900.00 100.00 129.49 1.4212CD 0.40 1200.00 100.00 89.49 2.1267DE 0.30 900.00 100.00 -52.31 3.1963EB 0.40 1200.00 100.00 -49.95 0.7227

FE 0.40 900.00 100.00 82.87 1.8444EH 0.30 1200.00 100.00 60.50 4.1840HG 0.40 900.00 100.00 -57.69 0.9435GF 0.40 1200.00 100.00 -137.69 4.7210

ED 0.30 900.00 100.00 52.31 3.1963DI 0.30 1200.00 100.00 41.81 2.1107IH 0.30 900.00 100.00 -38.19 1.7856HE 0.30 1200.00 100.00 -60.50 4.1840

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

ITERACIÓN 5

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 172.69 2.4215BE 0.40 1200.00 100.00 47.36 0.6549EF 0.40 900.00 100.00 -86.63 2.0023FA 0.60 1200.00 100.00 -227.31 1.6568

BC 0.50 900.00 100.00 125.33 1.3378CD 0.40 1200.00 100.00 85.33 1.9472DE 0.30 900.00 100.00 -49.91 2.9299EB 0.40 1200.00 100.00 -47.36 0.6549

FE 0.40 900.00 100.00 86.63 2.0023EH 0.30 1200.00 100.00 64.08 4.6534HG 0.40 900.00 100.00 -60.68 1.0359GF 0.40 1200.00 100.00 -140.68 4.9125

ED 0.30 900.00 100.00 49.91 2.9299DI 0.30 1200.00 100.00 35.24 1.5384IH 0.30 900.00 100.00 -44.76 2.3950HE 0.30 1200.00 100.00 -64.08 4.6534

ITERACIÓN 6

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 180.28 2.6221BE 0.40 1200.00 100.00 55.55 0.8798EF 0.40 900.00 100.00 -77.21 1.6181FA 0.60 1200.00 100.00 -219.72 1.5559

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

BC 0.50 900.00 100.00 124.73 1.3260CD 0.40 1200.00 100.00 84.73 1.9220DE 0.30 900.00 100.00 -57.83 3.8478EB 0.40 1200.00 100.00 -55.55 0.8798

FE 0.40 900.00 100.00 77.21 1.6181EH 0.30 1200.00 100.00 54.93 3.4991HG 0.40 900.00 100.00 -62.51 1.0944GF 0.40 1200.00 100.00 -142.51 5.0313

ED 0.30 900.00 100.00 57.83 3.8478DI 0.30 1200.00 100.00 42.56 2.1816IH 0.30 900.00 100.00 -37.44 1.7210HE 0.30 1200.00 100.00 -54.93 3.4991

ITERACIÓN 7

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 179.44 2.5996BE 0.40 1200.00 100.00 49.95 0.7227EF 0.40 900.00 100.00 -82.81 1.8421FA 0.60 1200.00 100.00 -220.56 1.5669

BC 0.50 900.00 100.00 129.49 1.4212CD 0.40 1200.00 100.00 89.49 2.1267DE 0.30 900.00 100.00 -52.31 3.1963EB 0.40 1200.00 100.00 -49.95 0.7227

FE 0.40 900.00 100.00 82.87 1.8444EH 0.30 1200.00 100.00 60.50 4.1840HG 0.40 900.00 100.00 -57.69 0.9435GF 0.40 1200.00 100.00 -137.69 4.7210

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

ED 0.30 900.00 100.00 52.31 3.1963DI 0.30 1200.00 100.00 41.81 2.1107IH 0.30 900.00 100.00 -38.19 1.7856HE 0.30 1200.00 100.00 -60.50 4.1840

ITERACION 8

TRAMODIAMETRO LONGITUD C Pérdida de carga

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 182.48 2.6817BE 0.40 1200.00 100.00 53.41 0.8181EF 0.40 900.00 100.00 -79.21 1.6964FA 0.60 1200.00 100.00 -217.52 1.5272

BC 0.50 900.00 100.00 129.07 1.4126CD 0.40 1200.00 100.00 89.07 2.1080DE 0.30 900.00 100.00 -55.47 3.5631EB 0.40 1200.00 100.00 -53.41 0.8181

FE 0.40 900.00 100.00 79.26 1.6986EH 0.30 1200.00 100.00 57.20 3.7711HG 0.40 900.00 100.00 -58.26 0.9607GF 0.40 1200.00 100.00 -138.26 4.7570

ED 0.30 900.00 100.00 55.47 3.5631DI 0.30 1200.00 100.00 44.54 2.3736IH 0.30 900.00 100.00 -35.46 1.5560HE 0.30 1200.00 100.00 -57.20 3.7711

ITERACIÓN 9

D(m) m (lps) J(m/1000m)

LAZO O CIRCUITO

Caudal supuesto

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

AB 0.50 900.00 100.00 182.16 2.6728BE 0.40 1200.00 100.00 51.26 0.7580EF 0.40 900.00 100.00 -81.35 1.7823FA 0.60 1200.00 100.00 -217.84 1.5314

BC 0.50 900.00 100.00 130.90 1.4499CD 0.40 1200.00 100.00 90.90 2.1889DE 0.30 900.00 100.00 -53.35 3.3149EB 0.40 1200.00 100.00 -51.26 0.7580

FE 0.40 900.00 100.00 81.40 1.7846EH 0.30 1200.00 100.00 59.31 4.0321HG 0.40 900.00 100.00 -56.44 0.9060GF 0.40 1200.00 100.00 -136.44 4.6421

ED 0.30 900.00 100.00 53.35 3.3149DI 0.30 1200.00 100.00 44.25 2.3449IH 0.30 900.00 100.00 -35.75 1.5797HE 0.30 1200.00 100.00 -59.31 4.0321

ITERACIÓN 10

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 183.31 2.7043BE 0.40 1200.00 100.00 52.60 0.7952EF 0.40 900.00 100.00 -79.99 1.7275FA 0.60 1200.00 100.00 -216.69 1.5164

BC 0.50 900.00 100.00 130.71 1.4461CD 0.40 1200.00 100.00 90.71 2.1807DE 0.30 900.00 100.00 -54.58 3.4571EB 0.40 1200.00 100.00 -52.60 0.7952

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

FE 0.40 900.00 100.00 80.04 1.7297EH 0.30 1200.00 100.00 58.07 3.8772HG 0.40 900.00 100.00 -56.64 0.9120GF 0.40 1200.00 100.00 -136.64 4.6549

ED 0.30 900.00 100.00 54.58 3.4571DI 0.30 1200.00 100.00 45.29 2.4479IH 0.30 900.00 100.00 -34.71 1.4958HE 0.30 1200.00 100.00 -58.07 3.8772

ITERACIÓN 11

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 183.19 2.7009BE 0.40 1200.00 100.00 51.78 0.7723EF 0.40 900.00 100.00 -80.80 1.7601FA 0.60 1200.00 100.00 -216.81 1.5180

BC 0.50 900.00 100.00 131.41 1.4604CD 0.40 1200.00 100.00 91.41 2.2119DE 0.30 900.00 100.00 -53.77 3.3626EB 0.40 1200.00 100.00 -51.78 0.7723

FE 0.40 900.00 100.00 80.86 1.7624EH 0.30 1200.00 100.00 58.87 3.9767HG 0.40 900.00 100.00 -55.96 0.8916GF 0.40 1200.00 100.00 -135.96 4.6116

ED 0.30 900.00 100.00 53.77 3.3626DI 0.30 1200.00 100.00 45.18 2.4367IH 0.30 900.00 100.00 -34.82 1.5047HE 0.30 1200.00 100.00 -58.87 3.9767

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

ITERACIÓN 12

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 183.63 2.7129BE 0.40 1200.00 100.00 52.29 0.7866EF 0.40 900.00 100.00 -80.28 1.7394FA 0.60 1200.00 100.00 -216.37 1.5123

BC 0.50 900.00 100.00 131.34 1.4589CD 0.40 1200.00 100.00 91.34 2.2085DE 0.30 900.00 100.00 -54.23 3.4171EB 0.40 1200.00 100.00 -52.29 0.7866

FE 0.40 900.00 100.00 80.34 1.7416EH 0.30 1200.00 100.00 58.40 3.9181HG 0.40 900.00 100.00 -56.03 0.8939GF 0.40 1200.00 100.00 -136.03 4.6163

ED 0.30 900.00 100.00 54.23 3.4171DI 0.30 1200.00 100.00 45.57 2.4762IH 0.30 900.00 100.00 -34.43 1.4733HE 0.30 1200.00 100.00 -58.40 3.9181

ITERACIÓN 12

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 183.58 2.7116BE 0.40 1200.00 100.00 51.98 0.7778

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

1EF 0.40 900.00 100.00 -80.59 1.7518FA 0.60 1200.00 100.00 -216.42 1.5129

BC 0.50 900.00 100.00 131.60 1.4644CD 0.40 1200.00 100.00 91.60 2.2205DE 0.30 900.00 100.00 -53.93 3.3811EB 0.40 1200.00 100.00 -51.98 0.7778

FE 0.40 900.00 100.00 80.65 1.7541EH 0.30 1200.00 100.00 58.70 3.9559HG 0.40 900.00 100.00 -55.77 0.8862GF 0.40 1200.00 100.00 -135.77 4.5999

ED 0.30 900.00 100.00 53.93 3.3811DI 0.30 1200.00 100.00 45.53 2.4719IH 0.30 900.00 100.00 -34.47 1.4767HE 0.30 1200.00 100.00 -58.70 3.9559

ITERACIÓN 13

D(m) m (lps) J(m/1000m)

AB 0.50 900.00 100.00 183.75 2.7162BE 0.40 1200.00 100.00 52.17 0.7833EF 0.40 900.00 100.00 -80.40 1.7439FA 0.60 1200.00 100.00 -216.25 1.5108

BC 0.50 900.00 100.00 131.58 1.4638CD 0.40 1200.00 100.00 91.58 2.2192DE 0.30 900.00 100.00 -54.10 3.4019EB 0.40 1200.00 100.00 -52.17 0.7833

FE 0.40 900.00 100.00 80.45 1.7462EH 0.30 1200.00 100.00 58.52 3.9337

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

3HG 0.40 900.00 100.00 -55.80 0.8870GF 0.40 1200.00 100.00 -135.80 4.6017

ED 0.30 900.00 100.00 54.10 3.4019DI 0.30 1200.00 100.00 45.68 2.4870IH 0.30 900.00 100.00 -34.32 1.4648HE 0.30 1200.00 100.00 -58.52 3.9337

METODO DE HARDY CROOS-HAZZEN Y WILLIAMS n=1.85

Pérdida de cargah/Q0 ∆Q Q1(lps)

1.8921 0.0118 12.6941 172.69410.5748 0.0144 7.3638 47.3638

-1.5552 0.0194 -6.6271 -86.6271-2.1986 0.0092 12.6941 -227.3059-1.2869 0.0548 12.6941

1.1109 0.0093 5.3303 125.33032.0736 0.0259 5.3303 85.3303

-3.7077 0.0618 10.0904 -49.9096-0.5748 0.0144 -7.3638 -47.3638-1.0980 0.1113 5.3303

1.5552 0.0194 6.6271 86.62712.3340 0.0584 24.0813 64.0813

-1.5552 0.0194 19.3212 -60.6788-7.4807 0.0468 19.3212 -140.6788-5.1466 0.1440 19.3212

3.7077 0.0618 -10.0904 49.90962.3340 0.0584 -4.7600 35.2400

-1.7505 0.0438 -4.7600 -44.7600-2.3340 0.0584 -24.0813 -64.08131.9572 0.2223 -4.7600

h/Q0 ∆Q Q1(lps)

2.1793 0.0126 7.5892 180.28340.7859 0.0166 8.1877 55.5516

Si los caudales supuestos son negativos, entonces en la columna h las perdidas tiene que ser negativos.

No comparten tubería entre dos sistemas

𝐽= 0.0301∗ 𝑄1.851𝐶1.851 ∗𝐷4.871 ∆𝑄1 = − σℎ1.85∗σℎ 𝑄0ൗ�

𝑄=𝑄0+∆𝑄

-1.8021 0.0208 9.4174 -77.2097-1.9882 0.0087 7.5892 -219.7166-0.8250 0.0588 7.5892

1.2040 0.0096 -0.5985 124.73182.3366 0.0274 -0.5985 84.7318

-2.6369 0.0528 -7.9174 -57.8271-0.7859 0.0166 -8.1877 -55.55160.1178 0.1064 -0.5985

1.8021 0.0208 -9.4174 77.20975.5841 0.0871 -9.1471 54.9342

-0.9323 0.0154 -1.8282 -62.5069-5.8950 0.0419 -1.8282 -142.50690.5588 0.1652 -1.8282

2.6369 0.0528 7.9174 57.82711.8461 0.0524 7.3189 42.5589

-2.1555 0.0482 7.3189 -37.4411-5.5841 0.0871 9.1471 -54.9342-3.2566 0.2405 7.3189

h/Q0 ∆Q Q1(lps)

2.3599 0.0131 -0.8388 179.44451.0557 0.0190 -5.6004 49.9511

-1.4563 0.0189 -5.6563 -82.8660-1.8671 0.0085 -0.8388 -220.55550.0923 0.0595 -0.8388

1.1934 0.0096 4.7616 129.49342.3064 0.0272 4.7616 89.4934

-3.4630 0.0599 5.5143 -52.3127-1.0557 0.0190 5.6004 -49.9511-1.0190 0.1157 4.7616

1.4563 0.0189 5.6563 82.86604.1989 0.0764 5.5702 60.5044

-0.9850 0.0158 4.8175 -57.6895-6.0376 0.0424 4.8175 -137.6895-1.3674 0.1534 4.8175

3.4630 0.0599 -5.5143 52.31272.6179 0.0615 -0.7527 41.8062

-1.5489 0.0414 -0.7527 -38.1938-4.1989 0.0764 -5.5702 -60.50440.3331 0.2392 -0.7527

h/Q0 ∆Q Q1(lps)

2.3397 0.0130 3.0564 182.50100.8672 0.0174 3.4819 53.4330

-1.6599 0.0200 3.6226 -79.2433-1.8803 0.0085 3.0564 -217.4990-0.3334 0.0590 3.0564

1.2791 0.0099 -0.4255 129.06802.5520 0.0285 -0.4255 89.0680

-2.8767 0.0550 -3.1622 -55.4750-0.8672 0.0174 -3.4819 -53.43300.0872 0.1107 -0.4255

1.6599 0.0200 -3.6226 79.24335.0209 0.0830 -3.3030 57.2014

-0.8491 0.0147 -0.5662 -58.2557-5.6652 0.0411 -0.5662 -138.25570.1664 0.1589 -0.5662

2.8767 0.0550 3.1622 55.47502.5328 0.0606 2.7368 44.5429

-1.6070 0.0421 2.7368 -35.4571-5.0209 0.0830 3.3030 -57.2014-1.2183 0.2406 2.7368

h/Q0 ∆Q Q1(lps)

2.1793 0.0126 7.5892 180.28340.7859 0.0166 8.1877 55.5516

-1.8021 0.0208 9.4174 -77.2097-1.9882 0.0087 7.5892 -219.7166-0.8250 0.0588 7.5892

1.2040 0.0096 -0.5985 124.73182.3366 0.0274 -0.5985 84.7318

-2.6369 0.0528 -7.9174 -57.8271-0.7859 0.0166 -8.1877 -55.55160.1178 0.1064 -0.5985

1.8021 0.0208 -9.4174 77.20975.5841 0.0871 -9.1471 54.9342

-0.9323 0.0154 -1.8282 -62.5069-5.8950 0.0419 -1.8282 -142.50690.5588 0.1652 -1.8282

2.6369 0.0528 7.9174 57.82711.8461 0.0524 7.3189 42.5589

-2.1555 0.0482 7.3189 -37.4411-5.5841 0.0871 9.1471 -54.9342-3.2566 0.2405 7.3189

h/Q0 ∆Q Q1(lps)

2.3599 0.0131 -0.8388 179.44451.0557 0.0190 -5.6004 49.9511

-1.4563 0.0189 -5.6004 -82.8101-1.8671 0.0085 -0.8388 -220.55550.0923 0.0595 -0.8388

1.1934 0.0096 4.7616 129.49342.3064 0.0272 4.7616 89.4934

-3.4630 0.0599 5.5143 -52.3127-1.0557 0.0190 5.6004 -49.9511-1.0190 0.1157 4.7616

1.4563 0.0189 5.6563 82.86604.1989 0.0764 5.5702 60.5044

-0.9850 0.0158 4.8175 -57.6895-6.0376 0.0424 4.8175 -137.6895-1.3674 0.1534 4.8175

3.4630 0.0599 -5.5143 52.31272.6179 0.0615 -0.7527 41.8062

-1.5489 0.0414 -0.7527 -38.1938-4.1989 0.0764 -5.5702 -60.50440.3331 0.2392 -0.7527

h/Q0 ∆Q Q1(lps)

2.3397 0.0130 3.0381 182.48260.8672 0.0174 3.4635 53.4146

-1.6579 0.0200 3.6043 -79.2059-1.8803 0.0085 3.0381 -217.5174-0.3313 0.0589 3.0381

1.2791 0.0099 -0.4255 129.06802.5520 0.0285 -0.4255 89.0680

-2.8767 0.0550 -3.1622 -55.4750-0.8672 0.0174 -3.4635 -53.41460.0872 0.1107 -0.4255

1.6599 0.0200 -3.6043 79.26175.0209 0.0830 -3.3030 57.2014

-0.8491 0.0147 -0.5662 -58.2557-5.6652 0.0411 -0.5662 -138.25570.1664 0.1589 -0.5662

2.8767 0.0550 3.1622 55.47502.5328 0.0606 2.7368 44.5429

-1.6070 0.0421 2.7368 -35.4571-5.0209 0.0830 3.3030 -57.2014-1.2183 0.2406 2.7368

Pérdida de cargah/Q0 ∆Q Q1(lps)

2.4135 0.0132 -0.3270 182.15560.9818 0.0184 -2.1583 51.2563

-1.5268 0.0193 -2.1422 -81.3481-1.8326 0.0084 -0.3270 -217.84440.0359 0.0593 -0.3270

1.2713 0.0098 1.8314 130.89932.5296 0.0284 1.8314 90.8993

-3.2068 0.0578 2.1223 -53.3527-0.9818 0.0184 2.1583 -51.2563-0.3877 0.1144 1.8314

1.5288 0.0193 2.1422 81.40404.5253 0.0791 2.1062 59.3076

-0.8646 0.0148 1.8153 -56.4404-5.7084 0.0413 1.8153 -136.4404-0.5190 0.1545 1.8153

3.2068 0.0578 -2.1223 53.35272.8483 0.0639 -0.2909 44.2520

-1.4004 0.0395 -0.2909 -35.7480-4.5253 0.0791 -2.1062 -59.30760.1294 0.2404 -0.2909

h/Q0 ∆Q Q1(lps)

2.4055 0.0132 1.1587 183.31440.9096 0.0177 1.3439 52.6002

-1.6041 0.0197 1.3618 -79.9863-1.8377 0.0084 1.1587 -216.6856-0.1267 0.0591 1.1587

1.3049 0.0100 -0.1851 130.71422.6267 0.0289 -0.1851 90.7142

-2.9834 0.0559 -1.2241 -54.5767-0.9096 0.0177 -1.3439 -52.60020.0385 0.1125 -0.1851

1.6061 0.0197 -1.3618 80.04224.8386 0.0816 -1.2420 58.0656

-0.8154 0.0144 -0.2030 -56.6434-5.5705 0.0408 -0.2030 -136.64340.0588 0.1566 -0.2030

2.9834 0.0559 1.2241 54.57672.8139 0.0636 1.0389 45.2909

-1.4217 0.0398 1.0389 -34.7091-4.8386 0.0816 1.2420 -58.0656-0.4629 0.2409 1.0389

h/Q0 ∆Q Q1(lps)

2.4339 0.0133 -0.1253 183.18910.9542 0.0181 -0.8242 51.7760

-1.5547 0.0194 -0.8133 -80.7997-1.8197 0.0084 -0.1253 -216.81090.0137 0.0593 -0.1253

1.3015 0.0100 0.6989 131.41312.6168 0.0288 0.6989 91.4131

-3.1114 0.0570 0.8109 -53.7658-0.9542 0.0181 0.8242 -51.7760

-0.1473 0.1140 0.6989

1.5567 0.0194 0.8133 80.85554.6527 0.0801 0.8001 58.8657

-0.8208 0.0145 0.6881 -55.9554-5.5858 0.0409 0.6881 -135.9554-0.1972 0.1549 0.6881

3.1114 0.0570 -0.8109 53.76582.9374 0.0649 -0.1120 45.1789

-1.3462 0.0388 -0.1120 -34.8211-4.6527 0.0801 -0.8001 -58.86570.0499 0.2408 -0.1120

h/Q0 ∆Q Q1(lps)

2.4308 0.0133 0.4400 183.62910.9268 0.0179 0.5142 52.2902

-1.5841 0.0196 0.5159 -80.2838-1.8216 0.0084 0.4400 -216.3709-0.0482 0.0592 0.4400

1.3144 0.0100 -0.0742 131.33892.6542 0.0290 -0.0742 91.3389

-3.0263 0.0563 -0.4689 -54.2347-0.9268 0.0179 -0.5142 -52.29020.0155 0.1132 -0.0742

1.5862 0.0196 -0.5159 80.33964.7721 0.0811 -0.4706 58.3951

-0.8025 0.0143 -0.0758 -56.0312-5.5339 0.0407 -0.0758 -136.03120.0218 0.1557 -0.0758

3.0263 0.0563 0.4689 54.23472.9240 0.0647 0.3948 45.5737

-1.3543 0.0389 0.3948 -34.4263-4.7721 0.0811 0.4706 -58.3951

-0.1760 0.2410 0.3948

h/Q0 ∆Q Q1(lps)

2.4416 0.0133 -0.0480 183.58110.9439 0.0181 -0.3139 51.9763

-1.5655 0.0195 -0.3092 -80.5930-1.8148 0.0084 -0.0480 -216.41890.0053 0.0592 -0.0480

1.3130 0.0100 0.2659 131.60482.6503 0.0290 0.2659 91.6048

-3.0754 0.0567 0.3090 -53.9258-0.9439 0.0181 0.3139 -51.9763-0.0560 0.1138 0.2659

1.5675 0.0195 0.3092 80.64884.7017 0.0805 0.3042 58.6993

-0.8045 0.0144 0.2612 -55.7701-5.5396 0.0407 0.2612 -135.7701-0.0749 0.1551 0.2612

3.0754 0.0567 -0.3090 53.92582.9715 0.0652 -0.0430 45.5306

-1.3260 0.0385 -0.0430 -34.4694-4.7017 0.0805 -0.3042 -58.69930.0192 0.2409 -0.0430

h/Q0 ∆Q Q1(lps)

2.4405 0.0133 0.1671 183.74820.9334 0.0180 0.1960 52.1723

-1.5766 0.0196 0.1960 -80.3969-1.8155 0.0084 0.1671 -216.2518-0.0183 0.0592 0.1671

1.3179 0.0100 -0.0289 131.57592.6646 0.0291 -0.0289 91.5759

-3.0430 0.0564 -0.1789 -54.1046-0.9334 0.0180 -0.1960 -52.17230.0061 0.1135 -0.0289

1.5787 0.0196 -0.1959 80.45294.7471 0.0809 -0.1788 58.5205

-0.7976 0.0143 -0.0288 -55.7989-5.5199 0.0407 -0.0288 -135.79890.0083 0.1554 -0.0288

3.0430 0.0564 0.1789 54.10462.9663 0.0651 0.1500 45.6806

-1.3290 0.0386 0.1500 -34.3194-4.7471 0.0809 0.1788 -58.5205-0.0669 0.2410 0.1500

h/Q0 ∆Q Q1(lps)

2.4446 0.0133 -0.0184 183.72980.9399 0.0180 -0.1195 52.0528

-1.5695 0.0195 -0.1176 -80.5146-1.8129 0.0084 -0.0184 -216.27020.0020 0.0592 -0.0184

1.3174 0.0100 0.1011 131.67702.6630 0.0291 0.1011 91.6770

-3.0617 0.0566 0.1176 -53.9871-0.9399 0.0180 0.1195 -52.0528-0.0213 0.1137 0.1011

1.5716 0.0195 0.1176 80.57054.7204 0.0807 0.1157 58.6362

-0.7983 0.0143 0.0992 -55.6997-5.5221 0.0407 0.0992 -135.6997-0.0285 0.1552 0.0992

3.0617 0.0566 -0.1176 53.98712.9844 0.0653 -0.0165 45.6641

-1.3184 0.0384 -0.0165 -34.3359-4.7204 0.0807 -0.1157 -58.63620.0074 0.2410 -0.0165

METODO DE HARDY CROOS.HAZZEN Y WILLIAMS

ITERACIÓN 1

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

m m C Q0(lps) J(m/1000m)

1-2 0.25 600 95 130 46.06207152-5 0.1 200 95 15 73.40827575-6 0.15 600 95 -50 94.59170586-1 0.2 200 95 -90 69.1489959

2-3 0.25 600 95 55 9.372288713-4 0.1 200 95 15 73.40827574-5 0.15 600 95 -15 10.18601945-2 0.1 200 95 -15 73.4082757

ITERACIÓN 2

1-2 0.25 600 95 136.1605 50.18373432-5 0.1 200 95 21.0535331 137.4911215-6 0.15 600 95 -43.8395001 74.15710936-1 0.2 200 95 -83.8395001 60.643813

2-3 0.25 600 95 55.1069668 9.406056123-4 0.1 200 95 15.1069668 74.38018264-5 0.15 600 95 -14.8930332 10.0519755-2 0.1 200 95 -21.0535331 137.491121

CAUDAL SUPUESTO

𝐽= 0.0301∗ 𝑄1.851𝐶1.851 ∗𝐷4.871 ∆𝑄1 = − σℎ1.85∗σℎ 𝑄0ൗ�

𝑄=𝑄0+∆𝑄

ℎ= 𝐽1000∗𝐿

ITERACIÓN 3

1-2 0.25 600 95 135.96225 50.04856982-5 0.1 200 95 18.342137 106.5236235-6 0.15 600 95 -44.0377503 74.77903986-1 0.2 200 95 -84.0377503 60.9095149

2-3 0.25 600 95 57.6201127 10.21543793-4 0.1 200 95 17.6201127 98.8922314-5 0.15 600 95 -12.3798873 7.139670545-2 0.1 200 95 -18.342137 106.523623

ITERACIÓN 4

1-2 0.25 600 95 137.175612 50.87845022-5 0.1 200 95 19.6185492 120.6497745-6 0.15 600 95 -42.824388 71.01006776-1 0.2 200 95 -82.824388 59.2916979

2-3 0.25 600 95 57.5570628 10.19475683-4 0.1 200 95 17.5570628 98.2382234-5 0.15 600 95 -12.4429372 7.207122225-2 0.1 200 95 -19.6185492 120.649774

ITERACIÓN 5

1-2 0.25 600 95 137.135415 50.85085722-5 0.1 200 95 19.0596246 114.3646355-6 0.15 600 95 -42.8645847 71.1334913

CAUDAL SUPUESTO

6-1 0.2 200 95 -82.8645847 59.3449727Σ

2-3 0.25 600 95 58.0757908 10.36547743-4 0.1 200 95 18.0757908 103.6781444-5 0.15 600 95 -11.9242092 6.660866765-2 0.1 200 95 -19.0596246 114.364635

ITERACIÓN 6

1-2 0.25 600 95 137.381398 51.01981962-5 0.1 200 95 19.3221687 117.2977055-6 0.15 600 95 -42.6186025 70.37974796-1 0.2 200 95 -82.6186025 59.019304

2-3 0.25 600 95 58.0592288 10.36000653-4 0.1 200 95 18.0592288 103.5023774-5 0.15 600 95 -11.9407712 6.678001415-2 0.1 200 95 -19.3221687 117.297705

ITERACIÓN 7

1-2 0.25 600 95 137.373045 51.01407792-5 0.1 200 95 19.2077785 116.0155725-6 0.15 600 95 -42.6269552 70.4052826-1 0.2 200 95 -82.6269552 59.0303491

2-3 0.25 600 95 58.1652663 10.39505683-4 0.1 200 95 18.1652663 104.6300944-5 0.15 600 95 -11.8347337 6.56864735-2 0.1 200 95 -19.2077785 116.015572

CAUDAL SUPUESTO

ITERACIÓN 8

1-2 0.25 600 95 137.423138 51.04851632-5 0.1 200 95 19.2614913 116.6168015-6 0.15 600 95 -42.5768618 70.25221186-1 0.2 200 95 -82.5768618 58.9641231

2-3 0.25 600 95 58.1616469 10.39385953-4 0.1 200 95 18.1616469 104.5915094-5 0.15 600 95 -11.8383531 6.572366265-2 0.1 200 95 -19.2614913 116.616801

ITERACIÓN 9

1-2 0.25 600 95 137.421386 51.04731172-5 0.1 200 95 19.2381095 116.3549045-6 0.15 600 95 -42.5786137 70.25756256-1 0.2 200 95 -82.5786137 58.9664386

2-3 0.25 600 95 58.1832767 10.40101553-4 0.1 200 95 18.1832767 104.8221954-5 0.15 600 95 -11.8167233 6.550156045-2 0.1 200 95 -19.2381095 116.354904

ITERACIÓN 10

CAUDAL SUPUESTO

1-2 0.25 600 95 137.431597 51.05433242-5 0.1 200 95 19.2490864 116.4778215-6 0.15 600 95 -42.5684034 70.22638056-1 0.2 200 95 -82.5684034 58.952944

2-3 0.25 600 95 58.1825103 10.40076193-4 0.1 200 95 18.1825103 104.8140164-5 0.15 600 95 -11.8174897 6.55094255-2 0.1 200 95 -19.2490864 116.477821

ITERACIÓN 11

1-2 0.25 600 95 137.431229 51.05407942-5 0.1 200 95 19.2443082 116.4243085-6 0.15 600 95 -42.5687713 70.22750416-1 0.2 200 95 -82.5687713 58.9534303

2-3 0.25 600 95 58.1869205 10.40222123-4 0.1 200 95 18.1869205 104.8610794-5 0.15 600 95 -11.8130795 6.546417965-2 0.1 200 95 -19.2443082 116.424308

ITERACIÓN 12

1-2 0.25 600 95 137.43331 51.05551072-5 0.1 200 95 19.2465509 116.4494245-6 0.15 600 95 -42.5666898 70.2211486-1 0.2 200 95 -82.5666898 58.9506794

CAUDAL SUPUESTO

2-3 0.25 600 95 58.1867592 10.40216793-4 0.1 200 95 18.1867592 104.8593584-5 0.15 600 95 -11.8132408 6.546583345-2 0.1 200 95 -19.2465509 116.449424

ITERACIÓN 13

1-2 0.25 600 95 137.433233 51.05545762-5 0.1 200 95 19.2455746 116.438495-6 0.15 600 95 -42.5667671 70.22138386-1 0.2 200 95 -82.5667671 58.9507815

2-3 0.25 600 95 58.1876584 10.40246543-4 0.1 200 95 18.1876584 104.8689544-5 0.15 600 95 -11.8123416 6.545661065-2 0.1 200 95 -19.2455746 116.43849

ITERACIÓN 14

1-2 0.25 600 95 137.433657 51.05574942-5 0.1 200 95 19.2460328 116.4436215-6 0.15 600 95 -42.5663427 70.2200886-1 0.2 200 95 -82.5663427 58.9502206

2-3 0.25 600 95 58.1876245 10.40245423-4 0.1 200 95 18.1876245 104.8685934-5 0.15 600 95 -11.8123755 6.545695775-2 0.1 200 95 -19.2460328 116.443621

CAUDAL SUPUESTO

NUDO COTAS(m)PRESIONES HIDROSTÁTICA PÉRDIDAS DE CARGA PRESIÓN HIDROSTÁTICA

m H2O TRAMO m m H2O1 30 70 1-2 30.6334496 702 25 75 2-5 23.2887242 44.36655036351673 20 80 5-6 -42.1320528 43.1250778494164 20 80 6-1 -11.7900441 22.1513592620165 22 78 2-3 6.24147251 24.07782615868546 25 75 3-4 20.9737186 63.2099558733319

4-5 -3.927417465-2 -23.2887242

PERDIDA DE CARGAh/Q0 ∆Q

h(m) lps27.6372429 0.21259418 6.16049992 136.160514.6816551 0.97877701 6.05353307 21.0535331

-56.7550235 1.13510047 6.16049992 -43.8395001-13.8297992 0.15366444 6.16049992 -83.8395001-28.2659246 2.48013609 6.16049992

5.62337322 0.10224315 0.10696685 55.106966814.6816551 0.97877701 0.10696685 15.1069668

-6.11161165 0.40744078 0.10696685 -14.8930332-14.6816551 0.97877701 -6.05353307 -21.0535331-0.48823843 2.46723794 0.10696685

h(m) lps30.1102406 0.22113785 -0.19825019 135.9622527.4982242 1.30610972 -2.7113961 18.342137

-44.4942656 1.01493551 -0.19825019 -44.0377503-12.1287626 0.14466645 -0.19825019 -84.03775030.98543662 2.68684953 -0.19825019

5.64363367 0.10241234 2.5131459 57.620112714.8760365 0.98471365 2.5131459 17.6201127

-6.03118503 0.40496687 2.5131459 -12.3798873-27.4982242 1.30610972 2.7113961 -18.342137

-13.009739 2.79820259 2.5131459

ℎ= 𝐽1000∗𝐿

h(m) lps30.0291419 0.22086382 1.21336226 137.17561221.3047245 1.16151812 1.27641225 19.6185492

-44.8674239 1.01884005 1.21336226 -42.824388-12.181903 0.14495751 1.21336226 -82.824388

-5.71546051 2.54617951 1.21336226

6.12926271 0.10637367 -0.06304999 57.557062819.7784462 1.1224926 -0.06304999 17.5570628

-4.28380232 0.34602919 -0.06304999 -12.4429372-21.3047245 1.16151812 -1.27641225 -19.61854920.31918208 2.73641358 -0.06304999

h(m) lps30.5270701 0.22254007 -0.04019664 137.13541524.1299548 1.22995613 -0.55892466 19.0596246

-42.6060406 0.99490133 -0.04019664 -42.8645847-11.8583396 0.14317449 -0.04019664 -82.86458470.19264473 2.59057202 -0.04019664

6.1168541 0.1062746 0.51872802 58.075790819.6476446 1.11907355 0.51872802 18.0757908

-4.32427333 0.34752834 0.51872802 -11.9242092-24.1299548 1.22995613 0.55892466 -19.0596246-2.68972945 2.80283262 0.51872802

h(m) lps30.5105143 0.22248457 0.24598217 137.381398

22.872927 1.20007228 0.2625441 19.3221687-42.6800948 0.99569598 0.24598217 -42.6186025

-11.8689945 0.14323362 0.24598217 -82.6186025-1.16564798 2.56148645 0.24598217

6.21928644 0.10708914 -0.01656194 58.059228820.7356289 1.1471492 -0.01656194 18.0592288

-3.99652005 0.33516018 -0.01656194 -11.9407712-22.872927 1.20007228 -0.2625441 -19.32216870.08546822 2.78947079 -0.01656194

h(m) lps30.6118917 0.22282414 -0.00835274 137.373045

23.459541 1.21412567 -0.11439022 19.2077785-42.2278488 0.99083138 -0.00835274 -42.6269552-11.8038608 0.14287171 -0.00835274 -82.62695520.03972321 2.5706529 -0.00835274

6.2160039 0.10706315 0.10603747 58.165266320.7004754 1.14625467 0.10603747 18.1652663

-4.00680084 0.33555629 0.10603747 -11.8347337-23.459541 1.21412567 0.11439022 -19.2077785

-0.54986258 2.80299978 0.10603747

h(m) lps30.6084468 0.22281261 0.05009342 137.42313823.2031143 1.20800614 0.05371286 19.2614913

-42.2431692 0.99099664 0.05009342 -42.5768618-11.8060698 0.142884 0.05009342 -82.5768618-0.23767795 2.56469939 0.05009342

6.23703409 0.10722953 -0.00361944 58.161646920.9260189 1.15197975 -0.00361944 18.1616469

-3.94118838 0.33301876 -0.00361944 -11.8383531-23.2031143 1.20800614 -0.05371286 -19.2614913

0.01875025 2.80023418 -0.00361944

h(m) lps30.6291098 0.22288175 -0.0017519 137.42138623.3233602 1.21088029 -0.02338177 19.2381095

-42.1513271 0.99000549 -0.0017519 -42.5786137-11.7928246 0.14281028 -0.0017519 -82.57861370.00831833 2.56657781 -0.0017519

6.23631572 0.10722385 0.02162986 58.183276720.9183018 1.15178441 0.02162986 18.1832767

-3.94341976 0.33310543 0.02162986 -11.8167233-23.3233602 1.21088029 0.02338177 -19.2381095

-0.1121625 2.80299399 0.02162986

h(m) lps30.628387 0.22287933 0.01021032 137.431597

23.2709808 1.20962929 0.01097681 19.2490864-42.1545375 0.99004016 0.01021032 -42.5684034-11.7932877 0.14281286 0.01021032 -82.5684034-0.04845735 2.56536164 0.01021032

6.2406093 0.10725778 -0.00076649 58.182510320.964439 1.15295165 -0.00076649 18.1825103

-3.93009363 0.33258743 -0.00076649 -11.8174897-23.2709808 1.20962929 -0.01097681 -19.24908640.00397384 2.80242616 -0.00076649

h(m) lps30.6325994 0.22289343 -0.00036793 137.43122923.2955641 1.21021661 -0.00477813 19.2443082

-42.1358283 0.98983812 -0.00036793 -42.5687713-11.7905888 0.14279783 -0.00036793 -82.56877130.00174642 2.56574599 -0.00036793

6.24045713 0.10725658 0.0044102 58.186920520.9628032 1.15291029 0.0044102 18.1869205-3.9305655 0.33260579 0.0044102 -11.8130795

-23.2955641 1.21021661 0.00477813 -19.2443082-0.02286925 2.80298928 0.0044102

h(m) lps30.6324476 0.22289292 0.0020815 137.4333123.2848617 1.20996096 0.00224273 19.2465509

-42.1365024 0.9898454 0.0020815 -42.5666898-11.7906861 0.14279837 0.0020815 -82.5666898-0.00987916 2.56549765 0.0020815

6.24133272 0.1072635 -0.00016122 58.186759220.9722157 1.15314826 -0.00016122 18.1867592

-3.92785078 0.33250015 -0.00016122 -11.8132408-23.2848617 1.20996096 -0.00224273 -19.2465509

0.000836 2.80287288 -0.00016122

h(m) lps30.6333064 0.22289579 -7.7238E-05 137.43323323.2898848 1.21008096 -0.00097638 19.2455746

-42.1326888 0.98980421 -7.7238E-05 -42.5667671-11.7901359 0.14279531 -7.7238E-05 -82.5667671

0.0003666 2.56557627 -7.7238E-05

6.24130071 0.10726325 0.00089914 58.187658420.9718716 1.15313956 0.00089914 18.1876584

-3.92795 0.33250402 0.00089914 -11.8123416-23.2898848 1.21008096 0.00097638 -19.2455746-0.00466251 2.80298779 0.00089914

h(m) lps30.6332746 0.22289568 0.00042436 137.43365723.2876979 1.21002872 0.0004582 19.2460328

-42.1328303 0.98980574 0.00042436 -42.5663427-11.7901563 0.14279542 0.00042436 -82.5663427

-0.0020141 2.56552556 0.00042436

6.24147923 0.10726466 -3.3844E-05 58.187624520.9737908 1.15318808 -3.3844E-05 18.1876245

-3.92739663 0.33248248 -3.3844E-05 -11.8123755-23.2876979 1.21002872 -0.0004582 -19.2460328

0.0001755 2.80296393 -3.3844E-05

h(m) lps30.6334496 0.22289627 -1.6202E-05 137.43364123.2887242 1.21005323 -0.00019951 19.2458333

-42.1320528 0.98979734 -1.6202E-05 -42.5663589-11.7900441 0.1427948 -1.6202E-05 -82.56635897.68988E-05 2.56554164 -1.6202E-05

6.24147251 0.1072646 0.00018331 58.187807820.9737186 1.15318625 0.00018331 18.1878078

-3.92741746 0.33248329 0.00018331 -11.8121922-23.2887242 1.21005323 0.00019951 -19.2458333-0.00095057 2.80298738 0.00018331

PRESIÓN HIDROSTÁTICAm H2O

7044.366550363516743.12507784941622.151359262016

24.077826158685463.2099558733319

METODO HARDY CROOS-DARCY n=2

DATOS: n=2 0.00003

g(m/seg2) 9.81v(m2/seg) 0.000001

pi 3.14159265ITERACIÓN 1

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

m m Q0 (m^3/seg) RED f0

11-2 500 0.2 0.1 636619.772 0.0152-5 200 0.1 0.02 254647.909 0.0155-1 600 0.2 -0.1 636619.772 0.015

2-3 600 0.15 0.02 169765.273 0.0153-4 200 0.1 -0.03 381971.863 0.0154-5 600 0.15 -0.07 594178.454 0.0155-2 200 0.1 -0.02 254647.909 0.015

ITERACIÓN 2

11-2 500 0.2 0.09612794 611969.493 0.0152-5 200 0.1 -0.00117699 14985.879 0.0155-1 600 0.2 -0.10387206 661270.052 0.015

2-3 600 0.15 0.03730493 316654.092 0.0153-4 200 0.1 -0.01269507 161638.634 0.0154-5 600 0.15 -0.05269507 447289.635 0.0155-2 200 0.1 0.00117699 14985.879 0.015

rugosidad absoluta(m)

CAUDAL SUPUESTO

𝑓= ቈ−2∗𝑙𝑜𝑔∗ቆ𝑘/𝐷3.7 + 2.51𝑅𝑒𝐷ඥ𝑓ቇ−2

𝑅𝑒𝐷= 4ȁ 𝑄0ȁ 𝑣𝐷𝜋 ℎ𝑖𝑗 =𝐾𝑄𝑖𝑗𝑛 𝐾= 8𝑓𝐿𝜋2𝑔𝐷5

ITERACIÓN 3

11-2 500 0.2 0.10345897 658640.236 0.0152-5 200 0.1 -0.0005659 7205.30782 0.0155-1 600 0.2 -0.09654103 614599.309 0.015

2-3 600 0.15 0.04402487 373694.701 0.0153-4 200 0.1 -0.00597513 76077.7203 0.0154-5 600 0.15 -0.04597513 390249.025 0.0155-2 200 0.1 0.0005659 7205.30782 0.015

ITERACIÓN 4

11-2 500 0.2 0.10463944 666155.346 0.0152-5 200 0.1 -0.0006339 8071.02151 0.0155-1 600 0.2 -0.09536056 607084.198 0.015

2-3 600 0.15 0.04527333 384291.991 0.0153-4 200 0.1 -0.00472667 60181.7852 0.0154-5 600 0.15 -0.04472667 379651.735 0.0155-2 200 0.1 0.0006339 8071.02151 0.015

ITERACIÓN 5

11-2 500 0.2 0.10477721 667032.444 0.0152-5 200 0.1 -0.00061896 7880.80578 0.0155-1 600 0.2 -0.09522279 606207.101 0.015

CAUDAL SUPUESTO

2-3 600 0.15 0.04539617 385334.645 0.0153-4 200 0.1 -0.00460383 58617.8053 0.0154-5 600 0.15 -0.04460383 378609.082 0.0155-2 200 0.1 0.00061896 7880.80578 0.015

ITERACIÓN 6

11-2 500 0.2 0.1047926 667130.427 0.0152-5 200 0.1 -0.00061472 7826.79693 0.0155-1 600 0.2 -0.0952074 606109.118 0.015

2-3 600 0.15 0.04540732 385429.283 0.0153-4 200 0.1 -0.00459268 58475.8486 0.0154-5 600 0.15 -0.04459268 378514.444 0.0155-2 200 0.1 0.00061472 7826.79693 0.015

ITERACIÓN 7

11-2 500 0.2 0.10479413 667140.167 0.0152-5 200 0.1 -0.00061425 7820.87162 0.0155-1 600 0.2 -0.09520587 606099.378 0.015

2-3 600 0.15 0.04540838 385438.319 0.0153-4 200 0.1 -0.00459162 58462.2936 0.0154-5 600 0.15 -0.04459162 378505.408 0.0155-2 200 0.1 0.00061425 7820.87162 0.015

ITERACIÓN 8

CAUDAL SUPUESTO

11-2 500 0.2 0.10479428 667141.114 0.0152-5 200 0.1 -0.0006142 7820.28838 0.0155-1 600 0.2 -0.09520572 606098.431 0.015

2-3 600 0.15 0.04540849 385439.193 0.0153-4 200 0.1 -0.00459151 58460.9835 0.0154-5 600 0.15 -0.04459151 378504.534 0.0155-2 200 0.1 0.0006142 7820.28838 0.015

CAUDAL SUPUESTO

copia del profe

COEFICIENTE FRICCIÓN(f)K h/Q0 ∆Q0

f1 f2 f3 f4 m0.01459829 0.01461679 0.014615922 0.01461596 1886.98599 18.86985987 188.698599 -0.0038720570.01738924 0.0172462 0.017254004 0.01725358 28512.1745 11.4048698 570.24349 -0.0211769880.01459829 0.01461679 0.014615922 0.01461596 2264.38318 -22.64383184 226.438318 -0.003872057

Σ 7.630897822 985.380407 -0.003872057

0.01770666 0.01747745 0.017495074 0.01749371 11420.8406 4.568336253 228.416813 0.0173049310.01668788 0.01660991 0.01661327 0.01661312 27453.8058 -24.70842522 823.614174 0.0173049310.01522027 0.01521104 0.01521142 0.0152114 9930.82905 -48.66106234 695.158033 0.0173049310.01738924 0.0172462 0.017254004 0.01725358 28512.1745 -11.4048698 570.24349 0.021176988

Σ -80.2060211 2317.43251 0.017304931

COEFICIENTE FRICCIÓN(f)K

hh/Q0 ∆Q0

f1 f2 f3 f4 m0.01465259 0.01466899 0.014668202 0.01466824 1893.73525 17.49921487 182.040875 0.0073310230.03101681 0.0280337 0.02841824 0.02836589 46875.6815 -0.064936937 55.1721232 0.0006110850.01454745 0.01456779 0.014566856 0.0145669 2256.78195 -24.34933261 234.416583 0.007331023

Σ -6.915054675 471.629581 0.007331023

0.01622556 0.01614969 0.01615416 0.0161539 10546.138 14.67661635 393.422955 0.0067199380.01843841 0.0181731 0.018191188 0.01818994 30059.5585 -4.844541745 381.608157 0.0067199380.01562067 0.01558935 0.015590886 0.01559081 10178.5259 -28.26342792 536.35812 0.0067199380.03101681 0.0280337 0.02841824 0.02836589 46875.6815 0.064936937 55.1721232 -0.000611085

Σ -18.36641637 1366.56136 0.006719938

PÉRDIDA DE CARGA(h)

ℎ𝑖𝑗 =𝐾𝑄𝑖𝑗𝑛 ∆𝑄= − σ ℎ𝑖𝑗𝑛𝑖=1𝑛σ (ℎ𝑖𝑗𝑄𝑖𝑗)𝑛𝑖=1

hh/Q0 ∆Q0

f1 f2 f3 f4 m0.01455272 0.01457287 0.014571946 0.01457199 1881.30882 20.13707381 194.638266 0.0011804710.03893941 0.03345396 0.034240356 0.03411807 56381.3729 -0.018055956 31.9064192 -6.7993E-050.01464662 0.01466326 0.014662462 0.0146625 2271.59301 -21.17163573 219.301937 0.001180471

Σ -1.052617868 445.846623 0.001180471

0.01591821 0.01586653 0.01586933 0.01586918 10360.2587 20.08014111 456.10904 0.0012484640.02093892 0.02029292 0.020351206 0.02034585 33622.2732 -1.200388474 200.89746 0.0012484640.01584314 0.01579688 0.015799336 0.01579921 10314.5775 -21.80205247 474.214045 0.0012484640.03893941 0.03345396 0.034240356 0.03411807 56381.3729 0.018055956 31.9064192 6.799299E-05

Σ -2.904243883 1163.12696 0.001248464

hh/Q0 ∆Q0

f1 f2 f3 f4 m0.01453776 0.01455843 0.014557487 0.01455753 1879.44211 20.57878562 196.663765 0.0001377740.03750986 0.0325133 0.033218704 0.03311119 54717.4646 -0.021986836 34.6852119 1.493951E-050.01466379 0.01467974 0.014678974 0.01467901 2274.15096 -20.68030324 216.864316 0.000137774

Σ -0.123504458 448.213292 0.000137774

0.01586953 0.01582139 0.015823964 0.01582383 10330.6509 21.17447417 467.703004 0.0001228350.02194681 0.0211194 0.021199341 0.02119145 35019.6542 -0.78238722 165.526221 0.0001228350.01589057 0.01584091 0.015843577 0.01584343 10343.4518 -20.69181348 462.628118 0.0001228350.03750986 0.0325133 0.033218704 0.03311119 54717.4646 0.021986836 34.6852119 -1.49395E-05

Σ -0.277739696 1130.54256 0.000122835

hh/Q0 ∆Q0

f1 f2 f3 f4 m0.01453603 0.01455676 0.014555817 0.01455586 1879.2265 20.63064466 196.900112 1.53911E-050.03780335 0.0327077 0.033429439 0.03331897 55060.8285 -0.021094234 34.0802873 4.241845E-060.01466582 0.01468169 0.014680923 0.01468096 2274.45287 -20.62332731 216.579745 1.53911E-05

Σ -0.013776883 447.560145 1.53911E-05

0.01586486 0.01581706 0.015819609 0.01581947 10327.8087 21.28367317 468.842943 1.114925E-050.02206773 0.02121763 0.021300352 0.02129212 35186.0195 -0.745777042 161.990511 1.114925E-050.01589536 0.01584534 0.015848038 0.01584789 10346.3628 -20.58410742 461.487425 1.114925E-050.03780335 0.0327077 0.033429439 0.03331897 55060.8285 0.021094234 34.0802873 -4.24185E-06

Σ -0.025117059 1126.40117 1.114925E-05

hh/Q0 ∆Q0

f1 f2 f3 f4 m0.01453584 0.01455658 0.014555631 0.01455567 1879.20244 20.63644193 196.926514 1.52998E-060.03788866 0.03276408 0.033490593 0.03337925 55160.4568 -0.020843745 33.9079709 4.653728E-070.01466605 0.0146819 0.014681141 0.01468118 2274.48664 -20.61696716 216.547954 1.52998E-06

Σ -0.001368973 447.382439 1.52998E-06

0.01586444 0.01581667 0.015819214 0.01581908 10327.5514 21.29359832 468.946404 1.064608E-060.02207895 0.02122673 0.021309713 0.02130145 35201.4366 -0.742494459 161.669019 1.064608E-060.01589579 0.01584575 0.015848444 0.0158483 10346.6277 -20.5743449 461.383882 1.064608E-060.03788866 0.03276408 0.033490593 0.03337925 55160.4568 0.020843745 33.9079709 -4.65373E-07

Σ -0.002397299 1125.90728 1.064608E-06

hh/Q0 ∆Q0

f1 f2 f3 f4 m0.01453582 0.01455656 0.014555612 0.01455566 1879.20005 20.63701827 196.929139 1.487038E-070.03789807 0.0327703 0.033497339 0.0333859 55171.446 -0.020816343 33.8890508 4.580707E-080.01466607 0.01468193 0.014681162 0.0146812 2274.49 -20.61633497 216.544794 1.487038E-07

Σ -0.000133049 447.362984 1.487038E-07

0.0158644 0.01581663 0.015819177 0.01581904 10327.5268 21.29454616 468.956284 1.028967E-070.02208002 0.0212276 0.021310608 0.02130234 35202.9116 -0.742181367 161.638316 1.028967E-070.01589583 0.01584579 0.015848482 0.01584834 10346.653 -20.57341283 461.373995 1.028967E-070.03789807 0.0327703 0.033497339 0.0333859 55171.446 0.020816343 33.8890508 -4.58071E-08

Σ -0.000231694 1125.85764 1.028967E-07

hh/Q0 ∆Q0

f1 f2 f3 f4 m0.01453581 0.01455656 0.01455561 0.01455565 1879.19982 20.63707428 196.929394 1.440974E-08

0.037899 0.03277091 0.033498004 0.03338656 55172.5284 -0.020813647 33.8871883 4.446326E-090.01466607 0.01468193 0.014681164 0.0146812 2274.49033 -20.61627353 216.544487 1.440974E-08

Σ -1.28927E-05 447.361069 1.440974E-08

0.0158644 0.01581662 0.015819173 0.01581904 10327.5244 21.29463777 468.957238 9.963412E-090.02208012 0.02122768 0.021310695 0.02130243 35203.0542 -0.74215111 161.635348 9.963412E-090.01589584 0.01584579 0.015848486 0.01584834 10346.6554 -20.57332274 461.373039 9.963412E-09

0.037899 0.03277091 0.033498004 0.03338656 55172.5284 0.020813647 33.8871883 -4.44633E-09Σ -2.24347E-05 1125.85281 9.963412E-09

0.09612794-0.00117699-0.10387206

0.03730493-0.01269507-0.052695070.00117699

0.10345897-0.0005659

-0.09654103

0.04402487-0.00597513-0.04597513

0.0005659

0.10463944-0.0006339

-0.09536056

0.04527333-0.00472667-0.04472667

0.0006339

0.10477721-0.00061896-0.09522279

0.04539617-0.00460383-0.044603830.00061896

0.1047926-0.00061472

-0.0952074

0.04540732-0.00459268-0.044592680.00061472

0.10479413-0.00061425-0.09520587

0.04540838-0.00459162-0.044591620.00061425

0.10479428-0.0006142

-0.09520572

0.04540849-0.00459151-0.04459151

0.0006142

Q1 Q(lps)

0.1047943 104.794295-0.0006142 -0.61419957-0.0952057 -95.2057045

0.0454085 45.4084951-0.0045915 -4.59150494-0.0445915 -44.59150490.0006142 0.61419957

METODO HARDY CROOS-DARCY n=2

DATOS: VISCOCIDAD CINEMÁTICA 0.000001RUGOSIDAD 0.00006n 2pi 3.14159265

ITERACIÓN 1

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.3 954929.659 0.0152-5 1400 0.2 0.05 318309.886 0.0155-4 1700 0.25 -0.05 254647.909 0.0154-1 1600 0.45 -0.7 1980594.85 0.015

24-5 1700 0.25 0.05 254647.909 0.0155-3 3800 0.2 -0.05 318309.886 0.0153-4 4100 0.35 -0.3 1091348.18 0.015

5-2 1400 0.2 -0.05 318309.886 0.0152-6 2700 0.5 0.15 381971.863 0.0156-3 1500 0.5 0.1 254647.909 0.0153-5 3800 0.2 0.05 318309.886 0.015

ITERACIÓN2

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.30846363 981870.231 0.0152-5 1400 0.2 0.07110191 452648.818 0.0155-4 1700 0.25 -0.08978196 457255.769 0.0154-1 1600 0.45 -0.69153637 1956647.67 0.015

24-5 1700 0.25 0.08978196 457255.769 0.0155-3 3800 0.2 0.01088387 69288.8701 0.0153-4 4100 0.35 -0.25175441 915839.056 0.015

CAUDAL SUPUESTO

5-2 1400 0.2 -0.07110191 452648.818 0.0152-6 2700 0.5 0.13736172 349788.749 0.0156-3 1500 0.5 0.08736172 222464.794 0.0153-5 3800 0.2 -0.01088387 69288.8701 0.015

ITERACIÓN 3

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.31161033 991886.474 0.0152-5 1400 0.2 0.05176005 329514.725 0.0155-4 1700 0.25 -0.11555158 588499.35 0.0154-1 1600 0.45 -0.68838967 1947744.35 0.015

24-5 1700 0.25 0.11555158 588499.35 0.0155-3 3800 0.2 0.01731163 110209.254 0.0153-4 4100 0.35 -0.2228381 810646.506 0.015

5-2 1400 0.2 -0.05176005 329514.725 0.0152-6 2700 0.5 0.15985027 407055.38 0.0156-3 1500 0.5 0.10985027 279731.425 0.0153-5 3800 0.2 -0.01731163 110209.254 0.015

ITERACIÓN4

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.33141545 1054928.15 0.0152-5 1400 0.2 0.05768893 367259.154 0.0155-4 1700 0.25 -0.1027144 523120.134 0.0154-1 1600 0.45 -0.66858455 1891707.3 0.015

24-5 1700 0.25 0.1027144 523120.134 0.015

CAUDAL SUPUESTO

2 5-3 3800 0.2 0.01040333 66229.6631 0.0153-4 4100 0.35 -0.21587015 785298.313 0.015

5-2 1400 0.2 -0.05768893 367259.154 0.0152-6 2700 0.5 0.17372652 442390.952 0.0156-3 1500 0.5 0.12372652 315066.997 0.0153-5 3800 0.2 -0.01040333 66229.6631 0.015

ITERACIÓN 5

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.34014812 1082725.11 0.0152-5 1400 0.2 0.05096607 324460.087 0.0155-4 1700 0.25 -0.10771027 548563.892 0.0154-1 1600 0.45 -0.65985188 1866998.89 0.015

24-5 1700 0.25 0.10771027 548563.892 0.0155-3 3800 0.2 0.00867634 55235.2929 0.0153-4 4100 0.35 -0.20214161 735356.251 0.015

5-2 1400 0.2 -0.05096607 324460.087 0.0152-6 2700 0.5 0.18918205 481748.143 0.0156-3 1500 0.5 0.13918205 354424.188 0.0153-5 3800 0.2 -0.00867634 55235.2929 0.015

ITERACIÓN6

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.35174598 1119642.22 0.0152-5 1400 0.2 0.05060804 322180.811 0.0155-4 1700 0.25 -0.10496271 534570.704 0.015

CAUDAL SUPUESTO

4-1 1600 0.45 -0.64825402 1834183.68 0.015

24-5 1700 0.25 0.10496271 534570.704 0.0155-3 3800 0.2 0.00557076 35464.5328 0.0153-4 4100 0.35 -0.19329131 703160.399 0.015

5-2 1400 0.2 -0.05060804 322180.811 0.0152-6 2700 0.5 0.20113793 512193.543 0.0156-3 1500 0.5 0.15113793 384869.589 0.0153-5 3800 0.2 -0.00557076 35464.5328 0.015

ITERACIÓN7

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.36004163 1146048.09 0.0152-5 1400 0.2 0.04739969 301755.817 0.0155-4 1700 0.25 -0.1056705 538175.42 0.0154-1 1600 0.45 -0.63995837 1810711.79 0.015

24-5 1700 0.25 0.1056705 538175.42 0.0155-3 3800 0.2 0.00307019 19545.4337 0.0153-4 4100 0.35 -0.18428788 670407.461 0.015

5-2 1400 0.2 -0.04739969 301755.817 0.0152-6 2700 0.5 0.21264193 541488.24 0.0156-3 1500 0.5 0.16264193 414164.285 0.0153-5 3800 0.2 -0.00307019 19545.4337 0.015

ITERACIÓN8

m m Q0( m^3/seg) f0

CAUDAL SUPUESTO

1-2 2700 0.4 0.36809183 1171672.7 0.0152-5 1400 0.2 0.04580631 291612.051 0.0155-4 1700 0.25 -0.10461711 532810.545 0.0154-1 1600 0.45 -0.63190817 1787934.37 0.015

24-5 1700 0.25 0.10461711 532810.545 0.0155-3 3800 0.2 0.00042342 2695.57361 0.0153-4 4100 0.35 -0.17729106 644954.255 0.015

5-2 1400 0.2 -0.04580631 291612.051 0.0152-6 2700 0.5 0.22228552 566045.428 0.0156-3 1500 0.5 0.17228552 438721.473 0.0153-5 3800 0.2 -0.00042342 2695.57361 0.015

ITERACIÓN 9

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.37458736 1192348.61 0.0152-5 1400 0.2 0.04320755 275067.802 0.0155-4 1700 0.25 -0.10438964 531652.075 0.0154-1 1600 0.45 -0.62541264 1769555.78 0.015

24-5 1700 0.25 0.10438964 531652.075 0.0155-3 3800 0.2 -0.00240281 15296.7638 0.0153-4 4100 0.35 -0.171023 622152.116 0.015

5-2 1400 0.2 -0.04320755 275067.802 0.0152-6 2700 0.5 0.23137981 589203.86 0.0156-3 1500 0.5 0.18137981 461879.905 0.0153-5 3800 0.2 0.00240281 15296.7638 0.015

CAUDAL SUPUESTO

ITERACIÓN10

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.38052488 1211248.31 0.0152-5 1400 0.2 0.04376425 278611.882 0.0155-4 1700 0.25 -0.10230161 521017.843 0.0154-1 1600 0.45 -0.61947512 1752756.05 0.015

24-5 1700 0.25 0.10230161 521017.843 0.0155-3 3800 0.2 -0.00393413 25045.4726 0.0153-4 4100 0.35 -0.16717351 608148.339 0.015

5-2 1400 0.2 -0.04376425 278611.882 0.0152-6 2700 0.5 0.23676063 602905.987 0.0156-3 1500 0.5 0.18676063 475582.033 0.0153-5 3800 0.2 0.00393413 25045.4726 0.015

ITERACIÓN 11

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.38407351 1222543.94 0.0152-5 1400 0.2 0.04275937 272214.625 0.0155-4 1700 0.25 -0.1023847 521441.013 0.0154-1 1600 0.45 -0.61592649 1742715.49 0.015

24-5 1700 0.25 0.1023847 521441.013 0.0155-3 3800 0.2 -0.00485592 30913.7679 0.0153-4 4100 0.35 -0.16354179 594936.785 0.015

5-2 1400 0.2 -0.04275937 272214.625 0.0152-6 2700 0.5 0.24131413 614501.393 0.0156-3 1500 0.5 0.19131413 487177.439 0.0153-5 3800 0.2 0.00485592 30913.7679 0.015

CAUDAL SUPUESTO

ITERACIÓN12

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.38715501 1232352.66 0.0152-5 1400 0.2 0.04261917 271322.088 0.0155-4 1700 0.25 -0.10187056 518822.482 0.0154-1 1600 0.45 -0.61284499 1733996.62 0.015

24-5 1700 0.25 0.10187056 518822.482 0.0155-3 3800 0.2 -0.00551027 35079.468 0.0153-4 4100 0.35 -0.16097444 585597.198 0.015

5-2 1400 0.2 -0.04261917 271322.088 0.0152-6 2700 0.5 0.24453583 622705.385 0.0156-3 1500 0.5 0.19453583 495381.43 0.0153-5 3800 0.2 0.00551027 35079.468 0.015

ITERACIÓN 13

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.38933888 1239304.16 0.0152-5 1400 0.2 0.04217652 268504.094 0.0155-4 1700 0.25 -0.10182266 518578.569 0.0154-1 1600 0.45 -0.61066112 1727817.52 0.015

24-5 1700 0.25 0.10182266 518578.569 0.0155-3 3800 0.2 -0.00600081 38202.3527 0.0153-4 4100 0.35 -0.15883845 577826.856 0.015

5-2 1400 0.2 -0.04217652 268504.094 0.0152-6 2700 0.5 0.24716236 629393.778 0.015

CAUDAL SUPUESTO

36-3 1500 0.5 0.19716236 502069.823 0.0153-5 3800 0.2 0.00600081 38202.3527 0.015

ITERACIÓN15

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39111881 1244969.84 0.0152-5 1400 0.2 0.04196858 267180.273 0.0155-4 1700 0.25 -0.10167607 517831.991 0.0154-1 1600 0.45 -0.60888119 1722781.35 0.015

24-5 1700 0.25 0.10167607 517831.991 0.0155-3 3800 0.2 -0.00635535 40459.3975 0.0153-4 4100 0.35 -0.15720512 571885.055 0.015

5-2 1400 0.2 -0.04196858 267180.273 0.0152-6 2700 0.5 0.24915023 634455.856 0.0156-3 1500 0.5 0.19915023 507131.902 0.0153-5 3800 0.2 0.00635535 40459.3975 0.015

ITERACIÓN16

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.3924719 1249276.86 0.0152-5 1400 0.2 0.0417348 265692.001 0.0155-4 1700 0.25 -0.10163422 517618.82 0.0154-1 1600 0.45 -0.6075281 1718952.89 0.015

24-5 1700 0.25 0.10163422 517618.82 0.0155-3 3800 0.2 -0.00663098 42214.1323 0.0153-4 4100 0.35 -0.15589388 567115.017 0.015

CAUDAL SUPUESTO

5-2 1400 0.2 -0.0417348 265692.001 0.0152-6 2700 0.5 0.2507371 638496.777 0.0156-3 1500 0.5 0.2007371 511172.823 0.0153-5 3800 0.2 0.00663098 42214.1323 0.015

ITERACIÓN17

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.3935502 1252709.18 0.0152-5 1400 0.2 0.04157692 264686.863 0.0155-4 1700 0.25 -0.10158474 517366.849 0.0154-1 1600 0.45 -0.6064498 1715901.94 0.015

24-5 1700 0.25 0.10158474 517366.849 0.0155-3 3800 0.2 -0.00683834 43534.2347 0.0153-4 4100 0.35 -0.15486506 563372.338 0.015

5-2 1400 0.2 -0.04157692 264686.863 0.0152-6 2700 0.5 0.25197328 641644.693 0.0156-3 1500 0.5 0.20197328 514320.739 0.0153-5 3800 0.2 0.00683834 43534.2347 0.015

ITERACIÓN 18

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39439218 1255389.3 0.0152-5 1400 0.2 0.04143816 263803.531 0.0155-4 1700 0.25 -0.10156134 517247.648 0.0154-1 1600 0.45 -0.60560782 1713519.61 0.015

CAUDAL SUPUESTO

24-5 1700 0.25 0.10156134 517247.648 0.0155-3 3800 0.2 -0.0070005 44566.5679 0.0153-4 4100 0.35 -0.15404648 560394.495 0.015

5-2 1400 0.2 -0.04143816 263803.531 0.0152-6 2700 0.5 0.25295402 644142.117 0.0156-3 1500 0.5 0.20295402 516818.162 0.0153-5 3800 0.2 0.0070005 44566.5679 0.015

ITERACIÓN19

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39505968 1257514.01 0.0152-5 1400 0.2 0.04133281 263132.821 0.0155-4 1700 0.25 -0.10154151 517146.656 0.0154-1 1600 0.45 -0.60494032 1711630.98 0.015

24-5 1700 0.25 0.10154151 517146.656 0.0155-3 3800 0.2 -0.00712568 45363.5176 0.0153-4 4100 0.35 -0.15339881 558038.389 0.015

5-2 1400 0.2 -0.04133281 263132.821 0.0152-6 2700 0.5 0.25372687 646110.171 0.0156-3 1500 0.5 0.20372687 518786.216 0.0153-5 3800 0.2 0.00712568 45363.5176 0.015

ITERACIÓN 20

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.3955862 1259189.99 0.0152-5 1400 0.2 0.04124655 262583.679 0.0155-4 1700 0.25 -0.10152951 517085.539 0.015

CAUDAL SUPUESTO

4-1 1600 0.45 -0.6044138 1710141.22 0.015

24-5 1700 0.25 0.10152951 517085.539 0.0155-3 3800 0.2 -0.00722394 45989.0561 0.0153-4 4100 0.35 -0.15288429 556166.639 0.015

5-2 1400 0.2 -0.04124655 262583.679 0.0152-6 2700 0.5 0.25433965 647670.611 0.0156-3 1500 0.5 0.20433965 520346.656 0.0153-5 3800 0.2 0.00722394 45989.0561 0.015

ITERACIÓN21

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39600359 1260518.59 0.0152-5 1400 0.2 0.04117875 262152.076 0.0155-4 1700 0.25 -0.10152041 517039.201 0.0154-1 1600 0.45 -0.60399641 1708960.24 0.015

24-5 1700 0.25 0.10152041 517039.201 0.0155-3 3800 0.2 -0.00730084 46478.5809 0.0153-4 4100 0.35 -0.152476 554681.337 0.015

5-2 1400 0.2 -0.04117875 262152.076 0.0152-6 2700 0.5 0.25482484 648906.132 0.0156-3 1500 0.5 0.20482484 521582.178 0.0153-5 3800 0.2 0.00730084 46478.5809 0.015

ITERACIÓN 22

CAUDAL SUPUESTO

CIRCUITO TRAMOm m Q0( m^3/seg)

REYNOLDSf0

1-2 2700 0.4 0.3963342 1261570.95 0.0152-5 1400 0.2 0.04112436 261805.798 0.0155-4 1700 0.25 -0.10151422 517007.656 0.0154-1 1600 0.45 -0.6036658 1708024.81 0.015

24-5 1700 0.25 0.10151422 517007.656 0.0155-3 3800 0.2 -0.00736143 46864.2912 0.0153-4 4100 0.35 -0.15215158 553501.177 0.015

5-2 1400 0.2 -0.04112436 261805.798 0.0152-6 2700 0.5 0.25520984 649886.528 0.0156-3 1500 0.5 0.20520984 522562.574 0.0153-5 3800 0.2 0.00736143 46864.2912 0.015

ITERACIÓN23

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39659654 1262405.99 0.0152-5 1400 0.2 0.0410812 261531.064 0.0155-4 1700 0.25 -0.10150962 516984.266 0.0154-1 1600 0.45 -0.60340346 1707282.55 0.015

24-5 1700 0.25 0.10150962 516984.266 0.0155-3 3800 0.2 -0.00740917 47168.2626 0.0153-4 4100 0.35 -0.15189384 552563.548 0.015

5-2 1400 0.2 -0.0410812 261531.064 0.0152-6 2700 0.5 0.25551533 650664.457 0.0156-3 1500 0.5 0.20551533 523340.503 0.0153-5 3800 0.2 0.00740917 47168.2626 0.015

CAUDAL SUPUESTO

ITERACIÓN24

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39680473 1263068.69 0.0152-5 1400 0.2 0.04104678 261311.911 0.0155-4 1700 0.25 -0.10150631 516967.371 0.0154-1 1600 0.45 -0.60319527 1706693.49 0.015

24-5 1700 0.25 0.10150631 516967.371 0.0155-3 3800 0.2 -0.00744692 47408.5344 0.0153-4 4100 0.35 -0.15168896 551818.248 0.015

5-2 1400 0.2 -0.04104678 261311.911 0.0152-6 2700 0.5 0.25575795 651282.276 0.0156-3 1500 0.5 0.20575795 523958.322 0.0153-5 3800 0.2 0.00744692 47408.5344 0.015

ITERACIÓN25

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39697008 1263595.01 0.0152-5 1400 0.2 0.0410194 261137.625 0.0155-4 1700 0.25 -0.10150383 516954.738 0.0154-1 1600 0.45 -0.60302992 1706225.65 0.015

24-5 1700 0.25 0.10150383 516954.738 0.0155-3 3800 0.2 -0.00747677 47598.6114 0.0153-4 4100 0.35 -0.1515261 551225.763 0.015

5-2 1400 0.2 -0.0410194 261137.625 0.0152-6 2700 0.5 0.25595068 651773.047 0.0156-3 1500 0.5 0.20595068 524449.092 0.0153-5 3800 0.2 0.00747677 47598.6114 0.015

CAUDAL SUPUESTO

ITERACIÓN 26

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39710143 1264013.12 0.0152-5 1400 0.2 0.0409976 260998.832 0.0155-4 1700 0.25 -0.10150197 516945.301 0.0154-1 1600 0.45 -0.60289857 1705853.99 0.015

24-5 1700 0.25 0.10150197 516945.301 0.0155-3 3800 0.2 -0.00750043 47749.2008 0.0153-4 4100 0.35 -0.15139659 550754.656 0.015

5-2 1400 0.2 -0.0409976 260998.832 0.0152-6 2700 0.5 0.25610383 652163.057 0.0156-3 1500 0.5 0.20610383 524839.103 0.0153-5 3800 0.2 0.00750043 47749.2008 0.015

ITERACIÓN27

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39720582 1264345.41 0.0152-5 1400 0.2 0.04098025 260888.397 0.0155-4 1700 0.25 -0.10150057 516938.135 0.0154-1 1600 0.45 -0.60279418 1705558.63 0.015

24-5 1700 0.25 0.10150057 516938.135 0.0155-3 3800 0.2 -0.00751918 47868.5928 0.0153-4 4100 0.35 -0.15129361 550380.022 0.015

5-2 1400 0.2 -0.04098025 260888.397 0.015

CAUDAL SUPUESTO

3 2-6 2700 0.5 0.25622557 652473.058 0.0156-3 1500 0.5 0.20622557 525149.103 0.0153-5 3800 0.2 0.00751918 47868.5928 0.015

ITERACIÓN 28

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.3972888 1264609.53 0.0152-5 1400 0.2 0.04096645 260800.498 0.0155-4 1700 0.25 -0.10149949 516932.667 0.0154-1 1600 0.45 -0.6027112 1705323.85 0.015

24-5 1700 0.25 0.10149949 516932.667 0.0155-3 3800 0.2 -0.00753406 47963.3268 0.0153-4 4100 0.35 -0.15121171 550082.07 0.015

5-2 1400 0.2 -0.04096645 260800.498 0.0152-6 2700 0.5 0.25632236 652719.518 0.0156-3 1500 0.5 0.20632236 525395.563 0.0153-5 3800 0.2 0.00753406 47963.3268 0.015

ITERACIÓN29

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39735477 1264819.52 0.0152-5 1400 0.2 0.04095546 260730.554 0.0155-4 1700 0.25 -0.10149867 516928.456 0.0154-1 1600 0.45 -0.60264523 1705137.19 0.015

24-5 1700 0.25 0.10149867 516928.456 0.0155-3 3800 0.2 -0.00754588 48038.5343 0.0153-4 4100 0.35 -0.15114656 549845.086 0.015

CAUDAL SUPUESTO

5-2 1400 0.2 -0.04095546 260730.554 0.0152-6 2700 0.5 0.25639931 652915.489 0.0156-3 1500 0.5 0.20639931 525591.535 0.0153-5 3800 0.2 0.00754588 48038.5343 0.015

ITERACIÓN 30

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39740723 1264986.5 0.0152-5 1400 0.2 0.04094672 260674.894 0.0155-4 1700 0.25 -0.10149803 516925.197 0.0154-1 1600 0.45 -0.60259277 1704988.76 0.015

24-5 1700 0.25 0.10149803 516925.197 0.0155-3 3800 0.2 -0.00755526 48098.2684 0.0153-4 4100 0.35 -0.15109474 549656.582 0.015

5-2 1400 0.2 -0.04094672 260674.894 0.0152-6 2700 0.5 0.25646051 653071.336 0.0156-3 1500 0.5 0.20646051 525747.381 0.0153-5 3800 0.2 0.00755526 48098.2684 0.015

ITERACIÓN31

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39744895 1265119.29 0.0152-5 1400 0.2 0.04093976 260630.604 0.0155-4 1700 0.25 -0.10149753 516922.66 0.0154-1 1600 0.45 -0.60255105 1704870.73 0.015

CAUDAL SUPUESTO

24-5 1700 0.25 0.10149753 516922.66 0.0155-3 3800 0.2 -0.00756271 48145.729 0.0153-4 4100 0.35 -0.15105352 549506.632 0.015

5-2 1400 0.2 -0.04093976 260630.604 0.0152-6 2700 0.5 0.25650919 653195.285 0.0156-3 1500 0.5 0.20650919 525871.33 0.0153-5 3800 0.2 0.00756271 48145.729 0.015

ITERACIÓN32

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39748213 1265224.91 0.0152-5 1400 0.2 0.04093422 260595.362 0.0155-4 1700 0.25 -0.10149714 516920.678 0.0154-1 1600 0.45 -0.60251787 1704776.85 0.015

24-5 1700 0.25 0.10149714 516920.678 0.0155-3 3800 0.2 -0.00756864 48183.4488 0.0153-4 4100 0.35 -0.15102073 549387.347 0.015

5-2 1400 0.2 -0.04093422 260595.362 0.0152-6 2700 0.5 0.2565479 653293.873 0.0156-3 1500 0.5 0.2065479 525969.918 0.0153-5 3800 0.2 0.00756864 48183.4488 0.015

ITERACIÓN33

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39750852 1265308.91 0.0152-5 1400 0.2 0.04092982 260567.321 0.015

CAUDAL SUPUESTO

15-4 1700 0.25 -0.10149683 516919.123 0.0154-1 1600 0.45 -0.60249148 1704702.18 0.015

24-5 1700 0.25 0.10149683 516919.123 0.0155-3 3800 0.2 -0.00757335 48213.4337 0.0153-4 4100 0.35 -0.15099465 549292.452 0.015

5-2 1400 0.2 -0.04092982 260567.321 0.0152-6 2700 0.5 0.2565787 653372.293 0.0156-3 1500 0.5 0.2065787 526048.339 0.0153-5 3800 0.2 0.00757335 48213.4337 0.015

ITERACIÓN34

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39752951 1265375.73 0.0152-5 1400 0.2 0.04092631 260545.009 0.0155-4 1700 0.25 -0.10149659 516917.901 0.0154-1 1600 0.45 -0.60247049 1704642.78 0.015

24-5 1700 0.25 0.10149659 516917.901 0.0155-3 3800 0.2 -0.00757709 48237.2741 0.0153-4 4100 0.35 -0.1509739 549216.958 0.015

5-2 1400 0.2 -0.04092631 260545.009 0.0152-6 2700 0.5 0.2566032 653434.675 0.0156-3 1500 0.5 0.2066032 526110.721 0.0153-5 3800 0.2 0.00757709 48237.2741 0.015

ITERACIÓN24

CAUDAL SUPUESTO

CIRCUITO TRAMOm m Q0( m^3/seg)

REYNOLDSf0

1-2 2700 0.4 0.39754621 1265428.89 0.0152-5 1400 0.2 0.04092353 260527.255 0.0155-4 1700 0.25 -0.1014964 516916.937 0.0154-1 1600 0.45 -0.60245379 1704595.53 0.015

24-5 1700 0.25 0.1014964 516916.937 0.0155-3 3800 0.2 -0.00758007 48256.2318 0.0153-4 4100 0.35 -0.15095739 549156.897 0.015

5-2 1400 0.2 -0.04092353 260527.255 0.0152-6 2700 0.5 0.25662268 653484.301 0.0156-3 1500 0.5 0.20662268 526160.346 0.0153-5 3800 0.2 0.00758007 48256.2318 0.015

ITERACIÓN25

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39755949 1265471.18 0.0152-5 1400 0.2 0.04092131 260513.13 0.0155-4 1700 0.25 -0.10149625 516916.176 0.0154-1 1600 0.45 -0.60244051 1704557.94 0.015

24-5 1700 0.25 0.10149625 516916.176 0.0155-3 3800 0.2 -0.00758244 48271.3085 0.0153-4 4100 0.35 -0.15094425 549109.114 0.015

5-2 1400 0.2 -0.04092131 260513.13 0.0152-6 2700 0.5 0.25663819 653523.779 0.0156-3 1500 0.5 0.20663819 526199.825 0.0153-5 3800 0.2 0.00758244 48271.3085 0.015

CAUDAL SUPUESTO

ITERACIÓN 26

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39757006 1265504.82 0.0152-5 1400 0.2 0.04091954 260501.891 0.0155-4 1700 0.25 -0.10149614 516915.574 0.0154-1 1600 0.45 -0.60242994 1704528.04 0.015

24-5 1700 0.25 0.10149614 516915.574 0.0155-3 3800 0.2 -0.00758432 48283.2998 0.0153-4 4100 0.35 -0.1509338 549071.098 0.015

5-2 1400 0.2 -0.04091954 260501.891 0.0152-6 2700 0.5 0.25665052 653555.187 0.0156-3 1500 0.5 0.20665052 526231.233 0.0153-5 3800 0.2 0.00758432 48283.2998 0.015

ITERACIÓN27

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39757847 1265531.58 0.0152-5 1400 0.2 0.04091814 260492.949 0.0155-4 1700 0.25 -0.10149604 516915.098 0.0154-1 1600 0.45 -0.60242153 1704504.25 0.015

24-5 1700 0.25 0.10149604 516915.098 0.0155-3 3800 0.2 -0.00758582 48292.8378 0.0153-4 4100 0.35 -0.15092549 549040.853 0.015

5-2 1400 0.2 -0.04091814 260492.949 0.0152-6 2700 0.5 0.25666033 653580.174 0.0156-3 1500 0.5 0.20666033 526256.22 0.0153-5 3800 0.2 0.00758582 48292.8378 0.015

CAUDAL SUPUESTO

ITERACIÓN 28

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39758516 1265552.87 0.0152-5 1400 0.2 0.04091702 260485.834 0.0155-4 1700 0.25 -0.10149597 516914.72 0.0154-1 1600 0.45 -0.60241484 1704485.33 0.015

24-5 1700 0.25 0.10149597 516914.72 0.0155-3 3800 0.2 -0.00758701 48300.4249 0.0153-4 4100 0.35 -0.15091887 549016.789 0.015

5-2 1400 0.2 -0.04091702 260485.834 0.0152-6 2700 0.5 0.25666814 653600.053 0.0156-3 1500 0.5 0.20666814 526276.099 0.0153-5 3800 0.2 0.00758701 48300.4249 0.015

ITERACIÓN29

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39759048 1265569.81 0.0152-5 1400 0.2 0.04091613 260480.173 0.0155-4 1700 0.25 -0.10149591 516914.42 0.0154-1 1600 0.45 -0.60240952 1704470.27 0.015

24-5 1700 0.25 0.10149591 516914.42 0.0155-3 3800 0.2 -0.00758796 48306.4604 0.0153-4 4100 0.35 -0.15091361 548997.644 0.015

5-2 1400 0.2 -0.04091613 260480.173 0.015

CAUDAL SUPUESTO

3 2-6 2700 0.5 0.25667435 653615.869 0.0156-3 1500 0.5 0.20667435 526291.914 0.0153-5 3800 0.2 0.00758796 48306.4604 0.015

ITERACIÓN 30

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39759472 1265583.29 0.0152-5 1400 0.2 0.04091542 260475.669 0.0155-4 1700 0.25 -0.10149586 516914.183 0.0154-1 1600 0.45 -0.60240528 1704458.29 0.015

24-5 1700 0.25 0.10149586 516914.183 0.0155-3 3800 0.2 -0.00758872 48311.2617 0.0153-4 4100 0.35 -0.15090942 548982.412 0.015

5-2 1400 0.2 -0.04091542 260475.669 0.0152-6 2700 0.5 0.25667929 653628.452 0.0156-3 1500 0.5 0.20667929 526304.498 0.0153-5 3800 0.2 0.00758872 48311.2617 0.015

ITERACIÓN31

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39759808 1265594.01 0.0152-5 1400 0.2 0.04091486 260472.085 0.0155-4 1700 0.25 -0.10149583 516913.994 0.0154-1 1600 0.45 -0.60240192 1704448.76 0.015

24-5 1700 0.25 0.10149583 516913.994 0.0155-3 3800 0.2 -0.00758932 48315.0814 0.015

CAUDAL SUPUESTO

23-4 4100 0.35 -0.15090609 548970.293 0.015

5-2 1400 0.2 -0.04091486 260472.085 0.0152-6 2700 0.5 0.25668322 653638.463 0.0156-3 1500 0.5 0.20668322 526314.509 0.0153-5 3800 0.2 0.00758932 48315.0814 0.015

ITERACIÓN32

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.39760076 1265602.54 0.0152-5 1400 0.2 0.04091441 260469.234 0.0155-4 1700 0.25 -0.1014958 516913.844 0.0154-1 1600 0.45 -0.60239924 1704441.18 0.015

24-5 1700 0.25 0.1014958 516913.844 0.0155-3 3800 0.2 -0.00758979 48318.1202 0.0153-4 4100 0.35 -0.15090344 548960.651 0.015

5-2 1400 0.2 -0.04091441 260469.234 0.0152-6 2700 0.5 0.25668635 653646.428 0.0156-3 1500 0.5 0.20668635 526322.474 0.0153-5 3800 0.2 0.00758979 48318.1202 0.015

ITERACIÓN43

m m Q0( m^3/seg) f0

1-2 2700 0.4 0.3976029 1265609.33 0.0152-5 1400 0.2 0.04091406 260466.965 0.0155-4 1700 0.25 -0.10149577 516913.725 0.0154-1 1600 0.45 -0.6023971 1704435.14 0.015

CAUDAL SUPUESTO

24-5 1700 0.25 0.10149577 516913.725 0.0155-3 3800 0.2 -0.00759017 48320.5378 0.0153-4 4100 0.35 -0.15090133 548952.98 0.015

5-2 1400 0.2 -0.04091406 260466.965 0.0152-6 2700 0.5 0.25668884 653652.765 0.0156-3 1500 0.5 0.20668884 526328.811 0.0153-5 3800 0.2 0.00759017 48320.5378 0.015

COEFIIENTE DE FRICCIONK h/Q ∆Q

f1 f2 f3 f4 h0.01412122 0.01415203 0.0141509 0.014150943 308.297803 27.7468023 92.4893409 0.00846363

0.0169786 0.0168755 0.01688046 0.016880223 6102.07415 15.2551854 305.103707 0.021101910.01697542 0.01684638 0.01685419 0.016853716 2424.18517 -6.06046292 121.209258 -0.039781960.01331174 0.01334819 0.01334733 0.013347352 95.6255128 -46.8565013 66.937859 0.00846363

Σ -9.91497654 585.740166 0.00846363

0.01697542 0.01684638 0.01685419 0.016853716 2424.18517 6.06046292 121.209258 0.039781960.0169786 0.0168755 0.01688046 0.016880223 16562.7727 -41.4069317 828.138635 0.06088387

0.01426492 0.01428659 0.01428593 0.014285946 921.454431 -82.9308987 276.436329 0.04824559Σ -118.277368 1225.78422 0.04824559

0.0169786 0.0168755 0.01688046 0.016880223 6102.07415 -15.2551854 305.103707 -0.021101910.01512879 0.01512019 0.01512076 0.015120723 107.946246 2.42879054 16.191937 -0.012638280.01604534 0.01596131 0.01596781 0.015967306 63.3277597 0.6332776 6.33277597 -0.01263828

0.0169786 0.0168755 0.01688046 0.016880223 16562.7727 41.4069317 828.138635 -0.06088387Σ 29.2138145 1155.76705 -0.01263828

f1 f2 f3 f4 h0.01409344 0.0141246 0.01412348 0.014123523 307.700422 29.2776371 94.9143893 0.00314670.01645004 0.0163905 0.0163928 0.016392714 5925.8432 29.9579913 421.33877 -0.019341860.01594342 0.01590032 0.01590221 0.015902129 2287.3119 -18.4375646 205.359346 -0.025769620.01331902 0.01335567 0.0133548 0.013354819 95.6790071 -45.7558588 66.1655132 0.0031467

Σ -4.95779502 787.778018 0.0031467

0.01594342 0.01590032 0.01590221 0.015902129 2287.3119 18.4375646 205.359346 0.025769620.0213264 0.02061234 0.02067861 0.020672342 20283.5762 2.40276469 220.763812 0.00642776

0.01442549 0.01444478 0.01444411 0.014444135 931.657743 -59.0487311 234.548945 0.02891631Σ -38.2084018 660.672103 0.02891631

PERDIDA DE CARGA(m)

0.01645004 0.0163905 0.0163928 0.016392714 5925.8432 -29.9579913 421.33877 0.019341860.01531066 0.01528901 0.0152905 0.015290402 109.157575 2.05961157 14.9940723 0.022488550.01639753 0.01627872 0.01628832 0.016287537 64.5978232 0.49301512 5.64337696 0.02248855

0.0213264 0.02061234 0.02067861 0.020672342 20283.5762 -2.40276469 220.763812 -0.00642776Σ -29.8081293 662.740032 0.02248855

f1 f2 f3 f4 h0.01408345 0.01411473 0.01411361 0.014113654 307.485415 29.8571398 95.8156304 0.019805130.01692046 0.01682261 0.01682723 0.016827008 6082.83723 16.2965474 314.847971 0.005928880.01561444 0.01559086 0.01559174 0.015591705 2242.66141 -29.9443896 259.143063 0.012837180.01332177 0.01335849 0.01335762 0.013357637 95.6991972 -45.3499685 65.8783392 0.01980513

Σ -29.1406708 735.685004 0.01980513

0.01561444 0.01559086 0.01559174 0.015591705 2242.66141 29.9443896 259.143063 -0.012837180.01957807 0.01915285 0.0191867 0.019183974 18823.1993 5.6411717 325.860245 -0.00690830.01455089 0.01456734 0.01456673 0.01456675 939.566517 -46.6558831 209.371215 0.00696795

Σ -11.0703218 794.374522 0.00696795

0.01692046 0.01682261 0.01682723 0.016827008 6082.83723 -16.2965474 314.847971 -0.005928880.01500298 0.01500279 0.0150028 0.015002802 107.104412 2.73674372 17.1206695 0.013876250.01581466 0.01575178 0.01575649 0.015756133 62.4902266 0.75407473 6.8645685 0.013876250.01957807 0.01915285 0.0191867 0.019183974 18823.1993 -5.6411717 325.860245 0.0069083

Σ -18.4469006 664.693454 0.01387625

f1 f2 f3 f4 h0.01402446 0.0140563 0.01405522 0.014055254 306.213083 33.6332823 101.483748 0.00873267

0.0167473 0.01666443 0.01666809 0.016667926 6025.33019 20.0523772 347.59487 -0.006722860.0157603 0.0157286 0.01572988 0.015729824 2262.52801 -23.8702307 232.394203 -0.00499587

0.01333961 0.0133768 0.0133759 0.01337592 95.8301829 -42.8365993 64.0705794 0.00873267Σ -13.0211705 745.5434 0.00873267

0.0157603 0.0157286 0.01572988 0.015729824 2262.52801 23.8702307 232.394203 0.00499587

PERDIDA DE CARGA(m)

0.02152039 0.02077145 0.02084188 0.020835123 20443.2958 2.21256357 212.678376 -0.001726990.0145855 0.01460103 0.01460043 0.014600457 941.740665 -43.8850405 203.293697 0.01372854

Σ -17.8022463 648.366276 0.01372854

0.0167473 0.01666443 0.01666809 0.016667926 6025.33019 -20.0523772 347.59487 0.006722860.01484526 0.01485486 0.01485426 0.014854296 106.044231 3.20051076 18.4226953 0.015455530.01553873 0.01549931 0.01550213 0.015501931 61.4820404 0.94118256 7.60695893 0.015455530.02152039 0.02077145 0.02084188 0.020835123 20443.2958 -2.21256357 212.678376 0.00172699

Σ -18.1232474 586.3029 0.01545553

f1 f2 f3 f4 h0.0140004 0.01403241 0.01403134 0.014031373 305.692795 35.3688847 103.980831 0.01159785

0.01694626 0.0168461 0.01685086 0.016850637 6091.37873 15.8226024 310.453642 -0.000358030.01569991 0.01567168 0.01567278 0.015672739 2254.31711 -26.1534642 242.813101 0.002747560.01334779 0.01338519 0.01338427 0.013384294 95.8901751 -41.7510135 63.2733119 0.01159785

Σ -16.7129906 720.520886 0.01159785

0.01569991 0.01567168 0.01567278 0.015672739 2254.31711 26.1534642 242.813101 -0.002747560.02234662 0.02144344 0.02153274 0.021523706 21118.9301 1.58980914 183.235008 -0.003105580.01465976 0.0146731 0.01467257 0.014672592 946.393422 -38.6707987 191.305487 0.0088503

Σ -10.9275253 617.353596 0.0088503

0.01694626 0.0168461 0.01685086 0.016850637 6091.37873 -15.8226024 310.453642 0.000358030.01469172 0.01471 0.01470891 0.014708971 105.006764 3.75817624 19.8653952 0.011955880.01528288 0.01526329 0.01526463 0.015264538 60.5405185 1.17276937 8.42615368 0.011955880.02234662 0.02144344 0.02153274 0.021523706 21118.9301 -1.58980914 183.235008 0.00310558

Σ -12.481466 521.980199 0.01195588

f1 f2 f3 f4 h0.01397009 0.01400227 0.01400121 0.014001246 305.036454 37.7407062 107.295346 0.008295650.01695812 0.01685689 0.01686172 0.016861492 6095.30297 15.6111319 308.471358 -0.00320835

0.0157325 0.01570241 0.01570361 0.015703562 2258.75063 -24.8850418 237.084592 -0.00070778

PERDIDA DE CARGA(m)

0.01335896 0.01339664 0.0133957 0.013395727 95.9720849 -40.3306638 62.2142901 0.00829565Σ -11.8638675 715.065586 0.00829565

0.0157325 0.01570241 0.01570361 0.015703562 2258.75063 24.8850418 237.084592 0.000707780.02470435 0.02331434 0.02346716 0.023449807 23008.8087 0.71403972 128.176454 -0.002500570.01471248 0.0147241 0.01472363 0.014723647 949.686483 -35.4817406 183.566145 0.00900343

Σ -9.88265905 548.827191 0.00900343

0.01695812 0.01685689 0.01686172 0.016861492 6095.30297 -15.6111319 308.471358 0.003208350.01458615 0.0146099 0.01460852 0.014608596 104.290189 4.21921274 20.9767131 0.011504

0.0151136 0.01510604 0.01510654 0.015106507 59.9137529 1.36859039 9.05524084 0.0115040.02470435 0.02331434 0.02346716 0.023449807 23008.8087 -0.71403972 128.176454 0.00250057

Σ -10.7373685 466.679766 0.011504

f1 f2 f3 f4 h0.01394948 0.01398174 0.0139807 0.013980733 304.589539 39.4839339 109.664913 0.008050210.01707118 0.01695951 0.01696506 0.016964781 6132.6411 13.7783942 290.685305 -0.001593380.01572396 0.01569436 0.01569554 0.015695491 2257.58979 -25.2088207 238.560634 0.001053390.01336718 0.01340506 0.01340411 0.013404132 96.0322998 -39.3297133 61.4566743 0.00805021

Σ -11.2762058 700.367527 0.00805021

0.01572396 0.01569436 0.01569554 0.015695491 2257.58979 25.2088207 238.560634 -0.001053390.02878454 0.02640911 0.02670212 0.026664248 26162.7979 0.2466122 80.3247486 -0.002646770.01477059 0.01478017 0.01477976 0.014779781 953.307205 -32.3762395 175.68296 0.00699682

Σ -6.92080666 494.568342 0.00699682

0.01707118 0.01695951 0.01696506 0.016964781 6132.6411 -13.7783942 290.685305 0.001593380.01449376 0.01452193 0.01452033 0.014520423 103.660727 4.68718483 22.0426175 0.009643590.01496954 0.01497149 0.01497137 0.014971374 59.3778056 1.5706854 9.65732117 0.009643590.02878454 0.02640911 0.02670212 0.026664248 26162.7979 -0.2466122 80.3247486 0.00264677

Σ -7.76713616 402.709992 0.00964359

f1 f2 f3 f4 h

PERDIDA DE CARGA(m)

0.01393027 0.01396259 0.01396156 0.013961596 304.172621 41.2128345 111.963458 0.006495530.0171323 0.01701483 0.01702078 0.017020477 6152.77493 12.9098655 281.83594 -0.002598760.0157367 0.01570637 0.01570758 0.015707537 2259.3223 -24.7276926 236.363761 0.00022747

0.01337535 0.01341342 0.01341245 0.013412476 96.0920819 -38.3703304 60.7213713 0.00649553Σ -8.97532293 690.88453 0.00649553

0.0157367 0.01570637 0.01570758 0.015707537 2259.3223 24.7276926 236.363761 -0.000227470.05591896 0.04355126 0.0455536 0.045183113 44333.3963 0.00794828 18.7716339 -0.002826230.01481925 0.014827 0.01482666 0.014826676 956.331964 -30.0595412 169.549108 0.00626807

Σ -5.3239004 424.684503 0.00626807

0.0171323 0.01701483 0.01702078 0.017020477 6152.77493 -12.9098655 281.83594 0.002598760.01442237 0.01445372 0.01445198 0.014452077 103.172806 5.09785627 22.9338208 0.00909430.01486069 0.01486937 0.01486883 0.014868861 58.9712272 1.75040167 10.1598885 0.00909430.05591896 0.04355126 0.0455536 0.045183113 44333.3963 -0.00794828 18.7716339 0.00282623

Σ -6.06955587 333.701283 0.0090943

f1 f2 f3 f4 h0.01391532 0.01394766 0.01394665 0.013946678 303.847613 42.6345885 113.817477 0.00593752

0.0172401 0.01711214 0.01711883 0.017118481 6188.20251 11.5527077 267.377064 0.00055670.01573949 0.015709 0.01571021 0.015710165 2259.70032 -24.6243997 235.889304 0.002088030.01338208 0.0134203 0.01341932 0.013419348 96.141319 -37.6048083 60.1279958 0.00593752

Σ -8.04191187 677.211841 0.00593752

0.01573949 0.015709 0.01571021 0.015710165 2259.70032 24.6243997 235.889304 -0.002088030.03083379 0.02790222 0.02827888 0.028227798 27696.9439 -0.1599082 66.5504948 -0.001531320.01486574 0.01487163 0.01487137 0.014871385 959.215707 -28.0559707 164.047943 0.00384949

Σ -3.59147914 466.487742 0.00384949

0.0172401 0.01711214 0.01711883 0.017118481 6188.20251 -11.5527077 267.377064 -0.00055670.01435953 0.01439352 0.01439167 0.01439177 102.742274 5.50047394 23.7724883 0.00538081

0.0147666 0.01478076 0.01477989 0.014779945 58.618581 1.92847143 10.6322274 0.005380810.03083379 0.02790222 0.02827888 0.028227798 27696.9439 0.1599082 66.5504948 0.00153132

Σ -3.96385411 368.332275 0.00538081

PERDIDA DE CARGA(m)

f1 f2 f3 f4 h0.01390205 0.0139344 0.0139334 0.013933431 303.559004 43.9550961 115.511753 0.00354863

0.0172161 0.0170905 0.01709703 0.017096687 6180.32412 11.8372351 270.477262 -0.001004880.01576552 0.01573351 0.0157348 0.015734751 2263.23682 -23.6861772 231.53278 -8.3089E-050.01338834 0.01342671 0.01342572 0.013425743 96.1871311 -36.9117562 59.5855346 0.00354863

Σ -4.80560222 677.10733 0.00354863

0.01576552 0.01573351 0.0157348 0.015734751 2263.23682 23.6861772 231.53278 8.3089E-050.02694391 0.02503396 0.02525925 0.025231583 24757.0765 -0.38317536 97.3976473 -0.000921790.01489577 0.01490041 0.01490021 0.014900216 961.075335 -26.8591543 160.666333 0.00363172

Σ -3.55615247 489.596761 0.00363172

0.0172161 0.0170905 0.01709703 0.017096687 6180.32412 -11.8372351 270.477262 0.001004880.01432424 0.01435963 0.01435772 0.014357822 102.499923 5.74569417 24.2679462 0.004553510.01471442 0.01473147 0.01473044 0.014730507 58.4225025 2.03774955 10.9110232 0.004553510.02694391 0.02503396 0.02525925 0.025231583 24757.0765 0.38317536 97.3976473 0.00092179

Σ -3.670616 403.053879 0.00455351

f1 f2 f3 f4 h0.0138943 0.01392665 0.01392565 0.013925685 303.390237 44.7538396 116.524152 0.00308150.0172598 0.01712989 0.01713672 0.017136362 6194.66646 11.3261052 264.880056 -0.0001402

0.01576446 0.01573252 0.01573381 0.015733757 2263.09375 -23.7231688 231.706182 0.000514150.01339214 0.01343059 0.01342959 0.013429617 96.2148868 -36.5006034 59.2612979 0.0030815

Σ -4.14382739 672.371688 0.0030815

0.01576446 0.01573252 0.01573381 0.015733757 2263.09375 23.7231688 231.706182 -0.000514150.02554417 0.02396541 0.02414408 0.024123136 23669.4745 -0.558126 114.937153 -0.000654350.01492521 0.01492859 0.01492844 0.014928443 962.89597 -25.7535359 157.473731 0.00256735

Σ -2.58849312 504.117066 0.00256735

0.0172598 0.01712989 0.01713672 0.017136362 6194.66646 -11.3261052 264.880056 0.00014020.01429538 0.01433188 0.01432993 0.014330035 102.301554 5.95727637 24.6868109 0.00322170.01467212 0.01469145 0.01469029 0.01469036 58.2632758 2.13249983 11.1465881 0.00322170.02554417 0.02396541 0.02414408 0.024123136 23669.4745 0.558126 114.937153 0.00065435

Σ -2.67820298 415.650607 0.0032217

PERDIDA DE CARGA(m)

f1 f2 f3 f4 h0.01388767 0.01392002 0.01391903 0.013919059 303.24588 45.4532215 117.403161 0.002183880.01726604 0.0171355 0.01714238 0.017142019 6196.71127 11.2556691 264.098716 -0.000442650.01577101 0.01573867 0.01573999 0.015739934 2263.98219 -23.4947247 230.633125 4.78921E-050.01339547 0.01343399 0.01343299 0.013433013 96.2392209 -36.145429 58.9797247 0.00218388

Σ -2.93126309 671.114726 0.00218388

0.01577101 0.01573867 0.01573999 0.015739934 2263.98219 23.4947247 230.633125 -4.7892E-050.0247691 0.02336481 0.02351956 0.023501948 23059.9689 -0.70017156 127.066653 -0.000490540.0149467 0.01494914 0.01494902 0.01494903 964.223857 -24.9857105 155.215393 0.00213598

Σ -2.19115739 512.915171 0.00213598

0.01726604 0.0171355 0.01714238 0.017142019 6196.71127 -11.2556691 264.098716 0.000442650.0142755 0.01431274 0.01431077 0.014310873 102.164759 6.10922511 24.9829444 0.00262653

0.01464315 0.014664 0.01466277 0.014662839 58.1541259 2.2007958 11.3130613 0.002626530.0247691 0.02336481 0.02351956 0.023501948 23059.9689 0.70017156 127.066653 0.00049054

Σ -2.24547664 427.461375 0.00262653

f1 f2 f3 f4 h0.01388302 0.01391538 0.01391439 0.013914418 303.144784 45.9521311 118.026052 0.001779930.01728596 0.01715343 0.01716045 0.017160079 6203.23992 11.0346905 261.6311 -0.000207950.01577162 0.01573925 0.01574056 0.015740512 2264.06533 -23.4735009 230.533164 0.000146590.01339785 0.01343642 0.01343541 0.013435439 96.256599 -35.8947596 58.7801623 0.00177993

Σ -2.38143883 668.970478 0.00177993

0.01577162 0.01573925 0.01574056 0.015740512 2264.06533 23.4735009 230.533164 -0.000146590.02427226 0.02297633 0.02311649 0.023100863 22666.4263 -0.81621209 136.016952 -0.000354540.01496504 0.01496665 0.01496657 0.014966575 965.355553 -24.3555867 153.335583 0.00163334

Σ -1.69829797 519.885699 0.00163334

0.01728596 0.01715343 0.01716045 0.017160079 6203.23992 -11.0346905 261.6311 0.000207950.01425962 0.01429744 0.01429544 0.014295546 102.055338 6.23448219 25.2242381 0.00198787

PERDIDA DE CARGA(m)

0.01462011 0.01464214 0.01464084 0.014640921 58.0671973 2.25724591 11.4486656 0.001987870.02427226 0.02297633 0.02311649 0.023100863 22666.4263 0.81621209 136.016952 0.00035454

Σ -1.72675033 434.320956 0.00198787

f1 f2 f3 f4 h0.01387928 0.01391162 0.01391064 0.01391067 303.063118 46.3607546 118.533687 0.001353090.01729543 0.01716195 0.01716905 0.01716867 6206.34558 10.931619 260.471505 -0.00023378

0.0157735 0.01574102 0.01574234 0.015742284 2264.32024 -23.4085968 230.227191 4.18559E-050.0133998 0.01343841 0.0134374 0.013437428 96.2708448 -35.691097 58.6175064 0.00135309

Σ -1.80732027 667.84989 0.00135309

0.0157735 0.01574102 0.01574234 0.015742284 2264.32024 23.4085968 230.227191 -4.1856E-050.0239492 0.02272223 0.02285322 0.02283882 22409.3112 -0.90512192 142.418955 -0.00027563

0.01497934 0.0149803 0.01498025 0.014980256 966.237995 -23.8790727 151.897555 0.00131123Σ -1.37559777 524.543702 0.00131123

0.01729543 0.01716195 0.01716905 0.01716867 6206.34558 -10.931619 260.471505 0.000233780.01424778 0.01428602 0.01428401 0.014284117 101.973747 6.33010583 25.4067828 0.001586870.01460299 0.0146259 0.01462455 0.014624632 58.0025945 2.30043017 11.5512302 0.00158687

0.0239492 0.02272223 0.02285322 0.02283882 22409.3112 0.90512192 142.418955 0.00027563Σ -1.39596105 439.848474 0.00158687

f1 f2 f3 f4 h0.01387645 0.01390879 0.01390781 0.01390784 303.001471 46.6725868 118.919563 0.00107830.01730618 0.01717162 0.0171788 0.017178412 6209.86709 10.8163073 259.167573 -0.000157890.01577403 0.01574152 0.01574284 0.015742791 2264.39313 -23.390081 230.139825 4.94744E-050.01340129 0.01343993 0.01343892 0.013438946 96.281724 -35.5366593 58.4938529 0.0010783

Σ -1.43784624 666.720813 0.0010783

0.01577403 0.01574152 0.01574284 0.015742791 2264.39313 23.390081 230.139825 -4.9474E-050.02371599 0.02253805 0.02266257 0.022649027 22223.0882 -0.97714699 147.360862 -0.000207360.01499101 0.01499143 0.01499141 0.01499141 966.957409 -23.4998717 150.742745 0.00102882

Σ -1.08693764 528.243432 0.00102882

PERDIDA DE CARGA(m)

0.01730618 0.01717162 0.0171788 0.017178412 6209.86709 -10.8163073 259.167573 0.000157890.01423844 0.01427701 0.01427499 0.014275097 101.909356 6.40694872 25.5524562 0.001236180.01458953 0.01461311 0.01461173 0.01461181 57.9517404 2.33518755 11.6330642 0.001236180.02371599 0.02253805 0.02266257 0.022649027 22223.0882 0.97714699 147.360862 0.00020736

Σ -1.09702406 443.713956 0.00123618

f1 f2 f3 f4 h0.01387421 0.01390655 0.01390557 0.013905597 302.952608 46.9218325 119.227059 0.00084198

0.0173135 0.0171782 0.01718543 0.017185042 6212.26363 10.7387666 258.286758 -0.000138750.01577467 0.01574212 0.01574344 0.01574339 2264.47937 -23.3682044 230.036555 2.3405E-050.01340248 0.01344115 0.01344013 0.01344016 96.2904247 -35.4138237 58.3953091 0.00084198

Σ -1.121429 665.945681 0.00084198

0.01577467 0.01574212 0.01574344 0.01574339 2264.47937 23.3682044 230.036555 -2.3405E-050.02354983 0.02240644 0.02252644 0.022513486 22090.096 -1.0329973 151.059622 -0.000162160.01500028 0.01500027 0.01500027 0.01500027 967.528881 -23.2044258 149.836418 0.00081858

Σ -0.86921874 530.932595 0.00081858

0.0173135 0.0171782 0.01718543 0.017185042 6212.26363 -10.7387666 258.286758 0.000138750.01423123 0.01427006 0.01426803 0.014268134 101.859644 6.46712324 25.6659087 0.000980740.01457916 0.01460325 0.01460185 0.01460193 57.9125567 2.36243889 11.6967891 0.000980740.02354983 0.02240644 0.02252644 0.022513486 22090.096 1.0329973 151.059622 0.00016216

Σ -0.87620719 446.709078 0.00098074

f1 f2 f3 f4 h0.01387246 0.0139048 0.01390382 0.013903854 302.914617 47.116912 119.467156 0.00066750.01731997 0.01718402 0.01719129 0.017190902 6214.382 10.6708473 257.512566 -0.000105350.01577497 0.0157424 0.01574373 0.015743674 2264.52018 -23.3578586 229.9877 1.98298E-050.01340341 0.0134421 0.01344108 0.013441111 96.2972378 -35.3180551 58.3183603 0.0006675

Σ -0.88815431 665.285783 0.0006675

PERDIDA DE CARGA(m)

0.01577497 0.0157424 0.01574373 0.015743674 2264.52018 23.3578586 229.9877 -1.983E-050.02342503 0.02230737 0.02242401 0.022411503 21990.0311 -1.0776655 153.941215 -0.000125180.01500774 0.01500737 0.01500739 0.015007388 967.988045 -22.9706649 149.115153 0.00064767

Σ -0.69047175 533.044069 0.00064767

0.01731997 0.01718402 0.01719129 0.017190902 6214.382 -10.6708473 257.512566 0.000105350.01422555 0.01426458 0.01426254 0.014262648 101.82048 6.51505824 25.7558994 0.00077285

0.014571 0.0145955 0.01459408 0.014594159 57.8817351 2.38416796 11.7473307 0.000772850.02342503 0.02230737 0.02242401 0.022411503 21990.0311 1.0776655 153.941215 0.00012518

Σ -0.69395565 448.957011 0.00077285

f1 f2 f3 f4 h0.01387109 0.01390342 0.01390245 0.013902476 302.8846 47.2718504 119.657492 0.000526520.01732491 0.01718845 0.01719577 0.017195372 6215.99818 10.6194171 256.924653 -8.6259E-050.01577523 0.01574264 0.01574397 0.015743914 2264.55478 -23.349095 229.946308 1.20003E-050.01340415 0.01344286 0.01344184 0.013441867 96.302651 -35.2422242 58.2573567 0.00052652

Σ -0.70005169 664.78581 0.00052652

0.01577523 0.01574264 0.01574397 0.015743914 2264.55478 23.349095 229.946308 -1.2E-050.02333159 0.02223308 0.02234724 0.022335048 21915.0136 -1.11274319 156.159477 -9.8259E-050.01501368 0.01501304 0.01501307 0.015013065 968.354191 -22.7865324 148.544384 0.00051452

Σ -0.55018059 534.65017 0.00051452

0.01732491 0.01718845 0.01719577 0.017195372 6215.99818 -10.6194171 256.924653 8.6259E-050.0142211 0.01426028 0.01425824 0.014258349 101.789788 6.55295423 25.8268043 0.00061278

0.01456462 0.01458943 0.01458799 0.014588076 57.8576099 2.40135915 11.7871498 0.000612780.02333159 0.02223308 0.02234724 0.022335048 21915.0136 1.11274319 156.159477 9.82593E-05

Σ -0.55236048 450.698084 0.00061278

f1 f2 f3 f4 h0.01387 0.01390234 0.01390136 0.013901392 302.860985 47.394244 119.807627 0.00041739

0.01732897 0.0171921 0.01719944 0.017199047 6217.32642 10.5773989 256.443252 -6.7796E-050.01577538 0.01574279 0.01574411 0.01574406 2264.57572 -23.3437923 229.921259 9.09835E-06

PERDIDA DE CARGA(m)

0.01340474 0.01344345 0.01344244 0.013442464 96.3069284 -35.1824656 58.2092364 0.00041739Σ -0.55461509 664.381374 0.00041739

0.01577538 0.01574279 0.01574411 0.01574406 2264.57572 23.3437923 229.921259 -9.0983E-060.02325994 0.02217604 0.02228831 0.022276366 21857.4351 -1.14063828 157.896888 -7.6894E-050.01501843 0.01501756 0.0150176 0.015017603 968.646881 -22.6407707 148.090891 0.00040829

Σ -0.43761664 535.909037 0.00040829

0.01732897 0.0171921 0.01719944 0.017199047 6217.32642 -10.5773989 256.443252 6.7796E-050.01421759 0.01425689 0.01425485 0.014254955 101.765558 6.58307756 25.8830169 0.000485190.01455959 0.01458465 0.01458319 0.014583279 57.8385827 2.41503233 11.818716 0.000485190.02325994 0.02217604 0.02228831 0.022276366 21857.4351 1.14063828 157.896888 7.68944E-05

Σ -0.43865071 452.041873 0.00048519

f1 f2 f3 f4 h0.01386915 0.01390148 0.01390051 0.013900534 302.842303 47.4913807 119.926641 0.000330610.01733217 0.01719497 0.01720234 0.017201943 6218.37354 10.5444314 256.064861 -5.4393E-05

0.0157755 0.0157429 0.01574422 0.01574417 2264.5916 -23.3397724 229.902267 6.19391E-060.0134052 0.01344393 0.01344291 0.013442938 96.310324 -35.135129 58.1710895 0.00033061

Σ -0.43908933 664.064858 0.00033061

0.0157755 0.0157429 0.01574422 0.01574417 2264.5916 23.3397724 229.902267 -6.1939E-060.02320488 0.02213217 0.02224299 0.022231232 21813.1497 -1.16268977 159.254281 -6.0587E-050.01502222 0.01502117 0.01502122 0.015021222 968.880294 -22.5254296 147.730988 0.00032441

Σ -0.34834698 536.887536 0.00032441

0.01733217 0.01719497 0.01720234 0.017201943 6218.37354 -10.5444314 256.064861 5.43933E-050.01421482 0.01425422 0.01425217 0.014252277 101.74644 6.60697632 25.9275205 0.0003850.01455563 0.01458087 0.01457941 0.014579496 57.8235805 2.42588516 11.8437057 0.0003850.02320488 0.02213217 0.02224299 0.022231232 21813.1497 1.16268977 159.254281 6.05872E-05

Σ -0.34888012 453.090368 0.000385

PERDIDA DE CARGA(m)

f1 f2 f3 f4K

hh/Q ∆Q

0.01386847 0.0139008 0.01389983 0.013899856 302.827531 47.5683905 120.020907 0.000262340.01733474 0.01719728 0.01720467 0.017204273 6219.21567 10.5180176 255.761255 -4.3155E-050.01577558 0.01574297 0.0157443 0.015744246 2264.60241 -23.3370359 229.889338 4.59259E-060.01340557 0.0134443 0.01344329 0.013443314 96.3130165 -35.0976572 58.140874 0.00026234

Σ -0.34828497 663.812375 0.00026234

0.01577558 0.01574297 0.0157443 0.015744246 2264.60241 23.3370359 229.889338 -4.5926E-060.0231621 0.02209805 0.02220776 0.022196144 21778.7221 -1.18020175 160.322443 -4.7748E-05

0.01502525 0.01502405 0.01502411 0.015024108 969.066486 -22.4339901 147.445 0.00025774Σ -0.27715596 537.656781 0.00025774

0.01733474 0.01719728 0.01720467 0.017204273 6219.21567 -10.5180176 255.761255 4.31551E-050.01421263 0.0142521 0.01425005 0.014250157 101.731311 6.62597023 25.9628318 0.000305490.01455249 0.01457789 0.01457642 0.014576504 57.8117155 2.43451375 11.8635331 0.00030549

0.0231621 0.02209805 0.02220776 0.022196144 21778.7221 1.18020175 160.322443 4.77477E-05Σ -0.27733183 453.910064 0.00030549

f1 f2 f3 f4 h0.01386793 0.01390026 0.01389929 0.013899319 302.815824 47.6295418 120.095707 0.000208190.01733678 0.01719912 0.01720653 0.017206125 6219.8851 10.4970841 255.520365 -3.4424E-050.01577564 0.01574303 0.01574436 0.015744301 2264.61043 -23.335007 229.879752 3.31735E-060.01340586 0.0134446 0.01344359 0.013443612 96.3151549 -35.0679374 58.1168979 0.00020819

Σ -0.27631841 663.612722 0.00020819

0.01577564 0.01574303 0.01574436 0.015744301 2264.61043 23.335007 229.879752 -3.3174E-060.02312876 0.02207145 0.02218028 0.022168782 21751.8741 -1.19408762 161.163406 -3.7742E-050.01502766 0.01502635 0.01502641 0.015026409 969.21488 -22.361472 147.217768 0.00020488

Σ -0.2205526 538.260926 0.00020488

0.01733678 0.01719912 0.01720653 0.017206125 6219.8851 -10.4970841 255.520365 3.44244E-050.01421089 0.01425042 0.01424837 0.01424848 101.719332 6.64106053 25.9908492 0.000242620.01455001 0.01457553 0.01457405 0.014574137 57.8023256 2.44137098 11.8792643 0.000242620.02312876 0.02207145 0.02218028 0.022168782 21751.8741 1.19408762 161.163406 3.77418E-05

Σ -0.22056497 454.553885 0.00024262

PERDIDA DE CARGA(m)

f1 f2 f3 f4 h0.01386751 0.01389984 0.01389886 0.013898893 302.806543 47.6780997 120.155069 0.000165350.01733842 0.01720059 0.01720801 0.017207604 6220.41992 10.4804003 255.328202 -2.7377E-050.01577568 0.01574307 0.0157444 0.015744342 2264.61622 -23.3335415 229.872827 2.48045E-06

0.0134061 0.01344484 0.01344382 0.013443849 96.3168531 -35.0443604 58.0978701 0.00016535Σ -0.21940196 663.453967 0.00016535

0.01577568 0.01574307 0.0157444 0.015744342 2264.61622 23.3335415 229.872827 -2.4805E-060.02310262 0.02205059 0.02215875 0.022147331 21730.8265 -1.20511657 161.827621 -2.9857E-050.01502958 0.01502818 0.01502825 0.015028242 969.333129 -22.303911 147.037138 0.00016287

Σ -0.17548605 538.737586 0.00016287

0.01733842 0.01720059 0.01720801 0.017207604 6220.41992 -10.4804003 255.328202 2.73768E-050.01420952 0.01424909 0.01424704 0.014247149 101.709835 6.65305693 26.013099 0.000192730.01454804 0.01457365 0.01457218 0.01457226 57.7948838 2.44682355 11.8917569 0.000192730.02310262 0.02205059 0.02215875 0.022147331 21730.8265 1.20511657 161.827621 2.98572E-05

Σ -0.17540321 455.060679 0.00019273

f1 f2 f3 f4 h0.01386717 0.0138995 0.01389853 0.013898555 302.799178 47.7166822 120.202214 0.000131360.01733972 0.01720176 0.01720918 0.017208782 6220.84577 10.4671413 255.175374 -2.1802E-050.01577571 0.0157431 0.01574443 0.015744372 2264.62055 -23.3324457 229.867649 1.85298E-060.01340628 0.01344503 0.01344401 0.013444038 96.3182026 -35.025641 58.0827581 0.00013136

Σ -0.17426321 663.327995 0.00013136

0.01577571 0.0157431 0.01574443 0.015744372 2264.62055 23.3324457 229.867649 -1.853E-060.02308209 0.02203419 0.02214182 0.022130471 21714.2835 -1.2138746 162.352756 -2.3655E-050.01503111 0.01502964 0.01502971 0.015029703 969.42732 -22.2582041 146.893537 0.0001295

Σ -0.13963294 539.113942 0.0001295

0.01733972 0.01720176 0.01720918 0.017208782 6220.84577 -10.4671413 255.175374 2.18015E-050.01420843 0.01424804 0.01424599 0.014246094 101.702301 6.66259391 26.0307728 0.000153160.01454648 0.01457217 0.01457069 0.014570772 57.7889821 2.45115905 11.90168 0.000153160.02308209 0.02203419 0.02214182 0.022130471 21714.2835 1.2138746 162.352756 2.36545E-05

Σ -0.13951374 455.460583 0.00015316

PERDIDA DE CARGA(m)

f1 f2 f3 f4 h0.0138669 0.01389923 0.01389826 0.013898287 302.793331 47.7473438 120.239666 0.00010439

0.01734076 0.01720269 0.01721012 0.017209721 6221.18522 10.4565884 255.053667 -1.7347E-050.01577573 0.01574312 0.01574445 0.015744394 2264.62379 -23.3316272 229.863781 1.40697E-060.01340643 0.01344518 0.01344416 0.013444187 96.3192751 -35.0107736 58.0707528 0.00010439

Σ -0.13846855 663.227867 0.00010439

0.01577573 0.01574312 0.01574445 0.015744394 2264.62379 23.3316272 229.863781 -1.407E-060.02306591 0.02202127 0.02212847 0.022117181 21701.2442 -1.22083396 162.768596 -1.8754E-050.01503233 0.0150308 0.01503087 0.015030866 969.502333 -22.2218936 146.77935 0.00010298

Σ -0.11110038 539.411728 0.00010298

0.01734076 0.01720269 0.01721012 0.017209721 6221.18522 -10.4565884 255.053667 1.73471E-050.01420756 0.0142472 0.01424515 0.014245256 101.69632 6.67017761 26.0448175 0.000121740.01454524 0.01457099 0.01456951 0.014569591 57.7842982 2.45460708 11.9095654 0.000121740.02306591 0.02202127 0.02212847 0.022117181 21701.2442 1.22083396 162.768596 1.87541E-05

Σ -0.11096974 455.776646 0.00012174

f1 f2 f3 f4 h0.01386669 0.01389902 0.01389804 0.013898073 302.788687 47.771718 120.26943 8.29775E-050.01734158 0.01720343 0.01721087 0.017210469 6221.45553 10.4481953 254.956825 -1.3807E-050.01577575 0.01574314 0.01574447 0.015744411 2264.62625 -23.3310057 229.860845 1.07367E-060.01340654 0.0134453 0.01344428 0.013444306 96.3201277 -34.9989604 58.061212 8.29775E-05

Σ -0.1100528 663.148311 8.29775E-05

0.01577575 0.01574314 0.01574447 0.015744411 2264.62625 23.3310057 229.860845 -1.0737E-060.02305314 0.02201106 0.02211794 0.022106688 21690.9478 -1.2263646 163.098162 -1.4881E-05

0.0150333 0.01503172 0.0150318 0.015031792 969.562061 -22.1930395 146.688545 8.19038E-05Σ -0.08839842 539.647551 8.19038E-05

0.01734158 0.01720343 0.01721087 0.017210469 6221.45553 -10.4481953 254.956825 1.38071E-05

PERDIDA DE CARGA(m)

0.01420687 0.01424654 0.01424448 0.014244591 101.691571 6.67620853 26.0559807 9.67846E-050.01454426 0.01457006 0.01456857 0.014568654 57.7805791 2.45734944 11.9158329 9.67846E-050.02305314 0.02201106 0.02211794 0.022106688 21690.9478 1.2263646 163.098162 1.48808E-05

Σ -0.08827276 456.026801 9.67846E-05

f1 f2 f3 f4 h0.01386652 0.01389885 0.01389787 0.013897904 302.784997 47.791097 120.293089 6.59711E-050.01734224 0.01720402 0.01721147 0.017211065 6221.67081 10.4415174 254.879744 -1.0987E-050.01577577 0.01574315 0.01574448 0.015744424 2264.62812 -23.3305314 229.858603 8.26777E-070.01340664 0.01344539 0.01344437 0.013444401 96.3208057 -34.9895718 58.0536282 6.59711E-05

Σ -0.0874889 663.085064 6.59711E-05

0.01577577 0.01574315 0.01574448 0.015744424 2264.62812 23.3305314 229.858603 -8.2678E-070.02304303 0.02200299 0.0221096 0.022098388 21682.804 -1.2307612 163.359584 -1.1814E-050.01503407 0.01503246 0.01503253 0.015032529 969.60961 -22.1701045 146.616324 6.51443E-05

Σ -0.0703343 539.834512 6.51443E-05

0.01734224 0.01720402 0.01721147 0.017211065 6221.67081 -10.4415174 254.879744 1.09868E-050.01420633 0.01424601 0.01424396 0.014244062 101.687797 6.68100519 26.0648557 7.69579E-050.01454348 0.01456931 0.01456782 0.014567909 57.7776248 2.45953075 11.9208156 7.69579E-050.02304303 0.02200299 0.0221096 0.022098388 21682.804 1.2307612 163.359584 1.18136E-05

Σ -0.07022023 456.225 7.69579E-05

f1 f2 f3 f4 h0.01386638 0.01389871 0.01389774 0.013897769 302.782064 47.806507 120.311898 5.24577E-050.01734276 0.01720449 0.01721194 0.017211539 6221.84219 10.436205 254.818407 -8.7431E-060.01577578 0.01574316 0.01574449 0.015744434 2264.62956 -23.3301662 229.856878 6.39939E-070.01340671 0.01344547 0.01344445 0.013444476 96.3213448 -34.9821083 58.0475987 5.24577E-05

Σ -0.06956259 663.034781 5.24577E-05

0.01577578 0.01574316 0.01574449 0.015744434 2264.62956 23.3301662 229.856878 -6.3994E-070.02303503 0.02199659 0.02210301 0.022091815 21676.3552 -1.23425675 163.567074 -9.383E-060.01503469 0.01503304 0.01503312 0.015033116 969.64746 -22.1518709 146.55888 5.18178E-05

PERDIDA DE CARGA(m)

Σ -0.05596143 539.982831 5.18178E-05

0.01734276 0.01720449 0.01721194 0.017211539 6221.84219 -10.436205 254.818407 8.74308E-060.01420589 0.01424559 0.01424354 0.014243642 101.684798 6.68482044 26.0719124 6.12008E-050.01454286 0.01456872 0.01456723 0.014567317 57.7752772 2.46126589 11.9247775 6.12008E-050.02303503 0.02199659 0.02210301 0.022091815 21676.3552 1.23425675 163.567074 9.38301E-06

Σ -0.0558619 456.382171 6.12008E-05

f1 f2 f3 f4 h0.01386628 0.01389861 0.01389763 0.013897662 302.779732 47.8187622 120.326855 4.17176E-050.01734318 0.01720487 0.01721232 0.017211916 6221.97864 10.4319784 254.769596 -6.957E-060.01577578 0.01574317 0.0157445 0.015744442 2264.63068 -23.3298835 229.855542 4.98096E-070.01340677 0.01344553 0.01344451 0.013444536 96.3217735 -34.9761742 58.0428043 4.17176E-05

Σ -0.05531714 662.994797 4.17176E-05

0.01577578 0.01574317 0.0157445 0.015744442 2264.63068 23.3298835 229.855542 -4.981E-070.02302869 0.02199153 0.02209778 0.022086606 21671.2434 -1.23703637 163.731842 -7.4551E-060.01503518 0.01503351 0.01503359 0.015033583 969.677586 -22.1373726 146.513187 4.12195E-05

Σ -0.04452538 540.100571 4.12195E-05

0.01734318 0.01720487 0.01721232 0.017211916 6221.97864 -10.4319784 254.769596 6.957E-060.01420555 0.01424526 0.0142432 0.014243308 101.682414 6.68785528 26.0775243 4.86746E-050.01454237 0.01456825 0.01456676 0.014566846 57.7734112 2.46264618 11.9279282 4.86746E-050.02302869 0.02199153 0.02209778 0.022086606 21671.2434 1.23703637 163.731842 7.45509E-06

Σ -0.0444406 456.506891 4.86746E-05

f1 f2 f3 f4 h0.01386619 0.01389852 0.01389755 0.013897577 302.777879 47.8285094 120.338749 3.31795E-050.01734351 0.01720517 0.01721262 0.017212217 6222.08724 10.4286159 254.730756 -5.5358E-060.01577579 0.01574318 0.0157445 0.015744448 2264.63155 -23.3296635 229.854502 3.89228E-070.01340682 0.01344558 0.01344456 0.013444584 96.3221145 -34.9714553 58.0389914 3.31795E-05

Σ -0.04399362 662.962998 3.31795E-05

PERDIDA DE CARGA(m)

0.01577579 0.01574318 0.0157445 0.015744448 2264.63155 23.3296635 229.854502 -3.8923E-070.02302366 0.02198751 0.02209363 0.022082473 21667.1884 -1.23924692 163.862737 -5.925E-060.01503557 0.01503388 0.01503396 0.015033954 969.701563 -22.1258429 146.476839 3.27903E-05

Σ -0.03542627 540.194078 3.27903E-05

0.01734351 0.01720517 0.01721262 0.017212217 6222.08724 -10.4286159 254.730756 5.53579E-060.01420527 0.01424499 0.01424294 0.014243043 101.680519 6.69026944 26.0819875 3.87153E-050.01454197 0.01456788 0.01456639 0.014566472 57.7719278 2.46374423 11.9304339 3.87153E-050.02302366 0.02198751 0.02209363 0.022082473 21667.1884 1.23924692 163.862737 5.92501E-06

Σ -0.0353553 456.605914 3.87153E-05

f1 f2 f3 f4 h0.01386612 0.01389845 0.01389748 0.01389751 302.776405 47.8362624 120.348209 2.63909E-050.01734378 0.0172054 0.01721286 0.017212456 6222.17368 10.4259406 254.69985 -4.4048E-06

0.0157758 0.01574318 0.01574451 0.015744453 2264.63223 -23.3294916 229.85369 3.05248E-070.01340685 0.01344561 0.01344459 0.013444622 96.3223858 -34.9677025 58.0359589 2.63909E-05

Σ -0.03499109 662.937708 2.63909E-05

0.0157758 0.01574318 0.01574451 0.015744453 2264.63223 23.3294916 229.85369 -3.0525E-070.02301967 0.02198432 0.02209033 0.022079193 21663.9697 -1.24100508 163.966754 -4.71E-060.01503588 0.01503417 0.01503425 0.01503425 969.720644 -22.1166731 146.447924 2.60857E-05

Σ -0.02818654 540.268368 2.60857E-05

0.01734378 0.0172054 0.01721286 0.017212456 6222.17368 -10.4259406 254.69985 4.40476E-060.01420505 0.01424478 0.01424273 0.014242832 101.679012 6.69218995 26.0855374 3.07957E-050.01454166 0.01456758 0.01456609 0.014566175 57.7707483 2.46461778 11.932427 3.07957E-050.02301967 0.02198432 0.02209033 0.022079193 21663.9697 1.24100508 163.966754 4.71001E-06

Σ -0.02812784 456.684568 3.07957E-05

f1 f2 f3 f4 h0.01386607 0.0138984 0.01389743 0.013897456 302.775232 47.8424295 120.355734 2.09925E-050.01734399 0.01720559 0.01721305 0.017212646 6222.24247 10.4238122 254.675258 -3.5048E-06

PERDIDA DE CARGA(m)

0.0157758 0.01574318 0.01574451 0.015744457 2264.63276 -23.3293568 229.853052 2.40049E-070.01340688 0.01344564 0.01344462 0.013444652 96.3226016 -34.9647176 58.0335469 2.09925E-05

Σ -0.02783266 662.917591 2.09925E-05

0.0157758 0.01574318 0.01574451 0.015744457 2264.63276 23.3293568 229.853052 -2.4005E-070.0230165 0.02198178 0.02208772 0.022076588 21661.4137 -1.24240353 164.049434 -3.7448E-06

0.01503613 0.01503441 0.01503449 0.015034486 969.735828 -22.1093795 146.424921 2.07525E-05Σ -0.02242629 540.327407 2.07525E-05

0.01734399 0.01720559 0.01721305 0.017212646 6222.24247 -10.4238122 254.675258 3.50479E-060.01420488 0.01424461 0.01424256 0.014242664 101.677814 6.69371779 26.0883612 2.44973E-050.01454141 0.01456735 0.01456585 0.014565938 57.7698103 2.46531274 11.9340123 2.44973E-05

0.0230165 0.02198178 0.02208772 0.022076588 21661.4137 1.24240353 164.049434 3.74484E-06Σ -0.02237817 456.747065 2.44973E-05

f1 f2 f3 f4 h0.01386603 0.01389836 0.01389738 0.013897413 302.7743 47.8473355 120.361719 1.66992E-050.01734416 0.01720574 0.0172132 0.017212798 6222.29721 10.4221188 254.655691 -2.7887E-06

0.0157758 0.01574319 0.01574451 0.015744459 2264.63318 -23.3292507 229.852551 1.89215E-070.01340691 0.01344567 0.01344465 0.013444676 96.3227732 -34.9623435 58.0316283 1.66992E-05

Σ -0.0221399 662.90159 1.66992E-05

0.0157758 0.01574319 0.01574451 0.015744459 2264.63318 23.3292507 229.852551 -1.8921E-070.02301399 0.02197977 0.02208564 0.022074518 21659.383 -1.24351592 164.115166 -2.9779E-060.01503632 0.01503459 0.01503468 0.015034673 969.747911 -22.103578 146.406621 1.651E-05

Σ -0.01784318 540.374338 1.651E-05

0.01734416 0.01720574 0.0172132 0.017212798 6222.29721 -10.4221188 254.655691 2.78865E-060.01420474 0.01424448 0.01424242 0.01424253 101.67686 6.69493327 26.0906074 1.94879E-050.01454122 0.01456716 0.01456566 0.01456575 57.7690643 2.46586563 11.9352734 1.94879E-050.02301399 0.02197977 0.02208564 0.022074518 21659.383 1.24351592 164.115166 2.97787E-06

Σ -0.017804 456.796737 1.94879E-05

PERDIDA DE CARGA(m)

f1 f2 f3 f4K

hh/Q ∆Q

0.01386599 0.01389832 0.01389735 0.013897379 302.773558 47.8512382 120.366481 1.32845E-050.01734429 0.01720586 0.01721332 0.017212918 6222.34077 10.4207715 254.640122 -2.2188E-060.01577581 0.01574319 0.01574452 0.015744462 2264.63351 -23.3291671 229.852156 1.4942E-070.01340692 0.01344569 0.01344467 0.013444695 96.3229098 -34.9604549 58.030102 1.32845E-05

Σ -0.01761226 662.888861 1.32845E-05

0.01577581 0.01574319 0.01574452 0.015744462 2264.63351 23.3291671 229.852156 -1.4942E-070.02301198 0.02197817 0.02208399 0.022072873 21657.7692 -1.24440082 164.167432 -2.3682E-060.01503648 0.01503474 0.01503483 0.015034822 969.757526 -22.098963 146.392062 1.31351E-05

Σ -0.01419667 540.41165 1.31351E-05

0.01734429 0.01720586 0.01721332 0.017212918 6222.34077 -10.4207715 254.640122 2.21882E-060.01420463 0.01424437 0.01424232 0.014242424 101.676102 6.69590028 26.0923943 1.55033E-050.01454106 0.01456701 0.01456551 0.014565601 57.7684709 2.46630551 11.9362766 1.55033E-050.02301198 0.02197817 0.02208399 0.022072873 21657.7692 1.24440082 164.167432 2.36825E-06

Σ -0.01416494 456.836225 1.55033E-05

f1 f2 f3 f4 h0.01386597 0.0138983 0.01389732 0.013897352 302.772968 47.854343 120.370268 1.05683E-050.01734439 0.01720596 0.01721342 0.017213014 6222.37544 10.4196996 254.627734 -1.7654E-060.01577581 0.01574319 0.01574452 0.015744464 2264.63377 -23.3291011 229.851844 1.18173E-070.01340694 0.0134457 0.01344468 0.01344471 96.3230184 -34.9589525 58.0288879 1.05683E-05

Σ -0.01401101 662.878735 1.05683E-05

0.01577581 0.01574319 0.01574452 0.015744464 2264.63377 23.3291011 229.851844 -1.1817E-070.02301039 0.0219769 0.02208268 0.022071566 21656.4865 -1.24510477 164.208997 -1.8836E-06

0.0150366 0.01503486 0.01503494 0.015034941 969.765177 -22.0952917 146.380479 1.04501E-05Σ -0.01129537 540.44132 1.04501E-05

0.01734439 0.01720596 0.01721342 0.017213014 6222.37544 -10.4196996 254.627734 1.76542E-060.01420455 0.01424429 0.01424223 0.01424234 101.675499 6.69666962 26.0938158 1.23337E-050.01454094 0.01456689 0.0145654 0.014565482 57.767999 2.46665547 11.9370746 1.23337E-050.02301039 0.0219769 0.02208268 0.022071566 21656.4865 1.24510477 164.208997 1.88359E-06

Σ -0.01126976 456.867621 1.23337E-05

PERDIDA DE CARGA(m)

f1 f2 f3 f4 h0.01386594 0.01389827 0.0138973 0.01389733 302.772499 47.8568131 120.373281 8.40769E-060.01734448 0.01720603 0.01721349 0.01721309 6222.40302 10.4188468 254.617878 -1.4047E-060.01577581 0.01574319 0.01574452 0.015744465 2264.63398 -23.3290489 229.851598 9.3572E-080.01340695 0.01344571 0.0134447 0.013444722 96.3231048 -34.9577574 58.027922 8.40769E-06

Σ -0.01114643 662.870679 8.40769E-06

0.01577581 0.01574319 0.01574452 0.015744465 2264.63398 23.3290489 229.851598 -9.3572E-080.02300913 0.02197589 0.02208163 0.022070527 21655.4667 -1.24566479 164.242054 -1.4982E-06

0.0150367 0.01503496 0.01503504 0.015035035 969.771264 -22.0923711 146.371263 8.31412E-06Σ -0.00898698 540.464915 8.31412E-06

0.01734448 0.01720603 0.01721349 0.01721309 6222.40302 -10.4188468 254.617878 1.40466E-060.01420448 0.01424422 0.01424217 0.014242272 101.675019 6.6972817 26.0949467 9.81235E-060.01454084 0.0145668 0.0145653 0.014565387 57.7676236 2.46693391 11.9377095 9.81235E-060.02300913 0.02197589 0.02208163 0.022070527 21655.4667 1.24566479 164.242054 1.49823E-06

Σ -0.00896638 456.892588 9.81235E-06

f1 f2 f3 f4 h0.01386593 0.01389826 0.01389728 0.013897313 302.772125 47.8587782 120.375679 6.68893E-060.01734455 0.01720609 0.01721356 0.017213151 6222.42497 10.4181682 254.610036 -1.1176E-060.01577581 0.01574319 0.01574452 0.015744466 2264.63414 -23.3290076 229.851402 7.41643E-080.01340696 0.01344572 0.0134447 0.013444732 96.3231736 -34.9568066 58.0271535 6.68893E-06

Σ -0.00886771 662.86427 6.68893E-06

0.01577581 0.01574319 0.01574452 0.015744466 2264.63414 23.3290076 229.851402 -7.4164E-080.02300812 0.02197508 0.0220808 0.0220697 21654.6558 -1.24611032 164.268347 -1.1918E-060.01503678 0.01503503 0.01503511 0.01503511 969.776108 -22.0900476 146.363931 6.61477E-06

Σ -0.00715035 540.483681 6.61477E-06

0.01734455 0.01720609 0.01721356 0.017213151 6222.42497 -10.4181682 254.610036 1.11761E-060.01420442 0.01424417 0.01424211 0.014242219 101.674638 6.69776867 26.0958465 7.80654E-060.01454076 0.01456672 0.01456523 0.014565312 57.7673249 2.46715543 11.9382147 7.80654E-060.02300812 0.02197508 0.0220808 0.0220697 21654.6558 1.24611032 164.268347 1.19178E-06

PERDIDA DE CARGA(m)

Σ -0.00713381 456.912444 7.80654E-06

f1 f2 f3 f4 h0.01386591 0.01389824 0.01389727 0.0138973 302.771828 47.8603417 120.377586 5.32161E-06

0.0173446 0.01720614 0.0172136 0.017213199 6222.44244 10.4176284 254.603796 -8.8922E-070.01577581 0.01574319 0.01574452 0.015744467 2264.63427 -23.3289749 229.851248 5.88273E-080.01340697 0.01344573 0.01344471 0.013444739 96.3232283 -34.9560501 58.0265422 5.32161E-06

Σ -0.00705496 662.859171 5.32161E-06

0.01577581 0.01574319 0.01574452 0.015744467 2264.63427 23.3289749 229.851248 -5.8827E-080.02300732 0.02197444 0.02208014 0.022069043 21654.0109 -1.24646477 164.289262 -9.4805E-070.01503684 0.01503509 0.01503517 0.01503517 969.779962 -22.0881991 146.358098 5.26278E-06

Σ -0.00568905 540.498608 5.26278E-06

0.0173446 0.01720614 0.0172136 0.017213199 6222.44244 -10.4176284 254.603796 8.89221E-070.01420438 0.01424413 0.01424207 0.014242176 101.674334 6.69815611 26.0965623 6.21083E-06

0.0145407 0.01456666 0.01456517 0.014565252 57.7670873 2.46733168 11.9386165 6.21083E-060.02300732 0.02197444 0.02208014 0.022069043 21654.0109 1.24646477 164.289262 9.48049E-07

Σ -0.00567581 456.928237 6.21083E-06

f1 f2 f3 f4 h0.0138659 0.01389823 0.01389726 0.013897289 302.771592 47.8615855 120.379103 4.23384E-06

0.01734464 0.01720618 0.01721364 0.017213238 6222.45633 10.4171988 254.598831 -7.075E-070.01577581 0.0157432 0.01574452 0.015744468 2264.63438 -23.3289489 229.851125 4.66909E-080.01340697 0.01344574 0.01344472 0.013444745 96.3232718 -34.9554483 58.0260558 4.23384E-06

Σ -0.00561285 662.855115 4.23384E-06

0.01577581 0.0157432 0.01574452 0.015744468 2264.63438 23.3289489 229.851125 -4.6691E-080.02300669 0.02197393 0.02207962 0.02206852 21653.498 -1.24674676 164.305899 -7.5419E-070.01503689 0.01503514 0.01503522 0.015035217 969.783029 -22.0867285 146.353457 4.18715E-06

Σ -0.0045264 540.510481 4.18715E-06

0.01734464 0.01720618 0.01721364 0.017213238 6222.45633 -10.4171988 254.598831 7.07501E-07

PERDIDA DE CARGA(m)

0.01420434 0.01424409 0.01424204 0.014242143 101.674092 6.69846437 26.0971317 4.94135E-060.01454065 0.01456661 0.01456512 0.014565204 57.7668983 2.46747191 11.9389362 4.94135E-060.02300669 0.02197393 0.02207962 0.02206852 21653.498 1.24674676 164.305899 7.54192E-07

Σ -0.0045158 456.940799 4.94135E-06

f1 f2 f3 f4 h0.01386589 0.01389822 0.01389725 0.01389728 302.771404 47.8625751 120.38031 3.36845E-060.01734468 0.01720621 0.01721367 0.017213268 6222.46739 10.4168571 254.594881 -5.6292E-070.01577581 0.0157432 0.01574452 0.015744468 2264.63446 -23.3289282 229.851027 3.70766E-080.01340698 0.01344574 0.01344472 0.01344475 96.3233064 -34.9549696 58.0256688 3.36845E-06

Σ -0.00446557 662.851888 3.36845E-06

0.01577581 0.0157432 0.01574452 0.015744468 2264.63446 23.3289282 229.851027 -3.7077E-080.02300618 0.02197353 0.0220792 0.022068104 21653.09 -1.24697112 164.319134 -5.9999E-070.01503693 0.01503518 0.01503526 0.015035255 969.785468 -22.0855585 146.349765 3.33138E-06

Σ -0.00360135 540.519927 3.33138E-06

0.01734468 0.01720621 0.01721367 0.017213268 6222.46739 -10.4168571 254.594881 5.62916E-070.01420431 0.01424407 0.01424201 0.014242116 101.6739 6.69870962 26.0975848 3.93137E-060.01454061 0.01456658 0.01456508 0.014565166 57.7667479 2.46758347 11.9391906 3.93137E-060.02300618 0.02197353 0.0220792 0.022068104 21653.09 1.24697112 164.319134 5.99993E-07

Σ -0.00359289 456.950791 3.93137E-06

f1 f2 f3 f4 h0.01386589 0.01389822 0.01389724 0.013897273 302.771255 47.8633625 120.381271 2.67997E-06

0.0173447 0.01720623 0.0172137 0.017213293 6222.47619 10.4165852 254.591738 -4.4788E-070.01577581 0.0157432 0.01574452 0.015744469 2264.63452 -23.3289119 229.85095 2.94537E-080.01340698 0.01344575 0.01344473 0.013444754 96.323334 -34.9545886 58.025361 2.67997E-06

Σ -0.00355283 662.84932 2.67997E-06

0.01577581 0.0157432 0.01574452 0.015744469 2264.63452 23.3289119 229.85095 -2.9454E-080.02300578 0.02197321 0.02207887 0.022067774 21652.7655 -1.24714962 164.329663 -4.7733E-07

PERDIDA DE CARGA(m)

0.01503696 0.01503521 0.01503529 0.015035285 969.78741 -22.0846276 146.346827 2.65052E-06Σ -0.00286535 540.52744 2.65052E-06

0.0173447 0.01720623 0.0172137 0.017213293 6222.47619 -10.4165852 254.591738 4.47877E-070.01420429 0.01424404 0.01424199 0.014242094 101.673747 6.69890474 26.0979453 3.12785E-060.01454057 0.01456655 0.01456505 0.014565136 57.7666283 2.46767224 11.939393 3.12785E-060.02300578 0.02197321 0.02207887 0.022067774 21652.7655 1.24714962 164.329663 4.77331E-07

Σ -0.00285859 456.95874 3.12785E-06

f1 f2 f3 f4 h0.01386588 0.01389821 0.01389724 0.013897268 302.771136 47.8639889 120.382035 2.13222E-060.01734472 0.01720625 0.01721372 0.017213312 6222.48319 10.4163689 254.589238 -3.5635E-070.01577581 0.0157432 0.01574452 0.015744469 2264.63457 -23.3288989 229.850888 2.34054E-080.01340699 0.01344575 0.01344473 0.013444757 96.3233559 -34.9542856 58.025116 2.13222E-06

Σ -0.00282667 662.847277 2.13222E-06

0.01577581 0.0157432 0.01574452 0.015744469 2264.63457 23.3288989 229.850888 -2.3405E-080.02300546 0.02197295 0.0220786 0.022067511 21652.5074 -1.24729163 164.33804 -3.7975E-070.01503699 0.01503523 0.01503531 0.015035309 969.788954 -22.083887 146.34449 2.10881E-06

Σ -0.00227977 540.533418 2.10881E-06

0.01734472 0.01720625 0.01721372 0.017213312 6222.48319 -10.4163689 254.589238 3.56348E-070.01420427 0.01424403 0.01424197 0.014242077 101.673626 6.69905999 26.0982321 2.48857E-060.01454055 0.01456652 0.01456503 0.014565112 57.7665331 2.46774286 11.939554 2.48857E-060.02300546 0.02197295 0.0220786 0.022067511 21652.5074 1.24729163 164.33804 3.79753E-07

Σ -0.00227438 456.965064 2.48857E-06

f1 f2 f3 f4 h0.01386588 0.01389821 0.01389723 0.013897264 302.771041 47.8644873 120.382643 1.69643E-060.01734474 0.01720627 0.01721373 0.017213327 6222.48875 10.4161967 254.587248 -2.8352E-070.01577581 0.0157432 0.01574452 0.015744469 2264.63462 -23.3288885 229.85084 1.86038E-080.01340699 0.01344575 0.01344473 0.013444759 96.3233733 -34.9540445 58.0249212 1.69643E-06

Σ -0.00224894 662.845652 1.69643E-06

PERDIDA DE CARGA(m)

0.01577581 0.0157432 0.01574452 0.015744469 2264.63462 23.3288885 229.85084 -1.8604E-080.02300521 0.02197275 0.02207839 0.022067301 21652.302 -1.24740462 164.344703 -3.0213E-070.01503701 0.01503525 0.01503533 0.015035328 969.790183 -22.0832978 146.34263 1.67783E-06

Σ -0.00181386 540.538173 1.67783E-06

0.01734474 0.01720627 0.01721373 0.017213327 6222.48875 -10.4161967 254.587248 2.83523E-070.01420426 0.01424401 0.01424196 0.014242064 101.673529 6.69918351 26.0984603 1.97995E-060.01454053 0.0145665 0.01456501 0.014565093 57.7664574 2.46779905 11.9396821 1.97995E-060.02300521 0.02197275 0.02207839 0.022067301 21652.302 1.24740462 164.344703 3.02127E-07

Σ -0.00180956 456.970094 1.97995E-06

0.308463630.07110191

-0.08978196-0.69153637

0.089781960.01088387

-0.25175441

-0.071101910.137361720.08736172

-0.01088387

0.311610330.05176005

-0.11555158-0.68838967

0.115551580.01731163-0.2228381

-0.051760050.159850270.10985027

-0.01731163

0.331415450.05768893-0.1027144

-0.66858455

0.10271440.01040333

-0.21587015

-0.057688930.173726520.12372652

-0.01040333

0.340148120.05096607

-0.10771027-0.65985188

0.10771027

0.00867634-0.20214161

-0.050966070.189182050.13918205

-0.00867634

0.351745980.05060804

-0.10496271-0.64825402

0.104962710.00557076

-0.19329131

-0.050608040.201137930.15113793

-0.00557076

0.360041630.04739969-0.1056705

-0.63995837

0.10567050.00307019

-0.18428788

-0.047399690.212641930.16264193

-0.00307019

0.368091830.04580631

-0.10461711-0.63190817

0.104617110.00042342

-0.17729106

-0.045806310.222285520.17228552

-0.00042342

0.374587360.04320755

-0.10438964-0.62541264

0.10438964-0.00240281

-0.171023

-0.043207550.231379810.181379810.00240281

0.380524880.04376425

-0.10230161-0.61947512

0.10230161-0.00393413-0.16717351

-0.043764250.236760630.186760630.00393413

0.384073510.04275937-0.1023847

-0.61592649

0.1023847-0.00485592-0.16354179

-0.042759370.241314130.191314130.00485592

0.387155010.04261917

-0.10187056-0.61284499

0.10187056-0.00551027-0.16097444

-0.042619170.244535830.194535830.00551027

0.389338880.04217652

-0.10182266-0.61066112

0.10182266-0.00600081-0.15883845

-0.042176520.247162360.197162360.00600081

0.391118810.04196858

-0.10167607-0.60888119

0.10167607-0.00635535-0.15720512

-0.041968580.24915023

0.199150230.00635535

0.39247190.0417348

-0.10163422-0.6075281

0.10163422-0.00663098-0.15589388

-0.04173480.25073710.2007371

0.00663098

0.39355020.04157692

-0.10158474-0.6064498

0.10158474-0.00683834-0.15486506

-0.041576920.251973280.201973280.00683834

0.394392180.04143816

-0.10156134-0.60560782

0.10156134-0.0070005

-0.15404648

-0.041438160.252954020.20295402

0.0070005

0.395059680.04133281

-0.10154151-0.60494032

0.10154151-0.00712568-0.15339881

-0.041332810.253726870.203726870.00712568

0.39558620.04124655

-0.10152951-0.6044138

0.10152951-0.00722394-0.15288429

-0.041246550.254339650.204339650.00722394

0.396003590.04117875

-0.10152041

-0.60399641

0.10152041-0.00730084

-0.152476

-0.041178750.254824840.204824840.00730084

0.39633420.04112436

-0.10151422-0.6036658

0.10151422-0.00736143-0.15215158

-0.041124360.255209840.205209840.00736143

0.396596540.0410812

-0.10150962-0.60340346

0.10150962-0.00740917-0.15189384

-0.04108120.255515330.205515330.00740917

0.396804730.04104678

-0.10150631-0.60319527

0.10150631-0.00744692-0.15168896

-0.041046780.255757950.205757950.00744692

0.396970080.0410194

-0.10150383-0.60302992

0.10150383-0.00747677

-0.1515261

-0.04101940.255950680.205950680.00747677

0.397101430.0409976

-0.10150197-0.60289857

0.10150197-0.00750043-0.15139659

-0.04099760.256103830.206103830.00750043

0.397205820.04098025

-0.10150057-0.60279418

0.10150057-0.00751918-0.15129361

-0.040980250.256225570.206225570.00751918

0.39728880.04096645

-0.10149949-0.6027112

0.10149949-0.00753406-0.15121171

-0.04096645

0.256322360.206322360.00753406

0.397354770.04095546

-0.10149867-0.60264523

0.10149867-0.00754588-0.15114656

-0.040955460.256399310.206399310.00754588

0.397407230.04094672

-0.10149803-0.60259277

0.10149803-0.00755526-0.15109474

-0.040946720.256460510.206460510.00755526

0.397448950.04093976

-0.10149753-0.60255105

0.10149753-0.00756271-0.15105352

-0.040939760.256509190.206509190.00756271

0.397482130.04093422

-0.10149714-0.60251787

0.10149714-0.00756864-0.15102073

-0.040934220.25654790.2065479

0.00756864

0.397508520.04092982

-0.10149683-0.60249148

0.10149683-0.00757335-0.15099465

-0.040929820.25657870.2065787

0.00757335

0.39752951 397.5295110.04092631 40.9263142

-0.10149659 -101.496592-0.60247049 -602.470489

0.10149659 101.496592-0.00757709 -7.57709329

-0.1509739 -150.973896

-0.04092631 -40.92631420.2566032 256.6031970.2066032 206.603197

0.00757709 7.57709329

0.397546210.04092353-0.1014964

-0.60245379

0.1014964-0.00758007-0.15095739

-0.040923530.256622680.206622680.00758007

0.397559490.04092131

-0.10149625-0.60244051

0.10149625-0.00758244-0.15094425

-0.040921310.256638190.206638190.00758244

0.397570060.04091954

-0.10149614-0.60242994

0.10149614-0.00758432

-0.1509338

-0.040919540.256650520.206650520.00758432

0.397578470.04091814

-0.10149604-0.60242153

0.10149604-0.00758582-0.15092549

-0.040918140.256660330.206660330.00758582

0.397585160.04091702

-0.10149597-0.60241484

0.10149597-0.00758701-0.15091887

-0.040917020.256668140.206668140.00758701

0.397590480.04091613

-0.10149591-0.60240952

0.10149591-0.00758796-0.15091361

-0.040916130.256674350.206674350.00758796

0.397594720.04091542

-0.10149586-0.60240528

0.10149586-0.00758872-0.15090942

-0.04091542

0.256679290.206679290.00758872

0.397598080.04091486

-0.10149583-0.60240192

0.10149583-0.00758932-0.15090609

-0.040914860.256683220.206683220.00758932

0.397600760.04091441-0.1014958

-0.60239924

0.1014958-0.00758979

-0.15090344

-0.040914410.256686350.206686350.00758979

0.39760290.04091406

-0.10149577-0.6023971

0.10149577-0.00759017-0.15090133

-0.040914060.256688840.206688840.00759017

0.39760459 397.6045920.04091377 40.9137717

-0.10149575 -101.495754-0.60239541 -602.395408

0.10149575 101.495754-0.00759047 -7.59047445-0.15089965 -150.899654

-0.04091377 -40.91377170.25669082 256.6908210.20669082 206.6908210.00759047 7.59047445

ITERACIÓN 1

CIRCUTO TRAMO h/Q0 ∆QQ0(m3/seg) h(m)

13-4 0.3 118 10.62 35.4 0.00659644-6 0.02 408 0.1632 8.16 0.014949176-3 -0.2 304 -12.16 60.8 0.0065964

Σ -1.3768 104.36 0.0065964

26-4 -0.02 408 -0.1632 8.16 -0.014949174-5 0.07 522 2.5578 36.54 -0.008352775-6 -0.08 213 -1.3632 17.04 -0.00835277

Σ 1.0314 61.74 -0.00835277

ITERACIÓN 2

13-4 0.3065964 118 11.0921594 36.178374856 -0.001004294-6 0.03494917 408 0.49834926 14.259260041 -0.002362546-3 -0.1934036 304 -11.3711059 58.794695286 -0.00100429

Σ 0.21940274 109.23233018 -0.00100429

26-4 -0.03494917 408 -0.49834926 14.259260041 0.002362544-5 0.06164723 522 1.98379889 32.179854227 0.001358255-6 -0.08835277 213 -1.66272314 18.819139942 0.00135825

Σ -0.17727351 65.25825421 0.00135825

ITERACIÓN 3

13-4 0.3055921 118 11.019611 36.059868168 0.000168944-6 0.03258663 408 0.43325041 13.295343787 0.000377046-3 -0.1944079 304 -11.4895068 59.100000651 0.00016894

CAUDAL SUPUESTO

RESISTENCIA

HIDRÁULICA

PERDIDA DE CARGA

CAUDAL SUPUESTO

RESISTENCIA

HIDRÁULICA

PERDIDA DE CARGA

CAUDAL SUPUESTO

RESISTENCIA

HIDRÁULICA

PERDIDA DE CARGA

Σ -0.03664547 108.45521261 0.00016894

26-4 -0.03258663 408 -0.43325041 13.295343787 -0.000377044-5 0.06300548 522 2.0721782 32.888858572 -0.00020815-6 -0.08699452 213 -1.61199405 18.529833571 -0.0002081

Σ 0.02693374 64.71403593 -0.0002081

ITERACIÓN 4

13-4 0.30576105 118 11.0317984 36.079803428 -2.5724E-054-6 0.03296367 408 0.44333419 13.449176521 -6.073E-056-3 -0.19423895 304 -11.4695465 59.048642015 -2.5724E-05

Σ 0.00558616 108.57762196 -2.5724E-05

26-4 -0.03296367 408 -0.44333419 13.449176521 6.07295E-054-5 0.06279738 522 2.05851258 32.780231347 3.50052E-055-6 -0.08720262 213 -1.61971532 18.574158473 3.50052E-05

Σ -0.00453693 64.803566342 3.50052E-05

ITERACIÓN 5

13-4 0.30573532 118 11.0299423 36.076767962 4.33043E-064-6 0.03290294 408 0.44170217 13.424398876 9.66164E-066-3 -0.19426468 304 -11.4725846 59.0564622 4.33043E-06

Σ -0.0009402 108.55762904 4.33043E-06

26-4 -0.03290294 408 -0.44170217 13.424398876 -9.6616E-064-5 0.06283238 522 2.06080818 32.798504077 -5.3312E-065-6 -0.08716762 213 -1.61841519 18.566702359 -5.3312E-06

Σ 0.00069081 64.789605313 -5.3312E-06

CAUDAL SUPUESTO

RESISTENCIA

HIDRÁULICA

PERDIDA DE CARGA

CAUDAL SUPUESTO

RESISTENCIA

HIDRÁULICA

PERDIDA DE CARGA

h13 7.6582h34 11.0299423h42 1.45

COTA1 90.1381423

0.30659640.03494917-0.1934036

-0.034949170.06164723

-0.08835277

0.30559210.03258663-0.1944079

-0.032586630.06300548

-0.08699452

0.305761050.03296367

-0.19423895

-0.032963670.06279738

-0.08720262

0.305735320.03290294

-0.19426468

-0.032902940.06283238

-0.08716762

0.30573965 305.7396520.0329126 32.9126001

-0.19426035 -194.260348

-0.0329126 -32.91260010.06282705 62.8270521

-0.08717295 -87.1729479

LIBRO DE JOSÉ AGUERA SORIApi 3.14159265

ITERACION1

Km m Q0(m3/seg) f

1-2 420 0.4 0.12 0.02 67.77984382-3 800 0.25 0.035 0.02 1353.758433-4 300 0.41 -0.065 0.02 42.79107544-1 810 0.4 -0.12 0.02 130.71827

21-4 810 0.4 0.12 0.02 130.718274-5 920 0.3 -0.055 0.02 625.6519235-1 450 0.4 -0.135 0.02 72.6212612

ITERACION2

Km m Q0(m3/seg) f

1-2 420 0.4 0.116139313 0.02 67.77984382-3 800 0.25 0.031139313 0.02 1353.758433-4 300 0.41 -0.06886069 0.02 42.79107544-1 810 0.4 -0.13499388 0.02 130.71827

21-4 810 0.4 0.134993876 0.02 130.718274-5 920 0.3 -0.04386681 0.02 625.6519235-1 450 0.4 -0.12386681 0.02 72.6212612

ITERACION3

Km m Q0(m3/seg) f

1-2 420 0.4 0.118674807 0.02 67.77984382-3 800 0.25 0.033674807 0.02 1353.758433-4 300 0.41 -0.06632519 0.02 42.79107544-1 810 0.4 -0.13186714 0.02 130.71827

CAUDAL SUPUESTO

COE. FRICCION

CAUDAL SUPUESTO

COE. FRICCION

CAUDAL SUPUESTO

COE. FRICCION

21-4 810 0.4 0.131867138 0.02 130.718274-5 920 0.3 -0.04445806 0.02 625.6519235-1 450 0.4 -0.12445806 0.02 72.6212612

ITERACION4

Km m Q0(m3/seg) f

1-2 420 0.4 0.118481799 0.02 67.77984382-3 800 0.25 0.033481799 0.02 1353.758433-4 300 0.41 -0.0665182 0.02 42.79107544-1 810 0.4 -0.13287775 0.02 130.71827

21-4 810 0.4 0.132877746 0.02 130.718274-5 920 0.3 -0.04364046 0.02 625.6519235-1 450 0.4 -0.12364046 0.02 72.6212612

ITERACION4

Km m Q0(m3/seg) f

1-2 420 0.4 0.118673913 0.02 67.77984382-3 800 0.25 0.033673913 0.02 1353.758433-4 300 0.41 -0.06632609 0.02 42.79107544-1 810 0.4 -0.13262673 0.02 130.71827

21-4 810 0.4 0.132626728 0.02 130.718274-5 920 0.3 -0.04369936 0.02 625.6519235-1 450 0.4 -0.12369936 0.02 72.6212612

NUDOS COTAS(m)

1-62.010682491

6 931 552 563 48

CAUDAL SUPUESTO

COE. FRICCION

CAUDAL SUPUESTO

COE. FRICCION

TRAMOS FALTANTES(PERDIDAD)

4 575 52

h/Q0 ∆Q Qh(m)

0.976 8.134 -0.004 0.116139311.658 47.382 -0.004 0.03113931

-0.181 2.781 -0.004 -0.06886069-1.882 15.686 -0.015 -0.13499388

0.5712484413 73.982738571 -0.003860687

1.8823430906 15.686192422 0.0149938761 0.13499388-1.892597067 34.410855756 0.0111331887 -0.04386681-1.323522486 9.8038702636 0.0111331887 -0.12386681-1.333776462 59.900918441 0.0111331887

h/Q0 ∆Q Qh(m)

0.9142375749 7.8719044722 0.0025354942 0.118674811.3126810578 42.155106995 0.0025354942 0.03367481-0.202906476 2.9466228629 0.0025354942 -0.06632519-2.382124341 17.646165964 0.0031267381 -0.13186714-0.358112184 70.619800294 0.0025354942

2.382124341 17.646165964 -0.003126738 0.13186714-1.2039402 27.445354813 -0.000591244 -0.04445806

-1.114227062 8.9953640559 -0.000591244 -0.124458060.0639570798 54.086884832 -0.000591244

h/Q0 ∆Q Qh(m)

0.9545916491 8.0437598711 -0.000193008 0.11848181.5351520623 45.587553599 -0.000193008 0.0334818-0.188239278 2.8381263407 -0.000193008 -0.0665182

-2.27305243 17.237444174 -0.001010608 -0.132877750.0284520039 73.706883984 -0.000193008

PERDIDA DE CARGA

2.2730524297 17.237444174 0.0010106078 0.13287775-1.236612705 27.815267686 0.0008176001 -0.04364046-1.124889356 9.0383009325 0.0008176001 -0.12364046-0.088449631 54.091012792 0.0008176001

h/Q0 ∆Q Qh(m)

0.9514891575 8.030677834 0.0001921144 0.118673911.5176049876 45.326267692 0.0001921144 0.03367391-0.189336433 2.8463853511 0.0001921144 -0.06632609-2.308026528 17.369549082 0.0002510183 -0.13262673-0.028268816 73.572879959 0.0001921144

2.3080265284 17.369549082 -0.000251018 0.13262673-1.191547405 27.303734636 -5.890394E-05 -0.04369936

-1.11015847 8.9789257848 -5.890394E-05 -0.123699360.0063206533 53.652209503 -5.890394E-05

h/Q0 ∆Q Q Q(lps)h(m)

0.9545772765 8.0436993165 -1.415163E-05 0.11865976 118.6597621.5350706074 45.586344149 -1.415163E-05 0.03365976 33.6597618-0.188244349 2.8381645703 -1.415163E-05 -0.06634024 -66.3402382-2.299314615 17.336736402 -7.628358E-05 -0.13270301 -132.703011

0.00208892 73.804944438 -1.415163E-05

2.299314615 17.336736402 7.628358E-05 0.13270301 132.703011-1.194766171 27.340588 6.213195E-05 -0.04363723 -43.6372271

-1.11121651 8.9832034634 6.213195E-05 -0.12363723 -123.637227-0.006668066 53.660527866 6.213195E-05

ALTURA PIEZOMÉTRICA(m) ALTURA DE PRESION(m)

93.0 0.091.0 36.090.0 34.088.5 40.5

PERDIDA DE CARGA

88.7 31.791.9 39.9

Hardy Croos Tuberias

Documents

Transcript of Hardy Croos Tuberias

sistemas de Tuberias

TUBERIAS INSTALADAS

Catalogo tuberias urania

Corrosion en Tuberias

Tuberias Serie Paralelo

Tuberias en Serie

tuberias medidas

k Tuberias

Tuberias Trabajo

Dimensiones Tuberias

inst elec. tuberias

Customer Service as a Differentiator Croos Sectionnal Study

Hidraulica en Tuberias

Practica Tuberias

TUBERIAS EQUIVALENTES

tuberias hadp PAVCO

Manual Tuberias Nicoll

Sistemas de Tuberias

tuberias chemcad

tuberias inoxidable.pdf