Hardy Croos Tuberias

137
METODO DE HARDY CROO ITERACION 1 TRAMO DIAMETRO LONGITUD C D(m) m (lps) 1 AB 0.50 900.00 100.00 160.00 BE 0.40 1200.00 100.00 40.00 EF 0.40 900.00 100.00 -80.00 FA 0.60 1200.00 100.00 -240.00 2 BC 0.50 900.00 100.00 120.00 CD 0.40 1200.00 100.00 80.00 DE 0.30 900.00 100.00 -60.00 EB 0.40 1200.00 100.00 -40.00 3 FE 0.40 900.00 100.00 80.00 EH 0.30 1200.00 100.00 40.00 HG 0.40 900.00 100.00 -80.00 GF 0.40 1200.00 100.00 -160.00 4 ED 0.30 900.00 100.00 60.00 DI 0.30 1200.00 100.00 40.00 IH 0.30 900.00 100.00 -40.00 HE 0.30 1200.00 100.00 -40.00 ITERACIÓN 2 TRAMO DIAMETRO LONGITUD C D(m) m (lps) 1 AB 0.50 900.00 100.00 172.69 BE 0.40 1200.00 100.00 47.36 LAZO O CIRCUITO Caudal supuesto LAZO O CIRCUITO Caudal supuesto =0 .0301 1 .851 1 .851 4 .871

description

ejercicios Hardy Croos redes de tuberias

Transcript of Hardy Croos Tuberias

Page 1: 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)

1

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 2

TRAMO DIAMETRO LONGITUDC

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

1

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

Page 2: Hardy Croos Tuberias

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 3

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Σ

3

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

Page 3: Hardy Croos Tuberias

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

Σ

4

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

Σ

ITERACIÓN 4

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

Page 4: Hardy Croos Tuberias

ITERACIÓN 5

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 6

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

Page 5: Hardy Croos Tuberias

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 7

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Σ

3

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

Σ

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

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4

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

Σ

ITERACION 8

TRAMODIAMETRO LONGITUD C Pérdida de carga

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

1

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 9

TRAMO DIAMETRO LONGITUDC

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

LAZO O CIRCUITO

Caudal supuesto

LAZO O CIRCUITO

Caudal supuesto

Pérdida de carga

Page 7: Hardy Croos Tuberias

1

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 10

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Page 8: Hardy Croos Tuberias

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 11

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Σ

3

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

Σ

4

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

Page 9: Hardy Croos Tuberias

Σ

ITERACIÓN 12

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 12

TRAMO DIAMETRO LONGITUDC

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

1

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

Page 10: Hardy Croos Tuberias

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

Σ

2

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

Σ

3

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

Σ

4

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

Σ

ITERACIÓN 13

TRAMO DIAMETRO LONGITUDC

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

1

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

Σ

2

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

Σ

3

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

Page 11: Hardy Croos Tuberias

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

Σ

4

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

Σ

Page 12: Hardy Croos Tuberias

METODO DE HARDY CROOS-HAZZEN Y WILLIAMS n=1.85

Pérdida de cargah/Q0 ∆Q Q1(lps)

h(m)

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)

h(m)

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

Page 13: Hardy Croos Tuberias

-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)

h(m)

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

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-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)

h(m)

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

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h/Q0 ∆Q Q1(lps)

h(m)

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)

h(m)

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

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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)

h(m)

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

Page 17: Hardy Croos Tuberias

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)

h(m)

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)

h(m)

Page 18: Hardy Croos Tuberias

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)

h(m)

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

Page 19: Hardy Croos Tuberias

-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)

h(m)

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

Page 20: Hardy Croos Tuberias

-0.1760 0.2410 0.3948

h/Q0 ∆Q Q1(lps)

h(m)

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)

h(m)

2.4405 0.0133 0.1671 183.74820.9334 0.0180 0.1960 52.1723

Page 21: Hardy Croos Tuberias

-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)

h(m)

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

Page 22: Hardy Croos Tuberias

-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

Page 23: Hardy Croos Tuberias
Page 24: Hardy Croos Tuberias

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

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

Σ

2

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

Σ

ITERACIÓN 2

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

CAUDAL SUPUESTO

CAUDAL SUPUESTO

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

𝑄=𝑄0+∆𝑄

ℎ= 𝐽1000∗𝐿

Page 25: Hardy Croos Tuberias

ITERACIÓN 3

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 4

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 5

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 26: Hardy Croos Tuberias

1

6-1 0.2 200 95 -82.8645847 59.3449727Σ

2

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

Σ

ITERACIÓN 6

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 7

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

CAUDAL SUPUESTO

Page 27: Hardy Croos Tuberias

Σ

ITERACIÓN 8

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 9

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 10

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 28: Hardy Croos Tuberias

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 11

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 12

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 29: Hardy Croos Tuberias

Σ

2

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

Σ

ITERACIÓN 13

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

ITERACIÓN 14

CIRCUITO TRAMODIÁMETRO LONGITUD COEFICIENTE PERDIDA DE CARGA

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

1

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

Σ

2

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

Σ

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 30: Hardy Croos Tuberias

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

Page 31: Hardy Croos Tuberias

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

Page 32: Hardy Croos Tuberias

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

Page 33: Hardy Croos Tuberias

-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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

Page 34: Hardy Croos Tuberias

0.01875025 2.80023418 -0.00361944

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

Page 35: Hardy Croos Tuberias

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

Page 36: Hardy Croos Tuberias

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

PERDIDA DE CARGAh/Q0 ∆Q

Q1

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

Page 37: Hardy Croos Tuberias

PRESIÓN HIDROSTÁTICAm H2O

7044.366550363516743.12507784941622.151359262016

24.077826158685463.2099558733319

Page 38: Hardy Croos Tuberias
Page 39: Hardy Croos Tuberias
Page 40: Hardy Croos Tuberias

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

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

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

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

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

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

CAUDAL SUPUESTO

𝑓= ቈ−2∗𝑙𝑜𝑔∗ቆ𝑘/𝐷3.7 + 2.51𝑅𝑒𝐷ඥ𝑓ቇ−2

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

Page 41: Hardy Croos Tuberias

ITERACIÓN 3

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

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

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

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

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

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

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

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

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

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

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

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 42: Hardy Croos Tuberias

2

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

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

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

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

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

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

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

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

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

CAUDAL SUPUESTO

Page 43: Hardy Croos Tuberias

CIRCUITO TRAMO LONGITUD DIÁMETROREYNOLDS COEFICIENTE FRICCIÓN(f)

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

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

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

Page 44: Hardy Croos Tuberias

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

Page 45: Hardy Croos Tuberias

COEFICIENTE FRICCIÓN(f)K

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

COEFICIENTE FRICCIÓN(f)K

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

COEFICIENTE FRICCIÓN(f)K

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

Page 46: Hardy Croos Tuberias

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

COEFICIENTE FRICCIÓN(f)K

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

COEFICIENTE FRICCIÓN(f)K

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

Page 47: Hardy Croos Tuberias

COEFICIENTE FRICCIÓN(f)K

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

Page 48: Hardy Croos Tuberias

Q1

0.09612794-0.00117699-0.10387206

0.03730493-0.01269507-0.052695070.00117699

Q1

0.10345897-0.0005659

-0.09654103

0.04402487-0.00597513-0.04597513

0.0005659

Page 49: Hardy Croos Tuberias

Q1

0.10463944-0.0006339

-0.09536056

0.04527333-0.00472667-0.04472667

0.0006339

Q1

0.10477721-0.00061896-0.09522279

0.04539617-0.00460383-0.044603830.00061896

Q1

0.1047926-0.00061472

-0.0952074

Page 50: Hardy Croos Tuberias

0.04540732-0.00459268-0.044592680.00061472

Q1

0.10479413-0.00061425-0.09520587

0.04540838-0.00459162-0.044591620.00061425

Q1

0.10479428-0.0006142

-0.09520572

0.04540849-0.00459151-0.04459151

0.0006142

Page 51: Hardy Croos Tuberias

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

Page 52: Hardy Croos Tuberias

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

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 53: Hardy Croos Tuberias

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 54: Hardy Croos Tuberias

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 55: Hardy Croos Tuberias

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 56: Hardy Croos Tuberias

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

Page 57: Hardy Croos Tuberias

ITERACIÓN10

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CAUDAL SUPUESTO

Page 58: Hardy Croos Tuberias

ITERACIÓN12

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 59: Hardy Croos Tuberias

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

ITERACIÓN15

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 60: Hardy Croos Tuberias

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 61: Hardy Croos Tuberias

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 62: Hardy Croos Tuberias

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 63: Hardy Croos Tuberias

CIRCUITO TRAMOm m Q0( m^3/seg)

REYNOLDSf0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

Page 64: Hardy Croos Tuberias

ITERACIÓN24

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CAUDAL SUPUESTO

Page 65: Hardy Croos Tuberias

ITERACIÓN 26

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

5-2 1400 0.2 -0.04098025 260888.397 0.015

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 66: Hardy Croos Tuberias

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 67: Hardy Croos Tuberias

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

00

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

00

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 68: Hardy Croos Tuberias

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 69: Hardy Croos Tuberias

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 70: Hardy Croos Tuberias

CIRCUITO TRAMOm m Q0( m^3/seg)

REYNOLDSf0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

Page 71: Hardy Croos Tuberias

ITERACIÓN 26

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CAUDAL SUPUESTO

Page 72: Hardy Croos Tuberias

ITERACIÓN 28

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

5-2 1400 0.2 -0.04091613 260480.173 0.015

CAUDAL SUPUESTO

CAUDAL SUPUESTO

Page 73: Hardy Croos Tuberias

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 74: Hardy Croos Tuberias

23-4 4100 0.35 -0.15090609 548970.293 0.015

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

3

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

REYNOLDSCOEFIIENTE DE FRICCION

m m Q0( m^3/seg) f0

1

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

CAUDAL SUPUESTO

Page 75: Hardy Croos Tuberias

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

3

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

Page 76: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 77: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 78: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 79: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

f1 f2 f3 f4 h

PERDIDA DE CARGA(m)

PERDIDA DE CARGA(m)

Page 80: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

Page 81: Hardy Croos Tuberias

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 82: Hardy Croos Tuberias

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 83: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 84: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 85: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 86: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

PERDIDA DE CARGA(m)

PERDIDA DE CARGA(m)

Page 87: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

Page 88: Hardy Croos Tuberias

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 89: Hardy Croos Tuberias

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 90: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 91: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 92: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 93: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

PERDIDA DE CARGA(m)

PERDIDA DE CARGA(m)

Page 94: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

Page 95: Hardy Croos Tuberias

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 96: Hardy Croos Tuberias

Σ -0.00713381 456.912444 7.80654E-06

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 97: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 98: Hardy Croos Tuberias

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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

COEFIIENTE DE FRICCIONK h/Q ∆Q

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)

PERDIDA DE CARGA(m)

Page 99: Hardy Croos Tuberias

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

Page 100: Hardy Croos Tuberias

Q

0.308463630.07110191

-0.08978196-0.69153637

0.089781960.01088387

-0.25175441

-0.071101910.137361720.08736172

-0.01088387

Q

0.311610330.05176005

-0.11555158-0.68838967

0.115551580.01731163-0.2228381

Page 101: Hardy Croos Tuberias

-0.051760050.159850270.10985027

-0.01731163

Q

0.331415450.05768893-0.1027144

-0.66858455

0.10271440.01040333

-0.21587015

-0.057688930.173726520.12372652

-0.01040333

Q

0.340148120.05096607

-0.10771027-0.65985188

0.10771027

Page 102: Hardy Croos Tuberias

0.00867634-0.20214161

-0.050966070.189182050.13918205

-0.00867634

Q

0.351745980.05060804

-0.10496271-0.64825402

0.104962710.00557076

-0.19329131

-0.050608040.201137930.15113793

-0.00557076

Q

0.360041630.04739969-0.1056705

Page 103: Hardy Croos Tuberias

-0.63995837

0.10567050.00307019

-0.18428788

-0.047399690.212641930.16264193

-0.00307019

Q

0.368091830.04580631

-0.10461711-0.63190817

0.104617110.00042342

-0.17729106

-0.045806310.222285520.17228552

-0.00042342

Q

Page 104: Hardy Croos Tuberias

0.374587360.04320755

-0.10438964-0.62541264

0.10438964-0.00240281

-0.171023

-0.043207550.231379810.181379810.00240281

Q

0.380524880.04376425

-0.10230161-0.61947512

0.10230161-0.00393413-0.16717351

-0.043764250.236760630.186760630.00393413

Page 105: Hardy Croos Tuberias

Q

0.384073510.04275937-0.1023847

-0.61592649

0.1023847-0.00485592-0.16354179

-0.042759370.241314130.191314130.00485592

Q

0.387155010.04261917

-0.10187056-0.61284499

0.10187056-0.00551027-0.16097444

-0.042619170.244535830.194535830.00551027

Page 106: Hardy Croos Tuberias

Q

0.389338880.04217652

-0.10182266-0.61066112

0.10182266-0.00600081-0.15883845

-0.042176520.247162360.197162360.00600081

Q

0.391118810.04196858

-0.10167607-0.60888119

0.10167607-0.00635535-0.15720512

-0.041968580.24915023

Page 107: Hardy Croos Tuberias

0.199150230.00635535

Q

0.39247190.0417348

-0.10163422-0.6075281

0.10163422-0.00663098-0.15589388

-0.04173480.25073710.2007371

0.00663098

Q

0.39355020.04157692

-0.10158474-0.6064498

0.10158474-0.00683834-0.15486506

Page 108: Hardy Croos Tuberias

-0.041576920.251973280.201973280.00683834

Q

0.394392180.04143816

-0.10156134-0.60560782

0.10156134-0.0070005

-0.15404648

-0.041438160.252954020.20295402

0.0070005

Q

0.395059680.04133281

-0.10154151-0.60494032

Page 109: Hardy Croos Tuberias

0.10154151-0.00712568-0.15339881

-0.041332810.253726870.203726870.00712568

Q

0.39558620.04124655

-0.10152951-0.6044138

0.10152951-0.00722394-0.15288429

-0.041246550.254339650.204339650.00722394

Q

0.396003590.04117875

-0.10152041

Page 110: Hardy Croos Tuberias

-0.60399641

0.10152041-0.00730084

-0.152476

-0.041178750.254824840.204824840.00730084

Q

0.39633420.04112436

-0.10151422-0.6036658

0.10151422-0.00736143-0.15215158

-0.041124360.255209840.205209840.00736143

Q

Page 111: Hardy Croos Tuberias

Q

0.396596540.0410812

-0.10150962-0.60340346

0.10150962-0.00740917-0.15189384

-0.04108120.255515330.205515330.00740917

Q

0.396804730.04104678

-0.10150631-0.60319527

0.10150631-0.00744692-0.15168896

-0.041046780.255757950.205757950.00744692

Page 112: Hardy Croos Tuberias

Q

0.396970080.0410194

-0.10150383-0.60302992

0.10150383-0.00747677

-0.1515261

-0.04101940.255950680.205950680.00747677

Q

0.397101430.0409976

-0.10150197-0.60289857

0.10150197-0.00750043-0.15139659

-0.04099760.256103830.206103830.00750043

Page 113: Hardy Croos Tuberias

Q

0.397205820.04098025

-0.10150057-0.60279418

0.10150057-0.00751918-0.15129361

-0.040980250.256225570.206225570.00751918

Q

0.39728880.04096645

-0.10149949-0.6027112

0.10149949-0.00753406-0.15121171

-0.04096645

Page 114: Hardy Croos Tuberias

0.256322360.206322360.00753406

Q

0.397354770.04095546

-0.10149867-0.60264523

0.10149867-0.00754588-0.15114656

-0.040955460.256399310.206399310.00754588

Q

0.397407230.04094672

-0.10149803-0.60259277

0.10149803-0.00755526-0.15109474

Page 115: Hardy Croos Tuberias

-0.040946720.256460510.206460510.00755526

Q

0.397448950.04093976

-0.10149753-0.60255105

0.10149753-0.00756271-0.15105352

-0.040939760.256509190.206509190.00756271

Q

0.397482130.04093422

-0.10149714-0.60251787

Page 116: Hardy Croos Tuberias

0.10149714-0.00756864-0.15102073

-0.040934220.25654790.2065479

0.00756864

Q

0.397508520.04092982

-0.10149683-0.60249148

0.10149683-0.00757335-0.15099465

-0.040929820.25657870.2065787

0.00757335

Q Qf

0.39752951 397.5295110.04092631 40.9263142

Page 117: Hardy Croos Tuberias

-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

Q

0.397546210.04092353-0.1014964

-0.60245379

0.1014964-0.00758007-0.15095739

-0.040923530.256622680.206622680.00758007

Q

Page 118: Hardy Croos Tuberias

Q

0.397559490.04092131

-0.10149625-0.60244051

0.10149625-0.00758244-0.15094425

-0.040921310.256638190.206638190.00758244

Q

0.397570060.04091954

-0.10149614-0.60242994

0.10149614-0.00758432

-0.1509338

-0.040919540.256650520.206650520.00758432

Page 119: Hardy Croos Tuberias

Q

0.397578470.04091814

-0.10149604-0.60242153

0.10149604-0.00758582-0.15092549

-0.040918140.256660330.206660330.00758582

Q

0.397585160.04091702

-0.10149597-0.60241484

0.10149597-0.00758701-0.15091887

-0.040917020.256668140.206668140.00758701

Page 120: Hardy Croos Tuberias

Q

0.397590480.04091613

-0.10149591-0.60240952

0.10149591-0.00758796-0.15091361

-0.040916130.256674350.206674350.00758796

Q

0.397594720.04091542

-0.10149586-0.60240528

0.10149586-0.00758872-0.15090942

-0.04091542

Page 121: Hardy Croos Tuberias

0.256679290.206679290.00758872

Q

0.397598080.04091486

-0.10149583-0.60240192

0.10149583-0.00758932-0.15090609

-0.040914860.256683220.206683220.00758932

Q

0.397600760.04091441-0.1014958

-0.60239924

0.1014958-0.00758979

Page 122: Hardy Croos Tuberias

-0.15090344

-0.040914410.256686350.206686350.00758979

Q

0.39760290.04091406

-0.10149577-0.6023971

0.10149577-0.00759017-0.15090133

-0.040914060.256688840.206688840.00759017

Q Qf

0.39760459 397.6045920.04091377 40.9137717

-0.10149575 -101.495754-0.60239541 -602.395408

Page 123: Hardy Croos Tuberias

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

Page 124: Hardy Croos Tuberias

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

CIRCUTO TRAMO h/Q0 ∆QQ0(m3/seg) h(m)

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

CIRCUTO TRAMO h/Q0 ∆QQ0(m3/seg) h(m)

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

Page 125: Hardy Croos Tuberias

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

CIRCUTO TRAMO h/Q0 ∆QQ0(m3/seg) h(m)

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

CIRCUTO TRAMO h/Q0 ∆QQ0(m3/seg) h(m)

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

Page 126: Hardy Croos Tuberias

h13 7.6582h34 11.0299423h42 1.45

COTA1 90.1381423

Page 127: Hardy Croos Tuberias

Q

0.30659640.03494917-0.1934036

-0.034949170.06164723

-0.08835277

Q

0.30559210.03258663-0.1944079

-0.032586630.06300548

-0.08699452

Q

0.305761050.03296367

-0.19423895

Page 128: Hardy Croos Tuberias

-0.032963670.06279738

-0.08720262

Q

0.305735320.03290294

-0.19426468

-0.032902940.06283238

-0.08716762

Q Q

0.30573965 305.7396520.0329126 32.9126001

-0.19426035 -194.260348

-0.0329126 -32.91260010.06282705 62.8270521

-0.08717295 -87.1729479

Page 129: Hardy Croos Tuberias
Page 130: Hardy Croos Tuberias

LIBRO DE JOSÉ AGUERA SORIApi 3.14159265

ITERACION1

CIRCUITO TRAMOLONGITUD DIÁMETRO

Km m Q0(m3/seg) f

1

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

Km m Q0(m3/seg) f

1

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

Km m Q0(m3/seg) f

1

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

Page 131: Hardy Croos Tuberias

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

Km m Q0(m3/seg) f

1

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

CIRCUITO TRAMOLONGITUD DIÁMETRO

Km m Q0(m3/seg) f

1

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)

Page 132: Hardy Croos Tuberias

4 575 52

Page 133: Hardy Croos Tuberias

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

PERDIDA DE CARGA

PERDIDA DE CARGA

Page 134: Hardy Croos Tuberias

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

PERDIDA DE CARGA

Page 135: Hardy Croos Tuberias

88.7 31.791.9 39.9