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vii- RESULTADOS

tablas experimentales

TABLA N 1: Condiciones de laboratorioPresin (mmHg)756

Temperatura (C)23

TABLA N 2: Propiedades del fluidoTemperatura del agua(C)23C

Densidad del agua (Kg/m3)997.538

Viscosidad del agua (Kg/m.s)0.00098

TABLA N 3: Caractersticas de tuberas de hierro galvanizadoDimetro Nominal (pulg.)2"1"

Cdula4040

Dimetro Interior (m)0.05250.04089

Rugosidad Relativa (e/D)0.002860.00367

TABLA N 4: Dimensiones del tanque de descargaLargo(m)0.435

Ancho(m)0.435

Altura(m)0.20

TABLA N 5: Dimensiones del VenturiDimetro de la garganta (m)0.0187

rea de la garganta (m2)0.0147

Longitud del Venturi (m)0.415

TABLA N6: Datos experimentales. Lecturas de los piezmetros en las corridas.

N PiezmetroReferencia (cm) Altura de la corrida 1 (cm)Altura de la corrida 2 (cm)Altura de la corrida 3 (cm)Altura de la corrida 4 (cm)Altura de la corrida 5 (cm)Altura de la corrida 6 (cm)

1130.9129.5127.5125.8124.3122.3121.9

2132.2120.8127.7125.2123.4119.7118.8

3131.8129.8126.6123.5121.4117.7116.4

4130.7124.1113.6103.797.386.780.5

5129.3122.2110.599.592.579.574.4

6155147.2133.2121.3113.498.692.5

7154.5145.5131.5118.2109.794.587.1

8155.2146.1132.1118.3109.192.786.1

9156.7146.6130.2114.5108.786.578.7

10155.6143.2123.1104.792.270.160.9

11151.8139.4118.5102.488.266.857.2

12155.4142.1120.7101.789.767.457.4

TABLA N 7: Descripcin del sistema de tuberas y accesoriosEstacionesPiezomtricasLongitud tubera recta 2 (m.)Longitud tubera recta 1 (m.)Dimetro de tubera (Pulg.)Accesorios

1-23.07-21 Vlvula compuerta

2-31.47-21 Unin universal

3-46.82-21 Medidor de Venturi

4-52.27-21 Codo 90 radio largo

5-61.78-22 Codos de 90 radio corto

6-72.01-21 Codo de 90 radio corto y 1 unin universal

7-81.5-2Ninguno (Tubera recta)

8-90.790.82 1 1 Contraccin o reduccin

9-104.5-1 1 Unin universal

10-110.80.7951 - 21 Expansin tipo campana

11-123.07-2Ninguno (Tubera recta)

TABLA N 8: Longitudes equivalentes y coeficientes en accesorios

AccesoriosCoeficientes de prdidas por friccin de accesorios (K)Longitud Equivalente (Le)

1 Vlvula compuerta0.150.4

1 Unin universal0.0460.11

1 Codo 90 radio largo0.41.1

2 Codos de 90 radio corto0.73.4

1 Codo de 90 radio corto y 1 unin universal0.941.78

1 Contraccin tipo campana0.197-

1 Unin universal0.040.08

1 Expansin tipo campana0.155-

TABLA N 9: Diferencia de presiones en el Venturimetro para diversos flujos medidosCorridaCada de presin H (mmHg)

11.8

24.4

36.6

48.2

510.8

612.4

TABLA N 10: Tiempos medidos en el tanque de descarga

CorridaCada de presin H (cmHg)Altura total (cm)Tiempo promedio(s)

11.82090.75

24.42055.72

36.62044.12

48.22039.47

510.82034.10

612.42032.16

TABLA N 11: Cada de presin experimental con respecto a las referencias

N PiezmetroReferencia (cm)Cada de presin P1 (cmH2O)Cada de presin P2 (cmH2O)Cada de presin P3 (cmH2O)Cada de presin P4 (cmH2O)Cada de presin P5 (cmH2O)Cada de presin P6 (cmH2O)

1130.91.43.45.16.68.69

2132.211.44.578.812.513.4

3131.825.28.310.414.115.4

4120.7-3.47.11723.43440.2

5129.38.718.829.836.849.854.9

61557.821.833.741.656.462.5

7154.592336.344.86067.4

8155.29.123.136.946.162.569.1

9156.710.126.542.24870.278

10155.612.432.550.963.485.594.7

11151.812.433.349.463.68594.6

12155.413.334.753.765.78898

TABLA N 12: Cada de presin experimental por tramosEstaciones PiezomtricasCada de presin P1 (mH2O)Cada de presin P2 (mH2O)Cada de presin P3 (mH2O)Cada de presin P4 (mH2O)Cada de presin P5 (mH2O)Cada de presin P6 (mH2O)

1-20.10000.01100.01900.02200.03900.0440

2-3-0.09400.00700.01300.01600.01600.0200

3-4-0.05400.01900.08700.13000.19900.2480

4-50.12100.11700.12800.13400.15800.1470

5-6-0.00900.03000.03900.04800.06600.0760

6-70.01200.01200.02600.03200.03600.0490

7-80.00100.00100.00600.01300.02500.0170

8-90.01000.03400.05300.01900.07700.0890

9-100.02300.06000.08700.15400.15300.1670

10-110.00000.0080-0.01500.0020-0.0050-0.0010

11-120.00900.01400.04300.02100.03000.0340

TABLA N 13: Caudales experimentalesCorridaTiempo Promedio (s)Q (m3/s)

190.750.000521281

255.720.000848999

344.120.001072218

439.470.001198537

534.100.00138728

632.160.00147097

TABLA N 14: Velocidad en tuberasCorridaQ (m3/s)Velocidad (m/s)

2"1"

10.0005212810.24080.3970

20.0008489990.39220.6

30.0010722180.49530.8165

40.0011985370.55370.9127

50.001387280.64081.0564

60.001470970.67951.1201

TABLA N 15: Nmero de Reynolds experimentalCorridaReTipo de flujo

2"1" 1/221

112868.44516522.215TurbulentoTurbulento






TABLA N 16: Factor de DarcyCorridaReRugosidadRelativa (/D)FACTOR DE FRICCIN DE DARCY (f)

2"1" 1/22"1" 1/221

112868.44516522.215

0.00286

0.003670.03440.0312

220958.56826909.3860.03240.0288

326468.9833984.3840.02970.0272

429587.31737988.1180.02920.026

534246.66943970.4110.02850.0263

636312.54446622.8550.02830.0261

TABLA N 17: Prdidas experimentales de presin por friccin corrida 1CORRIDA 1

EstacinhL tubera recta(m)hm ACCESORIO(m)hf TOTAL (m)

1-20.002046670.097953330.1

2-30.00098-0.09498-0.094

3-40.004546670-0.054

4-50.001513330.119486670.121

5-60.00118667-0.01018667-0.009

6-70.001340.010660.012

7-80.00100.001

8-90.02150089-0.006419690.01

9-100.0030.020.023

10-110.02137647-0.026457670

11-120.00900.009

Prdidas Totales0.06750.11010.1190



1-20.002046670.008953330.011

2-30.000980.006020.007

3-40.0045466700.019

4-50.001513330.115486670.117

5-60.001186670.028813330.03

6-70.001340.010660.012

7-80.00100.001

8-90.010123110.037355260.034

9-100.053980.006020.06

10-110.0100698-0.015548170.008

11-120.01400.014

Prdidas totales0.10080.19780.3130



1-20.012280.006720.019

2-30.005880.007120.013

3-40.027280.059720.087

4-50.009080.118920.128

5-60.007120.031880.039

6-70.008040.017960.026

7-80.00600.006

8-90.017360890.057136640.053

9-100.079880.007120.087

10-110.01731213-0.05380966-0.015

11-120.04300.043




1-20.02660667-0.004606670.022

2-30.0130.0030.016

3-40.059106670.070893330.13

4-50.019673330.114326670.134

5-60.015426670.032573330.048

6-70.017420.014580.032

7-80.01300.013

8-90.035043410.010817780.019

9-100.15860667-0.004606670.154

10-110.03495384-0.059815030.002

11-120.02100.021




1-20.05116667-0.012166670.039

2-30.0245-0.00850.016

3-40.113666670.085333330.199

4-50.037833330.120166670.158

5-60.029666670.036333330.066

6-70.03350.00250.036

7-80.02500.025

8-90.028366670.084620760.077

9-100.0855-0.00850.077

10-110.028438330.088574240.153

11-120.03-0.035-0.005




1-20.034793330.009206670.044

2-30.016660.003340.02

3-40.077293330.170706670.248

4-50.025726670.121273330.147

5-60.020173330.055826670.076

6-70.022780.026220.049

7-80.01700.017

8-90.038048440.09141170.089

9-100.163660.003340.167

10-110.03797993-0.07944008-0.001

11-120.03400.034


TABLA N 23 Calibracin del Venturi Caudal En el venturi H(cmHg) En el Venturi P(mH2O)Q exp (m3/s)Log HLog Q

Q11.80.24480.0005-0.6112-3.283

Q24.40.59840.0008-0.2230-3.071

Q36.60.89760.0011-0.0469-2.970

Q48.21.11520.00120.0474-2.921

Q510.81.46880.00140.1670-2.858

Q612.41.68640.00150.2270-2.832

TABLA N 24: Determinacin del coeficiente experimental de VenturiCaudal En el venturi H(mmHg) En el Venturi H(mH2O)Coef. De Venturi (Cv)Promedio CV

Q11.80.24480.9474

0.9990

Q24.40.59840.9841

Q36.60.89761.0012

Q48.21.11521.0105

Q510.81.46881.0224

Q612.41.68641.0284

TABLA N 25: Prdidas de friccin tericas corridasCAUDAL Q1

Estaciones piezometricasHL tubera recta (m)Hm ACCESORIO (coeficiente K)hf total (coeficiente K) (m)Hm ACCESORIO (utilizando L equivalente)hf total (utilizando L equivalente) (m)

1-20.00670.00050.00720.00090.0075

2-30.00340.00020.00360.00020.0037

3-40.01490.00000.01490.00000.0149

4-50.00490.00140.00640.00240.0073

5-60.00390.00500.00900.00740.0114

6-70.00430.00340.00770.00210.0064

7-80.00330.00000.00330.00000.0033

8-90.00800.00260.01060.00000.0080

9-100.03520.00040.03560.00060.0358

10-110.00800.00210.01010.00000.0080

11-120.00670.00000.00670.00000.0067

TOTAL=0.1149=0.1129

CAUDAL Q2

Estaciones piezometricasHL tubera recta (m)Hm ACCESORIO (Coeficiente K)(m)hf total (Coeficiente K) (m)Hm ACCESORIO (longitud equivalente)hf total (longitud equivalente) (m)

1-20.01740.001420.01890.00230.0197

2-30.00900.000440.00940.00060.0096

3-40.03910.000000.03910.00000.0391

4-50.01290.003790.01670.00630.0192

5-60.01030.013270.02360.01950.0298

6-70.01130.008910.02020.00540.0167

7-80.00860.000000.00860.00000.0086

8-90.01880.006940.02570.00000.0188

9-100.08000.000380.08040.00140.0815

10-110.01880.005460.02420.00000.0188

11-120.02280.000000.02280.00000.0228

TOTAL=0.2895=0.2845

CAUDAL Q3


1-20.02500.002210.02720.00330.0283

2-30.01290.000680.01350.00090.0138

3-40.05610.000000.05610.00000.0561

4-50.01850.005890.02440.00910.0276

5-60.01480.020610.03540.02800.0428

6-70.01620.013840.03010.00770.0240

7-80.01230.000000.01230.00000.0123

8-90.02730.010780.03810.00000.0273

9-100.11680.001600.11840.00210.1189

10-110.02710.008480.03560.00000.0271

11-120.02510.000000.02510.00000.0251

TOTAL=0.4163=0.4033

CAUDAL Q4


1-20.03090.002790.03370.00410.0350

2-30.01590.000860.01670.00110.0170

3-40.06930.000000.06930.00000.0693

4-50.02290.007450.03030.01120.0341

5-60.01820.026080.04430.03460.0529

6-70.02010.017510.03760.00960.0296

7-80.01520.000000.01520.00000.0152

8-90.03370.013640.04730.00000.0337

9-100.11680.002020.11880.00260.1193

10-110.03350.010730.04420.00000.0335

11-120.03100.000000.03100.00000.0310

TOTAL=0.4886=0.4706

CAUDAL Q5


1-20.04070.003770.04440.00540.0460

2-30.02090.001160.02210.00150.0224

3-40.09120.000000.09120.00000.0912

4-50.03010.010050.04010.01470.0448

5-60.02400.035160.05920.04550.0695

6-70.02640.023610.05000.01260.0390

7-80.02000.000000.02000.00000.0200

8-90.04370.018390.06210.00000.0437

9-100.18580.002730.18850.00330.1891

10-110.04340.014470.05790.00000.0434

11-120.04080.000000.04080.00000.0408

TOTAL=0.6762=0.6499

CAUDAL Q6


1-20.04690.003770.05070.00620.0531

2-30.02410.001160.02530.00170.0258

3-40.10520.000000.10520.00000.1052

4-50.03470.010050.04470.01710.0518

5-60.02770.035160.06280.05290.0806

6-70.03040.023610.05400.01460.0451

7-80.02310.000000.02310.00000.0231

8-90.05010.021370.07140.00000.0501

9-100.18580.003170.18900.00380.1896

10-110.04970.016810.06650.00000.0497

11-120.04710.000000.04710.00000.0471

TOTAL=0.7398=0.7211

TABLA N26 Curva de Cadas de presin vs. Longitud equivalente acumuladaEstaciones piezomtricasLongitud equivalente acumuladaCada de presin P1 (cmH2O)Cada de presin P2 (cmH2O)Cada de presin P3 (cmH2O)Cada de presin P4 (cmH2O)Cada de presin P5 (cmH2O)Cada de presin P6 (cmH2O)

11.502129.5127.5125.8124.3122.3121.9

26.474115.828122.7120.228118.428114.728113.828

311.124120.178117.0113.878111.778108.078106.778

419.414106.18895.785.78879.38868.78862.588

529.604122.282.471.39864.39851.39846.298

637.054111.64897.685.74877.84863.04856.948

742.624104.37890.477.07868.57853.37845.978

846.134101.46887.573.66864.46848.06841.468

949.22498.87882.566.77860.97838.77830.978

1055.39489.30869.250.80838.30816.2087.008

1161.48979.41358.542.41328.2136.813-2.787

1266.15477.44856.037.04825.0482.748-7.252

TABLA N27 Caudal experimental vs prdidas por friccin totales experimentalQ(m3/s)Hf totales

0.000521280.119

0.0008490.313

0.001072220.486

0.001198540.591

0.001387280.841

0.001470970.89

TABLA N28 Caudal terico vs prdidas por friccin totales terico en mtodo K y Leq

Q(m3/s)Hf totales (mtodo K)Hf totales (mtodo Leq )

0.00057460.114891380.11290638

0.000933160.289525640.2845

0.001162740.416261140.40331034

0.001308050.488565960.47062876

0.001518850.676244640.64992101

0.001637050.739781640.72106388

Grfica N1 : Tabla N 23

Grfico N2 : Tabla N26

Grfico N3 : Tablas N 27 y 28

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