Informe de Laboratorio

INFORME DE LABORATORIO DE HIDRAULICA

U. A. J. M. S. FACULTAD DE CIENCIAS Y TECNOLOGIA

U. A. J. M. S. FACULTAD DE CIENCIAS Y TECNOLOGIA

INFORME DE LABORATORIO DE HIDRAULICA

1. FOTOGRAFIAS

Formacin del salto hidrulico cerca de la compuerta

Determinacin de las velocidades en las diferentes secciones con el micromolinete

Canal de Rehbock

Salida de la Compuerta

Medicin del Caudal

PIEZOMETRO

Micro Molinete de alta precisin medelo 2100

Molinete Hidraulico2. RESULTADOS

N de Dientes 3-3

DatosDientes 3 3

Y1 (m)0.081

Y2 (m)0.03903

Y3 (m)0.07500

a (m)0.070

Q (m3/s)0.02428

Ys (m)0.07375

Velocidad media de toda la seccin

(m/s)Area de toda la seccin (m2)q

(m3/s/m)N de

Froude 3

0.53950.0450.040460.62896

Caudal total0.024278m3/s

Coeficiente de Coriolis (a) y Boussinesq (b)Velocidad media en

toda la seccin (m/s)rea de toda

la seccin (m2)Velocidades medias

en cada vertical (m/s)V2V3rea de cada

vertical (m2)

0.5395

0.045

0.558000.311360.173740.011251.000571.00172

0.5420.293760.159220.01125

0.5360.287300.153990.01125

0.5220.272480.142240.01125

Resalto Hidrulico

Y2(m)V2(m/s)Y3(m)V3(m/s)Yc

(m)

Emin

E1(m)E2

(E

Hs

(m)Ls (M)

(m)Ls(vena) (m)

0.03901.0370.0750.53950.055060.082590.089830.093810.003980.035970.179850,118

Clculo del nmero de Froude

MedicinY2(m)Y3(m)Q(m3/s)V2(m/s)V3(m/s)F3F2M2M3Yc

(m)

3-30.039030.0750.024281.091550.53950.628961.675460.003020.003020.07394

N de Dientes 4-3DatosDientes 4 - 3

Y1 (m)0.1080

Y2 (m)0.04154

Y3 (m)0.090

a (m)0.070

Q (m3/s)0.02947

Ys (m)0.08206



(m3/s/m)

N de Froude3

0.545750.054000.049120.5808


Coeficiente de Coriolis (a) y Boussinesq (b)

Velocidad media en




vertical (m2)

0.5460.0540.5490.301400.165470.016201.002201.00657

0.5790.335240.194100.01620

0.5480.300300.164570.01620

0.5070.257050.130320.01620

Resalto HidrulicoY2(m)V2(m/s)Y3(m)V3(m/s)Yc

(m)

Emin

E1

E2

(E

Hs

(m)Ls (M)

(m)Ls(vena) (m)

0.04151.1820.0900.60.06270.0940.1050.1130.0080.0480.24230,116

Clculo del nmero de FroudeMedicinY2(m)Y3(m)Q(m3/s)V2(m/s)V3(m/s)F3F2M2M3Yc

(m)

4-50.041540.9000.029471.1820.05460.58081.85190.004070.004070.0627

N de Dientes 4-4

DatosDientes 4 4

Y1 (m)0.1880

Y2 (m)0.03986

Y3 (m)0.095

a (m)0.070

Q (m3/s)0.03003

Ys (m)0.08429



(m3/s/m)

N de Froude

0.5270.05700.050050.5457



Velocidad

media en

toda la seccin

(m/s)rea de

toda

la seccin

(m2)Velocidades medias

en cada vertical

(m/s)V2V3rea de cada vertical (m2)

0.5270.05700.495330.245360.121530.014251.015261.04523

0.591330.349680.206770.01425

0.585330.342620.200540.01425

0.435330.189520.082500.01425

Resalto HidrulicoY2(m)V2(m/s)Y3(m)V3(m/s)Yc

(m)EminE1E2(EHs

(m)Ls (M)

(m)Ls(vena) (m

0.04151.1820.0900.600.06340.09510.10910.12020.0110.05510.275700.1145

Clculo del nmero de Froude


(m)

4-40.039860.0950.0300301.2560.526830.54572.00790.004320.004320.06344

N de Dientes 5-4

DatosDientes 5 - 4

Y1 (m)0.2560

Y2 (m)0.04596

Y3 (m)0.18

a (m)0.072

Q (m3/s)0.05746

Ys (m)0.129



(m3/s/m)

N de Froude3

0.5320.10800.095760.40035



Velocidad media en




vertical (m2)

0.532

0.10800

0.470670.221530.104270.0271.01330

1.03990

0.591330.349680.206770.027

0.595330.354420.211000.027

0.470670.221530.104270.027

Resalto Hidrulico


(m)Emin (m)E1(m)E2(m)(E

(m)Hs

(m)Ls

(m)Ls(vena) (m)

0.04602.0830.1800.53200.09780.1470.1940.2670.0730.1340.670180.1142

Calculo del Nmero de FroudeMedicinY2(m)Y3(m)Q(m3/s)V2(m/s)V3(m/s)F3F2M2M3Yc

(m)

4-50.045960.180.0574562.0830.05320.40043.10260.012840.012840.0978

N de Dientes 5-5DatosDientes 5 - 5

Y1 (m)

Y2 (m)0.04206

Y3 (m)0.2130

a (m)0,070

Q (m3/s)0.06350

Ys (m)0,15216



(m3/s/m)

N de Froude3

0.4970.12780.10580.3438



Velocidad media enrea de todaVelocidades mediasV2V3rea de cada

toda la seccin (m/s)la seccin (m2)en cada vertical (m/s)vertial (m2)

0.4970.12780.488670.23880.11670.031951.000621.00186

0.506670.25670.13010.03195

0.511330.26150.13370.03195

0.481330.23170.11150.03195

Resalto hidrulico



(m)Hs

(m)Ls

(m)Ls(vena) (m)

0.042062.5170.2130.497000.09780.1470.1940.2670.0730.1340.670180,11627


(m)

5 - 50.0420551570.2130.06352.517190.4970.34383.918980,016830,016830.105

N de Dientes 6-5

DatosDientes 6 - 5

Y1 (m)

Y2 (m)0.04360

Y3 (m)0.2150

a (m)0.070

Q (m3/s)0.065425

Ys (m)0.15123



(m3/s/m)

N de Froude3

0.507170.129000.109040.34922



Velocidad media en




vertical (m2)

0.507170.129000.496670.246680.122520.032251.0005

1.0015

0.518000.268320.138990.03225

0.518670.269020.139530.03225

0.495330.245360.121530.03225

Resalto Hidrulico



(m)Hs

(m)Ls

(m)Ls(vena) (m)

0.043602.5010.2150.507170.10660.1600.2280.3620.1340.17140.8570 dds

Calculo del Nmero de Froude


(m)

6-50.043600.215000.065422.501010.507170.349223.824220.017250.017250.10662

N de Dientes 6-6

DatosDientes 4 - 5

Y1 (m)

Y2 (m)0,0467

Y3 (m)0,2298

a (m)0,070

Q (m3/s)0,07243

Ys (m)0,1503


(m/s)Area de toda la seccin (m2)N de Froude

0,5253330.137880,34988

Caudal total0,07243m3/s


Velocidad media en




vertical (m2)ab

0.525330.137880.52200.2724840.14220.034471.00051.0013

0.537330.288720.15510.03447

0.533330.284440.15170.03447

0.508660.258740.131610.03447

Resalto HidrulicoY2(m)V2(m/s)Y3(m)V3(m/s)FR2

Yc

(m)

Emin

E1

E2

(E

Hs

(m)Ls (M)

(m)Ls(vena) (m)

0.046752.5820.2300.525333,81280.11410.1710.2440.3870.1430.1830.915238190,11627


(m)

6 - 60,04670,22980,072432,5820,5253330,349883,81280,019720,019720,1141

3. ANEXOS

Formulas utilizadas para los clculos de las tablas

Velocidad media

Velocidad media en los ltimos 3 tramos

Salto hidrulico

Numero de Froude

Tirante critico

Calculo del tirante conjugado mayor

Longitud de salto : formula aproximada

Altura de salto

Calculo de energa mnima

Calculo de coeficiente de Coriolis () y el coeficiente de Boussinesq ()

V: Velocidad en cada vertical

A: rea de vertical

A: rea total de la seccin

V1: Velocidad media de toda la seccin

DATOS OBTENIDOS EN LA PRACTICA

N de Dientes 3-3

Tirante del agua

(m)Ancho de cada vertical (m)rea de cada vertical (m2)

0.09300.150.01395

1 Altura

MedicinFranja 1 Franja 2Franja 3Franja 4

1.10.560.550.530.53

1.20.550.540.540.52

1.30.560.540.540.51

1.40.570.540.530.53

1.50.550.540.540.52

Velocidad media0.560.540.540.52

Alturas de piezmetros

Y(1er tubo)=0,255m

Y(2do tubo)=0,256m

Y(3er tubo)=0,257m

Y(4to tubo)=0,26m

Distancias horizontales desde la compuerta a cada orificiod1=0,56m

d2=1,56m

d3=3,56m

d4=4,56m

Calculo del Resalto Hidrulico

Calculo del tirante conjugado mayor Y2

Y2=0.03902916[m]

Calculo de la velocidad 2

V2 =1.037[m/s]

Numero de froude 2

g =9,81[m/s]

V2 =1.037[m/s]

Y2 =0.03902[m]

Fr2 =1.6755

Tirante Critico

Yc =0.0551[m]

Energa Mnima

Emin =0.083[m]

Energa Especifica

Y1=0.075[m]Y2=0.03902[m]

V1/2g =0.015[m]V2/2g =0.055[m]

E1 =0.090E2 =0.094

Perdida de Energia ((E)0.0040

Altura Del Salto

Hs =0.036[m]

Longitud Del Salto(Formula Aproximada)

Ls =0.179854193(m)

N de Dientes 4-3

Tirante del agua


0.09000.150.01350

1 Altura

MedicinFranja 1Franja 2Franja 3Franja 4

1.10.490.550.520.48

1.20.500.540.540.49

1.30.500.550.520.51

1.40.480.550.530.49

1.50.500.530.530.49


2 Altura


2.10.580.620.580.52

2.20.600.620.560.53

2.30.610.610.570.52

2.40.600.610.560.52

2.50.630.610.570.52


Velocidades en cada franja (m/s)Caudales en cada franja (m3/s)

0.549000.007412

0.579000.007817

0.548000.007398

0.507000.006845


Y(1er tubo)=0.098m

Y(2do tubo)=0.099m

Y(3er tubo)=0.100m

Y(4to tubo)=0.102m

Distancias horizontales desde la compuerta a cada orificiosd1=0,56m

d2=1,56m

d3=3,56m

d4=4,56m

Calculo del Resalto HidrulicoCalculo del tirante conjugado mayor y2

Y2=0.0415[m]


V2 =1.182[m/s]

Numero de froude 2

g =9.81[m/s]

V2 =1.182[m/s]

Y2 =0.0415[m]

Fr2 =1.8519

Tirante Critico

Yc =0.0627[m]

Energa Mnima

Emin =0.094[m]

Energa Especfica

Y1=0.090[m]Y2=0.0415[m]

V1/2g =0.015[m]V2/2g =0.071[m]

E1 =0.105E2 =0.113


Altura Del Salto

Hs =0.048[m]


Ls =0.24228(m)

N de Dientes 4-4

Tirante del agua


0.09500.150.01425

1 Altura


1.10.490.600.540.42

1.20.520.560.610.43

1.30.480.590.550.46

1.40.490.550.560.45

1.50.510.580.590.45


2 Altura


2.10.520.550.560.46

2.20.530.610.540.43

2.30.470.620.560.45

2.40.480.590.590.44

2.50.460.600.570.42


3 Altura


3.10.500.600.620.41

3.20.490.590.650.42

3.30.480.600.620.43

3.40.500.620.610.46

3.50.510.610.610.40



0.495330.007059

0.591330.008427

0.585330.008341

0.435330.006204


Y(1er tubo)=0.122m

Y(2do tubo)=0.123m

Y(3er tubo)=0.126m

Y(4to tubo)=0.127m


d2=1,56m

d3=3,56m

d4=4,56m



Y2=0.0399[m]


V2 =1.256[m/s]

Numero de froude 2

g =9.81[m/s]

V2 =1.256[m/s]

Y2 =0.0399[m]

Fr2 =2.00791

Tirante Critico

Yc =0.0634[m]

Energa Mnima

Emin =0.095[m]

Energa Especfica

Y1=0.095[m]Y2=0.0399[m]

V1/2g =0.014[m]V2/2g =0.080[m]

E1 =0.109E2 =0.120


Altura Del Salto

Hs =0.055[m]


Ls =0.2757(m)

N de Dientes 4-5

Tirante del agua

Y3(m)Ancho de cada vertical (m)rea de cada vertical (m2)

0.180.150.027

1 Altura


1.10.460.610.620.48

1.20.470.590.610.46

1.30.490.600.600.42

1.40.510.560.580.49

1.50.490.570.600.45


2 Altura


2.10.480.560.630.50

2.20.450.570.600.48

2.30.430.600.590.49

2.40.480.590.570.47

2.50.500.580.590.49


3 Altura


3.10.450.600.600.48

3.20.460.590.600.45

3.30.500.620.570.47

3.40.470.630.610.45

3.50.420.600.560.48



0.470670.012708

0.591330.015966

0.595330.016074

0.470670.012708


Y(1er tubo)=0.15m

Y(2do tubo)=0.17m

Y(3er tubo)=0.167m

Y(4to tubo)=0.168m


d2=1,56m

d3=3,56m

d4=4,56m


Calculo del tirante conjugado menor Y2

Y2=0.04596[m]


V2 =2.083[m/s]

Numero de froude 2

g =9,81[m/s]

V2 =0,2.083[m/s]

Y2 =0.04596[m]

Fr2 =3.10258

Tirante Critico

Yc =0.0978[m]

Energia Minima

Emin =0.147[m]

Energia Especifica

Y3=0.180[m]Y2=0.0460[m]

V3/2g =0.014[m]V2/2g =0.221[m]

E3 =0.194[m]E2 =0.267[m]

Perdida de Energia ((E)0.073 (m)

Altura Del Salto

Hs =0.134[m]


Ls =0.67018(m)

A Partir de aqu las mediciones se realizaron aguas abajo debido a que la turbulencia no permita la medicin de las velocidades.

N de Dientes 5-5

Tirante del agua


0.21300.150.03195

1 Altura a 0.2 Y


1.10.550.590.600.54

1.20.560.580.580.55

1.30.580.560.570.57

1.40.550.570.590.53

1.50.560.590.600.56


2 Altura 0.6 Y


2.10.400.430.410.41

2.20.410.410.420.39

2.30.390.390.40.37

2.40.380.420.430.36

2.50.370.410.440.38


3 Altura 0.8 Y


3.10.530.510.510.51

3.20.550.540.530.51

3.30.50.530.540.52

3.40.490.560.510.51

3.50.510.510.540.51



0.488670.015613

0.506670.016188

0.511330.016337

0.481330.015379


Y(1er tubo)=0.165m

Y(2do tubo)=0.216m

Y(3er tubo)=0.21m

Y(4to tubo)=0.211m


d2=1,56m

d3=3,56m

d4=4,56m



Y2=0.04206[m]


V2 =2.517[m/s]

Numero de froude 2

g =9.81[m/s]

V2 =2.517[m/s]

Y2 =0.0421[m]

Fr2 =3.9190

Tirante Critico

Yc =0.1045[m]

Energia Minima

Emin =0.157[m]

Energia Especifica

Y1=0.213[m]Y2=0.0421[m]

V1/2g =0.013[m]V2/2g =0.323[m]

E1 =0.226E2 =0.365


Altura Del Salto

Hs =0.171[m ]


Ls =0.8547(m )

N de Dientes 6-5

Tirante del agua


0.2150.150.03225

1 Altura 0.2 Y


1.10.530.560.550.52

1.20.500.550.540.51

1.30.550.560.560.52

1.40.510.550.560.51

1.50.520.560.550.54


2 Altura 0.6 Y


2.10.460.480.490.45

2.20.450.460.470.44

2.30.430.470.480.46

2.40.440.450.450.47

2.50.460.490.490.46


3 Altura 0.8 Y


3.10.530.530.510.52

3.20.520.520.530.5

3.30.520.530.540.52

3.40.530.550.520.5

3.50.50.510.540.51



0.496670.016018

0.518000.016706

0.518670.016727

0.495330.015975


Y(1er tubo)=0.163m

Y(2do tubo)=0.171m

Y(3er tubo)=0.182m

Y(4to tubo)=0.183m

Distancias horizontales desde la compuerta a cada orificiosd1=0,56m

d2=1,56m

d3=3,56m

d4=4,56m

Calculo del Resalto HidrulicoCalculo del tirante conjugado menor Y2

Y2=0.04360[m]


V2 =2.501[m/s]

Numero de froude 2

g =9.81[m/s]

V2 =2.501[m/s]

Y2 =0.0436[m]

Fr2 =3.82422

Tirante Critico

Yc =0.1066[m]

Energia Minima

Emin =0.160[m]

Energia Especifica

Y3=0.215[m]Y2=0.0436[m]

V3/2g =0.013[m]V2/2g =0.319[m]

E3 =0.228E2 =0.362


Altura Del Salto

Hs =0.171[m]


Ls =0.85701[m]

N de Dientes 6-6

Tirante del agua


0.22980.150.03447

1 Altura 0.2 Y

MedicinFranja 1 Franja 2Franja 3Franja 4

1.10.510.550.560.52

1.20.520.560.550.50

1.30.510.550.560.51

1.40.540.540.540.53

1.50.500.570.550.53


2 Altura 0.6 Y


2.10.540.560.530.51

2.20.550.540.560.54

2.30.520.570.540.51

2.40.530.550.550.50

2.50.550.530.540.52


3 Altura 0.80 Y


3.10.530.510.500.48

3.20.500.500.490.52

3.30.510.510.500.49

3.40.500.520.520.48

3.50.520.500.510.49



0.537330.01852

0.537330.01852

0.533330.01838

0.508670.01753


Y(1er tubo)=0,315m

Y(2do tubo)=0,359m

Y(3er tubo)=0,36m

Y(4to tubo)=0,361m


d2=1,56m

d3=3,56m

d4=4,56m

Calculo del Resalto HidrulicoCalculo del tirante conjugado menor Y2

Y2=0.0467[m]


V2 =2.582[m/s]

Numero de froude 2

g =9.81[m/s]

V2 =2.582[m/s]

Y2 =0.0468[m]

Fr2 =3.8128

Tirante Critico

Yc =0.171[m]

Energia Minima

Emin =0,172[m]

Energia Especfica

Y1=0.230[m]Y2=0.0468[m]

V1/2g =0.014[m]V2/2g =0.340[m]

E1 =0.244E2 =0.387


Altura Del Salto

Hs =0.183[m ]


Ls =0.9152(m)

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

GRUPO: 1

DOCENTE: Ing. Alberto Caldern

TARIJA, 25 DE NOVIEMBRE DEL 2005

HIDRULICA Y LABORATORIO II

CIV - 322

UNIVERSITARIOS:

- AMS MARTNEZ YASMANI SANTIAGO

- ARCE PERALES MARCELO ALFONSO

- ESPINOZA IBARRA JUAN DANIEL

- ESPINOZA MENDEZ BENJAMN

- PANIQUE LAZCANO DANIEL RENAN

- LEYTON GALVEZ HENRY JOSE

INFORME DE LABORATORIO

UNIVERSIDAD AUTONOMA JUAN MISAEL SARACHO

FACULTAD DE CIENCIAS Y TEGNOLOGIA

CARRERA DE INGENIERIA CIVIL

LABORATORIO DE HIDRULICA ING. ALBERTO CALDERNLABORATORIO DE HIDRULICA DOCENTE: ING. ALBERTO CALDERON

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Informe de Laboratorio

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