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//Fluid system - By - Shiv Kumar
//Chapter 4 - Pelton Turbine (Impulse Turbine)
//Example 4.2
clc
clear
//Given Data:-
u=12; //Speed of bucket, m/s
ui=u;
uo=u;
Q=650; //Discharge, liters/s
H=40; //Head of water, m
AoD=162; //Angle of Deflection, degrees
Cv=0.98; //Co-efficient of Velocity
//Data Used:-
rho=1000; //Density of water, kg/m^3
g=9.81; //Acceleration due to gravity, m/s^2
//Computations:-
Q=Q/1000; //m^3/s
beta_O=180-AoD; //Blade angle a outlet, degrees
Vi=Cv*sqrt(2*g*H); //Velocity of Jet, m/s
Vwi=Vi;
Vri=Vi-ui; //m/s
Vro=Vri;
Vrwo=Vro*cosd(beta_O); //m/s
Vwo=Vrwo-uo; //m/s
//(a)Power given by water to runner, P
P=rho*Q*(Vwi+Vwo)*u/1000; //kW
//(b)The hydraulic efficiency, eta_H
eta_H=2*(Vwi+Vwo)*u/Vi^2*100; //In percentage
//Results:-
printf("(a)The Power given by water to the runner=%.3f kW \n", P) //The answer vary due to round off error
printf("(b)The Hydraulic Efficiency of Turbine, eta_H=%.2f percent \n", eta_H) //The answer vary due to round off error
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