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//Fluid Systems- By Shiv Kumar
//Chapter 5- Francis Turbine
//Example 5.2
//To Find (a)Discharge (b) Power Developed and (c)Hydraulic Efficiency
clc
clear
//Given Data:-
Do=1.2; //Diameter of Runner at Inlet, m
Ao=0.4; //Area of Flow at Inlet, m^2
N=500; //Speed of Runner, rpm
H=135; //Head, m
alpha_i=20; //Guide Vane Angle at Inlet, degrees
beta_i=65; //Vane angle at Inlet, degrees
//Data Required:-
rho=1000; //Density of Water, Kg/m^3
g=9.81; //Acceleration due to gravity, m/s^2
//Computations:-
ui=%pi*Do*N/60; //m/s
Vri=ui*sind(alpha_i)/sind(beta_i-alpha_i); //m/s
Vfi=Vri*sind(beta_i); //m/s
Vwi=Vfi/tand(alpha_i); //m/s
//(a)Discharge, Q
Q=Ao*Vfi; //m^3/s
//(b)Power develpoed by Runner
P=rho*Q*Vwi*ui/1000; //kW
//(c)Hydraulic Efficiency, eta_H
eta_H=Vwi*ui*100/(g*H); //Percentage
//Results:-
printf(" (a)Discharge, Q=%.3f m^3/s\n ",Q) //The Answer Vary due to Round off Error
printf(" (b)Power develpoed by Runner=%.3f kW\n ",P) //The Answer provided in the Textbook is Wrong
printf(" (c)Hydraulic Efficiency, eta_H =%.2f Percent\n ",eta_H) //The Answer Vary due to Round off Error
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