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//Fluid System By Shiv Kumar
//Chapter 6 - Kaplan and Propeller Turbines
//Example 6.3
//To Find (a)Inlet and Outlet blade Angles (b)Mechanical Efficiency (c)Volumetric Efficiency
clc
clear
//Given:
D=6; //Outer Diameter of Runner, m
d=2; //Inner Diameter of Runner, m
P=30; //Shaft Power, MW
N=75; //Speed, rpm
H=12; //Head, m
Q=310 //Discharge through the Runner, m^3/s
eta_H=96/100; //Hydraulic Efficiency
//Data Required:
rho=1000; //Density of Water, Kg/m^3
g=9.81; //Acceleration due to gravity, m/s^2
//Computations
u=%pi*D*N/60; //Velocity of runner, m/s
ui=u;
uo=u;
Vf=Q/((%pi/4)*(D^2-d^2)) // m/s
Vfi=Vf;
Vfo=Vf;
Vwi=eta_H*g*H/ui; // m/s //The Answer Vary Because Value of ui used in book is Wrong
//(a)Inlet and Outlet blade Angles, Beta_i and Beta_o
Beta_i=180-atand(Vfi/(ui-Vwi)); //Degrees
Beta_o=atand(Vfo/uo); //Degrees
//(b)Mechanical Efficiency,eta_m
eta_M=P*10^6/(rho*Q*Vwi*ui)*100; //percentage(%) //The Answer Vary Because Value of Vwi used in book is Wrong
//(c)Volumetric Efficiency, eta_v
eta_o=P*10^6/(rho*Q*g*H)*100; //Overall Efficiency, percentage(%)
eta_v=eta_o/(eta_M*eta_H); //percentage(%) //The Answer Vary Because Value of eta_m used in book is Wrong
//Results
printf("(a)Inlet Blade Angle, Beta_i=%.2f degrees and \n",Beta_i) //The answer vary due to round off error
printf(" Outlet Blade Angle, Beta_o=%.2f degrees \n",Beta_o) //The answer vary due to round off error
printf("(b)Mechanical Efficiency, eta_m=%.2f percent\n",eta_M) //The answer provided in the textbook is wrong
printf("(c)Volumetric Efficiency, eta_v=%.2f percent\n ",eta_o) //The answer provided in the textbook is wrong
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