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//Fluid system - By - Shiv Kumar
//Chapter 4 - Pelton Turbine (Impulse Turbine)
//Example 4.4
clc
clear
//Given Data:-
Cv=0.97;
Ku=0.46;
K=0.98;
m=10.2;
beta_o=10; //Bucket angle at exit, degrees
eta_m=90.5/100; //Mechanical Efficiency
//Data Used:-
rho=1000; //Density of water, kg/m^3
g=9.81; //Acceleration due to gravity, m/s^2
//Computations:-
Vi_by_rootH=Cv*sqrt(2*g); //Vi/sqrt(H)
Vwi_by_rootH=Vi_by_rootH;
ui_by_rootH=Ku*sqrt(2*g); //ui/sqrt(H)
Vri_by_rootH=Vi_by_rootH-ui_by_rootH; //Vi/sqrt(H)
Vro_by_rootH=K*Vri_by_rootH; //Vro/sqrt(H)
Vrwo_by_rootH=Vro_by_rootH*cosd(beta_o); //Vrwo/sqrt(H)
Vwo_by_rootH=Vrwo_by_rootH-ui_by_rootH; //Vwo/sqrt(H)
Q_by_d2_rootH=(%pi/4)*Vi_by_rootH; //Q/(d^2*sqrt(H))
//Pr=Power developed by runner
Pr_by_d2_H3_2=rho*Q_by_d2_rootH*(Vwi_by_rootH+Vwo_by_rootH)*ui_by_rootH; //Pr/(d^2*H^(3/2)), P in W
//P=Shaft Power
P_by_d2_H3_2=eta_m*Pr_by_d2_H3_2/1000; //P/(d^2*H^(3/2)), P in kW
N_d_by_rootH=ui_by_rootH*60/(%pi*m); //N*d/sqrt(h), N in rpm
Ns=N_d_by_rootH*sqrt(P_by_d2_H3_2); //Specific Speed in SI Units
//Results:-
printf("The Specific Speed of the Turbine, Ns=%.f (SI Units)", Ns)
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