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//Fluid Systems- By Shiv Kumar
//Chapter 7- Performance of Water Turbine
//Example 7.15
//To Determine the rpm of Prototype, Ratio of Power Developed by Model and Prototype and Efficiency of Prototytpe .
clc
clear
//Given:-
Lr=1/8; //Scale Ratio
//For Model,
Hm=5; //Head, m
Nm=350; //Speed,rpm
eta_m=78/100; //Effiency of model
//For Prototype,
Hp=100; //Head, m
//Calculations:-
DpbyDm=1/Lr; // Dp/Dm
//(a) Speed of Prototype, Np
Np=Nm*Lr*(Hp/Hm)^(1/2); //rpm
//(b)Ratio of Power Developed, Pp/Pm
PpbyPm=DpbyDm^5*(Np/Nm)^3;
//(c)Efficiency of Prototype when Scale Effect is Considered
//From Moody's Equation,
eta_p=(1-Lr^0.2*(1-eta_m))*100; //In Percentage
//Results
printf(" (a)The Speed of Prototype, Np=%.2f rpm\n",Np) //The Answer vary due to Round off Error
printf(" (b)Ratio of Power Developed, Pp/Pm =%.2f \n",PpbyPm) //The Answer vary due to Round off Error
printf(" (c)Efficiency of Prototype, eta_p =%.2f Percent\n",eta_p) //The Answer vary due to Round off Error
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