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//Fluid Systems- By Shiv Kumar
//Chapter 7- Performance of Water Turbine
//Example 7.8
// To Find Model Runner Speed and Prototype to Model Scale ratio
clc
clear
//Given:-
//For Prototype
Pp=30; //Power Developed, MW
Hp=55; //Head, m
Np=100; //Speed, rpm
Pp=Pp*1000; //KW
//For Model
Pm=25 ; //Power Developed, KW
Hm=6; //Head, m
//Computations:-
Nm=Np*(Hm/Hp)^(5/4)*(Pp/Pm)^(1/2); //rpm
DpbyDm=((Pp/Pm)*(Nm/Np)^3)^(1/5); //A Ratio(Dimensionless)
Lr= DpbyDm; //Scale Ratio
//Results
printf("The Model Runner Speed, Nm=%.2f rpm And\n",Nm)
printf("Prototype to Model Scale Ratio,Lr=%.2f",Lr) //The Answer vary due to Round off Error
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