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//Fluid Systems - By - Shiv Kumar
//Chapter 11- Centrifugal Pumps
//Example 11.8
//To Determine the Power Required to drive the centrifugal Pump.
clc
clear
//Given Data:-
Q=40; //Discharge, litres/s
Hst=20; //Static Head, m
D=150; //Diameter of Pipe, mm
L=100; //length of pipe, m
eta_o=70/100; //Overall Efficiency
f=0.015; //Coefficient of friction
//Data Used:-
rho=1000; //Density of water, kg/m^3
g=9.81; //Acceleration due to gravity, m/s^2
//Computations:-
Q=Q/1000; //m^3/s
D=D/1000; //m
A=(%pi/4)*D^2; //m^2
V=Q/A; //m/s
Vd=V;
h_f=4*f*L*V^2/(2*g*D); //Frictional Head Loss in Pipe, m
Hm=Hst+h_f+Vd^2/(2*g); //Manometric Head, m
P=rho*Q*g*Hm/(eta_o*1000); //kW
//Result:-
printf("Power Required to drive the Centrifugal Pump=%.3f kW\n",P) //The answer vary due to round off error
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