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//Fluid Systems - By - Shiv Kumar
//Chapter 11- Centrifugal Pumps
//Example 11.7
//To Determine the Impeller Speed and Torque produced by it.
clc
clear
//Given Data:-
Q=60; //Discharge, litres/s
Ri=75; //Radius of the Impeller at Inlet, mm
Ro=150; //Radius of the Impeller at Outlet, cm
beta_o=30; //Vane Angle at Outlet, degrees
beta_i=30; //Vane Angle at Inlet, degrees
Ai=0.025; //Impeller Area at Inlet, m^2
//Data Used:-
rho=1000; //Density of water, kg/m^3
//Computations:-
Q=Q/1000; //m^3/s
Ri=Ri/1000; //m
Ro=Ro/1000; //m
Di=2*Ri; //m
Do=2*Ro; //m
Vfi=Q/Ai; //m/s
Vfo=Vfi;
ui=Vfi/tand(beta_i); //m/s
N=ui*60/(%pi*Di); //rpm
uo=%pi*Do*N/60; //m/s
Vrwo=Vfo/tand(beta_o); //m/s
Vwo=uo-Vrwo; //m/s
P=rho*Q*Vwo*uo; //Impeller Power, W
Ti=P*60/(2*%pi*N); //Impeller Torque, N-m
//Results:-
printf("Impeller Speed, N=%.2f rpm\n",N) //The answer vary due to round off error
printf("Impeller Torque, Ti=%.2f N-m\n",Ti) //The answer vary due to round off error
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