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//Fluid Systems - By - Shiv Kumar
//Chapter 11- Centrifugal Pumps
//Example 11.9
//To Find (i)Vane Angle at Inlet (ii)Work done by Impeller on water per second and (iii)Manometric Efficiency.
clc
clear
//Given Data:-
Do=500; //Outer Diameter of the Impeller, mm
Di=250; //Inner Diameter of the Impeller, mm
N=1000; //Speed, rpm
Hm=40; //Manometric Head, m
Vfo=2.5; //Velocity of Flow, m/s
Vfi=Vfo;
beta_o=40; //Vane Angle at outlet, degrees
bo=50; //Width at Outlet, mm
//Data Used:-
rho=1000; //Density of water, kg/m^3
g=9.81; //Acceleration due to gravity, m/s^2
//Computations:-
Do=Do/1000; //m
Di=Di/1000; //m
bo=bo/1000; //m
ui=%pi*Di*N/60; //Tangential velocity of Impeller at Inlet,m/s
uo=%pi*Do*N/60; // Tangential velocity of Impeller at Outlet, m/s
Q=%pi*Do*bo*Vfo; //Discharge, m^3/s
//(i)Vane Angle at Inlet, beta_i
beta_i=atand(Vfi/ui); //degrees
//(ii) Work done by Impeller on water per sec, W
Vwo=uo-Vfo/tand(beta_o); //m/s
W=rho*Q*Vwo*uo/1000; //kN-m/s
//(iii) Manometric Efficiency, eta_man
eta_man=g*Hm/(Vwo*uo)*100; //In Percentage
//Results:-
printf(" (i)Vane Angle at Inlet, beta_i=%.2f Degrees \n ",beta_i) //The answer vary due to round off error
printf(" (ii) Work done by Impeller on water per sec =%.3f kN-m/s \n ",W) //The answer vary due to round off error
printf(" (iii) Manometric Efficiency, eta_man =%.2f Percent \n ",eta_man) //The answer vary due to round off error
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