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//Fluid Systems - By - Shiv Kumar
//Chapter 11- Centrifugal Pumps
//Example 11.19
//To Find (a)Head generated and (b)Power consumed
clc
clear
//Given Data:-
n=2; //Number of Stages
Q=100; //Discharge, litres/s
N=1000; //Speed, rpm
Do=500; //Diameter of the Impeller at Outlet, mm
bo=25; //Width of Impeller at outlet, mm
beta_o=30; //degrees
Area_per=10; //Percentage of Total Area which is covered due to blade thickness
eta_o=78/100; //Overall Efficiency
eta_man=85/100; //Manometric Efficiency
//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
Do=Do/1000; //m
bo=bo/1000; //m
A=%pi*Do*bo*(1-Area_per/100); //Actual Area of Flow, m^2
uo=%pi*Do*N/60; //Tangential Velocity of Impeller at Outlet, m/s
Vfo=Q/A; //Velocity of Flow, m/s
Vfi= Vfo;
Vwo=uo-Vfo/tand(beta_o); //m/s
//(a)Head generated, H_Tm
Hm=eta_man*Vwo*uo/g; //m
H_Tm=n*Hm; //m
//(b) Power consumed, P
P=rho*Q*g*H_Tm/(eta_o*1000); //kW
//Results:-
printf("(a)Head Generated, H_Tm=%.2f m \n",H_Tm) //The answer vary due to round off error
printf(" (b)Power consumed, P =%.2f kW \n",P) //The answer vary due to round off error
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