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//Fluid Systems - By - Shiv Kumar
//Chapter 11- Centrifugal Pumps
//Example 11.4
//To Find (a)Vane Angle at Inlet (b)Work done by Impeller on water per second (c)Manometric Efficiency
clc
clear
//Given Data:-
//As Outer Diameter equals two times Inner Diameter,
Do_by_Di=2; //Do/Di
N=980; //Speed, rpm
Hm=52; //Manometric Head, m
Vfo=2.6; //Velocity of Flow, m/s
Vfi=Vfo;
beta_o=42; //Vane Angle at outlet, degrees
Do=600; //Outer Diameter of the Impeller, mm
bo=60; //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
bo=bo/1000; //m
Di=Do/Do_by_Di; //Diameter at Inlet of Impeller, 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
//(a)Vane Angle at Inlet, beta_i
beta_i=atand(Vfi/ui); //degrees
//(b) 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
//(c) Manometric Efficiency, eta_man
eta_man=g*Hm/(Vwo*uo)*100; //In Percentage
//Results:-
printf(" (a)Vane Angle at Inlet, beta_i=%.2f Degrees \n ",beta_i)
printf(" (b) Work done by Impeller on water per sec =%.3f kN-m/s \n ",W) //The answer provided in the textbook is wrong.
printf(" (c) Manometric Efficiency, eta_man =%.2f Percent \n ",eta_man) //The answer provided in the textbook is wrong.
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