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//Fluid Systems - By - Shiv Kumar
//Chapter 11- Centrifugal Pumps
//Example 11.15
//To Determine Minimum Starting Speed of the Pump.
clc
clear
//Given Data:-
Di=300; //Diameter of Impeller at Inlet, mm
Do=600; //Diameter of the Impeller at Outlet, mm
Vfo=2.6; //Velocity of Flow at Outlet, m/s
beta_o=42; //Vane Angle at outlet, degrees
eta_man=65/100; //Manomwtric Efficiency, m^2
//Computations:-
Di=Di/1000; //m
Do=Do/1000; //m
uo_by_N=%pi*Do/60; // uo/N
//Minimum Starting Speed of The Centrifugal Pump, Nmin
Nmin=(120*Do*eta_man*Vfo/(tand(beta_o)*%pi*(Do^2-Di^2)))/(120*eta_man*Do*uo_by_N/(%pi*(Do^2-Di^2))-1); //rpm
//Results:-
printf("The Minimum Starting Speed of the Centrifugal Pump, Nmin =%.2f rpm \n",Nmin ) //The answer vary due to round off error
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