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+//Fluid Systems - By - Shiv Kumar
+//Chapter 11- Centrifugal Pumps
+//Example 11.14
+//To Find (a)Vane Angle of Impeller at Inlet (b) Overall Efficiency of the Pump (c) Manometric Efficiency of the Pump.
+
+ clc
+ clear
+
+//Given Data:-
+ Do=400; //Diameter of the Impeller at Outlet, mm
+ Di=200; //Diameter of the Impeller at Inlet, mm
+ N=1000; //Speed, rpm
+ Q=39; //Discharge, litres/s
+ Vfo=2.2; //Velocity of Flow, m/s
+ Vfi=Vfo;
+ Ds=150; //Diameter of Suction Pipe, mm
+ Dd=100; //Diameter of Delivery Pipe, mm
+ h_s=6; //Suction Head, m of water (abs)
+ h_d=30; //Delivery Head, m of water (abs)
+ P=15.75; //Power required to drive the pump, kW
+ beta_o=45; //Vane Angle at outlet, degrees
+
+
+//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
+ Ds=Ds/1000; //m
+ Dd=Dd/1000; //m
+ Q=Q/1000; //m^3/s
+ P=P*1000; //W
+
+ //(a)Vane Angle of Impeller at Inlet, beta_i
+ ui=%pi*Di*N/60; //m/s
+ beta_i=atand(Vfi/ui); //degrees
+
+ // (b) Overall Efficiency of the Pump
+ As=(%pi/4)*Ds^2; //m^2
+ Ad=(%pi/4)*Dd^2; //m^2
+ Vd=Q/Ad; //m/s
+ Vs=Q/As; //m/s
+ Hm=(h_d+Vd^2/(2*g))-(h_s+Vs^2/(2*g)); //m
+ eta_o=rho*Q*g*Hm/P*100; //In percentage
+
+
+ // (c) Manometric Efficiency of the Pump, eta_man
+ uo=%pi*Do*N/60; // Tangential velocity of Impeller at Outlet, m/s
+ Vwo=uo-Vfo/tand(beta_o); //m/s
+ eta_man=g*Hm/(Vwo*uo)*100; //In Percentage
+
+
+//Results:-
+ printf(" (a)Vane Angle of Impeller at Inlet, beta_i=%.2f Degrees \n ",beta_i) //The answer vary due to round off error
+ printf(" (b) The Overall Efficiency of the Pump, eta_o =%.2f Percent \n ",eta_o) //The answer vary due to round off error
+ printf(" (c) Manometric Efficiency of the Pump, eta_man =%.2f Percent \n ",eta_man) //The answer vary due to round off error
+