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authorprashantsinalkar2017-10-10 12:27:19 +0530
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+//Fluid Systems- By Shiv Kumar
+//Chapter 7- Performance of Water Turbine
+//Example 7.12
+// To Find (a)The Speed ,Discharge and Power required for the Actual Pump (b) The Discharge of the model.
+ clc
+ clear
+
+//Given:-
+ Lr=5; //Scale Ratio
+ DpbyDm=Lr;
+ DmbyDp=1/DpbyDm;
+ //For Model
+ Pm=22; //Power Required, kW
+ Hm=7; //Head, m
+ Nm=410; //Speed, rpm
+ eta_m=1; //Assumption that efficiency of the model is 100%
+ //For Prototype
+ Hp=35; //Head, m
+ //Data Required:-
+ rho=1000; //Density of Water, Kg/m^3
+ g=9.81; //Acceleration due to gravity, m/s^2
+
+//Computations:-
+ Np=Nm*DmbyDp*(Hp/Hm)^(1/2); //rpm
+ Pp=Pm*(Np/Nm)^3*DpbyDm^5; //KW
+ Qm=Pm*1000*eta_m/(rho*g*Hm); //m^3/s
+ Qp=Qm*(Np/Nm)^2*DpbyDm^2; //m^3/s
+
+//Results:-
+ printf("(a)For the Actual Pump(Prototype):\n Speed, Np=%.2f rpm , \n Discharge, Qp=%.3f m^3/s and \n Power,Pp=%.2fKW\n",Np,Qp,Pp) //The Answer vary due to Round off Error(For Qp), The Answer Provided in the Textbook is Wrong (For Np and Pp).
+
+ printf("(b)The Discharge of the Model, Qm=%.4f m^3/s",Qm) //The Answer vary due to Round off Error
+
+