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authorprashantsinalkar2017-10-10 12:27:19 +0530
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+//Fluid System By Shiv Kumar
+//Chapter 6 - Kaplan and Propeller Turbines
+//Example 6.4
+//To Find (a)Discharge (b)Hydraulic Efficiency (c)Overall Efficiency (d)Specific Speed
+
+ clc
+ clear
+
+//Given:
+ N=30 //Speed, rpm
+ Alpha_i=31; //Inlet Guide Vane Angle, Degrees
+ Beta_i=90; //Inlet Runner Vane Angle, Degrees
+ Beta_o=24; //Outlet Runner Vane Angle, Degrees
+ Dm=4; //Mean Diameter of Runner, m
+ A=31; //Area of Flow, m^2
+ ML=5; //Percent of Mechanical Loss
+//Data Required:
+ rho=1000; //Density of Water, Kg/m^3
+ g=9.81; //Acceleration due to gravity, m/s^2
+
+//Computations
+
+ u=%pi*Dm*N/60; //Velocity of runner, m/s
+ ui=u;
+ uo=u;
+ Vwi=ui;
+ Vfi=ui*tand(Alpha_i); //m/s
+ Vf=Vfi;
+ Vfo=Vfi;
+ Vrwo=Vfo/tand(Beta_o); //m/s
+ Vwo=Vrwo-uo;
+ Vo=sqrt(Vfo^2+Vwo^2); //m/s
+//(a)Discharge, Q
+ Q=A*Vfi; //m^3/s
+//(b) Hydraulic Efficiency, eta_H
+ H= (Vwi+Vwo) *u/g+Vo^2/(2*g); // Head, m
+ eta_H=(Vwi*ui+Vwo*uo)*100/(g*H); //Percent(%)
+//(c)Overall Efficiency, eta_o
+ P=rho*Q*(Vwi+Vwo)*u*(1-ML/100); //Shaft Power, Watt(w)
+ eta_o=P/(rho*Q*g*H)*100; //Percent(%)
+//(d)Specific Speed,Ns
+ Ns=N*sqrt(P/1000)/(H^(5/4)); //SI Units
+
+//Results
+ printf("(a)Discharge, Q=%.2f m^3/s\n",Q) //The answer vary due to round off error
+ printf("(b) Hydraulic Efficiency, eta_H =%.2f Percent\n", eta_H) //The answer vary due to round off error
+ printf("(c) Overall Efficiency, eta_o =%.2f Percent\n", eta_o) //The answer vary due to round off error
+ printf("(d)Specific Speed, Ns =%.2f (SI Units)\n", Ns) //The answer vary due to round off error