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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+//Fluid Systems - By Shiv Kumar
+//Chapter 5- Francis Turbine
+//Example 5.6
+//To Find (a) Guide Blade Angles (b) Blade Angle at Inlet (c) Power Developed
+
+ clc
+ clear
+
+//Given Data:-
+ Q=300; //Discharge, litres/s
+ Di=0.36; //Diameter of Runner at Outlet, m
+ Dp=Di; //Diameter of Outlet Pipe, m
+ H=36; //Head, m
+ ui=21; // Velocity of Wheel at Inlet, m/s
+
+//Data Required:-
+ rho=1000; //Density of water, Kg/m^3
+ g=9.81; //Acceleration due to gravity, m/s^2
+
+//Computations:-
+ Vfo=(Q/1000)/((%pi/4)*Di^2); //m/s
+ Vo=Vfo;
+ Vfi=Vfo;
+ //By Energy Balance Equation,
+ Vwi=(g*H-Vo^2/2)/ui; //m/s
+
+ // (a) Guide Blade Angles, alpha_i, alpha_o
+ alpha_i=atand(Vfi/Vwi); //degrees
+ //As Discharge is Radial,
+ alpha_o=90; //degrees
+
+ // (b) Blade Angle at Inlet, beta_i
+ beta_i=180-atand(Vfi/(ui-Vwi)); //degrees
+
+ // (c) Power Developed by Runner
+ P=rho*(Q/1000)*Vwi*ui/1000; //kW
+
+//Results:-
+ printf(" (a) Guide Blade Angles are: \n alpha_i=%.2f Degrees, alpha_o=%.f Degrees\n",alpha_i, alpha_o )
+ printf(" (b) Blade Angle at Inlet, beta_i=%.2f Degrees\n",beta_i)
+ printf(" (c) Power Developed by Runner, P =%.2f kW\n",P) //The Answer Vary due to Round off Error
+
+