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authorprashantsinalkar2017-10-10 12:27:19 +0530
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+//Fluid Systems - By Shiv Kumar
+//Chapter 5- Francis Turbine
+//Example 5.10
+//To Determine (i) The Guide Blade Angle (ii) The Wheel Vane Angle at Inlet (iii) Diameter of Wheel at inlet (iv)Width of Wheel at Inlet
+
+ clc
+ clear
+
+//Given Data:-
+ //Data Required
+ rho=1000; //Density of water, Kg/m^3
+ g=9.81; //Acceleration due to gravity, m/s^2
+
+ eta_o=75/100; //Overall Efficiency
+ P=148.25; //Power Produced, kW
+ H=7.62; // Working Head, m
+ ui=0.26*sqrt(2*g*H); //Peripheral Velocity at Inlet, m/s
+ Vfi=0.96*sqrt(2*g*H); //Velocity of Flow at Inlet, m/s
+ N=150; //Speed, rpm
+ H_loss=22; //Percentage of Hydraulic Losses in the Turbine (of Available Energy)
+ //As Discharge is Radial,
+ alpha_o=90; //Degrees //Vfo=Vo
+ Vwo=0;
+
+//Computations:-
+ Do=ui*60/(%pi*N); //m
+ Q=P*1000/(rho*g*H*eta_o); //m^3/s
+ bo=Q/(%pi*Do*Vfi); //m
+
+ //By Energy Balance Equation,
+ Vwi=(g*H-(H_loss/100)*g*H)/ui; //m/s
+
+ alpha_i=atand(Vfi/Vwi); //degrees
+ beta_i=atand(Vfi/(Vwi-ui)); //degrees
+
+
+//Results:-
+ printf(" (i)The Guide Blade Angle , alpha_i=%.2f Degrees\n",alpha_i)
+ printf(" (ii) The Wheel Vane Angle at Inlet, beta_i =%.2f Degrees\n", beta_i ) //The Answer Vary due to Round off Error
+ printf(" (iii) Diameter of Wheel at Inlet, Do =%.4f m\n",Do) //The Answer Vary due to Round off Error
+ printf(" (iv)Width of Wheel at Inlet , bo =%.4f m\n",bo) //The Answer Vary due to Round off Error
+
+
+