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diff --git a/3751/CH6/EX6.9/Ex6_9.sce b/3751/CH6/EX6.9/Ex6_9.sce new file mode 100644 index 000000000..874c56af3 --- /dev/null +++ b/3751/CH6/EX6.9/Ex6_9.sce @@ -0,0 +1,50 @@ +//Fluid System By Shiv Kumar
+//Chapter 6 - Kaplan and Propeller Turbines
+//Example 6.9
+//To Determine Runner Vane Angles at the hub and at the Outer Periphery
+
+clc
+clear
+
+//Given:
+ P=22500; //Power Available at Shaft, KW
+ H=20; //Head, m
+ N=150; //Rotational Speed, rpm
+ eta_H=95/100; //Hydraulic Efficiency
+ eta_0=88/100; //Overall Efficiency
+ D=4.5; //Outer Diameter of Runner, m
+ d=2; //Diameter of Hub, m
+ Vw=0; //As there is no exit whirl
+
+//Data Required:
+ rho=1000; //Density of Water, Kg/m^3
+ g=9.81; //Acceleration due to gravity, m/s^2
+
+//Computations
+ //Runner Vane Angles at Hub
+ uo=%pi*d*N/60; //m/s
+ ui=uo;
+ Q=P*10^3/(rho*g*H*eta_0); //Discharge, m^3/s
+ Vwi=eta_H*g*H/ui; //m/s
+ Vfi=Q/((%pi/4)*(D^2-d^2)) // m/s
+ Vfo=Vfi;
+ Beta_i=180-atand(Vfi/(ui-Vwi)); //Degrees
+ Beta_o=atand(Vfo/uo); //Degrees
+
+//Result1
+ printf("Runner Vane Angles at the Hub \n\t")
+ printf("Beta_i=%.2f Degrees\n\t",Beta_i) //The answer vary due to round off error
+ printf("Beta_o=%.2f Degrees\n\n",Beta_o) //The answer vary due to round off error
+
+ // Runner Vane Angles at outer periphery
+ uo=%pi*D*N/60; //m/s
+ ui=uo;
+ Vwi=eta_H*g*H/ui; //m/s
+ Beta_i=180-atand(Vfi/(ui-Vwi)); //Degrees
+ Beta_o=atand(Vfo/uo); //Degrees
+
+//Result2
+ printf("Runner Vane Angles at the Outer periphery \n\t")
+ printf("Beta_i=%.2f Degrees\n\t",Beta_i) //The answer vary due to round off error
+ printf("Beta_o=%.2f Degrees\n\n",Beta_o) //The answer vary due to round off error
+
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