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diff --git a/3751/CH6/EX6.3/Ex6_3.sce b/3751/CH6/EX6.3/Ex6_3.sce new file mode 100644 index 000000000..1efab0a00 --- /dev/null +++ b/3751/CH6/EX6.3/Ex6_3.sce @@ -0,0 +1,52 @@ +//Fluid System By Shiv Kumar
+//Chapter 6 - Kaplan and Propeller Turbines
+//Example 6.3
+//To Find (a)Inlet and Outlet blade Angles (b)Mechanical Efficiency (c)Volumetric Efficiency
+
+ clc
+ clear
+
+//Given:
+ D=6; //Outer Diameter of Runner, m
+ d=2; //Inner Diameter of Runner, m
+ P=30; //Shaft Power, MW
+ N=75; //Speed, rpm
+ H=12; //Head, m
+ Q=310 //Discharge through the Runner, m^3/s
+ eta_H=96/100; //Hydraulic Efficiency
+
+//Data Required:
+ rho=1000; //Density of Water, Kg/m^3
+ g=9.81; //Acceleration due to gravity, m/s^2
+
+//Computations
+
+ u=%pi*D*N/60; //Velocity of runner, m/s
+ ui=u;
+ uo=u;
+ Vf=Q/((%pi/4)*(D^2-d^2)) // m/s
+ Vfi=Vf;
+ Vfo=Vf;
+ Vwi=eta_H*g*H/ui; // m/s //The Answer Vary Because Value of ui used in book is Wrong
+
+//(a)Inlet and Outlet blade Angles, Beta_i and Beta_o
+
+ Beta_i=180-atand(Vfi/(ui-Vwi)); //Degrees
+ Beta_o=atand(Vfo/uo); //Degrees
+
+//(b)Mechanical Efficiency,eta_m
+
+ eta_M=P*10^6/(rho*Q*Vwi*ui)*100; //percentage(%) //The Answer Vary Because Value of Vwi used in book is Wrong
+
+//(c)Volumetric Efficiency, eta_v
+
+ eta_o=P*10^6/(rho*Q*g*H)*100; //Overall Efficiency, percentage(%)
+ eta_v=eta_o/(eta_M*eta_H); //percentage(%) //The Answer Vary Because Value of eta_m used in book is Wrong
+
+//Results
+
+ printf("(a)Inlet Blade Angle, Beta_i=%.2f degrees and \n",Beta_i) //The answer vary due to round off error
+ printf(" Outlet Blade Angle, Beta_o=%.2f degrees \n",Beta_o) //The answer vary due to round off error
+ printf("(b)Mechanical Efficiency, eta_m=%.2f percent\n",eta_M) //The answer provided in the textbook is wrong
+ printf("(c)Volumetric Efficiency, eta_v=%.2f percent\n ",eta_o) //The answer provided in the textbook is wrong
+
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