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diff --git a/3751/CH5/EX5.7/Ex5_7.sce b/3751/CH5/EX5.7/Ex5_7.sce new file mode 100644 index 000000000..bbe086b98 --- /dev/null +++ b/3751/CH5/EX5.7/Ex5_7.sce @@ -0,0 +1,59 @@ +//Fluid Systems- By Shiv Kumar +//Chapter 5- Francis Turbine +//Example 5.7 +//To Determine (a) The Diameter of Wheel (b) The Quantity of Water Supplied (c) The Guide Blade Angle at Inlet (d) The Runner Vane Angles at Inlet and Exit. + + clc + clear + +//Given Data:- + P=368; //Shaft Power, kW + H=71; //Head, m + N=748; //Speed, rpm + bo_by_Do=0.1; //Breadth Ratio + Kf=0.15; //Flow Ratio + eta_H=95/100; //Hydraulic Efficiency + eta_m=85/100; //Mechanical Efficiency + eta_v=100/100; //Volumetric Efficiency (Assumed to be 100%) + + //As Inner Diameter is Half the Outer Diameter, + Di_by_Do=1/2; //Di/Do + + +//Data Required:- + rho=1000; //Density of Water, Kg/m^3 + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + eta_o=eta_H*eta_m*eta_v; //Overall Efficiency + Q=P*1000/(rho*g*H*eta_o); //m^3/s + Vfi=Kf*sqrt(2*g*H); //m/s + Vfo=Vfi; + Do=sqrt(Q/(%pi*bo_by_Do*Vfi)); //m + Di=Do*Di_by_Do; //m + + // (a) The Diameter of Wheel, Do + //Calculated Above + + // (b) The Quantity of Water Supplied, Q + //Calculated Above + + // (c) The Guide Blade Angle at Inlet , alpha_i + + ui=%pi*Do*N/60; //m/s + uo= %pi*Di*N/60; //m/s + Vwi=eta_H*g*H/ui; //m/s + alpha_i=atand(Vfi/Vwi); //degrees + + // (d)Runner Vane Angles at Inlet and Outlet, beta_i, beta_o + beta_i=atand(Vfi/(Vwi-ui)); //Runner Vane Angle at Inlet, degrees + beta_o=atand(Vfo/uo); //Runner Vane Angle at Outlet, degrees + + + //Results:- + printf(" (a) The Diameter of Wheel, Do =%.3f m\n ",Do ) + printf(" (b) The Quantity of Water Supplied, Q=%.4f m^3/s\n",Q ) + printf(" (c) The Guide Blade Angle at Inlet , alpha_i=%.2f Degrees\n",alpha_i ) //The Answer Vary due to Round off Error + printf(" (d)Runner Vane Angles at Inlet and Outlet are:- \n beta_i=%.2f Degrees , beta_o =%.2f Degrees \n",beta_i,beta_o ) //The Answer Vary due to Round off Error + + |