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diff --git a/3751/CH5/EX5.11/Ex5_11.sce b/3751/CH5/EX5.11/Ex5_11.sce new file mode 100644 index 000000000..75a3035bb --- /dev/null +++ b/3751/CH5/EX5.11/Ex5_11.sce @@ -0,0 +1,46 @@ +//Fluid Systems- By Shiv Kumar +//Chapter 5- Francis Turbine +//Example 5.11 +//To Determine The Flow Rate, Guide Vane Angles, Runner Vane Angles and Inner and Outer Diameters of the Runner. + + clc + clear + +//Given Data:- + H=86.4; //Net Head, m + N=650; //Speed, rpm + P=397; //Shaft Power, kW + bo_by_Do=0.1; //Breadth Ratio + Di_by_Do=0.5; //Di/Do + Kf=0.17; //Flow Ratio + eta_H=95/100; //Hydraulic Efficiency + eta_o=85/100; //Overall Efficiency + //As Discharge is Radial and Flow Velocity is Constant, + alpha_o=90; //degrees //Vfi=Vfo=Vo + + +//Data Required:- + rho=1000; //Density of Water, Kg/m^3 + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + 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 + 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 + 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(" (i) The Flow Rate, Q=%.3f m^3/s\n",Q ) + printf(" (ii) Guide Vane Angles are: \n alpha_i=%.2f Degrees , alpha_o=%.f Degrees\n",alpha_i,alpha_o) //The Answer Vary due to Round off Error + printf(" (iii) Runner Vane Angles are:- \n beta_i=%.2f Degrees , beta_o =%.2f Degrees \n",beta_i,beta_o ) //The Answer Vary due to Round off Error + printf(" (iv) Inner and Outer Diameters of the Runner are: \n Di=%.2f m , Do=%.2f m \n",Di,Do ) + + |