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diff --git a/3751/CH5/EX5.4/Ex5_4.sce b/3751/CH5/EX5.4/Ex5_4.sce new file mode 100644 index 000000000..900756ebc --- /dev/null +++ b/3751/CH5/EX5.4/Ex5_4.sce @@ -0,0 +1,56 @@ +//Fluid Systems- By Shiv Kumar +//Chapter 5- Francis Turbine +//Example 5.4 +//To Find (a)Diameter and Width at Inlet ant Outlet (b)Runner Vane Angles at Inlet and Outlet (c)Guide Blade Angles + + clc + clear + +//Given Data:- + H=70; //Net Head, m + N=700; //Speed, rpm + P=330; //Shaft Power, kW + eta_o=85/100; //Overall Efficiency + eta_H=92/100; //Hydraulic Efficiency + Kf=0.22; //Flow Ratio + bo_by_Do=0.1; //Breadth Ratio + t_per=6; //Percentage of Circumferential Area occupied by the Thickness of Vanes + Kt=1-t_per/100; //Vane Thickness Factor + //As Outer Diameter= 2 times the Inner Diameter, + Do_by_Di=2; //Do/Di + + +//Data Required:- + rho=1000; //Density of Water, Kg/m^3 + g=9.81; //Acceleration due to gravity, m/s^2 + +//Computations:- + Vfi=Kf*sqrt(2*g*H); //m/s + Vfo=Vfi; + Q=P*1000/(rho*g*H*eta_o); //m^3/s + + //(a)Diameter and Width at Inlet ant Outlet, Do,bo, Di and bi. + Do=sqrt(Q/(Kt*%pi*bo_by_Do*Vfi)); //m + Di=Do/Do_by_Di; //m + bo=Do*bo_by_Do*1000; //mm + bi=Do*bo/Di; //mm + + ui=%pi*Do*N/60; //m/s + uo=%pi*Di*N/60; //m/s + Vwi=eta_H*g*H/ui; //m/s + + // (b)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 + + //(c)Guide Vane Angle, alpha_i + alpha_i=atand(Vfi/Vwi); //degrees + //As flow is radial at outlet, + alpha_o=90; //degrees + +//Results:- + printf(" (a)Diameter and Width at Inlet and Outlet are: \n\t") + printf("Do=%.3f m bo=%.1f mm\n Di=%.3f m bi=%.1f mm\n",Do,bo,Di,bi) //The Answer Vary due to Round off Error + printf(" (b)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 + printf(" (c)Guide Vane Angles, \n alpha_i=%.2f Degrees , alpha_o=%.f Degrees\n ",alpha_i,alpha_o) //The Answer Vary due to Round off Error + |