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//Fluid system - By - Shiv Kumar
//Chapter 2 - Impact of Jet
//Example 2.21
clc
clear
//Given Data:-
Vi=30; //velocity of Jet at Inlet of, m/s
u=15; //Velocity of Vane, m/s
ui=u;
uo=u;
alpha_i=32; //Angle of Jet at Inlet, degrees
alpha=125; //Angle made by Jet at Outlet with direction fo motion of Vanes, degrees
alpha_o=180-alpha; //degrees
//Data Used:-
g=9.81; //Acceleration due to gravity, m/s^2
rho=1000; //Density of water, kg/m^3
//Computations:-
Vwi=Vi*cosd(alpha_i); //m/s
Vfi=Vi*sind(alpha_i); //m/s
Vrwi=Vwi-ui; //m/s
beta_i=atand(Vfi/Vrwi); //degrees
Vri=Vfi/sind(beta_i); //m/s
Vro=Vri;
beta_o=alpha_o-asind(uo*sind(180-alpha_o)/Vro); //degrees
Vrwo=Vri*cosd(beta_o); //m/s
Vwo=Vrwo-uo; //m/s
//(a)
W=(Vwi+Vwo)*u/g; //N-m/N (Answer in textbook is wrong due to wrong value of Vwi used)
//(b)Work done by Jet per second, W
eta=2*(Vwi+Vwo)*u/(Vi^2)*100; //In percentage
//Results:-
printf("(a)Work done per unit weight of water=%.2f N-m/N \n", W) //The answer provided in the textbook is wrong
printf("(b)Efficiency of the vane, eta=%.2f percent", eta) //The answer provided in the textbook is wrong
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