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authorprashantsinalkar2017-10-10 12:27:19 +0530
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+//Fluid Systems- By Shiv Kumar
+//Chapter 7- Performance of Water Turbine
+//Example 7.14
+//To Determine the Size (Scale Ratio) of the Model and To Find the Model Speed and Power.
+
+ clc
+ clear
+
+//Given:-
+ TP=240000; //Total Power Produced, kW
+ n=4; //No. of Turbines
+ eta_o=91/100; //Effeciency of each turbine
+ Np=120; //Speed of each Turbine, rpm
+ Hp=70; //Head for each Turbine, m
+
+ Qm=0.45; //Discharge for Model, m^3/s
+ Hm=5; //Head for testing the Model, m
+
+//Data Required:-
+ rho=1000; //Density of Water, Kg/m^3
+ g=9.81; //Acceleratrion due to gravity, m/s^2
+
+//Calculations:-
+ Pp=TP/n; //Power produced from each Turbine, kW
+ Qp=Pp*1000/(rho*g*Hp*eta_o); //Discharge passing through one Turbine, m^3/s
+ DmbyDp=(Qm/Qp)^(1/2)*(Hp/Hm)^(1/4); //From Relation of Flow Coefficient
+ Lr=DmbyDp; //Scale Ratio
+ Nm=(Np/DmbyDp)*(Hm/Hp)^(1/2); //rpm
+ Pm=Pp*(Nm/Np)^3*DmbyDp^5; //KW
+
+//Results
+ printf("The Scale Ratio is 1:%.2f\n ",1/Lr)
+ printf("Model Speed, Nm=%.2f rpm\n",Nm)
+ printf("Model Power, Pm=%.2f kW\n",Pm) //The Answer vary due to Round off Error
+
+