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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+// scilab Code Exa 2.6 calculation on a gas turbine
+
+funcprot(0);
+p1=5; // Inlet Pressure in bar
+p2=1.2; // Exit Pressure in bar
+T1=500; // Initial Temperature in K
+gamma=1.4;
+m=20; // mass flow rate of the gas in kg/s
+cp=1.005; // Specific Heat at Constant Pressure in kJ/(kgK)
+n_T=0.9; // Overall Efficiency
+pr=p1/p2; // Pressure Ratio
+// part(a)
+T2s=T1/(pr^((gamma-1)/gamma));
+T2=T1-(n_T*(T1-T2s));
+n_p=(log(T1/T2))/(log(T1/T2s));
+disp("%",n_p*100,"(a)small stage Efficiency or polytropic efficiency of the expansion is")
+P=m*cp*(T1-T2);
+disp("kW",P,"and Power developed is")
+
+// part(b)
+AR=2.5; // Area Ratio of Diffuser
+R=0.287; // Universal Gas Constant in kJ/kgK
+p3=1.2; // Exit Pressure for diffuser in bar
+c2=75; // Velocity of gas at turbine exit in m/s
+c3=c2/AR;
+n_d=0.7; // Efficiency of the diffuser
+ro2=p2/(R*T2);
+delp=n_d*(0.5*0.001*ro2*((c2^2)-(c3^2))); // delp=p3-p2d
+disp("mm W.G.",delp*100000/9.81,"(b)static pressure across the diffuser is")
+p2d=p3-delp;
+prd=p1/p2d;
+T2sd=T1/(prd^((gamma-1)/gamma));
+T2d=T1-(n_T*(T1-T2sd));
+Pd=m*cp*(T1-T2d);
+disp("kW",Pd-P,"and Increase in the power output of the turbine is")
+
+disp("Comment: Error in Textbook, Answers vary due to Round-off Errors")