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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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parentb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff)
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+clc;
+N=10000; // Speed of gas turbine in rpm
+T01=700+273.15; // Total head temperature at nozzle entry in kelvin
+P01=4.5; //Total head pressure at nozzle entry in bar
+P02=2.6; // Outlet pressure from nozzle in bar
+p3=1.5;// Pressure at trbine outlet annulus in bar
+M=0.5; // Mach number at outlet
+alpha_2=70; // outlet nozzle angle in degrees
+D=64; // Blade mean diameter in cm
+m=22.5; // Mass flow rate in kg/s
+eff_T=0.99; // turbine mechanical efficiency
+Cp=1.147; // Specific heat in kJ/kg K
+r=1.33; // Specific heat ratio
+fl=0.03; // frictional loss
+R=284.6; // characteristic gas constant in J/kg K
+
+eff_N=1-fl; // Nozzle efficiency
+T_02=(P02/P01)^((r-1)/r)*T01; // Isentropic temperature after expansion
+T02=T01-eff_N*(T01-T_02); // Actual temperature after expansion
+c2=sqrt (2*Cp*10^3*(T01-T02)); // Absolute velocity
+u=(3.14*D*10^-2*N)/60; // Mean blade velocity
+// From velocity triangles
+wt2=c2*sind (alpha_2)-u;
+ca=c2*cosd (alpha_2);
+beta_2=atand((wt2)/ca);
+T3=T02/(P02/p3)^((r-1)/r); // Assuming rotor losses are negligible
+c3=M*sqrt (r*R*T3); // Absolute velocity
+beta_3=atand(u/c3);
+ct2=c2*sind(alpha_2);
+P=eff_T*m*(ct2)*u/1000; // Power developed
+
+disp ("degree",beta_3,"Gas angle at exit = ","degree",beta_2,"Gas angle at entry","(i).");
+disp ("kW (roundoff error)",P,"Power developed = ","(ii).");