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Diffstat (limited to '1913/CH2/EX2.31')
-rwxr-xr-x | 1913/CH2/EX2.31/ex31.sce | 28 |
1 files changed, 28 insertions, 0 deletions
diff --git a/1913/CH2/EX2.31/ex31.sce b/1913/CH2/EX2.31/ex31.sce new file mode 100755 index 000000000..624cb8838 --- /dev/null +++ b/1913/CH2/EX2.31/ex31.sce @@ -0,0 +1,28 @@ +clc
+clear
+//Input data
+p1=400;//Initial pressure of the gas in a turbine in kPa
+t1=573;//Initial temperature of the gas in a turbine in K
+p2=100;//Final pressure of the gas in a turbine in kPa
+V=2.5;//It is the ratio of final volume to the inlet volume
+c2=50;//Velocity of the gas at exit in m/s
+P=1000;//Power developed by the turbine in kW
+cp=5.193;//Specific heat of the helium at constant pressure in kJ/kg K
+G=8.314;//Gas constant in kNm/kgK
+M=4;//Molecular weight of the helium
+
+//Calculations
+R=G/M;//Characteristic gas constant in kNm/kgK
+v1=(R*t1)/p1;//Specific volume at the inlet in m^3/kg
+v2=V*v1;//Specific volume at the outlet in m^3/kg
+n=log(p2/p1)/log(v1/v2);//Polytropic index
+t2=[(t1)*((p2/p1)^((n-1)/n))];//Final temperature of the gas in a turbine in K
+w=(n/(n-1))*(R*(t1))*[1-((p2*v2)/(p1*v1))];//Specific work in kJ/kg
+K=c2^2/(2*1000);//Change in kinetic energy in kJ/kg
+Ws=w-K;//Work done by the shaft in kJ/kg
+q=Ws+(cp*(t2-t1))+K;//The heat transfer during the process in kJ/kg
+m=P/Ws;//Mass flow rate of gas required in kg/s
+A2=(m*v2)/c2;//Exit area of the turbine in m^2
+
+//Output
+printf('(a)The mass flow rate of the gas required m = %3.4f kg/s \n (b)The heat transfer during the process q = %3.2f kJ/kg \n (c)Exit area of the turbine A2 = %3.4f m^2 ',m,q,A2)
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