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Diffstat (limited to '587/CH4/EX4.8/example4_8.sce')
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diff --git a/587/CH4/EX4.8/example4_8.sce b/587/CH4/EX4.8/example4_8.sce new file mode 100755 index 000000000..b8d935961 --- /dev/null +++ b/587/CH4/EX4.8/example4_8.sce @@ -0,0 +1,34 @@ +clear;
+clc;
+
+//Example4.8[Cooling of a Short Brass Cylinder]
+//Given:-
+Ti=120;//Initial Temperature[degree Celcius]
+T_ambient=25;//Temperature of atmospheric air[degree Celcius]
+h=60;//convetcion heat transfer coefficient[W/m^2.degree Celcius]
+r=0.05;//radius of cylinder[m]
+L=0.06;//thickness[m]
+a=3.39*(10^(-5));//Diffusivity of brass[m^2/s]
+k=110;//Thermal conductivity of brass[W/m.degree Celcius]
+t=900;//[seconds]
+//Solution (a):-
+disp("At the center of the plane wall")
+tau1=(a*t)/(L^2);
+Bi1=(h*L)/k;
+disp("respectively",Bi1,"and",tau1,"Fourier no and Biot no are")
+disp("At the center of the cylinder")
+tau2=(a*t)/(r^2);
+Bi2=(h*r)/k;
+disp("respectively",Bi2,"and",tau2,"Fourier no and Biot no are")
+theta_wall_c=0.8;//(T(0,t)-T_ambient)/(Ti-T_ambient)
+theta_cyl_c=0.5;//(T(0,t)-T_ambient)/(Ti-T_ambient)
+T_center=T_ambient+((theta_wall_c*theta_cyl_c)*(Ti-T_ambient));//[degree Celcius]
+disp("degree Celcius",round (T_center),"The temperature at the center of the short cylinder is")
+//Solution (b):-
+//The centre of the top surface of the cylinder is still at the center of the lonf cylinder(r=0),but at the outer surface of the plane wall(x=L).
+x=L;//[m]
+y=x/L;
+//For Bi=Bi1 and x=1
+theta_wall_L=0.98*theta_wall_c;//(T(L,t)-T_ambient)/(Ti-T_ambient)
+T_surface=T_ambient+((theta_wall_L*theta_cyl_c)*(Ti-T_ambient));//[degree Celcius]
+disp("degree Celcius",round (T_surface),"The temperature at the top surface of the cylinder")
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