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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+//Exa 4.13
+clc;
+clear;
+close;
+//given data
+D=5*10^-2;// in m
+b=D/2;
+h= 500;// in W/m^2 degree C
+k=60;// in W/m^2K
+rho=7850;// in kg/m^3
+C=460;// in J/kg
+alpha=1.6*10^-5;// in m^2/s
+T_i=225;// in degree C
+T_infinite=25;// in degree C
+t=2;// in minute
+
+// Part(i)
+Bi= h*b/k;
+Fo= alpha*t/b^2;
+theta_0_t = 0.18;
+// Formula theta_0_t = (T_o-T_infinite)/(T_i-T_infinite)
+T_o= theta_0_t*(T_i-T_infinite)+T_infinite;// in degree C
+disp(T_o,"Centreline Temperature of the sphere after 2 minutes of exposure in degree C ") ;
+
+// Part(2)
+depth= 10*10^-3;// in meter
+r=b-depth;// in meter
+rBYb=r/b;
+theta_x_t = 0.95;
+// Formula theta_x_t = (T-T_infinite)/(T_o-T_infinite)
+T= theta_x_t*(T_o-T_infinite)+T_infinite;// in degree C
+disp(T,"The Temperature at the depth of 1 cm from the surface after 2 minutes in degree C ") ;
+
+// Part (3)
+BiSquareFo= Bi^2*Fo;
+QbyQo= 0.8;// in kJ
+A=4/3*%pi*b^3;
+Qo= rho*A*C*(T_i-T_infinite);// in J
+Qo=Qo*10^-3;// in kJ
+// The heat transffered during 2 minute,
+Q= Qo*QbyQo;// in kJ
+disp(Q,"The heat transffered during 2 minutes in kJ")
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