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+//Exa 7.13

+clc;

+clear;

+close;

+format('v',6)

+//given data

+T1=800;// in K

+T3=200;// in K

+sigma=5.67*10^-8;

+d1=20*10^-2;// in m

+d2=30*10^-2;// in m

+d3=40*10^-2;// in m

+A1=4*%pi*(d1/2)^2;// in m^2

+A2=4*%pi*(d2/2)^2;// in m^2

+A3=4*%pi*(d3/2)^2;// in m^2

+epsilon1=0.2;

+epsilon2=epsilon1

+epsilon3=epsilon1

+Fg12=1/(1/epsilon1+(1/epsilon2-1)*A1/A2);

+Fg23=1/(1/epsilon2+(1/epsilon3-1)*A2/A3);

+// Under steady state condition 

+// q12 = q23

+// A1*Fg12*sigma*(T1^4-T2^4) = A2*Fg23*sigma*(T2^4-T3^4)

+T2 = ((A2*Fg23*T3^4/(A1*Fg12)+T1^4)/(A2*Fg23/(A1*Fg12) + 1))^(1/4)

+disp(T2,"Steady state temperature of the intermediate sphere in K");