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+clear;

+clc;

+

+//Example2.10[Combined Convection, Radiation and Heat Flux]

+//Given:-

+T_surf1=20;//Ambient temperature in the interior of the house[degree Celcius]

+T_surf2=5;// Ambient temperature outside the house[degree Celcius]

+L=0.2;// Thickness of the wall[m]

+a=0.5;// absorptivity of outer surface of wall

+h_in=6;//Convection heat transfer coefficient for inner surface of wall[W/m^2.degree Celcius]

+h_out=25;//Convection heat transfer coefficient for outer surface of wall[W/m^2.degree Celcius]

+k=0.7;//The thermal conductivity of wall material[W/m.degree Celcius]

+e=0.9;//Emissivity of outer surface of wall

+//Solution:-

+//The heat transfer though the wall is given to be steady and one dimensional and thus temperature depends on x only i.e. T=T(x)

+disp("The boundary condition ont the inner surface of the wall at x=0 can be expressed as -k(dT(0)/dx)=h_in[T_surf1-T(0)]")

+disp("degree Celcius",T_surf1,"and","W/m^2.degree Celcius",h_in,"where h_in and T_surf are respectively ")

+disp("The boundary condition on the outer surface at x=L can be expressed as ")

+disp("-kdT(L)/dx=h_out[T(L)-T_surf2]+e*sigma[(T(L)^4)-(T_sky^4)]-a*q_solar")

+disp("where T_sky is temperature of the sky and q_solar is the incident solar heat flux")
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