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An insulating wall is made up of a sequence of insulation layers of different thicknesses and thermal conductivities. If the temperature of the interface between
An insulating wall is made up of a sequence of insulation layers of different thicknesses and thermal conductivities. If the temperature of the interface between each layer is denoted by T_j,j=0,1,4) located at position z_j. The heat flux q through each layer is approximated by: q=k_j (T_j-T_(j-1))/(z_j-z_(j-1) ) Given T_0=0, T_4=100,k_1,2,3,4=[3,1.5,5,2]W/(mK) and z_0,1,2,3,4=[0,0.1,0.2,0.4,0.45]m. Set up a system of linear equations needed and use Gauss Elimination method to solve for T_1,T_2,T_3, and
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