A long bar of rectangular cross section, 0.4 m x 0.6 m on a side and having a thermal conductivity of 1.5 W/m ∙ K is subjected to the boundary conditions shown below. Two of the sides are maintained at a uniform temperature of 200°C. One of the sides is adiabatic, and the remaining side is subjected to a convection process with T∞ = 30°C and h = 50W/m2 ∙ K. Using an appropriate numerical technique with a grid spacing of 0.1m, determine the temperature distribution in the bar and the heat transfer rate between the bar and the fluid per unit length of the bar.

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Uniform temperature, T = 200°C Insulated - Uniform temperature, T = 200°C