Consider a long solid bar whose thermal conductivity is k = 5 W/m K and whose

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Consider a long solid bar whose thermal conductivity is k = 5 W/m · K and whose cross section is given in the figure. The top surface of the bar is maintained at 50°C while the bottom surface is maintained at 120°C. The left surface is insulated and the remaining three surfaces are subjected to convection with ambient air at T 5 25°C with a heat transfer coefficient of h = 40 W/m· K. Using the finite difference method with a mesh size of Δx = Δy = 10 cm,

(a) Obtain the finite difference formulation of this problem for steady two-dimensional heat transfer

(b) Determine the unknown nodal temperatures by solving those equations.

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