Consider steady two-dimensional heat transfer in a V-grooved solid body whose cross section is given in the

Question:

Consider steady two-dimensional heat transfer in a V-grooved solid body whose cross section is given in the figure. The top surfaces of the groove are maintained at 32°F while the bottom surface is maintained at 212°F. The side surfaces of the groove are insulated. Using the finite difference method with a mesh size of Δx = Dy = 1 ft and taking advantage of symmetry, determine the temperatures at the middle of the insulated surfaces.