Reconsider Prob. 5–83E. Using EES (or other) software, investigate the effects of the temperatures at the top and bottom surfaces on the temperature in the middle of the insulated surface. Let the temperatures at the top and bottom surfaces vary from 32°F to 212°F. Plot the temperature in the middle of the insulated surface as functions of the temperatures at the top and bottom surfaces, and discuss the results.

Data from problem 83

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.

Transcribed Image Text:

Insulation 2 3 1 ft 1 ft 4 5 32°F 7 8 10 11 212°F Insulation