Consider steady two-dimensional heat transfer in a long solid body whose cross section is given in the figure. The measured temperatures at selected points of the outer surfaces are as shown. The thermal conductivity of the body is k= 45 W/m·K, and there is no heat generation. Using the finite difference method with a mesh size of Δx = Δy = 2.0cm, determine the temperatures at the indicated points in the medium. Hint: Take advantage of symmetry.
FIGURE P5-56
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