A long conducting rod of rectangular cross section (20 mm × 30 mm) and thermal conductivity k = 20 W/m∙ K experiences uniform heat generation at a rate = 5 × 107 W/m3, while its surfaces are maintained at 300 K.
(a) Using a finite-difference method with a grid spacing of 5 mm, determine the temperature distribution in the rod.
(b) With the boundary conditions unchanged, what heat generation rate will cause the midpoint temperature to reach 600°K?
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