A long conducting rod of rectangular cross section (20 mm

Chapter , Problem 4.53

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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 q . 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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