Homework_2_SPRING_2010_FINAL(2)

Homework_2_SPRING_2010_FINAL(2) - right end is “ ”...

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1 MAE 105: Introduction to Mathematical Physics Homework 2 Posted: April 8, 2010 , DUE: April 16, 2010 1. Determine the equilibrium temperature distribution for a one- dimensional rod of length “L”, assuming the following boundary conditions: In each case, sketch, very approximately, the temperature profile in the rod. (a) No internal heat sources. The temperature of the left end of the rod is “ T ” and the temperature at the
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Unformatted text preview: right end is “ ”- zero. (b) An internal heat source generates “ Q ” units of heat per unit volume and unit time. The temperature of the left end of the rod is “ T 1 ” and the temperature at the right end is “ T 2 ”. (c) No internal heat sources. The temperature of the left end of the rod is “ T 1 ” and the temperature gradient at the right end is equal to a constant, “ ε ”...
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