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Please Answer: Consider a 2-D, rectangular solid region 0 x a,0 y b that has an

ID: 1861438 • Letter: P

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Please Answer:

Consider a 2-D, rectangular solid region 0 x a,0 y b that has an initial temperature profile F(x). For t > 0, the region is subjected to the following boundary conditions: the boundary surfaces x = 0 and x = a are maintained at a prescribed temperature T1, the boundary at y = 0 is perfectly insulated, and the boundary y = b is exposed to an incident heat flux q"(x). Formulate the heat conduction problem by drawing a schematic diagram. Calculate the temperature distribution T(x, y, t) by using the principle of superposition along with the separation of variables method. Show all your steps.

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