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Question: problem 2 heat sandwich consider a thin electric heater sandwiched...

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Problem 2 (Heat Sandwich) Consider a thin electric heater sandwiched between two plates of equal thickness, L: Electric heater, g Fluid T, h Fluid -L 0 +L The heater is generating a constant amount of heat flux, qo. Both of the outer surfaces of the plates are cooled by the same fluid with the same temperature, Too, with the same convective heat transfer coefficient, h. The plates also have identical material properties. We are interested in the steady state solution to this problem, so we will only concern ourselves with the thermal conductivity of the material, k We wish to solve for the steady-state temperature distribution in the plates Because of the symmetry in the problem, we can solve just one side and assume the temperature distribution looks the same on the other side. The symmetry in the problem dictates that we get an equal amount of heat flux to the left and right sides of the heater, qoleftoright - Qo/2 We may also assume that the heater has negligible thickness compared to the thickness of the plates Assuming you are solving for the solution on one side, answer the following questions pertaining to the heat equation a. What assumptions can you make regarding this problem? b. What boundary conditions can you impose at the base of the plate (x-0) and at the exposed surface of the plate (x-L)? c. Solve for the steady-state temperature distribution, T(x), in the plate

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