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Question: problem 1 sketching temperature and heat flux profiles consider heat...

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Problem 1 (Sketching Temperature and Heat Flux Profiles) Consider heat flow through a converging tube The left-hand side is held at a constant T, and the right-hand side is held at a constant T2. We assume that the left side is hotter (i.e. T1 T2), so heat flows from left to right since the lateral walls are perfectly insulated. We also assume that the cylinder has a circular cross section, whose radius decreases linearly from the left side to the right side r(x) = ri + Where r, is the radius of the cylinder at the left side, r is the radius of the tube at the right-hand side, and L is the length of the cylinder. The are:a therefore has the expression: A (x)-πr2(x). We also assume that the thermal conductivity, k, is constant through the cylinder and that there is no heat generation. Make sketches of a. The temperature distribution, T(x), in the cylinder b. The heat transfer rate distribution, qx(x), in the cylinder c. The heat flux distribution, qx(x), in the cylinder Also, answer the following question d. Does the temperature distribution depend on the thermal conductivity, k, or the cross-sectional area, A?

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