A nuclear fuel element of thickness 2L is covered with a steel cladding of thickness b. Heat

Question:

A nuclear fuel element of thickness 2L is covered with a steel cladding of thickness b. Heat generated within the nuclear fuel at a rate q is removed by a fluid at T_∞, which adjoins one surface and is characterized by a convection coefficient h. The other surface is well insulated, and the fuel and steel have thermal conductivities of k_f and k_s, respectively.

Nuclear fuel Steel Steel 111 Insulation T, h b- Lax

(a) Obtain an equation for the temperature distribution T(x) in the nuclear fuel. Express your results in terms of q, k_f, L, b, k_s, h, and T_∞.

(b) Sketch the temperature distribution T(x) for the entire system.

Distribution
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