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 T8, which adjoins one surface and is...

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 T8, 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 kf and ks, respectively.

(a) Obtain an equation for the temperature distribution T(x) in the nuclear fuel. Express your results in terms of q, kf, L, b, ks, h, and T8. (b) Sketch the temperature distribution T(x) for the entire system.