Consider a plane composite wall that is composed of three

Chapter , Problem 3.85

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Consider a plane composite wall that is composed of three materials (materials A, B, and C are arranged left to right) of thermal conductivities kA 0.24 W/m K, kB 0.13 W/m K, and kC 0.50 W/m K. The thicknesses of the three sections of the wall are LA 20 mm, LB 13 mm, and LC 20 mm. A contact resistance of Rt,c 102 m2 K/W exists at the interface between materials A and B, as well as at the interface between materials B and C. The left face of the composite wall is insulated, while the right face is exposed to convective conditions characterized by h 10 W/m2 K, T 20 C. For Case 1, thermal energy is generated within material A at the rate q . A 5000 W/m3 . For Case 2, thermal energy is generated within material C at the rate q . C 5000 W/m3 . (a) Determine the maximum temperature within the composite wall under steady-state conditions for Case 1. (b) Sketch the steady-state temperature distribution on T x coordinates for Case 1. (c) Sketch the steady-state temperature distribution for Case 2 on the same T x coordinates used for Case 1.