# Electric current flows through a long rod generating thermal energy at a uniform volumetric rate of q . = 2 × 10 6 W/m 3 . The rod is concentric with a hollow ceramic cylinder, creating an enclosure that is tilled with air. The thermal resistance per unit length due to radiation between the enclosure surfaces is R rad ‘ = 0.30 m ⋅ K/W, and the coefficient associated with free convection in the enclosure is h = 20 W/m 2 ⋅ K . Construct a thermal circuit that can be used to calculate the surface temperature of the rod, T r . Label all temperatures, heat rates, and thermal resistances, and evaluate each thermal resistance. Calculate the surface temperature of the rod for the prescribed conditions.

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