A cylindrical nuclear fuel rod of 15 mm in diameter is encased in a concentric hollow ceramic cylinder with inner diameter of 35 mm and outer diameter of 110 mm. This created an air gap between the fuel rod and the hollow ceramic cylinder with a convection heat transfer coefficient of 10 W/m² · K. The hollow ceramic cylinder has a thermal conductivity of 0.07 W/m · K and its outer surface maintains a constant temperature of 30 °C. If the fuel rod generates heat at a rate of 1 MW/m³, determine the temperature at the surface of the fuel rod.

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Fuel rod 1 MW/m³ Ceramic k = 0.07 W/m-K D₁ = 15 mm D₂ = 35 mm D3 = 110 mm T₁ Air gap, h = 10 W/m².K T3 = 30°C