A 15 mm diameter cylindrical nuclear fuel rod is housed in a hollow ceramic cylinder concentric to the rod with an inner diameter of 35 mm and an outer diameter of 110 mm. This creates an air gap between the fuel rod and the hollow ceramic cylinder with a convective 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. Solving, the temperature at the surface of the fuel rod is 1026°C. Give the solution from fundamental concepts of how the heat flow behaves in the system.

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