A cylindrical nuclear fuel rod generates heat at a rate of 71 MW3. It is cooled by fluid at 417 K such that the temperature profile in the rod does not change over time. The heat transfer coefficient between the rod and the fluid is 67 kW/m2K. The rod is 7.5 cm in diameter and has a thermal conductivity of 25 W/mK. Starting from the general conduction equation in cylindrical coordinates, what is the maximum temperature in the rod? Give your answer in Kelvin to the nearest integer.

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Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.