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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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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