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A cylindrical fuel rod of 2 cm in diameter is encased in a concentric tube and cooled by water. The fuel generates heat uniformly at a rate of 150 MW/m3. The convection heat transfer coefficient on the fuel rod is 5000 W/m2 .K, and the average temperature of the cooling water, sufficiently far from the fuel rod, is 70 o C. Determine the surface temperature of the fuel rod and discuss whether the value of the given convection heart transfer coefficient on the fuel rod is reasonable?

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Calculate the rate of heat loss through convection process using the following equation:

Here, h is the convection heat transfer coefficient, A is the surface area of the fuel rod, is the surface temperature of the rod and is the surrounding temperature of the cooling water.
Calculate the surface area of the fuel rod using the equation,

Here, D is the diameter of the fuel rod and L is the length of the rod considered.
Assume length of the rod be L m.
Substitute 2 cm for D.

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