A cylinder of radius ro, length L, and thermal conductivity k is immersed in a fluid of

Question:

A cylinder of radius ro, length L, and thermal conductivity k is immersed in a fluid of convection coefficient hand unknown temperature T∞. At a certain instant the temperature distribution in the cylinder is T(r) = a + br2, where a and b are constants. Obtain expressions for the heat transfer rate at ro and the fluid temperature.

Distribution
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