Please read the example problem $10\mathrm{.}7$ in the BSL book: HEAT CONDUCTION IN A COOLING FILM $($READING ASSIGNMENT CHAPTER $10).$ The solution approach for this example problem is exactly them same as that for this homework problem. The only difference between the two cooling fin problems is the shape of the fins.

A pipe of radius Ro has a circular fin of radius R$1$ and thickness $2$B on it $($as shown in the figure below$).$ The outside wall temperature of the pipe is Tw and the ambient air temperature is Ta$.$ Neglect the heat loss from the edge of the fin $($of thickness $2$B$).$ Assume heat is transferred to the ambient air by surface convection with a constant heat transfer coefficient $h.$

Starting with a shell thermal energy balance, derive the differential equation that describes the radial temperature distribution in the fin at steady state.

$2$

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