Consider steady one-dimensional heat conduction in a pin fin of constant diameter D with constant thermal conductivity. The fin is losing heat by convection to the ambient air at tk with a heat transfer coefficient of h. The nodal network of the fin consists of nodes 0 (at the base) , 1 (in the middle) , and 2 (at the fin tip) with a uniform nodal spacing of Δx. Using the energy balance approach, obtain the finite difference formulation of this problem to determine 7, and T2 for the case of specified temperature at the fin base and negligible heat transfer at the fin tip. All temperatures are in °C.
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