Consider a pin fin with variable conductivity k(T), constant cross sectional area Ac and constant perimeter, P. Develop the difference equations for steady one-dimensional conduction in the fin and suggest a method for solving the equations. The fin is exposed to ambient temperature Tα through a heat transfer coefficient h. The fin tip is insulated and the fin root is at temperature To.GIVENFin with variable thermal conductivity,k(T)

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Ac i-1 i i+1 Δx T1- To