Exact Closed-Form Result for the Heat Transfer From Convecting-Radiating Fin of Rectangular Shape

In this letter, the problem of determining heat transfer from convecting-radiating fin of rectangular shape is investigated. We consider steady conduction in the fin and neglect radiative exchange between adjacent fins and between the fin and its primary surface. It is demonstrated that the governing fin equation is exactly solvable. The exact, closed-form analytical solutions in implicit form are convenient for physical interpretation and optimization for maximum heat transfer.

Keywords:

Exact analytical solution , Unique solution , Temperature distribution , Fin efficiency , Heat transfer rate