Abstract
The present study considers in detail the problem of a uniform area radiating fin for large values of the radiation conduction interaction parameter N. A method is developed for improving the previously known asymptotic solution to make it applicable for relatively smaller values of N. While the method yields the exact solution in the case of linearized radiation, it leads to a close form solution, valid for all N, in the case of a fin radiating to a sink at zero temperature. The general case of a fin radiating to a sink at a non-zero temperature needs a numerical solution of equations that do not involve N. The results show an excellent agreement between the present calculations and the exact solutions available in the literature.
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