The complete solution, expressed in terms of Eqs. (7, 10> and 11), gives the temperature profile along the fin in terms of the radiation-conduction parameter e, convection parameter (Biot modulus) X, environment temperature Oe, and fin geometry v. The simple form of the solution permits temperature calculations without recourse to a computer and enables evaluation of the effects that problem parameters (e,X,0e,jO have on the response of the fin. To check the accuracy of the perturbation solution, the problem was also solved numerically. Figure 1 gives temperature profiles for various values of the perturbation parameter e and Biot modulus X2, for 6e = 0.1 and v = 0.0208. As expected, the perturbation solution becomes increasingly more accurate as the perturbation parameter e decreases, since for small e, the nonlinear radiation effects are small relative to conduction. The accuracy of the solution is also observed to improve as the Biot modulus X2 is increased. For large X, radiation effects become small relative to convection and the accuracy of the perturbation solution again improves.