Generalization of Finite Integral Transforms for Treating Nonlinear Problems in Heat Diffusion. Part II: Application to a nonlinear case.(Dept.P)

Abstract

A solution methodology, based on the finite integral transform technique, appropriate for solving nonlinear problems of heat diffusion was developed by the author in previous work [1,2]. In this paper, the method is applied to solve the heat diffusion problem in a finite region subject to nonlinear boundary conditions due to radiation exchange at the interface according to the fourth power law. The results obtained form this analytic Solution are compared with those obtained from a numerical solution developed using an explicit finite difference method.