HEAT-TRANSFER TO AN INFINITE SOLID THROUGH A MOVING BOUNDARY

The objective of this paper is to investigate the classical Stefan pro blem of a one dimensional heat transfer problem with a moving boundary . To solve this problem we use a known perturbation scheme to obtain a n approximate solution when the ratio of sensible heat to the latent h eat is small. We compare a numerical solution of this problem with the asymptotic and investigate the variation of the asymptotic regression rate with key parameters. This method is valid for small values of th e Stefan parameter and the motivation of this model is that it can be applied to a similar problem involving char formation. (C) 1997 Elsevi er Science Ltd.