Computer modeling of non-stationary conduction of heat in two-layer plate

Abstract

In this paper we deal with study of a heat transport process in solids. Especially we focused on a problem of non-stationary conduction of heat in a two-layer plane plate. For this purpose we formulated mathematical model describing heating or cooling of a semi-infinite region. The analytical solution of this model we used for computer modelling of the mentioned process by use of mathematical software Maple. In the second part of the paper we demonstrate modelling of computing of heating or cooling of the two-layer plane plate by use of the software application that we programmed for automatic computing of temperature fields in the solids during heating or cooling of the two-layer plane plate. Finally, we verified validity of the formulated problem by comparison of the computed data with computer simulation of the process by use of commercial software Comsol Multiphysics.