Numerical Method of Transient Heat Conduction with Temperature Dependent Thermal Properties

Abstract

Finite difference methods were developed to solve transient problems of nonlinear heat conduction with temperature dependent thermal properties, and the following steps were presented. (1) Finite difference equations of heat conduction and of boundary conditions were presented and the stability conditions of them were discussed. (2) The types of boundary conditions which could be treated by these finite difference equations were larified. (3) Difference equations of the explicit type were shown to be applicable to most nonlinear problems of heat conduction, and the sufficient conditions to obtain numerical solutions of required accuracies were discussed and presented. (4) Numerical results of temperature response in plastic plates were compared with experimental results and these were shown to agree with sufficient accuracies.