Transient Heat Conduction Analysis for Two-Dimensional Orthotropic Bodies by Boundary Element Method.

Abstract

This paper proposes a boundary element method for analysis of transient heat conduction problems in orthotropic bodies. The time-dependent fundamental solution is used for the formulation of the boundary integral equation. First, the time-dependent fundamental solution of an orthotropic body is obtained using Fourier transform and Laplace transform. In order to solve this boundary integral equation for the case with heat generation or initial temperature, the domain integral is necessary. In this paper we also show that these problems can be solved approximately without the domain integral. This method can also be applied to thermal problems with complicated heat generation, and for general heat generation, the domain must be divided into small areas, where the distribution of heat generation satisfies the harmonic equation. In order to divide the domain, the contour lines of heat generation, which approximate the actual heat generation, are used. A new computer program is developed and applied to several problems.