BEM for coupling radiation-conduction heat transfer

Abstract

A boundary element method is presented for solving radiation-conduction coupling heat transfer problems. Two heat transfer processes are coupled by using radiation sources. Firstly, equations of radiative heat transfer, radiative heat source and heat conduction are discretized using BEM, respectively. Secondly, the radiative heat flux in radiative heat source equation is eliminated using radiative heat transfer equation. Then, a set of nonlinear equations is obtained according to the Stefan-Boltzmann law. All domain integrals appearing in integral equations are converted into equivalent boundary integrals using the radial integration method (RIM), which results in a pure BEM algorithm only needing boundary discretization even for participating media. Finally, The Newton-Raphson iteration method is adopted to solve the non-linear system of equations. Numerical examples are given to illustrate the accuracy and effectiveness of the developed technique.