A Green's function for steady‐state two‐dimensional isotropic heat conduction across a homogeneously imperfect interface

Abstract

AbstractThe problem of calculating the steady‐state two‐dimensional temperature field in a thermally isotropic bimaterial which has a homogeneously imperfect interface is considered. There is a temperature jump across the imperfect interface. To devise a boundary element method, which does not require the imperfect interface to be discretized, for the numerical solution of the problem, a special Green's function satisfying the appropriate interface condition is derived. A specific test problem is solved numerically using the boundary element method. Copyright © 2004 John Wiley & Sons, Ltd.