Author(s)

R.S. Nordlund & A.J. Kassab

Abstract

In this paper we study the non-Fourier mode of heat conduction modeled by the Hyperbolic Heat Conduction Equation (HHCE). This equation has been proposed by many researchers to model a finite speed of propagation of energy in heat conducting media. Although there has been much recent activity in the study of the HHCE, including the use of Green's function methods, there is a lack of study of the HHCE by the boundary element method (BEM). We propose and develop a Laplace transform boundary element method for the solution of the HHCE, which, in the limit of large thermal propagation speed to thermal diffusivity, also provides a solution for parabolic heat conduction. The fundamental solution is derived, and the Laplace transform BEM solution

Keywords