Green's function solution for thermal wave equation in finite bodies

Abstract

The classical diffusion theory is based on the assumption of local thermal equilibrium. For conduction in thin films or at low temperature, the classical theory of heat conduction breaks down. Various investigations have shown that a wave-type conduction equation adequately describes the thermal energy transport. This paper describes a general solution technique when the wave nature of thermal energy transport is dominant. The solution for temperature distribution is derived for finite bodies. The definition of Green's functions for a wave-type conduction equation is presented and a general form of the Green's function solution method for finite bodies is introduced.