GREEN-FUNCTION SOLUTION FOR THERMAL-WAVE EQUATION IN FINITE BODIES

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