Numerical Analysis for Dual-Phase-Lag Heat Conduction in Layered Films

Abstract

ABSTRACT The heat conduction induced by a pulsed volumetric source in a two-layered film is investigated with the dual-phase-lag model. An analytical method and a numerical scheme are used to solve the problem. The present numerical scheme is a hybrid application of the Laplace transform method and a control-volume formulation in conjunction with hyperbolic shape functions. Because of the difference in the relaxation times, τ q and τ T , between two films, the interfacial boundary condition introduces complexity and causes some mathematical difficulties for solving the present problem directly in the temperature domain. To show the efficiency and accuracy of the present numerical scheme, comparison between the present numerical results, the analytical solution, and solutions in the literature is made. Theoretical insight to the dual-phase-lag heat conduction in two-layered films is given.