Frequency Analysis of Dual-Phase-Lag Heat Conduction Model

Abstract

The classic law of heat conduction proposed by Fourier often fails to predict correctly the temperature evolution in time, especially in nanosized structures or in the case of rapidly changing heat fluxes. The Dual-Phase-Lag heat conduction model is supposed to overcome these issues. However, the most frequently used version of this model employs the first-order Taylor approximation of its original version. This paper, based on the thermal analyses carried out for a one-dimensional silicon structure in the frequency domain, discusses fundamental limitations resulting from this approximation.