Study of heat transfer in multilayered structure within the framework of dual-phase-lag heat conduction model using lattice Boltzmann method

摘要

The effect of the phase lag of temperature gradient, τ_T, on the transmission-reflection phenomenon, induced by a pulsed thermal energy passing the interface of a two-layered structure, within the framework of dual-phase-lag based heat conduction equation is studied numerically by the lattice Boltzmann (LB) method. An extended LB equation, with truncation error of order two, and a numerical solution procedure are developed for the solution of the governing equation and the derived interfacial boundary condition. Results show that the interface reflects a negative followed by a positive waveform when the pulsed thermal wave propagates from the media with lower τ_T into the media with higher τ_T and vice versa if the wave propagates from higher into lower τ_T media. These special phenomena which have not been presented in the available literatures are unable to be predicted in the framework of hyperbolic heat conduction equation.