Thermal wave crystals based on dual-phase-lag model

TL;DR

This paper investigates thermal wave crystals based on the dual-phase-lag model, analyzing their band-gap properties and potential applications in thermal metamaterials through theoretical and numerical methods.

Contribution

It introduces a novel analysis of thermal wave crystals using the dual-phase-lag model, highlighting the control of thermal band-gaps and their implications for thermal metamaterials.

Findings

Thermal band-gaps exist due to Bragg-scattering.

Larger differences in thermal wave impedance widen band-gaps.

Thermal wave impedance and mid-gap frequencies can predict band-gaps theoretically.

Abstract

Thermal wave crystals based on the dual-phase-lag model are investigated in this paper by both theoretical analysis and numerical simulation to control the non-Fourier heat conduction process. The transfer matrix method is used to calculate the complex dispersion curves. The temperature field is calculated by the finite difference time domain method. The results show that thermal band-gaps exist due to the Bragg-scattering. The key parameters characterizing the band-gaps are analyzed. The thermal wave impedance and mid-gap frequencies are introduced to predict band-gaps theoretically. Our results show that the larger the difference in the thermal wave impedances is, the wider of the thermal band-gaps will be. This study demonstrates a type of the thermal metamaterials which have potential innovative applications such as thermal imagining, thermal diodes and thermal waveguides for energy transmission.