Thermal wave crystals based on the dual-phase-lag model

Li, Zhengyang; Ma, Tian-Xue; Chen, A‐Li; Wang, Yue‐Sheng; Zhang, Chuanzeng

doi:10.1016/j.rinp.2020.103371

Cited by 3 publications

(1 citation statement)

References 43 publications

(44 reference statements)

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“…Thermal Wave Crystals (TWCs), which were first proposed by A-Li Chen et al in 2018, have attracted a lot of interest for the existence of band gaps when heat flow is of oscillatory nature [1]. The fact that TWCs exhibit band gaps for their oscillatory behavior motivated the development of numerous studies aimed at exploring their properties and potential applications [2][3][4][5][6]. For instance, the presence of band gaps within a TWC structure has the potential to reduce heat propagation by means of interference [1].…”

Section: Introductionmentioning

confidence: 99%

Complex band structure of thermal wave crystals: The plane-wave method

Romero-Ramos,

Manzanares-Martinez,

Soto-Puebla

et al. 2024

Rev. Mex. Fís.

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In this paper, we present an extension of the plane-wave method (PWM) to compute the complex band structure of thermal wave crystals (TWCs). The structural periodicity of TWC allows the possibility to manipulate non-Fourier heat via wave interference. While the Cattaneo-Vernotte (CV) heat conduction theory accurately models oscillatory wave-like propagation of heat in TWCs, obtaining an eigenvalue equation for frequency using the CV wave equation is not possible. To overcome this limitation, we propose a novel approach that solves a complex eigenvalue equation for the Bloch wave vectors

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