Sources of Finite Speed Temperature Propagation

IF 4.3 3区工程技术 Q1 MECHANICS

Journal of Non-Equilibrium Thermodynamics Pub Date : 2022-02-09 DOI:10.1515/jnet-2021-0078

P. M. Mariano, M. Spadini

引用次数: 4

Abstract

Abstract The relation between heat flux and temperature gradient has been considered as a constitutive structure or as a balance law in different approaches. Both views may allow a description of heat conduction characterized by finite speed propagation of temperature disturbances. Such a result, which overcomes Fourier’s drawback of infinite speed propagation, can be obtained also by considering insufficient the representation of a conductor, even when it is considered to be rigid, rather than the sole relation between heat flux and temperature gradient. We comment this last view and describe the intersection with previous proposals. Eventually, we show how under Fourier’s law we can have traveling-wave-type temperature propagation when thermal microstructures are accounted for.

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有限速度温度传播的来源

热通量与温度梯度的关系在不同的方法中被认为是一个本构结构或一个平衡定律。这两种观点都可以描述以温度扰动的有限速度传播为特征的热传导。这样的结果，克服了傅里叶无限速度传播的缺点，也可以通过不充分考虑导体的表示来获得，即使它被认为是刚性的，而不是热通量和温度梯度之间的唯一关系。我们评论了最后一个视图，并描述了它与之前的建议的交集。最后，我们展示了如何在傅里叶定律下，当考虑到热微观结构时，我们可以有行波型温度传播。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Non-Equilibrium Thermodynamics 物理-力学

CiteScore

9.10

自引率

18.20%

发文量

审稿时长

1 months

期刊介绍： The Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on a) newly observed non-equilibrium phenomena, b) analytic or numeric modeling for their interpretation, c) vanguard methods to describe non-equilibrium phenomena. Contributions should – among others – present novel approaches to analyzing, modeling and optimizing processes of engineering relevance such as transport processes of mass, momentum and energy, separation of fluid phases, reproduction of living cells, or energy conversion. The journal is particularly interested in contributions which add to the basic understanding of non-equilibrium phenomena in science and engineering, with systems of interest ranging from the macro- to the nano-level. The Journal of Non-Equilibrium Thermodynamics　has recently expanded its scope to place new emphasis on theoretical and experimental investigations of non-equilibrium phenomena in thermophysical, chemical, biochemical and abstract model systems of engineering relevance. We are therefore pleased to invite submissions which present newly observed non-equilibrium phenomena, analytic or fuzzy models for their interpretation, or new methods for their description.