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.

Sources of finite speed temperature propagation / Paolo Maria Mariano; Marco Spadini. - In: JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS. - ISSN 0340-0204. - STAMPA. - .47:(2022), pp. 165-178. [10.1515/jnet-2021-0078]

Sources of finite speed temperature propagation

Paolo Maria Mariano
Membro del Collaboration Group
;
Marco Spadini
Membro del Collaboration Group
2022

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.
2022
.47
165
178
Goal 17: Partnerships for the goals
Paolo Maria Mariano; Marco Spadini
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1255779
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