Emergence of non-fourier hierarchies

T. Fülöp, Róbert Kovács, Ádám Lovas, Ágnes Rieth, Tamás Fodor, Mátyás Szücs, P. Ván, Gyula Gróf

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs, and how we treated it. It is demonstrated that the Guyer-Krumhansl equation can be the next appropriate extension of Fourier's law for room-temperature phenomena in modeling of heterogeneous materials. The second approach provides an interpretation of generalized heat conduction equations using a simple thermo-mechanical background. Here, Fourier heat conduction is coupled to elasticity via thermal expansion, resulting in a particular generalized heat equation for the temperature field. Both aforementioned approaches show the size dependency of non-Fourier heat conduction. Finally, a third approach is presented, called pseudo-temperature modeling. It is shown that non-Fourier temperature history can be produced by mixing different solutions of Fourier's law. That kind of explanation indicates the interpretation of underlying heat conduction mechanics behind non-Fourier phenomena.

Original languageEnglish
Article number832
JournalEntropy
Volume20
Issue number11
DOIs
Publication statusPublished - Nov 1 2018

Fingerprint

conductive heat transfer
hierarchies
Fourier law
room temperature
thermal expansion
temperature distribution
elastic properties
histories
thermodynamics
temperature

Keywords

  • Guyer-Krumhansl equation
  • Heat pulse experiments
  • Non-Fourier heat conduction
  • Pseudo-temperature
  • Thermal expansion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Fülöp, T., Kovács, R., Lovas, Á., Rieth, Á., Fodor, T., Szücs, M., ... Gróf, G. (2018). Emergence of non-fourier hierarchies. Entropy, 20(11), [832]. https://doi.org/10.3390/e20110832

Emergence of non-fourier hierarchies. / Fülöp, T.; Kovács, Róbert; Lovas, Ádám; Rieth, Ágnes; Fodor, Tamás; Szücs, Mátyás; Ván, P.; Gróf, Gyula.

In: Entropy, Vol. 20, No. 11, 832, 01.11.2018.

Research output: Contribution to journalArticle

Fülöp, T, Kovács, R, Lovas, Á, Rieth, Á, Fodor, T, Szücs, M, Ván, P & Gróf, G 2018, 'Emergence of non-fourier hierarchies', Entropy, vol. 20, no. 11, 832. https://doi.org/10.3390/e20110832
Fülöp T, Kovács R, Lovas Á, Rieth Á, Fodor T, Szücs M et al. Emergence of non-fourier hierarchies. Entropy. 2018 Nov 1;20(11). 832. https://doi.org/10.3390/e20110832
Fülöp, T. ; Kovács, Róbert ; Lovas, Ádám ; Rieth, Ágnes ; Fodor, Tamás ; Szücs, Mátyás ; Ván, P. ; Gróf, Gyula. / Emergence of non-fourier hierarchies. In: Entropy. 2018 ; Vol. 20, No. 11.
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