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Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice

Department of Mathematics, Computer Science and Economics, University of Basilicata, Potenza 85100, Italy
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Academic Editors: Michel Feidt, Daniel Tondeur, Jean-Noël Jaubert and Romain Privat
Entropy 2015, 17(8), 5157-5170; https://doi.org/10.3390/e17085157
Received: 28 May 2015 / Revised: 10 July 2015 / Accepted: 20 July 2015 / Published: 24 July 2015
(This article belongs to the Special Issue Selected Papers from 13th Joint European Thermodynamics Conference)
A nonlocal model for heat transfer with phonons and electrons is applied to infer the steady-state radial temperature profile in a circular layer surrounding an inner hot component. Such a profile, following by the numerical solution of the heat equation, predicts that the temperature behaves in an anomalous way, since for radial distances from the heat source smaller than the mean-free path of phonons and electrons, it increases for increasing distances. The compatibility of this temperature behavior with the second law of thermodynamics is investigated by calculating numerically the local entropy production as a function of the radial distance. It turns out that such a production is positive and strictly decreasing with the radial distance. View Full-Text
Keywords: temperature hump; nonlocal model for heat transfer; heat conduction with phonons and electrons temperature hump; nonlocal model for heat transfer; heat conduction with phonons and electrons
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Cimmelli, V.A.; Carlomagno, I.; Sellitto, A. Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice. Entropy 2015, 17, 5157-5170.

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