Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-07-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/8/5157 |
| _version_ | 1828154985039265792 |
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| author | Vito Antonio Cimmelli Isabella Carlomagno Antonio Sellitto |
| author_facet | Vito Antonio Cimmelli Isabella Carlomagno Antonio Sellitto |
| author_sort | Vito Antonio Cimmelli |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T22:46:48Z |
| format | Article |
| id | doaj.art-0b08af84789b45bd9811bb8a473854a2 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:46:48Z |
| publishDate | 2015-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-0b08af84789b45bd9811bb8a473854a22022-12-22T03:58:44ZengMDPI AGEntropy1099-43002015-07-011785157517010.3390/e17085157e17085157Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot NanodeviceVito Antonio Cimmelli0Isabella Carlomagno1Antonio Sellitto2Department of Mathematics, Computer Science and Economics, University of Basilicata, Potenza 85100, ItalyDepartment of Mathematics, Computer Science and Economics, University of Basilicata, Potenza 85100, ItalyDepartment of Mathematics, Computer Science and Economics, University of Basilicata, Potenza 85100, ItalyA 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.http://www.mdpi.com/1099-4300/17/8/5157temperature humpnonlocal model for heat transferheat conduction with phonons and electrons |
| spellingShingle | Vito Antonio Cimmelli Isabella Carlomagno Antonio Sellitto Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice Entropy temperature hump nonlocal model for heat transfer heat conduction with phonons and electrons |
| title | Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice |
| title_full | Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice |
| title_fullStr | Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice |
| title_full_unstemmed | Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice |
| title_short | Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice |
| title_sort | non fourier heat transfer with phonons and electrons in a circular thin layer surrounding a hot nanodevice |
| topic | temperature hump nonlocal model for heat transfer heat conduction with phonons and electrons |
| url | http://www.mdpi.com/1099-4300/17/8/5157 |
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