Formulation of heat conduction and thermal conductivity of metals
The well-known low-pressure monatomic gas thermal conductivity expression is based on the Maxwell-Boltzmann velocity distribution and involves the mean particle velocity, the gas heat capacity at constant volume and the particle mean free path. The extension of the formula to a free electron Fermi g...
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| المؤلف الرئيسي: | |
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| التنسيق: | article |
| منشور في: |
2019
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://hdl.handle.net/11073/16617 |
| الوسوم: |
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| _version_ | 1864513442877014016 |
|---|---|
| author | Chebbi, Rachid |
| author_facet | Chebbi, Rachid |
| author_role | author |
| dc.creator.none.fl_str_mv | Chebbi, Rachid |
| dc.date.none.fl_str_mv | 2019 2020-02-23T06:41:54Z 2020-02-23T06:41:54Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | Chebbi, R. (2019). Formulation of heat conduction and thermal conductivity of metals. Open Physics, 17(1), pp. 276-280. Retrieved 23 Feb. 2020, from doi:10.1515/phys-2019-0028 2391-5471 http://hdl.handle.net/11073/16617 10.1515/phys-2019-0028 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | De Gruyter |
| dc.relation.none.fl_str_mv | https://doi.org/10.1515/phys-2019-0028 |
| dc.subject.none.fl_str_mv | Thermal conductivity Metals Formulation Free electron model Drude-Sommerfeld model |
| dc.title.none.fl_str_mv | Formulation of heat conduction and thermal conductivity of metals |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | The well-known low-pressure monatomic gas thermal conductivity expression is based on the Maxwell-Boltzmann velocity distribution and involves the mean particle velocity, the gas heat capacity at constant volume and the particle mean free path. The extension of the formula to a free electron Fermi gas, using the Fermi velocity along with the Sommerfeld electronic heat capacity, was demonstrated in the literature using the Boltzmann transport equation. A different formulation of heat conduction in sufficiently pure metals, yielding the same formula for the thermal conductivity, is provided in the present investigation using the free electron Fermi gas energy distribution with the thermal conductivity determined from the net heat transfer occurring due to random motions of the free electrons in the presence of temperature gradient. Potential applications of this approach include extension of the present kinetic model incorporating quantum effects to cases in which electron scattering occurs such as in nanowires and hollow nanowires. |
| format | article |
| id | aus_c38cdcb1a4adbf9c681b3a8037c2d7c8 |
| identifier_str_mv | Chebbi, R. (2019). Formulation of heat conduction and thermal conductivity of metals. Open Physics, 17(1), pp. 276-280. Retrieved 23 Feb. 2020, from doi:10.1515/phys-2019-0028 2391-5471 10.1515/phys-2019-0028 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/16617 |
| publishDate | 2019 |
| publisher.none.fl_str_mv | De Gruyter |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Formulation of heat conduction and thermal conductivity of metalsChebbi, RachidThermal conductivityMetalsFormulationFree electron modelDrude-Sommerfeld modelThe well-known low-pressure monatomic gas thermal conductivity expression is based on the Maxwell-Boltzmann velocity distribution and involves the mean particle velocity, the gas heat capacity at constant volume and the particle mean free path. The extension of the formula to a free electron Fermi gas, using the Fermi velocity along with the Sommerfeld electronic heat capacity, was demonstrated in the literature using the Boltzmann transport equation. A different formulation of heat conduction in sufficiently pure metals, yielding the same formula for the thermal conductivity, is provided in the present investigation using the free electron Fermi gas energy distribution with the thermal conductivity determined from the net heat transfer occurring due to random motions of the free electrons in the presence of temperature gradient. Potential applications of this approach include extension of the present kinetic model incorporating quantum effects to cases in which electron scattering occurs such as in nanowires and hollow nanowires.De Gruyter2020-02-23T06:41:54Z2020-02-23T06:41:54Z2019Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfChebbi, R. (2019). Formulation of heat conduction and thermal conductivity of metals. Open Physics, 17(1), pp. 276-280. Retrieved 23 Feb. 2020, from doi:10.1515/phys-2019-00282391-5471http://hdl.handle.net/11073/1661710.1515/phys-2019-0028en_UShttps://doi.org/10.1515/phys-2019-0028oai:repository.aus.edu:11073/166172024-08-22T12:05:36Z |
| spellingShingle | Formulation of heat conduction and thermal conductivity of metals Chebbi, Rachid Thermal conductivity Metals Formulation Free electron model Drude-Sommerfeld model |
| status_str | publishedVersion |
| title | Formulation of heat conduction and thermal conductivity of metals |
| title_full | Formulation of heat conduction and thermal conductivity of metals |
| title_fullStr | Formulation of heat conduction and thermal conductivity of metals |
| title_full_unstemmed | Formulation of heat conduction and thermal conductivity of metals |
| title_short | Formulation of heat conduction and thermal conductivity of metals |
| title_sort | Formulation of heat conduction and thermal conductivity of metals |
| topic | Thermal conductivity Metals Formulation Free electron model Drude-Sommerfeld model |
| url | http://hdl.handle.net/11073/16617 |