Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation
The article deals with the distribution of the temperature field in an elliptical body without internal heat sources. In this case, the boundary conditions are boundary conditions of the third kind. The solution is found when moving to an elliptic coordinate system. The author has obtained an analyt...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/08/e3sconf_afe2023_03017.pdf |
| _version_ | 1811157458806112256 |
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| author | Kanareykin Aleksandr |
| author_facet | Kanareykin Aleksandr |
| author_sort | Kanareykin Aleksandr |
| collection | DOAJ |
| description | The article deals with the distribution of the temperature field in an elliptical body without internal heat sources. In this case, the boundary conditions are boundary conditions of the third kind. The solution is found when moving to an elliptic coordinate system. The author has obtained an analytical solution for the distribution of the temperature field in a body with an elliptical cross section of infinite length at a given ambient temperature with partial adiabatic isolation in the form of a functional series using hypergeometric functions. |
| first_indexed | 2024-04-10T05:07:57Z |
| format | Article |
| id | doaj.art-2a53e42c6d314ae9bccb0578cc46923c |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-04-10T05:07:57Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-2a53e42c6d314ae9bccb0578cc46923c2023-03-09T11:17:37ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013710301710.1051/e3sconf/202337103017e3sconf_afe2023_03017Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolationKanareykin Aleksandr0Sergo Ordzhonikidze Russian State University for Geological ProspectingThe article deals with the distribution of the temperature field in an elliptical body without internal heat sources. In this case, the boundary conditions are boundary conditions of the third kind. The solution is found when moving to an elliptic coordinate system. The author has obtained an analytical solution for the distribution of the temperature field in a body with an elliptical cross section of infinite length at a given ambient temperature with partial adiabatic isolation in the form of a functional series using hypergeometric functions.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/08/e3sconf_afe2023_03017.pdf |
| spellingShingle | Kanareykin Aleksandr Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation E3S Web of Conferences |
| title | Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation |
| title_full | Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation |
| title_fullStr | Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation |
| title_full_unstemmed | Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation |
| title_short | Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation |
| title_sort | temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/08/e3sconf_afe2023_03017.pdf |
| work_keys_str_mv | AT kanareykinaleksandr temperaturedistributioninanellipticalbodywithoutinternalheatsourcesunderboundaryconditionsofthethirdkindwithpartialadiabaticisolation |