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/2023/26/e3sconf_uesf2023_01047.pdf |
| _version_ | 1797807984160538624 |
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| author | Kanareykin Alexandr |
| author_facet | Kanareykin Alexandr |
| author_sort | Kanareykin Alexandr |
| 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 | 2024-03-13T06:30:48Z |
| format | Article |
| id | doaj.art-4e2f574840bb4f459dcfb301a6c153a6 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-13T06:30:48Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-4e2f574840bb4f459dcfb301a6c153a62023-06-09T09:07:30ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013890104710.1051/e3sconf/202338901047e3sconf_uesf2023_01047Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolationKanareykin Alexandr0Sergo 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/2023/26/e3sconf_uesf2023_01047.pdf |
| spellingShingle | Kanareykin Alexandr 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/2023/26/e3sconf_uesf2023_01047.pdf |
| work_keys_str_mv | AT kanareykinalexandr temperaturedistributioninanellipticalbodywithoutinternalheatsourcesunderboundaryconditionsofthethirdkindwithpartialadiabaticisolation |