The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment
We study the influence of N extended heat sources at external boundaries on the nonaxisymmetric temperature distribution on profiled polar-orthotropic ring plates and take into account heat exchange with the external environment. The solution of the stationary heat conduction problem for anisotropic...
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| Format: | Article |
| Language: | Belarusian |
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Belarusian State University
2020-12-01
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| Series: | Журнал Белорусского государственного университета: Математика, информатика |
| Subjects: | |
| Online Access: | https://journals.bsu.by/index.php/mathematics/article/view/3500 |
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| author | Uladzimir V. Karalevich Dmitrij G. Medvedev |
| author_facet | Uladzimir V. Karalevich Dmitrij G. Medvedev |
| author_sort | Uladzimir V. Karalevich |
| collection | DOAJ |
| description | We study the influence of N extended heat sources at external boundaries on the nonaxisymmetric temperature distribution on profiled polar-orthotropic ring plates and take into account heat exchange with the external environment. The solution of the stationary heat conduction problem for anisotropic annular plates of a random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of stationary heat conductivity problem for a reverse conical polar-orthotropic ring plate is recorded. The temperature distribution in such anisotropic plate from N extended heat sources at its outer border is more complex than in the case of temperature distribution from N point heat sources at their external border. |
| first_indexed | 2024-12-23T14:25:33Z |
| format | Article |
| id | doaj.art-cb2635275b9f4e499f03376bbc25a0d7 |
| institution | Directory Open Access Journal |
| issn | 2520-6508 2617-3956 |
| language | Belarusian |
| last_indexed | 2024-12-23T14:25:33Z |
| publishDate | 2020-12-01 |
| publisher | Belarusian State University |
| record_format | Article |
| series | Журнал Белорусского государственного университета: Математика, информатика |
| spelling | doaj.art-cb2635275b9f4e499f03376bbc25a0d72022-12-21T17:43:41ZbelBelarusian State UniversityЖурнал Белорусского государственного университета: Математика, информатика2520-65082617-39562020-12-013869110.33581/2520-6508-2020-3-86-913500The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environmentUladzimir V. Karalevich0Dmitrij G. Medvedev1International Center of Modern Education, 61 Štěpánská Street, Prague 1, PSČ 110 00, CzechBelarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, BelarusWe study the influence of N extended heat sources at external boundaries on the nonaxisymmetric temperature distribution on profiled polar-orthotropic ring plates and take into account heat exchange with the external environment. The solution of the stationary heat conduction problem for anisotropic annular plates of a random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of stationary heat conductivity problem for a reverse conical polar-orthotropic ring plate is recorded. The temperature distribution in such anisotropic plate from N extended heat sources at its outer border is more complex than in the case of temperature distribution from N point heat sources at their external border.https://journals.bsu.by/index.php/mathematics/article/view/3500polar-orthotropic annular platetemperaturestationary equation of heat conductivityvolterra integral equation of the second kindreverse conical ring plate |
| spellingShingle | Uladzimir V. Karalevich Dmitrij G. Medvedev The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment Журнал Белорусского государственного университета: Математика, информатика polar-orthotropic annular plate temperature stationary equation of heat conductivity volterra integral equation of the second kind reverse conical ring plate |
| title | The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment |
| title_full | The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment |
| title_fullStr | The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment |
| title_full_unstemmed | The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment |
| title_short | The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment |
| title_sort | influence of the length of heat sources on the external border on the temperature distribution in profiled polar orthotropic ring plates taking into account there heat exchange with the external environment |
| topic | polar-orthotropic annular plate temperature stationary equation of heat conductivity volterra integral equation of the second kind reverse conical ring plate |
| url | https://journals.bsu.by/index.php/mathematics/article/view/3500 |
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