A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary
The paper presents generalized relation between the local values of temperature and the corresponding heat flux in a onedimensional semi-infinite domain with the moving boundary. The generalized relation between the local values of tempe...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2012
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/95603 http://hdl.handle.net/10220/8724 |
| _version_ | 1811684001304281088 |
|---|---|
| author | Kulish, Vladimir. Poletkin, Kirill V. |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Kulish, Vladimir. Poletkin, Kirill V. |
| author_sort | Kulish, Vladimir. |
| collection | NTU |
| description | The paper presents generalized relation between the local values of temperature and the corresponding heat flux in a onedimensional
semi-infinite domain with the moving boundary. The generalized relation between the local values of temperature
and the corresponding heat flux has been achieved by the use of a novel technique that involves generalized derivatives (in particular,
derivatives of non-integer orders). Confluent hyper-geometric functions, known as Whittaker’s functions, appear in the course
of the solution procedure, upon applying the Laplace transform to the original transport equation. The relation is written in the
integral form and provides a relationship between the local values of the temperature and heat flux. |
| first_indexed | 2024-10-01T04:21:41Z |
| format | Journal Article |
| id | ntu-10356/95603 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:21:41Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | ntu-10356/956032023-03-04T17:18:27Z A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary Kulish, Vladimir. Poletkin, Kirill V. School of Mechanical and Aerospace Engineering DRNTU::Science::Mathematics::Analytic mechanics DRNTU::Engineering::Mechanical engineering The paper presents generalized relation between the local values of temperature and the corresponding heat flux in a onedimensional semi-infinite domain with the moving boundary. The generalized relation between the local values of temperature and the corresponding heat flux has been achieved by the use of a novel technique that involves generalized derivatives (in particular, derivatives of non-integer orders). Confluent hyper-geometric functions, known as Whittaker’s functions, appear in the course of the solution procedure, upon applying the Laplace transform to the original transport equation. The relation is written in the integral form and provides a relationship between the local values of the temperature and heat flux. Accepted version 2012-10-08T08:30:00Z 2019-12-06T19:18:08Z 2012-10-08T08:30:00Z 2019-12-06T19:18:08Z 2012 2012 Journal Article Vladimir, K., & Kirill, V. P. (2012). A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary. International Journal of Heat and Mass Transfer, 55(23–24), 6595-6599. https://hdl.handle.net/10356/95603 http://hdl.handle.net/10220/8724 10.1016/j.ijheatmasstransfer.2012.06.067 161965 en International journal of heat and mass transfer © 2012 Elsevier Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by International journal of heat and mass transfer, Elsevier Ltd. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.06.067. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Analytic mechanics DRNTU::Engineering::Mechanical engineering Kulish, Vladimir. Poletkin, Kirill V. A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary |
| title | A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary |
| title_full | A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary |
| title_fullStr | A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary |
| title_full_unstemmed | A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary |
| title_short | A generalized relation between the local values of temperature and the corresponding heat flux in a one-dimensional semi-infinite domain with the moving boundary |
| title_sort | generalized relation between the local values of temperature and the corresponding heat flux in a one dimensional semi infinite domain with the moving boundary |
| topic | DRNTU::Science::Mathematics::Analytic mechanics DRNTU::Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/95603 http://hdl.handle.net/10220/8724 |
| work_keys_str_mv | AT kulishvladimir ageneralizedrelationbetweenthelocalvaluesoftemperatureandthecorrespondingheatfluxinaonedimensionalsemiinfinitedomainwiththemovingboundary AT poletkinkirillv ageneralizedrelationbetweenthelocalvaluesoftemperatureandthecorrespondingheatfluxinaonedimensionalsemiinfinitedomainwiththemovingboundary AT kulishvladimir generalizedrelationbetweenthelocalvaluesoftemperatureandthecorrespondingheatfluxinaonedimensionalsemiinfinitedomainwiththemovingboundary AT poletkinkirillv generalizedrelationbetweenthelocalvaluesoftemperatureandthecorrespondingheatfluxinaonedimensionalsemiinfinitedomainwiththemovingboundary |