The quasi-stationary approximation for the Stefan problem with a convective boundary condition
We show that the solution to the Stefan problem with a convective boundary condition tends to the quasi-stationary approximation as the specific heat tends to zero. Additional properties of the approximation are given, and some examples are presented.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000612 |
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| _version_ | 1850163538265374720 |
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| author | A. D. Solomon D. G. Wilson V. Alexiades |
| author_facet | A. D. Solomon D. G. Wilson V. Alexiades |
| author_sort | A. D. Solomon |
| collection | DOAJ |
| description | We show that the solution to the Stefan problem with a convective boundary condition tends to the quasi-stationary approximation as the specific heat tends to zero. Additional properties of the approximation are given, and some examples are presented. |
| format | Article |
| id | doaj-art-e839182fc3aa4825830096e7b3b8ae22 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e839182fc3aa4825830096e7b3b8ae222025-08-20T02:22:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017354956310.1155/S0161171284000612The quasi-stationary approximation for the Stefan problem with a convective boundary conditionA. D. Solomon0D. G. Wilson1V. Alexiades2Mathematics and Statistics Research Engineering, Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge 37830, Tennessee, USAMathematics and Statistics Research Engineering, Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge 37830, Tennessee, USADepartment of Mathematics, The University of Tennessee, Knoxville 37996-1300, Tennessee, USAWe show that the solution to the Stefan problem with a convective boundary condition tends to the quasi-stationary approximation as the specific heat tends to zero. Additional properties of the approximation are given, and some examples are presented.http://dx.doi.org/10.1155/S0161171284000612Stefan problemquasi-stationary approximationlatent heat thermal energy storage. |
| spellingShingle | A. D. Solomon D. G. Wilson V. Alexiades The quasi-stationary approximation for the Stefan problem with a convective boundary condition International Journal of Mathematics and Mathematical Sciences Stefan problem quasi-stationary approximation latent heat thermal energy storage. |
| title | The quasi-stationary approximation for the Stefan problem with a convective boundary condition |
| title_full | The quasi-stationary approximation for the Stefan problem with a convective boundary condition |
| title_fullStr | The quasi-stationary approximation for the Stefan problem with a convective boundary condition |
| title_full_unstemmed | The quasi-stationary approximation for the Stefan problem with a convective boundary condition |
| title_short | The quasi-stationary approximation for the Stefan problem with a convective boundary condition |
| title_sort | quasi stationary approximation for the stefan problem with a convective boundary condition |
| topic | Stefan problem quasi-stationary approximation latent heat thermal energy storage. |
| url | http://dx.doi.org/10.1155/S0161171284000612 |
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