Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders
We consider a kinetic-theory treatment of the cylindrical unsteady heat transfer. A model kinetic equation of the BGK (Bhatnager-Gross-Krook) type is solved using the method of moments with a two-sided distribution function. We study the relations between the different macroscopic properties of the...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X02108023 |
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| _version_ | 1832568228587503616 |
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| author | A. M. Abourabia M. A. Mahmoud W. S. Abdel Kareem |
| author_facet | A. M. Abourabia M. A. Mahmoud W. S. Abdel Kareem |
| author_sort | A. M. Abourabia |
| collection | DOAJ |
| description | We consider a kinetic-theory treatment of the cylindrical unsteady heat transfer. A model kinetic equation of the BGK (Bhatnager-Gross-Krook) type is solved using the method of moments with a two-sided distribution function. We study the relations between the different macroscopic properties of the gas as the temperature, density, and heat flux with both the radial distance r and the time t. Also we study the problem from the viewpoint of irreversible thermodynamics and estimate the entropy, entropy production, entropy flux, thermodynamic forces, kinetic coefficients, the change in internal energy, and verify Onsager′s relation for nonequilibrium thermodynamic properties of the system. |
| format | Article |
| id | doaj-art-8fc2657bbe7e43b997d01d35237f9657 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8fc2657bbe7e43b997d01d35237f96572025-02-03T00:59:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422002-01-012314116110.1155/S1110757X02108023Unsteady heat transfer of a monatomic gas between two coaxial circular cylindersA. M. Abourabia0M. A. Mahmoud1W. S. Abdel Kareem2Department of Mathematics, Faculty of Science, Menoufiya University, Shebin El-koam 32511, EgyptDepartment of Mathematics, Faculty of Science, Zagazig University, Banha, EgyptDepartment of Mathematics, Faculty of Education, Suez Canal University, Suez, EgyptWe consider a kinetic-theory treatment of the cylindrical unsteady heat transfer. A model kinetic equation of the BGK (Bhatnager-Gross-Krook) type is solved using the method of moments with a two-sided distribution function. We study the relations between the different macroscopic properties of the gas as the temperature, density, and heat flux with both the radial distance r and the time t. Also we study the problem from the viewpoint of irreversible thermodynamics and estimate the entropy, entropy production, entropy flux, thermodynamic forces, kinetic coefficients, the change in internal energy, and verify Onsager′s relation for nonequilibrium thermodynamic properties of the system.http://dx.doi.org/10.1155/S1110757X02108023 |
| spellingShingle | A. M. Abourabia M. A. Mahmoud W. S. Abdel Kareem Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders Journal of Applied Mathematics |
| title | Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders |
| title_full | Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders |
| title_fullStr | Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders |
| title_full_unstemmed | Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders |
| title_short | Unsteady heat transfer of a monatomic gas between two coaxial circular cylinders |
| title_sort | unsteady heat transfer of a monatomic gas between two coaxial circular cylinders |
| url | http://dx.doi.org/10.1155/S1110757X02108023 |
| work_keys_str_mv | AT amabourabia unsteadyheattransferofamonatomicgasbetweentwocoaxialcircularcylinders AT mamahmoud unsteadyheattransferofamonatomicgasbetweentwocoaxialcircularcylinders AT wsabdelkareem unsteadyheattransferofamonatomicgasbetweentwocoaxialcircularcylinders |