Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources
The present work is concerned with unsteady free convection flow of an incompressible electrically conducting micropolar fluid, bounded by an infinite vertical plane surface of constant temperature. A uniform magnetic field acts perpendicularly to the plane. The state space technique is adopted for...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04403088 |
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| _version_ | 1832556128695746560 |
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| author | Magdy A. Ezzat |
| author_facet | Magdy A. Ezzat |
| author_sort | Magdy A. Ezzat |
| collection | DOAJ |
| description | The present work is concerned with unsteady free convection flow
of an incompressible electrically conducting micropolar fluid,
bounded by an infinite vertical plane surface of constant
temperature. A uniform magnetic field acts perpendicularly to the
plane. The state space technique is adopted for the
one-dimensional problems including heat sources with one
relaxation time. The resulting formulation is applied to a
problem for the whole space with a plane distribution of heat
sources. The reflection method together with the solution
obtained for the whole space is applied to a semispace problem
with a plane distribution of heat sources located inside the
fluid. The inversion of the Laplace transforms is carried out
using a numerical approach. Numerical results for the
temperature, the velocity, and the angular velocity distributions
are given and illustrated graphically for the problems considered. |
| format | Article |
| id | doaj-art-ddbdfbf7f0a9442da80bab73612528a1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ddbdfbf7f0a9442da80bab73612528a12025-02-03T05:46:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004427129210.1155/S1110757X04403088Free convection flow of conducting micropolar fluid with thermal relaxation including heat sourcesMagdy A. Ezzat0Department of Mathematics, Faculty of Education, Alexandria University, Alexandria El-Shatby 21625, EgyptThe present work is concerned with unsteady free convection flow of an incompressible electrically conducting micropolar fluid, bounded by an infinite vertical plane surface of constant temperature. A uniform magnetic field acts perpendicularly to the plane. The state space technique is adopted for the one-dimensional problems including heat sources with one relaxation time. The resulting formulation is applied to a problem for the whole space with a plane distribution of heat sources. The reflection method together with the solution obtained for the whole space is applied to a semispace problem with a plane distribution of heat sources located inside the fluid. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results for the temperature, the velocity, and the angular velocity distributions are given and illustrated graphically for the problems considered.http://dx.doi.org/10.1155/S1110757X04403088 |
| spellingShingle | Magdy A. Ezzat Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources Journal of Applied Mathematics |
| title | Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources |
| title_full | Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources |
| title_fullStr | Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources |
| title_full_unstemmed | Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources |
| title_short | Free convection flow of conducting micropolar fluid with thermal relaxation including heat sources |
| title_sort | free convection flow of conducting micropolar fluid with thermal relaxation including heat sources |
| url | http://dx.doi.org/10.1155/S1110757X04403088 |
| work_keys_str_mv | AT magdyaezzat freeconvectionflowofconductingmicropolarfluidwiththermalrelaxationincludingheatsources |