Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium
In this paper, we investigate the effect of a vertical magnetic field on thermal instability of an Oldroydian visco-elastic rotating fluid in a porous medium. By applying the normal mode analysis method, the dispersion relation governing the effects of rotation, magnetic field and medium permeabilit...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2013-06-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/Effect-of-Magnetic-Field-on-Thermal-Instability-of-Oldroydian-Viscoelastic-Rotating,167333,0,2.html |
| _version_ | 1797751016395898880 |
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| author | R.C. Thakur G.C. Rana |
| author_facet | R.C. Thakur G.C. Rana |
| author_sort | R.C. Thakur |
| collection | DOAJ |
| description | In this paper, we investigate the effect of a vertical magnetic field on thermal instability of an Oldroydian visco-elastic rotating fluid in a porous medium. By applying the normal mode analysis method, the dispersion relation governing the effects of rotation, magnetic field and medium permeability is derived and solved analytically and numerically. For the case of stationary convection, the Oldroydian viscoelastic fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has a stabilizing effect while the magnetic field and medium permeability have a stabilizing/destabilizing effect under certain conditions on thermal instability of the Oldroydian viscoelastic fluid in a porous medium. The oscillatory modes are introduced due to the presence of rotation, the magnetic field and gravity field. It is also observed that the ‘principle of exchange of stability’ is invalid in the presence of rotation and the magnetic field. |
| first_indexed | 2024-03-12T16:41:13Z |
| format | Article |
| id | doaj.art-220298763e9740a29c67d1d4f3b84cc2 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:41:13Z |
| publishDate | 2013-06-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-220298763e9740a29c67d1d4f3b84cc22023-08-08T14:27:06ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-06-0118255556910.2478/ijame-2013-0033167333Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous MediumR.C. Thakur0G.C. Rana1Department of Mathematics Government P.G. College Dhaliara- 177103 Himachal Pradesh, INDIADepartment of Mathematics NSCBM Govt. P. G. College, Hamirpur-177 005 Himachal Pradesh, INDIAIn this paper, we investigate the effect of a vertical magnetic field on thermal instability of an Oldroydian visco-elastic rotating fluid in a porous medium. By applying the normal mode analysis method, the dispersion relation governing the effects of rotation, magnetic field and medium permeability is derived and solved analytically and numerically. For the case of stationary convection, the Oldroydian viscoelastic fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has a stabilizing effect while the magnetic field and medium permeability have a stabilizing/destabilizing effect under certain conditions on thermal instability of the Oldroydian viscoelastic fluid in a porous medium. The oscillatory modes are introduced due to the presence of rotation, the magnetic field and gravity field. It is also observed that the ‘principle of exchange of stability’ is invalid in the presence of rotation and the magnetic field.https://www.ijame-poland.com/Effect-of-Magnetic-Field-on-Thermal-Instability-of-Oldroydian-Viscoelastic-Rotating,167333,0,2.htmlmagnetic fieldoldroydian visco-elastic fluidporous mediumrotationthermal instability |
| spellingShingle | R.C. Thakur G.C. Rana Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium International Journal of Applied Mechanics and Engineering magnetic field oldroydian visco-elastic fluid porous medium rotation thermal instability |
| title | Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium |
| title_full | Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium |
| title_fullStr | Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium |
| title_full_unstemmed | Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium |
| title_short | Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium |
| title_sort | effect of magnetic field on thermal instability of oldroydian viscoelastic rotating fluid in porous medium |
| topic | magnetic field oldroydian visco-elastic fluid porous medium rotation thermal instability |
| url | https://www.ijame-poland.com/Effect-of-Magnetic-Field-on-Thermal-Instability-of-Oldroydian-Viscoelastic-Rotating,167333,0,2.html |
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