Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass
Combined effects of magnetic field and thermodiffusion (Soret effect) on natural convection within an electrically conducting binary mixture, confined in a horizontal sparsely packed porous enclosure subjected to uniform fluxes of heat and mass, is studied analytically and numerically. In the limit...
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2016-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=39449&issue_ID=225 |
| _version_ | 1818491670558146560 |
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| author | Mohamed Bourich M. Hasnaoui Abdelkhalek Amahmid Mohammed Er-Raki A. Lagra Mahmoud Mamou |
| author_facet | Mohamed Bourich M. Hasnaoui Abdelkhalek Amahmid Mohammed Er-Raki A. Lagra Mahmoud Mamou |
| author_sort | Mohamed Bourich |
| collection | DOAJ |
| description | Combined effects of magnetic field and thermodiffusion (Soret effect) on natural convection within an electrically conducting binary mixture, confined in a horizontal sparsely packed porous enclosure subjected to uniform fluxes of heat and mass, is studied analytically and numerically. In the limit of a shallow enclosure, an analytical solution is derived using the parallel flow approximation. The approximate analytical solution is validated against the numerical solution of the full governing equations using a finite difference method. Interesting flow bifurcation phenomena are obtained herein and discussed. The linear stability theory and the parallel flow concept are used to determine explicitly the thresholds for the onset of stationary,subcritical and oscillatory convections as functions of the governing parameters. The obtained results showed the existence of different regions in the (N, Le) plane that correspond to different parallel flow behaviors. The number and the locations of these regions depend on the Soret parameter. The existence of a codimension-2 point is demonstrated. The effects of the Hartmann number on the fluid flow intensity and heat and mass transfer characteristics are also discussed. |
| first_indexed | 2024-12-10T17:33:58Z |
| format | Article |
| id | doaj.art-a96bea2825d942238883a59dbdfdd765 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-10T17:33:58Z |
| publishDate | 2016-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-a96bea2825d942238883a59dbdfdd7652022-12-22T01:39:35ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-0192741749.Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and MassMohamed Bourich0M. Hasnaoui1Abdelkhalek Amahmid2Mohammed Er-Raki3A. Lagra4Mahmoud Mamou5UCA/ENSA, MarrakeshCadi Ayyad University, Faculty of Sciences Semlalia, LMFE, Marrakesh, MoroccoUCA/FSSM, MarrakeshUniversity Ibn ZohrUniversity Cadi Ayyad, Marrakech, MoroccoAL/IAR, NRC Canada, OttawaCombined effects of magnetic field and thermodiffusion (Soret effect) on natural convection within an electrically conducting binary mixture, confined in a horizontal sparsely packed porous enclosure subjected to uniform fluxes of heat and mass, is studied analytically and numerically. In the limit of a shallow enclosure, an analytical solution is derived using the parallel flow approximation. The approximate analytical solution is validated against the numerical solution of the full governing equations using a finite difference method. Interesting flow bifurcation phenomena are obtained herein and discussed. The linear stability theory and the parallel flow concept are used to determine explicitly the thresholds for the onset of stationary,subcritical and oscillatory convections as functions of the governing parameters. The obtained results showed the existence of different regions in the (N, Le) plane that correspond to different parallel flow behaviors. The number and the locations of these regions depend on the Soret parameter. The existence of a codimension-2 point is demonstrated. The effects of the Hartmann number on the fluid flow intensity and heat and mass transfer characteristics are also discussed.http://jafmonline.net/JournalArchive/download?file_ID=39449&issue_ID=225Soret convection; Magnetic field; Linear stability; Thresholds of instabilities; Stability diagram. |
| spellingShingle | Mohamed Bourich M. Hasnaoui Abdelkhalek Amahmid Mohammed Er-Raki A. Lagra Mahmoud Mamou Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass Journal of Applied Fluid Mechanics Soret convection; Magnetic field; Linear stability; Thresholds of instabilities; Stability diagram. |
| title | Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass |
| title_full | Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass |
| title_fullStr | Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass |
| title_full_unstemmed | Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass |
| title_short | Soret Convection in a Shallow Porous Cavity under a Magnetic Field and Submitted to Uniform Fluxes of Heat and Mass |
| title_sort | soret convection in a shallow porous cavity under a magnetic field and submitted to uniform fluxes of heat and mass |
| topic | Soret convection; Magnetic field; Linear stability; Thresholds of instabilities; Stability diagram. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=39449&issue_ID=225 |
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