Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous Medium
The thermosolutal convection in a couple-stress fluid layer heated and soluted from below in porous medium is considered to include the effects of uniform vertical magnetic field and uniform vertical rotation. Following the linearized stability theory and normal mode analysis, the dispersion relatio...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Isfahan University of Technology
2012-01-01
|
| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=26909&issue_ID=210 |
| _version_ | 1818827154142527488 |
|---|---|
| author | P. Kumar |
| author_facet | P. Kumar |
| author_sort | P. Kumar |
| collection | DOAJ |
| description | The thermosolutal convection in a couple-stress fluid layer heated and soluted from below in porous medium is considered to include the effects of uniform vertical magnetic field and uniform vertical rotation. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, the stable solute gradient and rotation have stabilizing effects on the system. In the presence of rotation, the medium permeability has a destabilizing (or stabilizing) effect whereas magnetic field and couple-stress parameter have stabilizing (or destabilizing) effect on the system. On the other hand, in the absence of rotation, medium permeability has a destabilizing effect whereas magnetic field and couple-stress parameter have a stabilizing effect. The dispersion relation is also analyzed numerically. The stable solute gradient, rotation and magnetic field introduce oscillatory modes in the system, which were nonexistent in their absence. A condition for the system to be stable is obtained by using Rayleigh-Ritz inequality |
| first_indexed | 2024-12-19T00:39:02Z |
| format | Article |
| id | doaj.art-c93e423af34a4908aa585d206f91739f |
| institution | Directory Open Access Journal |
| issn | 1735-3645 |
| language | English |
| last_indexed | 2024-12-19T00:39:02Z |
| publishDate | 2012-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-c93e423af34a4908aa585d206f91739f2022-12-21T20:44:40ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-36452012-01-01544552.Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous MediumP. Kumar0Himachal Pradesh University, IndiThe thermosolutal convection in a couple-stress fluid layer heated and soluted from below in porous medium is considered to include the effects of uniform vertical magnetic field and uniform vertical rotation. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, the stable solute gradient and rotation have stabilizing effects on the system. In the presence of rotation, the medium permeability has a destabilizing (or stabilizing) effect whereas magnetic field and couple-stress parameter have stabilizing (or destabilizing) effect on the system. On the other hand, in the absence of rotation, medium permeability has a destabilizing effect whereas magnetic field and couple-stress parameter have a stabilizing effect. The dispersion relation is also analyzed numerically. The stable solute gradient, rotation and magnetic field introduce oscillatory modes in the system, which were nonexistent in their absence. A condition for the system to be stable is obtained by using Rayleigh-Ritz inequalityhttp://jafmonline.net/JournalArchive/download?file_ID=26909&issue_ID=210Thermosolutal convection Couple-stress fluid Porous medium Uniform vertical rotation Uniform vertical magnetic field |
| spellingShingle | P. Kumar Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous Medium Journal of Applied Fluid Mechanics Thermosolutal convection Couple-stress fluid Porous medium Uniform vertical rotation Uniform vertical magnetic field |
| title | Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous Medium |
| title_full | Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous Medium |
| title_fullStr | Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous Medium |
| title_full_unstemmed | Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous Medium |
| title_short | Thermosolutal Magneto - Rotatory Convection In Couple - Stress Fluid through Porous Medium |
| title_sort | thermosolutal magneto rotatory convection in couple stress fluid through porous medium |
| topic | Thermosolutal convection Couple-stress fluid Porous medium Uniform vertical rotation Uniform vertical magnetic field |
| url | http://jafmonline.net/JournalArchive/download?file_ID=26909&issue_ID=210 |
| work_keys_str_mv | AT pkumar thermosolutalmagnetorotatoryconvectionincouplestressfluidthroughporousmedium |