Magneto-rotatory compressible couple-stress fluid heated from below in porous medium
The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-03-01
|
| Series: | Studia Geotechnica et Mechanica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/sgem.2016.38.issue-1/sgem-2016-0006/sgem-2016-0006.xml?format=INT |
| _version_ | 1818512687810740224 |
|---|---|
| author | Mehta Chander Bhan |
| author_facet | Mehta Chander Bhan |
| author_sort | Mehta Chander Bhan |
| collection | DOAJ |
| description | The study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the effects of rotation, magnetic field, couple stress parameter and medium permeability have been examined. For a stationary convection, the rotation postpones the onset of convection in a couple stress fluid heated from below in a porous medium in the presence of a magnetic field. Whereas, the magnetic field and couple stress postpones and hastens the onset of convection in the presence of rotation and the medium permeability hastens and postpones the onset of convection with conditions on Taylor number. Further the oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence, and hence the principle of exchange stands valid. The sufficient conditions for nonexistence of over stability are also obtained. |
| first_indexed | 2024-12-10T23:50:26Z |
| format | Article |
| id | doaj.art-b0fe663c5d244147804269541632cde7 |
| institution | Directory Open Access Journal |
| issn | 0137-6365 2083-831X |
| language | English |
| last_indexed | 2024-12-10T23:50:26Z |
| publishDate | 2016-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Studia Geotechnica et Mechanica |
| spelling | doaj.art-b0fe663c5d244147804269541632cde72022-12-22T01:28:47ZengSciendoStudia Geotechnica et Mechanica0137-63652083-831X2016-03-01381556310.1515/sgem-2016-0006sgem-2016-0006Magneto-rotatory compressible couple-stress fluid heated from below in porous mediumMehta Chander Bhan0Department of Mathematics, Centre of Excellence, Sanjauli, Shimla, IndiaThe study is aimed at analysing thermal convection in a compressible couple stress fluid in a porous medium in the presence of rotation and magnetic field. After linearizing the relevant equations, the perturbation equations are analysed in terms of normal modes. A dispersion relation governing the effects of rotation, magnetic field, couple stress parameter and medium permeability have been examined. For a stationary convection, the rotation postpones the onset of convection in a couple stress fluid heated from below in a porous medium in the presence of a magnetic field. Whereas, the magnetic field and couple stress postpones and hastens the onset of convection in the presence of rotation and the medium permeability hastens and postpones the onset of convection with conditions on Taylor number. Further the oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence, and hence the principle of exchange stands valid. The sufficient conditions for nonexistence of over stability are also obtained.http://www.degruyter.com/view/j/sgem.2016.38.issue-1/sgem-2016-0006/sgem-2016-0006.xml?format=INTcompressible couple-stress fluidthermal convectionporous mediumrotationmagnetic field |
| spellingShingle | Mehta Chander Bhan Magneto-rotatory compressible couple-stress fluid heated from below in porous medium Studia Geotechnica et Mechanica compressible couple-stress fluid thermal convection porous medium rotation magnetic field |
| title | Magneto-rotatory compressible couple-stress fluid heated from below in porous medium |
| title_full | Magneto-rotatory compressible couple-stress fluid heated from below in porous medium |
| title_fullStr | Magneto-rotatory compressible couple-stress fluid heated from below in porous medium |
| title_full_unstemmed | Magneto-rotatory compressible couple-stress fluid heated from below in porous medium |
| title_short | Magneto-rotatory compressible couple-stress fluid heated from below in porous medium |
| title_sort | magneto rotatory compressible couple stress fluid heated from below in porous medium |
| topic | compressible couple-stress fluid thermal convection porous medium rotation magnetic field |
| url | http://www.degruyter.com/view/j/sgem.2016.38.issue-1/sgem-2016-0006/sgem-2016-0006.xml?format=INT |
| work_keys_str_mv | AT mehtachanderbhan magnetorotatorycompressiblecouplestressfluidheatedfrombelowinporousmedium |