Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium.
Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a fluid saturated porous medium bounded below by a insulating rigid surface and above by a non-deformable free surface. The Darcy law and the Brinkman model are used to describe the...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
CESER Publications
2010
|
| Subjects: | |
| Online Access: | http://psasir.upm.edu.my/id/eprint/14261/ http://psasir.upm.edu.my/id/eprint/14261/1/Effect%20of%20internal%20heat%20generation%20on%20Marangoni%20convection%20in%20a%20superposed%20fluid.pdf |
| _version_ | 1848842344670953472 |
|---|---|
| author | Mohd Mokhtar, Nor Fadzillah Md. Arifin, Norihan Nazar, Roslinda Ismail, Fudziah Suleiman, Mohamed |
| author_facet | Mohd Mokhtar, Nor Fadzillah Md. Arifin, Norihan Nazar, Roslinda Ismail, Fudziah Suleiman, Mohamed |
| author_sort | Mohd Mokhtar, Nor Fadzillah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a fluid saturated porous medium bounded below by a insulating rigid surface and above by a non-deformable free surface. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The conditions for the onset of instability occurring via steady convective modes are solved exactly. The asymptotic solution of the long wavelength is also obtained using regular perturbation technique with wave number as a perturbation parameter. It is observed that the critical Marangoni number decreases with an increase in the dimensionless heat source strength. |
| first_indexed | 2025-11-15T07:57:39Z |
| format | Article |
| id | upm-14261 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:57:39Z |
| publishDate | 2010 |
| publisher | CESER Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-142612015-10-21T00:51:22Z http://psasir.upm.edu.my/id/eprint/14261/ Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. Mohd Mokhtar, Nor Fadzillah Md. Arifin, Norihan Nazar, Roslinda Ismail, Fudziah Suleiman, Mohamed Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a fluid saturated porous medium bounded below by a insulating rigid surface and above by a non-deformable free surface. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The conditions for the onset of instability occurring via steady convective modes are solved exactly. The asymptotic solution of the long wavelength is also obtained using regular perturbation technique with wave number as a perturbation parameter. It is observed that the critical Marangoni number decreases with an increase in the dimensionless heat source strength. CESER Publications 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/14261/1/Effect%20of%20internal%20heat%20generation%20on%20Marangoni%20convection%20in%20a%20superposed%20fluid.pdf Mohd Mokhtar, Nor Fadzillah and Md. Arifin, Norihan and Nazar, Roslinda and Ismail, Fudziah and Suleiman, Mohamed (2010) Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. International Journal of Applied Mathematics and Statistics, 19 (10). pp. 112-122. ISSN 0973-1377 http://ceser.in/ceserp/index.php/ijamas/article/view/226 Marangoni effect. Porous materials. Heat - Convection. English |
| spellingShingle | Marangoni effect. Porous materials. Heat - Convection. Mohd Mokhtar, Nor Fadzillah Md. Arifin, Norihan Nazar, Roslinda Ismail, Fudziah Suleiman, Mohamed Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. |
| title | Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. |
| title_full | Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. |
| title_fullStr | Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. |
| title_full_unstemmed | Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. |
| title_short | Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. |
| title_sort | effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. |
| topic | Marangoni effect. Porous materials. Heat - Convection. |
| url | http://psasir.upm.edu.my/id/eprint/14261/ http://psasir.upm.edu.my/id/eprint/14261/ http://psasir.upm.edu.my/id/eprint/14261/1/Effect%20of%20internal%20heat%20generation%20on%20Marangoni%20convection%20in%20a%20superposed%20fluid.pdf |