Marangoni convection in a liquid saturated porous medium with internal heat generation.
Linear stability analysis was used to investigate the effect of internal heat generation on the stability of the Marangoni convection for a liquid saturated porous medium. The lower surface of the layer is assumed to be a perfect conductor and the upper surface is nondeformed and subjected to a temp...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English English |
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Pushpa Publishing House
2009
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15548/ http://psasir.upm.edu.my/id/eprint/15548/1/Marangoni%20convection%20in%20a%20liquid%20saturated%20porous%20medium%20with%20internal%20heat%20generation.pdf |
| _version_ | 1848842708542554112 |
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| author | Md. Arifin, Norihan Mohd Mokhtar, Nor Fadzillah Suleiman, Mohamed Ismail, Fudziah Nazar, Roslinda |
| author_facet | Md. Arifin, Norihan Mohd Mokhtar, Nor Fadzillah Suleiman, Mohamed Ismail, Fudziah Nazar, Roslinda |
| author_sort | Md. Arifin, Norihan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Linear stability analysis was used to investigate the effect of internal heat generation on the stability of the Marangoni convection for a liquid saturated porous medium. The lower surface of the layer is assumed to be a perfect conductor and the upper surface is nondeformed and subjected to a temperature-dependent surface tension. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. The critical values of the Marangoni numbers for the onset of Marangoni convection are calculated and the latter is found to be critically dependent on the internal heating and Darcy number. The results show that the internal heat generation always has a destabilizing effect on the Marangoni convection in the porous medium. |
| first_indexed | 2025-11-15T08:03:26Z |
| format | Article |
| id | upm-15548 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:03:26Z |
| publishDate | 2009 |
| publisher | Pushpa Publishing House |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-155482015-10-22T23:32:25Z http://psasir.upm.edu.my/id/eprint/15548/ Marangoni convection in a liquid saturated porous medium with internal heat generation. Md. Arifin, Norihan Mohd Mokhtar, Nor Fadzillah Suleiman, Mohamed Ismail, Fudziah Nazar, Roslinda Linear stability analysis was used to investigate the effect of internal heat generation on the stability of the Marangoni convection for a liquid saturated porous medium. The lower surface of the layer is assumed to be a perfect conductor and the upper surface is nondeformed and subjected to a temperature-dependent surface tension. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. The critical values of the Marangoni numbers for the onset of Marangoni convection are calculated and the latter is found to be critically dependent on the internal heating and Darcy number. The results show that the internal heat generation always has a destabilizing effect on the Marangoni convection in the porous medium. Pushpa Publishing House 2009 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15548/1/Marangoni%20convection%20in%20a%20liquid%20saturated%20porous%20medium%20with%20internal%20heat%20generation.pdf Md. Arifin, Norihan and Mohd Mokhtar, Nor Fadzillah and Suleiman, Mohamed and Ismail, Fudziah and Nazar, Roslinda (2009) Marangoni convection in a liquid saturated porous medium with internal heat generation. Far East Journal of Mathematical Sciences, 34 (2). pp. 269-283. ISSN 0972-0871 http://www.pphmj.com/article.php?act=art_abstract_show&art_id=3761&flag=next Marangoni effect. Fluid dynamics. English |
| spellingShingle | Marangoni effect. Fluid dynamics. Md. Arifin, Norihan Mohd Mokhtar, Nor Fadzillah Suleiman, Mohamed Ismail, Fudziah Nazar, Roslinda Marangoni convection in a liquid saturated porous medium with internal heat generation. |
| title | Marangoni convection in a liquid saturated porous medium with internal heat generation. |
| title_full | Marangoni convection in a liquid saturated porous medium with internal heat generation. |
| title_fullStr | Marangoni convection in a liquid saturated porous medium with internal heat generation. |
| title_full_unstemmed | Marangoni convection in a liquid saturated porous medium with internal heat generation. |
| title_short | Marangoni convection in a liquid saturated porous medium with internal heat generation. |
| title_sort | marangoni convection in a liquid saturated porous medium with internal heat generation. |
| topic | Marangoni effect. Fluid dynamics. |
| url | http://psasir.upm.edu.my/id/eprint/15548/ http://psasir.upm.edu.my/id/eprint/15548/ http://psasir.upm.edu.my/id/eprint/15548/1/Marangoni%20convection%20in%20a%20liquid%20saturated%20porous%20medium%20with%20internal%20heat%20generation.pdf |