Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium.
Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface a...
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| Format: | Article |
| Language: | English English |
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Academic Publications
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24746/ http://psasir.upm.edu.my/id/eprint/24746/1/Effect%20of%20heat%20generation%20on%20the%20onset%20of%20Marangoni%20convection%20in%20superposed%20layers%20of%20fluid%20and%20saturated%20porous%20medium.pdf |
| _version_ | 1848845120600801280 |
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| 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 two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions. |
| first_indexed | 2025-11-15T08:41:46Z |
| format | Article |
| id | upm-24746 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:41:46Z |
| publishDate | 2011 |
| publisher | Academic Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-247462015-10-16T08:54:00Z http://psasir.upm.edu.my/id/eprint/24746/ Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and 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 two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions. Academic Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24746/1/Effect%20of%20heat%20generation%20on%20the%20onset%20of%20Marangoni%20convection%20in%20superposed%20layers%20of%20fluid%20and%20saturated%20porous%20medium.pdf Mohd Mokhtar, Nor Fadzillah and Md. Arifin, Norihan and Nazar, Roslinda and Ismail, Fudziah and Suleiman, Mohamed (2011) Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. International Journal of Pure and Applied Mathematics, 67 (4). pp. 387-405. ISSN 1311-8080 http://www.acadpubl.eu/ English |
| spellingShingle | Mohd Mokhtar, Nor Fadzillah Md. Arifin, Norihan Nazar, Roslinda Ismail, Fudziah Suleiman, Mohamed Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. |
| title | Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. |
| title_full | Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. |
| title_fullStr | Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. |
| title_full_unstemmed | Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. |
| title_short | Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. |
| title_sort | effect of heat generation on the onset of marangoni convection in superposed layers of fluid and saturated porous medium. |
| url | http://psasir.upm.edu.my/id/eprint/24746/ http://psasir.upm.edu.my/id/eprint/24746/ http://psasir.upm.edu.my/id/eprint/24746/1/Effect%20of%20heat%20generation%20on%20the%20onset%20of%20Marangoni%20convection%20in%20superposed%20layers%20of%20fluid%20and%20saturated%20porous%20medium.pdf |