Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface.
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 upper free surface is deformable and is subject to a gener...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English English |
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Academic Journals
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24747/1/Effect%20of%20internal%20heat%20generation%20on%20Marangoni%20convection%20in%20a%20superposed%20fluid.pdf |
| _version_ | 1796970621491478528 |
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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 |
| collection | UPM |
| 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 upper free surface is deformable and is subject to a general thermal condition, while the lower boundary is rigid and is fixed at a constant temperature (isothermal) or a constant heat flux. The Beavers-Joseph condition is employed at the interface and the Forchheimerextended- Darcy equation is employed to describe the flow regime in the porous medium. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. For both the upper and lower boundaries fixed at a constant heat flux, the analytical asymptotic solution of long wavelength is obtained using regular perturbation technique. It is observed that the critical Marangoni number decreases with an increase in the dimensionless heat source strength. However, an increase of the Bond number and the decrease of the Darcy number will help to slow the process of destabilizing the system. |
| first_indexed | 2024-03-06T08:00:46Z |
| format | Article |
| id | upm.eprints-24747 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:00:46Z |
| publishDate | 2011 |
| publisher | Academic Journals |
| record_format | dspace |
| spelling | upm.eprints-247472015-10-16T06:23:29Z http://psasir.upm.edu.my/id/eprint/24747/ Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. 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 upper free surface is deformable and is subject to a general thermal condition, while the lower boundary is rigid and is fixed at a constant temperature (isothermal) or a constant heat flux. The Beavers-Joseph condition is employed at the interface and the Forchheimerextended- Darcy equation is employed to describe the flow regime in the porous medium. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. For both the upper and lower boundaries fixed at a constant heat flux, the analytical asymptotic solution of long wavelength is obtained using regular perturbation technique. It is observed that the critical Marangoni number decreases with an increase in the dimensionless heat source strength. However, an increase of the Bond number and the decrease of the Darcy number will help to slow the process of destabilizing the system. Academic Journals 2011-10-09 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24747/1/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 (2011) Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. International Journal of the Physical Sciences, 6 (23). pp. 5550-5563. ISSN 1992-1950 http://academicjournals.org English |
| spellingShingle | Mohd Mokhtar, Nor Fadzillah Md. Arifin, Norihan Nazar, Roslinda Ismail, Fudziah Suleiman, Mohamed Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. |
| title | Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. |
| title_full | Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. |
| title_fullStr | Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. |
| title_full_unstemmed | Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. |
| title_short | Effect of internal heat generation on Marangoni convection in a superposed fluid-porous layer with deformable free surface. |
| title_sort | effect of internal heat generation on marangoni convection in a superposed fluid porous layer with deformable free surface |
| url | http://psasir.upm.edu.my/id/eprint/24747/1/Effect%20of%20internal%20heat%20generation%20on%20Marangoni%20convection%20in%20a%20superposed%20fluid.pdf |
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