Boundary effect on the onset of Marangoni convection with internal heat generation
he onset of Marangoni convection in a horizontal fluid layer with internal heat generation overlying a solid layer heated from below is studied. The upper free surface of a fluid is nondeformable and the bottom boundary are rigid and no-slip. The resulting eigenvalue problem is solved exactly. The c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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World Academy of Science, Engineering and Technology
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/13438/ http://psasir.upm.edu.my/id/eprint/13438/1/Boundary%20effect%20on%20the%20onset%20of%20Marangoni%20convection%20with%20internal%20heat%20generation.pdf |
| _version_ | 1848842112533004288 |
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| author | Md. Arifin, Norihan Bachok @ Lati, Norfifah |
| author_facet | Md. Arifin, Norihan Bachok @ Lati, Norfifah |
| author_sort | Md. Arifin, Norihan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | he onset of Marangoni convection in a horizontal fluid layer with internal heat generation overlying a solid layer heated from below is studied. The upper free surface of a fluid is nondeformable and the bottom boundary are rigid and no-slip. 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, depth ratio and conductivity ratio. The effects of the thermal conductivity and the thickness of the solid plate on the onset of convective instability with internal heating are studied in detail. |
| first_indexed | 2025-11-15T07:53:57Z |
| format | Article |
| id | upm-13438 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:53:57Z |
| publishDate | 2008 |
| publisher | World Academy of Science, Engineering and Technology |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-134382019-11-01T00:48:47Z http://psasir.upm.edu.my/id/eprint/13438/ Boundary effect on the onset of Marangoni convection with internal heat generation Md. Arifin, Norihan Bachok @ Lati, Norfifah he onset of Marangoni convection in a horizontal fluid layer with internal heat generation overlying a solid layer heated from below is studied. The upper free surface of a fluid is nondeformable and the bottom boundary are rigid and no-slip. 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, depth ratio and conductivity ratio. The effects of the thermal conductivity and the thickness of the solid plate on the onset of convective instability with internal heating are studied in detail. World Academy of Science, Engineering and Technology 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13438/1/Boundary%20effect%20on%20the%20onset%20of%20Marangoni%20convection%20with%20internal%20heat%20generation.pdf Md. Arifin, Norihan and Bachok @ Lati, Norfifah (2008) Boundary effect on the onset of Marangoni convection with internal heat generation. International Journal of Mathematical, Physical and Engineering Sciences, 38. pp. 20-23. ISSN 1307-7465 |
| spellingShingle | Md. Arifin, Norihan Bachok @ Lati, Norfifah Boundary effect on the onset of Marangoni convection with internal heat generation |
| title | Boundary effect on the onset of Marangoni convection with internal heat generation |
| title_full | Boundary effect on the onset of Marangoni convection with internal heat generation |
| title_fullStr | Boundary effect on the onset of Marangoni convection with internal heat generation |
| title_full_unstemmed | Boundary effect on the onset of Marangoni convection with internal heat generation |
| title_short | Boundary effect on the onset of Marangoni convection with internal heat generation |
| title_sort | boundary effect on the onset of marangoni convection with internal heat generation |
| url | http://psasir.upm.edu.my/id/eprint/13438/ http://psasir.upm.edu.my/id/eprint/13438/1/Boundary%20effect%20on%20the%20onset%20of%20Marangoni%20convection%20with%20internal%20heat%20generation.pdf |