On competition between modes of the onset of Marangoni convection with free-slip bottom under magnetic field
In this paper we use a numerical technique to analyze the onset of Marangoni convection in a horizontal layer of electrically-conducting fluid heated from below and cooled from above in the presence of a uniform vertical magnetic field. The top surface of a fluid is deformably free and the bottom...
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| Format: | Conference or Workshop Item |
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2007
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| author | Md. Arifin, Norihan Rosali, Haliza |
| author_facet | Md. Arifin, Norihan Rosali, Haliza |
| author_sort | Md. Arifin, Norihan |
| collection | UPM |
| description | In this paper we use a numerical technique to analyze the onset of Marangoni convection in a horizontal
layer of electrically-conducting fluid heated from below and cooled from above in the presence of a uniform vertical
magnetic field. The top surface of a fluid is deformably free and the bottom boundary are rigid and free-slip. 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 Hartmann , Crispation and Bond numbers. In particular we present an
example of a situation in which there is competition between modes at the onset of convection. |
| first_indexed | 2024-03-06T07:15:36Z |
| format | Conference or Workshop Item |
| id | upm.eprints-8571 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-03-06T07:15:36Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | upm.eprints-85712015-01-26T04:42:08Z http://psasir.upm.edu.my/id/eprint/8571/ On competition between modes of the onset of Marangoni convection with free-slip bottom under magnetic field Md. Arifin, Norihan Rosali, Haliza In this paper we use a numerical technique to analyze the onset of Marangoni convection in a horizontal layer of electrically-conducting fluid heated from below and cooled from above in the presence of a uniform vertical magnetic field. The top surface of a fluid is deformably free and the bottom boundary are rigid and free-slip. 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 Hartmann , Crispation and Bond numbers. In particular we present an example of a situation in which there is competition between modes at the onset of convection. 2007 Conference or Workshop Item PeerReviewed Md. Arifin, Norihan and Rosali, Haliza (2007) On competition between modes of the onset of Marangoni convection with free-slip bottom under magnetic field. In: 12th WSEAS International Conference on Applied Mathematics, 29-31 Dec. 2007, Cairo, Egypt. (pp. 87-91). Marangoni effect Heat - Convection |
| spellingShingle | Marangoni effect Heat - Convection Md. Arifin, Norihan Rosali, Haliza On competition between modes of the onset of Marangoni convection with free-slip bottom under magnetic field |
| title | On competition between modes of the onset of Marangoni
convection with free-slip bottom under magnetic field |
| title_full | On competition between modes of the onset of Marangoni
convection with free-slip bottom under magnetic field |
| title_fullStr | On competition between modes of the onset of Marangoni
convection with free-slip bottom under magnetic field |
| title_full_unstemmed | On competition between modes of the onset of Marangoni
convection with free-slip bottom under magnetic field |
| title_short | On competition between modes of the onset of Marangoni
convection with free-slip bottom under magnetic field |
| title_sort | on competition between modes of the onset of marangoni convection with free slip bottom under magnetic field |
| topic | Marangoni effect Heat - Convection |
| work_keys_str_mv | AT mdarifinnorihan oncompetitionbetweenmodesoftheonsetofmarangoniconvectionwithfreeslipbottomundermagneticfield AT rosalihaliza oncompetitionbetweenmodesoftheonsetofmarangoniconvectionwithfreeslipbottomundermagneticfield |