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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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Main Authors: Md. Arifin, Norihan, Rosali, Haliza
Format: Conference or Workshop Item
Published: 2007
Online Access:http://psasir.upm.edu.my/id/eprint/8571/
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spelling my.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).
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
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.
format Conference or Workshop Item
author Md. Arifin, Norihan
Rosali, Haliza
spellingShingle Md. Arifin, Norihan
Rosali, Haliza
On competition between modes of the onset of Marangoni convection with free-slip bottom under magnetic field
author_facet Md. Arifin, Norihan
Rosali, Haliza
author_sort Md. Arifin, Norihan
title 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_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_sort on competition between modes of the onset of marangoni convection with free-slip bottom under magnetic field
publishDate 2007
url http://psasir.upm.edu.my/id/eprint/8571/
_version_ 1643824055966498816
score 13.160551

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