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On competition between modes of the onset of Marangoni convection with free-slip bottom under magnetic field


Citation

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).

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Subject: Marangoni effect
Subject: Heat - Convection
Divisions: Faculty of Science
Keywords: Marangoni convection; Magnetic field; Free-slip
Depositing User: Samsida Samsudin
Date Deposited: 01 Dec 2010 08:35
Last Modified: 26 Jan 2015 12:42
URI: http://psasir.upm.edu.my/id/eprint/8571
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