RESEARCH ARTICLE
Combined Effect of Non-Uniform Temperature Gradient and Magnetic Field on Bénard-Marangoni Convection with a Constant Heat Flux
Siti Suzilliana Putri Mohamed Isa1, Norihan Md. Arifin*, 1, Roslinda Mohd Nazar2, Mohd Noor Saad1
1 Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang,
Selangor, Malaysia
2 School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM
Bangi, Selangor, Malaysia
Article Information
Identifiers and Pagination:
Year: 2010Volume: 3
First Page: 59
Last Page: 64
Publisher Id: TOAEJ-3-59
DOI: 10.2174/1874146001003010059
Article History:
Received Date: 15/07/2009Revision Received Date: 04/06/2010
Acceptance Date: 22/06/2010
Electronic publication date: 13/10/2010
Collection year: 2010
© 2010 Isa et al.
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
This paper studied the problem of Bénard-Marangoni convection in a horizontal fluid layer heated from below with non-uniform temperature gradient under magnetic field. A linear stability analysis is performed to undertake a detail investigation. The eigenvalues are obtained for both adiabatic boundaries. The influence of various parameters on the onset of convection has been analyzed. Six non-uniform basic temperature profiles are considered and some general conclusions about their destabilizing effects are presented.
Keywords: Bénard-Marangoni Convection, magnetic field, non-uniform temperature.
