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Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium.


Citation

Mohd Mokhtar, Nor Fadzillah and Md. Arifin, Norihan and Nazar, Roslinda and Ismail, Fudziah and Suleiman, Mohamed (2010) Effect of intenal heat generation on marangoni convection in a fluid saturated porous medium. International Journal of Applied Mathematics and Statistics, 19 (10). pp. 112-122. ISSN 0973-1377

Abstract

Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a fluid saturated porous medium bounded below by a insulating rigid surface and above by a non-deformable free surface. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The conditions for the onset of instability occurring via steady convective modes are solved exactly. The asymptotic solution of the long wavelength is also obtained using regular perturbation technique with wave number as a perturbation parameter. It is observed that the critical Marangoni number decreases with an increase in the dimensionless heat source strength.


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Additional Metadata

Item Type: Article
Subject: Marangoni effect.
Subject: Porous materials.
Subject: Heat - Convection.
Divisions: Faculty of Science
Publisher: CESER Publications
Keywords: Marangoni convection.
Depositing User: Najwani Amir Sariffudin
Date Deposited: 15 Dec 2011 01:43
Last Modified: 21 Oct 2015 00:51
URI: http://psasir.upm.edu.my/id/eprint/14261
Statistic Details: View Download Statistic

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