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

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 Statistic, 19 (10). pp. 112-122. ISSN 0973-1377

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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.

Item Type:Article
Keyword:Marangoni convection.
Subject:Marangoni effect.
Subject:Porous materials.
Subject:Heat - Convection.
Faculty or Institute:Faculty of Science
Publisher:CESER Publications
ID Code:14261
Deposited By: Najwani Amir Sariffudin
Deposited On:15 Dec 2011 01:43
Last Modified:15 Dec 2011 01:43

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