Marangoni convection in a liquid saturated porous medium with internal heat generation.

Md. Arifin, Norihan and Mohd Mokhtar, Nor Fadzillah and Suleiman, Mohamed and Ismail, Fudziah and Nazar, Roslinda (2009) Marangoni convection in a liquid saturated porous medium with internal heat generation. Far East Journal of Mathematical Science, 34 (2). pp. 269-283. ISSN 0972-0871

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Abstract

Linear stability analysis was used to investigate the effect of internal heat generation on the stability of the Marangoni convection for a liquid saturated porous medium. The lower surface of the layer is assumed to be a perfect conductor and the upper surface is nondeformed and subjected to a temperature-dependent surface tension. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. 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 internal heating and Darcy number. The results show that the internal heat generation always has a destabilizing effect on the Marangoni convection in the porous medium.

Item Type:Article
Keyword:Marangoni convection; Heat generation; Porous medium; Convective instability.
Subject:Marangoni effect.
Subject:Fluid dynamics.
Faculty or Institute:Faculty of Science
Publisher:Pushpa Publishing House
ID Code:15548
Deposited By: Najwani Amir Sariffudin
Deposited On:15 Dec 2011 01:11
Last Modified:15 Dec 2011 01:11

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