Effect of a deformable free surface on the marangoni convection in a horizontal porous layer permeated by a fluid layer in the presence of internal heat generation
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CitationMohd Mokhtar, N. F., Md Arifin, N., Nazar, R., İsmail, F. ve Pop Ioan. (2009). Effect of a deformable free surface on the marangoni convection in a horizontal porous layer permeated by a fluid layer in the presence of internal heat generation. Maltepe Üniversitesi. s. 304.
The onset of Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid in the presence of internal heat generation is investigated theoretically. The upper free surface is assumed to be deformable and the lower boundary is conducting to temperature perturbation. The Beavers-Joseph condition is employed at the interface and the Forchheimer-extended-Darcy equation is used to describe the flow regime in the porous medium. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problems are solved exactly. We found that an increase of the surface deflection effect that is Crispation number, Cr; destabilize the system. However an increase of the Bond number and the decrease of the Darcy number will help to slow the process of destabilizing.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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