Marangoni convection in a fluid layer overlying a layer of an anisotropic porous layer with deformable free surface
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2011-11-08T11:08:34Z
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Abstract
The linear stability analysis of Marangoni convection in a composite system comprised of an incompressible
fluid-saturated anisotropic porous layer underlying a layer of same fluid is considered. The upper fluid surface,
free to atmosphere is considered to be deformable and subjected to temperature-dependent surface tension. The
fluid flow in the porous layer is governed by the Darcy equation and Beavers-Joseph condition is employed at
the interface between the two layers. The resulting eigen value problem is solved exactly. It is found that the
Crispation number, Bond number, depth of the relative layers, mechanical and thermal anisotropy parameters
have a profound effect on the stability of the system. Decreasing the Crispation number and mechanical
anisotropy parameter and increasing the Bond number and thermal anisotropy parameter leads to stabilization of
the system. Also, the effect of the ratio of the fluid to porous layer thickness along with the other various
physical parameters on the control of convection is analyzed in detail.
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Marangoni convection in a fluid layer overlying a layer of an anisotropic porous layer with deformable free surface, International Journal of Engineering Science and Technology, Suma S. P, Gangadharaiah Y. H, Indira R