IJPAM: Volume 67, No. 4 (2011)
MARANGONI CONVECTION IN SUPERPOSED LAYERS
OF FLUID AND SATURATED POROUS MEDIUM



F. Ismail



Institute for Mathematical Research
Faculty of Science
University Putra Malaysia
Serdang, Selangor Darul Ehsan, 43400, MALAYSIA


Faculty of Science and Technology
University Kebangsaan Malaysia
Bangi, Selangor Darul Ehsan, 43600, MALAYSIA
Abstract. Linear stability analysis is applied to investigate the effect of
internal heat generation on Marangoni convection in a two-layer
system comprising an incompressible fluid-saturated porous layer
over which lies a layer of the same fluid. The lower rigid surface
and the upper non-deformable surface are assumed to be perfectly
insulating. The critical eigenvalues are solved exactly and the
asymptotic solution of the long wavelength is also obtained using
regular perturbation technique. The effect of variation of
different physical parameters on the onset of Marangoni convection
in the presence of heat generation is investigated in details.
The internal heating in the fluid layer and the porous layer are
found to decrease the critical conditions.
Received: December 16, 2010
AMS Subject Classification: 76E06, 76E25
Key Words and Phrases: Marangoni convection, heat generation, porous medium
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 4