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Journal of Porous Media

ISSN for PRINT: 1091-028X

Institutional price:	$713.00
Issues per year:	8

Best Paper Award Selection - Editorial Board Site

2007, Volume10

126 pages

Issue price - $99.00

Nonlinear Convection in a Sparsely Packed Porous Medium Due to Compositional and Thermal Buoyancy

S. G. Tagare
Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia

A. Benerji Babu
Department of Mathematics, U. C. S., Osmania University, Hyderabad 5000 07, India

ABSTRACT

Soret-driven convection in a two-component fluid layer subject to vertical temperature and concentration gradients is investigated analytically and numerically. The Darcy-Lapwood-Brinkman model for the momentum equation and the Boussinesq approximation is used to study the linear and weakly nonlinear properties of convection in two-component fluid in a sparsely packed porous medium due to compositional and thermal buoyancy. We have derived a nonlinear twodimensional Landau-Ginzburg equation with real coefficients near the onset of stationary convection at the supercritical pitchfork bifurcation. We have studied the Nusselt number contribution from Landau-Ginzburg equation at the onset of stationary convection. Two coupled nonlinear one-dimensional Landau-Ginzburg type equations with complex coefficients near the onset of oscillatory convection at the supercritical Hopf bifurcation are derived and the stability regions of travelling and standing waves are discussed.