Effect of Centrifugal Force on a Porous Anisotropic Medium in Rotation, Saturated by a Non-Newtonian Fluid
Vodounnou Edmond Claude *
Laboratoire d’Energétique et de Mécanique Appliquées (LEMA), Ecole Polytechnique d’Abomey-Calavi (EPAC), 01 BP 2009 Cotonou /Université d’Abomey-Calavi, Bénin.
Ahouannou Clément
Laboratoire d’Energétique et de Mécanique Appliquées (LEMA), Ecole Polytechnique d’Abomey-Calavi (EPAC), 01 BP 2009 Cotonou /Université d’Abomey-Calavi, Bénin.
Semassou Guy Clarence
Laboratoire d’Energétique et de Mécanique Appliquées (LEMA), Ecole Polytechnique d’Abomey-Calavi (EPAC), 01 BP 2009 Cotonou /Université d’Abomey-Calavi, Bénin.
Sanya A. Emile
Laboratoire d’Energétique et de Mécanique Appliquées (LEMA), Ecole Polytechnique d’Abomey-Calavi (EPAC), 01 BP 2009 Cotonou /Université d’Abomey-Calavi, Bénin.
Dègan Gérard
Université Nationale des Sciences, Technologies, Ingénierie et Mathématiques (UNSTIM), Bénin.
*Author to whom correspondence should be addressed.
Abstract
The present study deals with the linear stability of an anisotropic porous medium in rotation, saturated by a non-Newtonian fluid in a rectangular cavity heated on the side, subjected to the effect of the centrifugal force. The state of marginal stability is established by determining the critical Rayleigh number and the critical wave number. We have observed the effect of the parameters and of the anisotropy on the convection threshold.
Keywords: Rotating anisotropic porous media, centrifugal force, linear stability, critical Rayleigh number, convection threshold.