title: Stability of Poiseuille flow in a fluid overlying an anisotropic and inhomogeneous porous layer.
abstract: We present the linear stability analysis of horizontal Poiseuille flow in a fluid overlying a porous medium with anisotropic and inhomogeneous permeability. The generalized Darcy model is used to describe the flow in the porous medium with the Beavers-Joseph condition at the interface of the two layers and the eigenvalue problem is solved numerically. The effect of major system parameters on the stability characteristics is addressed in detail. It is shown that the anisotropic and inhomogeneous modulation of the permeability of the underlying porous layer provides an effective means for passive control of the flow stability.
authors.affiliation: Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, Florida 32611, USA.
authors.forename: P
authors.initials: P
authors.lastname: Deepu
authors.affiliation: Indian Institute of Science, Bangalore 560012, India.
authors.forename: Prateek
authors.initials: P
authors.lastname: Anand
authors.affiliation: Indian Institute of Science, Bangalore 560012, India.
authors.forename: Saptarshi
authors.initials: S
authors.lastname: Basu
mesh_terms: D016880:Anisotropy; D008962:Models, Theoretical; D010539:Permeability; D016062:Porosity