Poiseuille flow in a fluid overlying a porous medium

Hill, Antony A.; Straughan, Brian

Abstract

This paper numerically investigates the instability of Poiseuille flow in a fluid overlying a porous medium saturated with the same fluid. A three-layer configuration is adopted. Namely, a Newtonian fluid overlying a Brinkman porous transition layer, which in turn overlies a layer of Darcy-type porous material. It is shown that there are two modes of instability corresponding to the fluid and porous layers, respectively. The key parameters which affect the stability characteristics of the system are the depth ratio between the porous and fluid layers and the transition layer depth. © 2008 Cambridge University Press.

• Journal Article Type: Article
• Publication Date: May 1, 2008
• Journal: Journal of Fluid Mechanics
• Print ISSN: 0022-1120
• Electronic ISSN: 1469-7645
• Publisher: Cambridge University Press (CUP)
• Peer Reviewed: Peer Reviewed
• Volume: 603
• Pages: 137-149
• DOI: https://doi.org/10.1017/S0022112008000852
• Keywords: poiseuille flow, fluid, porous medium
• Public URL: https://uwe-repository.worktribe.com/output/1019071
• Publisher URL: http://dx.doi.org/10.1017/S0022112008000852