Poiseuille flow in a fluid overlying a highly porous material

Hill, Antony A.; Straughan, Brian

Abstract

This paper investigates the instability of Poiseuille flow in a fluid overlying a highly porous material. A two layer approach is adopted, where the Darcy-Brinkman equation is employed to describe the fluid flow in the porous medium, with a tangential stress jump boundary condition at the porous/fluid interface. The basic velocity profiles are continuous due to the interfacial boundary conditions. It is shown that for certain parameter ranges the neutral curves are no longer bimodal, such that the two modes of instability corresponding to the fluid and porous layers, respectively, are not distinct. © 2009 Elsevier Ltd. All rights reserved.

• Journal Article Type: Article
• Publication Date: Nov 1, 2009
• Deposit Date: Oct 24, 2012
• Journal: Advances in Water Resources
• Print ISSN: 0309-1708
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Issue: 11
• Pages: 1609-1614
• DOI: https://doi.org/10.1016/j.advwatres.2009.08.007
• Keywords: superposed porous–fluid convection, Darcy–Brinkman
• Public URL: https://uwe-repository.worktribe.com/output/1003092
• Publisher URL: http://dx.doi.org/10.1016/j.advwatres.2009.08.007
• Contract Date: Apr 2, 2016