Skip to main content

Research Repository

Advanced Search

Poiseuille flow in a fluid overlying a highly porous material

Hill, Antony A.; Straughan, Brian

Authors

Profile Image

Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching

Brian Straughan



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.

Citation

Hill, A. A., & Straughan, B. (2009). Poiseuille flow in a fluid overlying a highly porous material. Advances in Water Resources, 32(11), 1609-1614. https://doi.org/10.1016/j.advwatres.2009.08.007

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