CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
On the stability and uniqueness of the flow of a fluid through a porous medium
Authors
A. A. Hill
A. Oberbeck
+34 more
B. Straughan
D. Munaf
F. Franchi
H. Darcy
H.C. Brinkman
H.C. Brinkman
I. Samohyl
J. Boussinesq
J. Guo
J. Kampede Feriet
J. Serrin
J.J. Dongarra
K. Kannan
K. R. Rajagopal
K.R. Rajagopal
K.R. Rajagopal
K.R. Rajagopal
K.R. Rajagopal
L. Vergori
L.E. Payne
L.L. Richardson
O. Ladyzhenskaya
O. Reynolds
P. Forchheimer
R. Berker
R.J. Atkin
S. Rionero
S.C. Subramaniam
S.L. Synge
T.Y. Thomas
W.M. Orr
Y. Qin
Y. Qin
Y. Qin
Publication date
1 January 2016
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
Abstract
© 2016, The Author(s). In this short note, we study the stability of flows of a fluid through porous media that satisfies a generalization of Brinkman’s equation to include inertial effects. Such flows could have relevance to enhanced oil recovery and also to the flow of dense liquids through porous media. In any event, one cannot ignore the fact that flows through porous media are inherently unsteady, and thus, at least a part of the inertial term needs to be retained in many situations. We study the stability of the rest state and find it to be asymptotically stable. Next, we study the stability of a base flow and find that the flow is asymptotically stable, provided the base flow is sufficiently slow. Finally, we establish results concerning the uniqueness of the flow under appropriate conditions, and present some corresponding numerical results
Similar works
Full text
Open in the Core reader
Download PDF
Available Versions
Enlighten: Publications
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:eprints.gla.ac.uk:117954
Last time updated on 10/04/2020
Enlighten
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:eprints.gla.ac.uk:117954
Last time updated on 28/07/2016
Crossref
See this paper in CORE
Go to the repository landing page
Download from data provider
info:doi/10.1007%2Fs00033-016-...
Last time updated on 01/04/2019
Springer - Publisher Connector
See this paper in CORE
Go to the repository landing page
Download from data provider
Last time updated on 05/06/2019
Springer - Publisher Connector
See this paper in CORE
Go to the repository landing page
Download from data provider
Last time updated on 28/04/2017
UWE Bristol Research Repository
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:uwe-repository.worktribe.c...
Last time updated on 08/06/2020