Antony Hill Antony.Hill@uwe.ac.uk
College Dean of Learning and Teaching
Unconditional nonlinear stability for convection in a porous medium with vertical throughflow
Hill, Antony A.
Authors
Abstract
Linear and nonlinear stability analyses of vertical throughflow in a fluid saturated porous layer, which is modelled using a cubic Forchheimer model, are studied. To ensure unconditional nonlinear results are obtainable, and to avoid the loss of key terms, a weighted functional is used in the energy analysis. The linear instability and nonlinear stability thresholds show considerable agreement when the vertical throughflow is small, although there is substantial deterioration of this agreement as the vertical throughflow increases.
| Journal Article Type | Article |
|---|---|
| Publication Date | Oct 1, 2007 |
| Journal | Acta Mechanica |
| Print ISSN | 0001-5970 |
| Electronic ISSN | 1619-6937 |
| Publisher | Springer (part of Springer Nature) |
| Peer Reviewed | Peer Reviewed |
| Volume | 193 |
| Issue | 3-4 |
| Pages | 197-206 |
| DOI | https://doi.org/10.1007/s00707-007-0473-5 |
| Keywords | unconditional nonlinear stability, convection, porous medium, vertical throughflow |
| Public URL | https://uwe-repository.worktribe.com/output/1033008 |
| Publisher URL | http://dx.doi.org/10.1007/s00707-007-0473-5 |
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