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Unconditional nonlinear stability for convection in a porous medium with vertical throughflow

Hill, Antony A.

Authors

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



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.

Citation

Hill, A. A. (2007). Unconditional nonlinear stability for convection in a porous medium with vertical throughflow. Acta Mechanica, 193(3-4), 197-206. https://doi.org/10.1007/s00707-007-0473-5

Journal Article Type Article
Publication Date Oct 1, 2007
Journal Acta Mechanica
Print ISSN 0001-5970
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