Nicola L. Scott
Non-linear stability bounds for a horizontal layer of a porous medium with an exothermic reaction on the lower boundary
Scott, Nicola L.
Authors
Abstract
We use the energy method to find regions of stability for a horizontal layer of a Darcy porous medium with an exothermic reaction on the lower layer. The results are compared to the linear instability results for this model found by Scott and Straughan [16]. It is shown that there is a region in which sub-critical instabilities may occur, but for small Lewis numbers, 0<Le<100<Le<10, the non-linear stability boundary is reasonably close to the linear instability boundary. The effect of varying the parameters of the reaction on the stability curve is discussed.
Citation
Scott, N. L. (2013). Non-linear stability bounds for a horizontal layer of a porous medium with an exothermic reaction on the lower boundary. International Journal of Non-Linear Mechanics, 57, 163-167. https://doi.org/10.1016/j.ijnonlinmec.2013.07.004
Journal Article Type | Article |
---|---|
Publication Date | Dec 1, 2013 |
Deposit Date | Jun 24, 2013 |
Publicly Available Date | Aug 30, 2013 |
Journal | International Journal of Non-Linear Mechanics |
Print ISSN | 0020-7462 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 57 |
Pages | 163-167 |
DOI | https://doi.org/10.1016/j.ijnonlinmec.2013.07.004 |
Keywords | Porous media, Convection, Non-linear, Energy method, Exothermic reaction, Stability. |
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This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and
reproduction in any medium, provided the original author and source are credited.
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