Beaume, C, Rucklidge, AM orcid.org/0000-0003-2985-0976 and Tumelty, J (2022) Near-onset dynamics in natural doubly diffusive convection. Journal of Fluid Mechanics, 934. A42. ISSN 0022-1120
Abstract
Doubly diffusive convection is considered in a vertical slot where horizontal temperature and solutal variations provide competing effects to the fluid density while allowing the existence of a conduction state. In this configuration, the linear stability of the conductive state is known, but the convection patterns arising from the primary instability have only been studied for specific parameter values. We have extended this by determining the nature of the primary bifurcation for all values of the Lewis and Prandtl numbers using a weakly nonlinear analysis. The resulting convection branches are extended using numerical continuation and we find large-amplitude steady convection states can coexist with the stable conduction state for sub- and supercritical primary bifurcations. The stability of the convection states is investigated and attracting travelling waves and periodic orbits are identified using time stepping when these steady states are unstable.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s), 2022. This article has been published in a revised form at https://doi.org/10.1017/jfm.2021.1121. This version is free to view and download for private research and study only. Not for re-distribution or re-use. |
Keywords: | double diffusive convection, bifurcation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Dec 2021 15:23 |
Last Modified: | 20 Mar 2023 09:23 |
Status: | Published |
Publisher: | Cambridge University Press |
Identification Number: | 10.1017/jfm.2021.1121 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:181364 |