Beaume, C, Knobloch, E and Bergeon, A (2013) Nonsnaking doubly diffusive convectons and the twist instability. Physics of Fluids, 25 (11). 114102. ISSN 1070-6631
Abstract
Doubly diffusive convection in a three-dimensional horizontally extended domain with a square cross section in the vertical is considered. The fluid motion is driven by horizontal temperature and concentration differences in the transverse direction. When the buoyancy ratio N = −1 and the Rayleigh number is increased the conduction state loses stability to a subcritical, almost two-dimensional roll structure localized in the longitudinal direction. This structure exhibits abrupt growth in length near a particular value of the Rayleigh number but does not snake. Prior to this filling transition the structure becomes unstable to a secondary twist instability generating a pair of stationary, spatially localized zigzag states. In contrast to the primary branch these states snake as they grow in extent and eventually fill the whole domain. The origin of the twist instability and the properties of the resulting localized structures are investigated for both periodic and no-slip boundary conditions in the extended direction.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | (c) 2013, AIP Publishing LLC. This is the published version of record of, 'Beaume, C, Knobloch, E and Bergeon, A (2013) Nonsnaking doubly diffusive convectons and the twist instability. Physics of Fluids, 25 (11). 114102,' published by AIP Publishing and available at: https://doi.org/10.10631.4826978. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
|
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: | 07 Sep 2017 10:46 |
Last Modified: | 07 Sep 2017 10:46 |
Status: | Published |
Publisher: | AIP Publishing |
Identification Number: | 10.1063/1.4826978 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109057 |