Beaume, C, Knobloch, E, Chini, GP et al. (1 more author) (2016) Modulated patterns in a reduced model of a transitional shear flow. Physica Scripta, 91 (2). 024003. ISSN 0031-8949
Abstract
We consider a close relative of plane Couette flow called Waleffe flow in which the fluid is confined between two free-slip walls and the flow driven by a sinusoidal force. We use a reduced model of such flows constructed elsewhere to compute stationary exact coherent structures of Waleffe flow in periodic domains with a large spanwise period. The computations reveal the emergence of stationary states exhibiting strong amplitude and wavelength modulation in the spanwise direction. These modulated states lie on branches exhibiting complex dependence on the Reynolds number but no homoclinic snaking.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 The Royal Swedish Academy of Sciences. This is an author produced version of a paper published in Physica Scripta. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | shear flow, exact coherent states, pattern formation, transition, reduced model |
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: | 18 Jan 2016 15:20 |
Last Modified: | 18 Jul 2017 16:22 |
Published Version: | http://dx.doi.org/10.1088/0031-8949/91/2/024003 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/0031-8949/91/2/024003 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:93691 |