Modulated patterns in a reduced model of a transitional shear flow

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 in this flow in peri...

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Bibliographic Details
Published inPhysica scripta Vol. 91; no. 2; pp. 24003 - 24010
Main Authors Beaume, C, Knobloch, E, Chini, G P, Julien, K
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.02.2016
Subjects
Amplitudes
Coherence
Computational fluid dynamics
Couette flow
exact coherent states
Fluid flow
Fluids
pattern formation
Planes
reduced model
shear flow
transition
Walls
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Summary: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 in this 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.
Bibliography:Royal Swedish Academy of Sciences
PHYSSCR-104170
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0031-8949
1402-4896
DOI:10.1088/0031-8949/91/2/024003