Tuckerman, Laurette S. and Barkley, Dwight. (2011) Patterns and dynamics in transitional plane Couette flow. Physics of Fluids, Vol.23 (No.4). Article no. 041301. ISSN 1070-6631

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Abstract

Near transition, plane Couette flow takes the form of large-scale, oblique, and statistically steady alternating bands of turbulent and laminar flow. Properties of these flows are investigated using direct numerical simulation in a tilted computational domain. Four regimes-uniform, intermittent, periodic, and localized-are characterized. The Fourier spectrum along the direction of variation of the pattern is presented, and the component corresponding to the pattern wavenumber is investigated as an order parameter. The mean flow of a periodic pattern is characterized and shown to lead to a relation between the Reynolds number and the wavelength and angle of a pattern. (C) 2011 American Institute of Physics. [doi:10.1063/1.3580263]

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Physics of Fluids
Publisher:	American Institute of Physics
ISSN:	1070-6631
Date:	April 2011
Volume:	Vol.23
Number:	No.4
Page Range:	Article no. 041301
Identification Number:	10.1063/1.3580263
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Grand Equipement National de Calcul Intensif-Institut du Developpement et des Ressources en Informatique Scientifique
Grant number:	1119 (Grand Equipement National de Calcul Intensif-Institut du Developpement et des Ressources en Informatique Scientifique)
URI:	http://wrap.warwick.ac.uk/id/eprint/41756

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