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Secondary instability and tertiary states in rotating plane Couette flow
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0001-9627-5903
2014 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 761, 27-61 p.Article in journal (Refereed) Published
Abstract [en]

Recent experimental studies have shown rich transition behaviour in rotating plane Couette flow (RPCF). In this paper we study the transition in supercritical RPCF theoretically by determination of equilibrium and periodic orbit tertiary states via Floquet analysis on secondary Taylor vortex solutions. Two new tertiary states are discovered which we name oscillatory wavy vortex flow (oWVF) and skewed vortex flow (SVF). We present the bifurcation routes and stability properties of these new tertiary states and, in addition, we describe a bifurcation procedure whereby a set of defected wavy twist vortices is approached. Further to this, transition scenarios at flow parameters relevant to experimental works are investigated by computation of the set of stable attractors which exist on a large domain. The physically observed flow states are shown to share features with states in our set of attractors.

Place, publisher, year, edition, pages
2014. Vol. 761, 27-61 p.
Keyword [en]
bifurcation, nonlinear instability, transition to turbulence
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Other Physics Topics
URN: urn:nbn:se:kth:diva-157593DOI: 10.1017/jfm.2014.609ISI: 000344913600002ScopusID: 2-s2.0-84910130922OAI: diva2:771266

QC 20141212

Available from: 2014-12-12 Created: 2014-12-11 Last updated: 2014-12-12Bibliographically approved

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Schlatter, Philipp
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MechanicsLinné Flow Center, FLOW
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