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dc.contributor.authorDaly, CA
dc.contributor.authorSchneider, TM
dc.contributor.authorSchlatter, P
dc.contributor.authorPeake, Nigel
dc.date.accessioned2014-12-17T15:34:08Z
dc.date.available2014-12-17T15:34:08Z
dc.date.issued2014-12
dc.identifier.citationJournal of Fluid Mechanics, Volume 761, December 2014, pp 27- 61. DOI: 10.1017/jfm.2014.609
dc.identifier.issn0022-1120
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/246515
dc.description.abstract<jats:title>Abstract</jats:title><jats:p>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.</jats:p>
dc.description.sponsorshipC.A.D. gratefully acknowledges EPSRC PhD studentship funding.
dc.languageEnglish
dc.language.isoen
dc.publisherCambridge University Press (CUP)
dc.rightsAttribution-NoDerivs 2.0 UK: England & Wales
dc.rights.urihttp://creativecommons.org/licenses/by-nd/2.0/uk/
dc.subjectbifurcation
dc.subjectnonlinear instability
dc.subjecttransition to turbulence
dc.titleSecondary instability and tertiary states in rotating plane Couette flow
dc.typeArticle
dc.description.versionThis is the accepted manuscript. The final version is available from CUP at http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9418750&fileId=S0022112014006090.
prism.endingPage61
prism.publicationDate2014
prism.publicationNameJournal of Fluid Mechanics
prism.startingPage27
prism.volume761
dc.rioxxterms.funderEPSRC
rioxxterms.versionofrecord10.1017/jfm.2014.609
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2014-11-14
dc.contributor.orcidPeake, Nigel [0000-0001-8346-3219]
dc.identifier.eissn1469-7645
rioxxterms.typeJournal Article/Review
cam.issuedOnline2014-11-14
rioxxterms.freetoread.startdate2015-05-14


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Attribution-NoDerivs 2.0 UK: England & Wales
Except where otherwise noted, this item's licence is described as Attribution-NoDerivs 2.0 UK: England & Wales