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Secondary instability and tertiary states in rotating plane Couette flow
KTH, Skolan för teknikvetenskap (SCI), Mekanik. KTH, Skolan för teknikvetenskap (SCI), Centra, Linné Flow Center, FLOW.ORCID-id: 0000-0001-9627-5903
2014 (engelsk)Inngår i: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 761, s. 27-61Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2014. Vol. 761, s. 27-61
Emneord [en]
bifurcation, nonlinear instability, transition to turbulence
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-157593DOI: 10.1017/jfm.2014.609ISI: 000344913600002Scopus ID: 2-s2.0-84910130922OAI: oai:DiVA.org:kth-157593DiVA, id: diva2:771266
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QC 20141212

Tilgjengelig fra: 2014-12-12 Laget: 2014-12-11 Sist oppdatert: 2017-12-05bibliografisk kontrollert

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