Secondary instability and tertiary states in rotating plane Couette flow

Daly CA, Schneider TM, Schlatter P, Peake N (2014)

Publication Type: Journal article

Publication year: 2014

Journal

Journal of Fluid Mechanics Cambridge University Press (CUP)

Book Volume: 761

Pages Range: 27-61

DOI: 10.1017/jfm.2014.609

Abstract

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.

Authors with CRIS profile

Philipp Schlatter

Involved external institutions

University of Cambridge GB United Kingdom (GB) Max-Planck-Institut für Dynamik und Selbstorganisation / Max Planck Institute for Dynamics and Self-Organization DE Germany (DE) Royal Institute of Technology / Kungliga Tekniska Högskolan (KTH) SE Sweden (SE)

How to cite

APA:

Daly, C.A., Schneider, T.M., Schlatter, P., & Peake, N. (2014). Secondary instability and tertiary states in rotating plane Couette flow. Journal of Fluid Mechanics, 761, 27-61. https://doi.org/10.1017/jfm.2014.609

MLA:

Daly, C. A., et al. "Secondary instability and tertiary states in rotating plane Couette flow." Journal of Fluid Mechanics 761 (2014): 27-61.

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