Subcritical Equilibria in Taylor-Couette Flow

Kengo Deguchi, Alvaro Meseguer, and Fernando Mellibovsky
Phys. Rev. Lett. 112, 184502 – Published 8 May 2014

Abstract

Nonlinear equilibrium states characterized by strongly localized vortex pairs are calculated in the linearly stable parameter region of counterrotating Taylor-Couette flow. These subcritical states are rotating waves whose region of existence is consistent with the critical threshold for relaminarization observed in experiments. For sufficiently rapid outer cylinder rotation the solutions extend beyond the static inner cylinder case to corotation, thus exceeding, for the first time, the boundary defined by the inviscid Rayleigh’s stability criterion.

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  • Received 8 October 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.184502

© 2014 American Physical Society

Authors & Affiliations

Kengo Deguchi1,2,*, Alvaro Meseguer3, and Fernando Mellibovsky4,†

  • 1Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
  • 2Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 606-8501, Japan
  • 3Departament de Física Aplicada, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain
  • 4Castelldefels School of Telecom and Aerospace Engineering, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain

  • *k.deguchi418@gmail.com
  • fernando.mellibovsky@upc.edu

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Vol. 112, Iss. 18 — 9 May 2014

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