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Axisymmetric propagating vortices in centrifugally stable Taylor–Couette flow

Published online by Cambridge University Press:  11 July 2013

C. Hoffmann ,
S. Altmeyer ,
M. Heise ,
J. Abshagen  and
G. Pfister
C. Hoffmann
Affiliation:
Institut für Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany
S. Altmeyer
Affiliation:
Institut für Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany Department of Mathematics, Kyungpook National University, Deagu, 702-701, Korea
M. Heise*
Affiliation:
Institut für Experimentelle und Angewandte Physik, Universität Kiel, D-24098 Kiel, Germany
J. Abshagen
Affiliation:
Institut für Experimentelle und Angewandte Physik, Universität Kiel, D-24098 Kiel, Germany
G. Pfister
Affiliation:
Institut für Experimentelle und Angewandte Physik, Universität Kiel, D-24098 Kiel, Germany
*
†Email address for correspondence: [email protected]
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Abstract

We present numerical as well as experimental results of axisymmetric, axially propagating vortices appearing in counter-rotating Taylor–Couette flow below the centrifugal instability threshold of circular Couette flow without additional externally imposed forces. These propagating vortices are periodically generated by the shear flow near the Ekman cells that are induced by the non-rotating end walls. These axisymmetric vortices propagate into the bulk towards mid-height, where they get annihilated by rotating, non-propagating defects. These propagating structures appear via a supercritical Hopf bifurcation from axisymmetric, steady vortices, which have been discovered recently in centrifugally stable counter-rotating Taylor–Couette flow (Abshagen et al., Phys. Fluids, vol. 22, 2010, 021702). In the nonlinear regime of the Hopf bifurcation, contributions of non-axisymmetric modes also appear.

JFM classification

Nonlinear Dynamical Systems: Bifurcation Convection: Convection Nonlinear Dynamical Systems: Nonlinear Dynamical Systems Nonlinear Dynamical Systems: Pattern formation
Type
Papers
Information
Journal of Fluid Mechanics , Volume 728 , 10 August 2013 , pp. 458 - 470
Copyright
©2013 Cambridge University Press 

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