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Physics of Rotating Fluids pp 67–83Cite as

Stability of time-periodic flows in a Taylor-Couette geometry

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Part of the book series: Lecture Notes in Physics ((LNP,volume 549))

Abstract

The flows generated by the time-periodic forcing of one or both cylinders of the Taylor-Couette system are of two types: either modulated or pulsed flows whether or not there exists a mean rotation. Their linear stability is analysed within the frame of Floquet theory which predicts synchronous or subharmonic instability modes, a phenomenon known as parametric resonance. The non linear dynamics of time-periodic Taylor vortex flow has been examined both by numerical simulations and through model equations. We shall report on the results of two analytical approaches. The first one due to Hall [18] is based on an amplitude equation which was then modified by Barenghi and Jones [5] to account for imperfections in the system. The second one is a Lorenz model derived by Kuhlmann et al. [22].

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Authors and Affiliations

  1. C.E.A/Saclay, Service de Physique Théorique, F-91191, Gif-sur-Yvette Cedex, France

    Christiane Normand

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  1. Christiane Normand
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Editors and Affiliations

  1. Lehrstuhl Aerodynamik und Strömungslehre Fakultät Maschinenbau, Elektrotechnik und Wirtschaftsingenieurwesen, Brandenburgisch Technische Universität Cottbus, 03013, Cottbus

    Christoph Egbers

  2. Institut für Experimentelle und Angewandte Physik, Universiät Kiel, Olshausenstrasse 40, 24098, Kiel, Germany

    Gerd Pfister

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Normand, C. (2000). Stability of time-periodic flows in a Taylor-Couette geometry. In: Egbers, C., Pfister, G. (eds) Physics of Rotating Fluids. Lecture Notes in Physics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45549-3_5

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  • DOI: https://doi.org/10.1007/3-540-45549-3_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67514-3

  • Online ISBN: 978-3-540-45549-3

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