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The Ginzburg-Landau Equation as a Model of the Three-Dimensional Circular Cylinder Wake at Low Reynolds Numbers

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Bluff-Body Wakes, Dynamics and Instabilities

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Abstract

The circular cylinder wake is a basic problem in fluid dynamics. At low Reynolds numbers, there is a transition from a steady to an oscillatory wake, which has been previously identified (Provansal et al.) as a Landau-Hopf bifurcation by local measurements. However this model is unsufficient to account for the spatial effects along the axis of the cylinder which turned out to be of crude importance. Many observations of spatial structures have been done: inclined vortex shedding (Berger & Wille, Gerrard), cells of different frequencies (Gerich & Eckelmann), influence of end effects and pressure conditions on parallel or oblique vortex shedding (Williamson, Hammache & Gharib).

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Author information

Authors and Affiliations

  1. Laboratoire de Recherche en Combustion, CNRS Marseille, France

    Pierre Albarède, Thomas Leweke & Michel Provansal

Authors
  1. Pierre Albarède
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  2. Thomas Leweke
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  3. Michel Provansal
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Editor information

Editors and Affiliations

  1. Institut für Angewandte Mechanik und Strömungsphysik, Universität Göttingen und Max-Planck-Institut für Strömungsforschung, Bunsenstraße 10, 37073, Göttingen, Germany

    Helmut Eckelmann

  2. Department of Aeronautics, Imperial College of Science, Technology and Medicine, SW72BY, South Kensington, London, UK

    J. Michael R. Graham

  3. Laboratoire d’Hydrodynamique (LADHYX), Ecole Polytechnique, 91128, Palaiseau Cedex, France

    Patrick Huerre

  4. Mechanical, Aerospace and Nuclear Engineering Dept., University of California, Los Angeles, 405 Hilgard Ave., 90024-1597, Los Angeles, CA, USA

    Peter A. Monkewitz

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© 1993 Springer-Verlag Berlin Heidelberg

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Albarède, P., Leweke, T., Provansal, M. (1993). The Ginzburg-Landau Equation as a Model of the Three-Dimensional Circular Cylinder Wake at Low Reynolds Numbers. In: Eckelmann, H., Graham, J.M.R., Huerre, P., Monkewitz, P.A. (eds) Bluff-Body Wakes, Dynamics and Instabilities. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00414-2_68

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  • DOI: https://doi.org/10.1007/978-3-662-00414-2_68

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-00416-6

  • Online ISBN: 978-3-662-00414-2

  • eBook Packages: Springer Book Archive

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