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Three-Dimensional Instabilities of a Counterrotating Vortex Pair

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Book cover Vortex Structure and Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 555))

Abstract

The dynamics of a pair of parallel counter-rotating vortices has been the object of a large number of studies in the last three decades. The continued interest in this flow is,to a great extent,due to its relevance to the problem of aircraft trailing wakes. In addition,the counterrotating vortex pair represents one of the simplest flow configurations for the study of elementary vortex interactions, which can yield useful information for the understanding of the dynamics of more complex transitional and turbulent flows.

The first three-dimensional stability analysis of a vortex pair was performed by Crow [1],who showed that such a pair is unstable to perturbations which are symmetric with respect to the plane separating the vortices,and which have an axial wavelength of around eight vortex spacings. This result is in good agreement with the vortex structures observed in the contrails of real aircraft.

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Author information

Authors and Affiliations

  1. IRPHE, CNRS/Universités Aix-Marseille, Marseille, France

    Thomas Leweke

  2. Mechanical & Aerospace Engineering, Cornell University, Ithaca, NY, USA

    Charles H. K. Williamson

Authors
  1. Thomas Leweke
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  2. Charles H. K. Williamson
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Editor information

Editors and Affiliations

  1. Laboratioire Onde et Acoustique, Ecole Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75005, Paris, France

    Agnès Maurel

  2. Laboratoire de Physiqueet Mécanique des Millieux Hétérogènes, Ecole Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, 75005, Paris, France

    Philippe Petitjeans

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© 2000 Springer-Verlag Berlin Heidelber

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Leweke, T., Williamson, C.H.K. (2000). Three-Dimensional Instabilities of a Counterrotating Vortex Pair. In: Maurel, A., Petitjeans, P. (eds) Vortex Structure and Dynamics. Lecture Notes in Physics, vol 555. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44535-8_13

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  • DOI: https://doi.org/10.1007/3-540-44535-8_13

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67920-2

  • Online ISBN: 978-3-540-44535-7

  • eBook Packages: Springer Book Archive

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