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Wave Propagation, Instability, and Breakdown of Vortices

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Vortex Motion

Abstract

The themes of wave propagation and hydrodynamic stability have played prominent roles in attempts to understand the phenomenon of vortex breakdown. Recent theoretical and experimental work provide evidence that waves and instabilities are important elements of the vortex breakdown process. Breakdown of vortex cores at high Reynolds numbers may occur in one of two forms, the apparently axisymmetric (“bubble”) or the “spiral” form. The application of soliton theory and hydrodynamic stability theory to both forms is discussed, together with a new large amplitude theory for axisymmetric waves.

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Author information

Authors and Affiliations

  1. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, 14853, USA

    S. Leibovich

Authors
  1. S. Leibovich
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Editor information

Editors and Affiliations

  1. Institut für Experimentelle Strömungsmechanik, DFVLR-AVA, Goettingen, Deutschland

    H. G. Hornung

  2. Max-Planck-Institut für Strömungsforschung, Goettingen, Deutschland

    E.-A. Müller

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© 1982 Springer Fachmedien Wiesbaden

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Leibovich, S. (1982). Wave Propagation, Instability, and Breakdown of Vortices. In: Hornung, H.G., Müller, EA. (eds) Vortex Motion. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13883-9_4

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  • DOI: https://doi.org/10.1007/978-3-663-13883-9_4

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08536-0

  • Online ISBN: 978-3-663-13883-9

  • eBook Packages: Springer Book Archive

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