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Asymptotic Theory of Slender Vortex Filaments — Old and New

  • Conference paper
IUTAM Symposium on Dynamics of Slender Vortices

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 44))

Abstract

We give a brief review of the asymptotic theory of slender vortex filaments to emphasize i) the choices of scalings, small parameters and the distinguished limit, ii) the consistency conditions, iii) the optimum similar and non-similar viscous vortical core structures and iv) their applications to complement experimental investigations. We present highlights of several extensions of the asymptotic theory: the analyses for core structures with axial variation, for the interaction of filaments with a solid body and sound generation and for a filament in a background rotational flow. We then outline the vortical flow problems currently under investigation.

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Author information

Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA

    L. Ting

  2. Fachbereich Sicherheitstechnik, Bergische Universität, D-42097, Wuppertal, Germany

    R. Klein

  3. Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD, 21218, USA

    O. M. Knio

Authors
  1. L. Ting
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  2. R. Klein
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  3. O. M. Knio
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Editor information

Editors and Affiliations

  1. Aerodynamisches Institut, Rheinisch-Westfälische Technische Hochschule Aachen, Germany

    E. Krause

  2. Institut für Thermo- und Fluiddynamik, Ruhr-Universität Bochum, Germany

    K. Gersten

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© 1998 Springer Science+Business Media Dordrecht

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Ting, L., Klein, R., Knio, O.M. (1998). Asymptotic Theory of Slender Vortex Filaments — Old and New. In: Krause, E., Gersten, K. (eds) IUTAM Symposium on Dynamics of Slender Vortices. Fluid Mechanics and Its Applications, vol 44. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5042-2_1

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  • DOI: https://doi.org/10.1007/978-94-011-5042-2_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6117-9

  • Online ISBN: 978-94-011-5042-2

  • eBook Packages: Springer Book Archive

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