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Tubes, Sheets and Singularities in Fluid Dynamics

Proceedings of the NATO ARW held in Zakopane, Poland, 2–7 September 2001, Sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. K. Bajer

    1. Institute of Geophysics, Warsaw University, Warsaw, Poland

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  2. H. K. Moffatt

    1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK

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Part of the book series: Fluid Mechanics and Its Applications (FMIA, volume 71)

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Table of contents (43 papers)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Vortex Structure, Stability and Evolution

    1. Simulation of vortex sheet roll-up: chaos, azimuthal waves, ring merger

      • Robert Krasny, Keith Lindsay, Monika Nitsche
      Pages 3-12

    2. Merging of non-symmetric Burgers vortices

      • Keith Higgins, M. S. Chong, Andrew Ooi
      Pages 13-18

    3. Effect of stretching on vortices with axial flow

      • Maurice Rossi, Ivan Delbende, Stéphane Le Dizès
      Pages 19-24

    4. Optimal two-dimensional perturbations in a stretched shear layer

      • Stéphane Le Dizès
      Pages 25-30

    5. Advection-diffusion of a passive scalar in the flow of a decaying vortex

      • Konrad Bajer, Andrew P. Bassom, Andrew D. Gilbert
      Pages 31-36

    6. Linear stability of a vortex ring revisited

      • Yasuhide Fukumoto, Yuji Hattori
      Pages 37-48

    7. The vortex-in-cell method for the study of three-dimensional vortex structures

      • Henryk Kudela, Pawel Regucki
      Pages 49-54

    8. L-transition from right- to left-handed helical vortices

      • Valery Okulov, Jens N. SØrensen, Lars K. Voigt
      Pages 55-60

    9. Dynamical behaviour of counter-curren axisymmetric shear flows

      • Xilin Xie, Weiwei Ma, Huiliang Zhou
      Pages 61-66

  3. Singular Vortex Filaments

    1. Complexity measures of tangled vortex filaments

      • Carlo F. Barenghi, David C. Samuels, Renzo L. Ricca
      Pages 69-74

    2. Corotating five point vortices in a plane

      • Tatsuyuki Nakaki
      Pages 75-80

    3. On motion of a double helical vortex in a cylindrical tube

      • Pavel A. Kuibin
      Pages 81-86

    4. Intensive and weak mixing in the chaotic region of a velocity field

      • Alexandre Gourjii
      Pages 87-92

    5. Evolution of the anisotropy of the quantum vortex tangle

      • Tomasz Lipniacki
      Pages 93-98

    6. Motion of vortex lines in quantum mechanics

      • Cezary Sliwa, Iwo Bialynicki-Birula, Zofia Bialynicka-Birula, Tomasz Mloduchowski
      Pages 99-104

  4. Magnetic Structure, Topology and Reconnection

    1. Magnetic dissipation: spatial and temporal structure

      • Åke Nordlund
      Pages 107-114

    2. Current sheets in the Sun’s corona

      • Eric Priest
      Pages 115-124

    3. A model for magnetic reconnection

      • H. K. Moffatt, R.E. Hunt
      Pages 125-132

    4. Reconnection in magnetic and vorticity fields

      • Gunnar Hornig
      Pages 133-138
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Keywords

About this book

Modern experiments and numerical simulations show that the long-known coherent structures in turbulence take the form of elongated vortex tubes and vortex sheets. The evolution of vortex tubes may result in spiral structures which can be associated with the spectral power laws of turbulence. The mutual stretching of skewed vortex tubes, when they are close to each other, causes rapid growth of vorticity. Whether this process may or may not lead to a finite-time singularity is one of the famous open problems of fluid dynamics.

This book contains the proceedings of the NATO ARW and IUTAM Symposium held in Zakopane, Poland, 2-7 September 2001. The papers presented, carefully reviewed by the International Scientific Committee, cover various aspects of the dynamics of vortex tubes and sheets and of their analogues in magnetohydrodynamics and in quantum turbulence. The book should be a useful reference for all researchers and students of modern fluid dynamics.

Reviews

"...the authors merit considerable credit for so succinctly and effectively presenting and summarizing their contributions. [...] Finally, the editors, K. Bajer and H.K. Moffatt, and the publisher deserve praise for the typography of the papers, their uniformity of style and being easy on the eyes, and the brief time that was allowed to elapse between the oral presentations at the meeting and their appearance in print. This volume is an invaluable guide to the state of research in some of the most important areas of vortex dynamics at the commencement of this decade."
(Stanley A. Berger, University of California, Berkeley in AIAA Journal, 41:10 (2003)

Editors and Affiliations

  • Institute of Geophysics, Warsaw University, Warsaw, Poland

    K. Bajer

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK

    H. K. Moffatt

Bibliographic Information

  • Book Title: Tubes, Sheets and Singularities in Fluid Dynamics

  • Book Subtitle: Proceedings of the NATO ARW held in Zakopane, Poland, 2–7 September 2001, Sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics

  • Editors: K. Bajer, H. K. Moffatt

  • Series Title: Fluid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/0-306-48420-X

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2002

  • Hardcover ISBN: 978-1-4020-0980-8Published: 31 March 2003

  • Softcover ISBN: 978-94-017-3953-5Published: 13 November 2013

  • eBook ISBN: 978-0-306-48420-9Published: 11 April 2006

  • Series ISSN: 0926-5112

  • Series E-ISSN: 2215-0056

  • Edition Number: 1

  • Number of Pages: XVI, 379

  • Topics: Classical and Continuum Physics, Fluid- and Aerodynamics, Classical Mechanics

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