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Leapfrogging Kelvin waves

N. Hietala1,*, R. Hänninen1, H. Salman2, and C. F. Barenghi3

  • 1Low Temperature Laboratory, Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 AALTO, Finland
  • 2School of Mathematics, University of East Anglia, Norwich Research Park, Norwich NR4 7TJ, United Kingdom
  • 3Joint Quantum Centre Durham-Newcastle, School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom

  • *niklas.hietala@aalto.fi
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Phys. Rev. Fluids 1, 084501 – Published 5 December, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.084501

Abstract

Two vortex rings can form a localized configuration whereby they continually pass through one another in an alternating fashion. This phenomenon is called leapfrogging. Using parameters suitable for superfluid helium-4, we describe a recurrence phenomenon that is similar to leapfrogging, which occurs for two coaxial straight vortex filaments with the same Kelvin wave mode. For small-amplitude Kelvin waves we demonstrate that our full Biot-Savart simulations closely follow predictions obtained from a simplified model that provides an analytical approximation developed for nearly parallel vortices. Our results are also relevant to thin-cored helical vortices in classical fluids.

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References (30)

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Phys. Rev. Fluids 1, 084501– Published 5 December, 2016
  • Received 16 March 2016

©2016 American Physical Society

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