Leapfrogging Kelvin waves

Hietala, Niklas, Hanninen, Risto, Salman, Hayder and Barenghi, Carlo F. (2016) Leapfrogging Kelvin waves. Physical Review Fluids, 1. ISSN 2469-990X

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Quantum Fluids Faculty of Science > Research Groups > Centre for Photonics and Quantum Science
Related URLs:	https://journals.aps.org/prfluids/abstra...
Depositing User:	Pure Connector
Date Deposited:	09 Dec 2016 00:06
Last Modified:	09 Feb 2023 13:44
URI:	https://ueaeprints.uea.ac.uk/id/eprint/61672
DOI:	10.1103/PhysRevFluids.1.084501

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