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 |
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Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
UEA Research Groups: | Faculty of Science > Research Groups > Quantum Fluids (former - to 2024) Faculty of Science > Research Groups > Centre for Photonics and Quantum Science Faculty of Science > Research Groups > Fluids & Structures Faculty of Science > Research Groups > Quantum Matter |
Related URLs: | |
Depositing User: | Pure Connector |
Date Deposited: | 09 Dec 2016 00:06 |
Last Modified: | 07 Nov 2024 12:39 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/61672 |
DOI: | 10.1103/PhysRevFluids.1.084501 |
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