Leapfrogging Kelvin waves

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

[thumbnail of Accepted manuscript]
Preview
PDF (Accepted manuscript) - Accepted Version
Download (5MB) | Preview

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 (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

Downloads

Downloads per month over past year

Actions (login required)

View Item View Item