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Lookup NU author(s): Professor Carlo Barenghi
This is the authors' accepted manuscript of an article that has been published in its final definitive form by American Physical Society, 2016.
For re-use rights please refer to the publisher's terms and conditions.
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.
Author(s): Hietala N, Hänninen R, Salman H, Barenghi CF
Publication type: Article
Publication status: Published
Journal: Physical Review Fluids
Print publication date: 01/12/2016
Online publication date: 05/12/2016
Acceptance date: 02/04/2016
Date deposited: 30/03/2017
ISSN (electronic): 2469-990X
Publisher: American Physical Society
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