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Anomalous translational velocity of vortex ring with finite-amplitude Kelvin waves

Lookup NU author(s): Professor Carlo Barenghi

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Abstract

We consider finite-amplitude Kelvin waves on an inviscid vortex assuming that the vortex core has infinitesimal thickness. By numerically solving the governing Biot-Savart equation of motion, we study how the frequency of the Kelvin waves and the velocity of the perturbed ring depend on the Kelvin wave amplitude. In particular, we show that, if the amplitude of the Kelvin waves is sufficiently large, the perturbed vortex ring moves backwards. © 2006 The American Physical Society.

Publication metadata

Author(s): Barenghi CF, Hanninen R, Tsubota M

Publication type: Article

Publication status: Published

Journal: Physical Review E

Year: 2006

Volume: 74

Issue: 4

ISSN (print): 1539-3755

ISSN (electronic): 1550-2376

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevE.74.046303

DOI: 10.1103/PhysRevE.74.046303

Notes: Article no. 046303 5 pages

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