A note on leapfrogging vortex rings

Riley, N. and Stevens, D. P. ORCID: https://orcid.org/0000-0002-7283-4405 (1993) A note on leapfrogging vortex rings. Fluid Dynamics Research, 11 (5). pp. 235-244. ISSN 1873-7005

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Abstract

In this paper we provide examples, by numerical simulation using the Navier-Stokes equations for axisymmetric laminar flow, of the 'leapfrogging' motion of two, initially identical, vortex rings which share a common axis of symmetry. We show that the number of clear passes that each ring makes through the other increases with Reynolds number, and that as long as the configuration remains stable the two rings ultimately merge to form a single vortex ring.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024)
Faculty of Science > Research Groups > Centre for Ocean and Atmospheric Sciences
Faculty of Science > Research Groups > Marine and Atmospheric Sciences (former - to 2017)
Faculty of Science > Research Groups > Meteorology, Oceanography and Climate Dynamics (former - to 2017)
Faculty of Science > Research Groups > Fluids & Structures
Faculty of Science > Research Groups > Numerical Simulation, Statistics & Data Science
Depositing User: David Stevens
Date Deposited: 01 Dec 2010 14:12
Last Modified: 07 Nov 2024 12:36
URI: https://ueaeprints.uea.ac.uk/id/eprint/15860
DOI: 10.1016/0169-5983(93)90114-P

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