A note on leapfrogging vortex rings

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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.
Original languageEnglish
Pages (from-to)235-244
Number of pages10
JournalFluid Dynamics Research
Volume11
Issue number5
DOIs
Publication statusPublished - 1993

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