A note on leapfrogging vortex rings

N. Riley; D. P. Stevens

doi:10.1016/0169-5983(93)90114-P

A note on leapfrogging vortex rings

N. Riley, D. P. Stevens

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

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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 language	English
Pages (from-to)	235-244
Number of pages	10
Journal	Fluid Dynamics Research
Volume	11
Issue number	5
DOIs	https://doi.org/10.1016/0169-5983(93)90114-P
Publication status	Published - 1993

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10.1016/0169-5983(93)90114-P

Cite this

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title = "A note on leapfrogging vortex rings",

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.",

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T1 - A note on leapfrogging vortex rings

AU - Riley, N.

AU - Stevens, D. P.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

U2 - 10.1016/0169-5983(93)90114-P

DO - 10.1016/0169-5983(93)90114-P

M3 - Article

VL - 11

SP - 235

EP - 244

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 5

ER -