Head-on Collision of Two Vortex Rings

Oshima, Yuko

doi:10.1143/jpsj.44.328

Cited by 52 publications

(27 citation statements)

References 1 publication

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“…Fig. 10 shows that the head-tail structure has also been observed in experiments of two colliding rings obtained by [23]. The upper row (U) shows, at successive instants, the meridional plane illuminated by a sheet of light.…”

Section: Examplessupporting

confidence: 55%

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A contour dynamics algorithm for axisymmetric flow

Shariff

Leonard

Ferziger

2008

Journal of Computational Physics

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Section: Examplessupporting

confidence: 55%

“…Smoke visualization of the collision of two vortex rings by Oshima[23]. Time progresses from left to right.…”

mentioning

confidence: 99%

A contour dynamics algorithm for axisymmetric flow

Shariff

Leonard

Ferziger

2008

Journal of Computational Physics

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“…Vortex rings have been studied in-depth since some of the early works of Helmholtz (1867) and Reynolds (1876). In particular vortex rings in unbounded semi-infinite domains are well understood, including the formation dynamics (Didden 1979;Glezer 1988;Pullin 1978;Saffman 1978), their propagation (Leonard 1985;Stanaway et al 1988;Weigand 1997), transition to turbulence (Glezer 1990;Maxworthy 1972;Weigand 1994), as well as processes such as vortex ring collisions (Oshima 1978;Zawadzki 1991), merging (Kida et al 1989;Nielsen et al 1996), and breakdown (Hall 1972;Harvey 1962;Squire 1960), or vortex ring impingement with solid surfaces (Lim 1989;Orlandi 2006;Walker et al 1987) or free shear boundaries (Gharib 2006;Ohring 1991). However, the dynamics of vortex rings generated within simple axisymmetric confined domains or even within more complex and irregular geometries such as in the heart's ventricles have not received focused attention, despite their recognized importance.…”

Section: Introductionmentioning

confidence: 99%

The decay of confined vortex rings

et al. 2012

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Vortex rings are produced during the ejection of fluid through a nozzle or orifice, which occurs in a wide range of biological conditions such as blood flow through the valves of the heart or through arterial constrictions. Confined vortex ring dynamics, such as these, have not been previously studied despite their occurrence within the biological flow conditions mentioned. In this work, we investigate laminar vortex rings using particle image velocimetry and develop a new semi-empirical model for the evolution of vortex ring circulation subject to confinement. Here we introduce a decay parameter b which exponentially grows with increasing vortex ring confinement ratio, the ratio of the vortex ring diameter (D VR ) to the confinement diameter (D), with the relationship b ¼ 4:38 expð9:5D VR =DÞ; resulting in a corresponding increase in the rate of vortex ring circulation decay. This work enables the prediction of circulation decay rate based on confinement, which is important to understanding naturally occurring confined vortex ring dynamics.

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“…15,25,26 The head-on collision of two vortex rings has been studied experimentally and numerically. [27][28][29][30][31] A theoretical model of vortex reconnection was proposed by Saffman, 32 and has been critically evaluated against numerical simulations by Boratav et al 24 for the case of two orthogonal vortex tubes, and by Shelley et al 20 for the case of two anti-parallel vortex tubes. A review of several of these works has been presented by Kida.…”

Section: Introductionmentioning

confidence: 99%

Vortex tube reconnection at Re = 104

2012

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We present simulations of the long-time dynamics of two anti-parallel vortex tubes with and without initial axial flow, at Reynolds number Re = Γ/ν = 104. Simulations were performed in a periodic domain with a remeshed vortex method using 785 × 106 particles. We quantify the vortex dynamics of the primary vortex reconnection that leads to the formation of elliptical rings with axial flow and report for the first time a subsequent collision of these rings. In the absence of initial axial flow, a −5/3 slope of the energy spectrum is observed during the first reconnection of the tubes. The resulting elliptical vortex rings experience a coiling of their vortex lines imparting an axial flow inside their cores. These rings eventually collide, exhibiting a −7/3 slope of the energy spectrum. Studies of vortex reconnection with an initial axial flow exhibit also the −7/3 slope during the initial collision as well as in the subsequent collision of the ensuing elliptical vortex rings. We quantify the detailed vortex dynamics of these collisions and examine the role of axial flow in the breakup of vortex structures.

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Head-on Collision of Two Vortex Rings

Cited by 52 publications

References 1 publication

A contour dynamics algorithm for axisymmetric flow

A contour dynamics algorithm for axisymmetric flow

The decay of confined vortex rings

Vortex tube reconnection at Re = 104

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