Quantized vortex ring dynamics and the vortex core radius in He II

1972 ◽  
Vol 8 (1-2) ◽  
pp. 61-77 ◽  
Author(s):  
M. Steingart ◽  
W. I. Glaberson
Keyword(s):  
Vortex Ring ◽  
Vortex Core ◽  
Quantized Vortex ◽  
Core Radius ◽  
Ring Dynamics

The effect of ion drag on quantized vortex ring dynamics

1971 ◽  
Vol 35 (5) ◽  
pp. 311-312 ◽  
Author(s):  
M. Steingart ◽  
W.I. Glaberson
Keyword(s):  
Vortex Ring ◽  
Quantized Vortex ◽  
Ring Dynamics

scholarly journals The time-development of energy spectrum of a quantized vortex ring

2020 ◽  
Vol 1675 ◽  
pp. 012007
Author(s):  
V A Andryushchenko ◽  
L P Kondaurova
Keyword(s):  
Energy Spectrum ◽  
Vortex Ring ◽  
Time Development ◽  
Quantized Vortex

scholarly journals Measurement of the vortex-core radius by scanning tunneling microscopy

1994 ◽  
Vol 194-196 ◽  
pp. 387-388 ◽  
Author(s):  
U. Hartmann ◽  
A.A. Golubov ◽  
T. Drechsler ◽  
M.Yu. Kupriyanov ◽  
C. Heiden
Keyword(s):  
Scanning Tunneling Microscopy ◽  
Vortex Core ◽  
Scanning Tunneling ◽  
Core Radius ◽  
Tunneling Microscopy

Self‐induced vortex ring dynamics in subsonic rectangular jets

1995 ◽  
Vol 7 (10) ◽  
pp. 2519-2521 ◽  
Author(s):  
Fernando F. Grinstein
Keyword(s):  
Vortex Ring ◽  
Ring Dynamics

scholarly journals The onset of chaos in vortex sheet flow

2002 ◽  
Vol 454 ◽  
pp. 47-69 ◽  
Author(s):  
ROBERT KRASNY ◽  
MONIKA NITSCHE
Keyword(s):  
Vortex Ring ◽  
Vortex Core ◽  
Axisymmetric Flow ◽  
Period Doubling ◽  
Vortex Sheet ◽  
Small Scale ◽  
Poincaré Section ◽  
Poincare Section ◽  
Sheet Flow ◽  
Onset Of Chaos

Regularized point-vortex simulations are presented for vortex sheet motion in planar and axisymmetric flow. The sheet forms a vortex pair in the planar case and a vortex ring in the axisymmetric case. Initially the sheet rolls up into a smooth spiral, but irregular small-scale features develop later in time: gaps and folds appear in the spiral core and a thin wake is shed behind the vortex ring. These features are due to the onset of chaos in the vortex sheet flow. Numerical evidence and qualitative theoretical arguments are presented to support this conclusion. Past the initial transient the flow enters a quasi-steady state in which the vortex core undergoes a small-amplitude oscillation about a steady mean. The oscillation is a time-dependent variation in the elliptic deformation of the core vorticity contours; it is nearly time-periodic, but over long times it exhibits period-doubling and transitions between rotation and nutation. A spectral analysis is performed to determine the fundamental oscillation frequency and this is used to construct a Poincaré section of the vortex sheet flow. The resulting section displays the generic features of a chaotic Hamiltonian system, resonance bands and a heteroclinic tangle, and these features are well-correlated with the irregular features in the shape of the vortex sheet. The Poincaré section also has KAM curves bounding regions of integrable dynamics in which the sheet rolls up smoothly. The chaos seen here is induced by a self-sustained oscillation in the vortex core rather than external forcing. Several well-known vortex models are cited to justify and interpret the results.

scholarly journals Impulse given to a plate by a quantized vortex ring

1974 ◽  
Vol 10 (4) ◽  
pp. 1442-1445 ◽  
Author(s):  
M. C. Cross
Keyword(s):  
Vortex Ring ◽  
Quantized Vortex

scholarly journals Quantized Vortex Rings and Loop Solitons

2020 ◽  
Vol 201 (1-2) ◽  
pp. 11-17
Author(s):  
P. J. Green ◽  
M. J. Grant ◽  
J. W. Nevin ◽  
P. M. Walmsley ◽  
A. I. Golov
Keyword(s):  
Vortex Ring ◽  
Vortex Line ◽  
Quantum Turbulence ◽  
Temperature Limit ◽  
Quantized Vortex ◽  
Vortex Rings ◽  
Zero Temperature ◽  
Vortex Lines ◽  
Small Vortex ◽  
Vortex Filament Model

Abstract The vortex filament model is used to investigate the interaction of a quantized vortex ring with a straight vortex line and also the interaction of two solitons traveling in opposite directions along a vortex. When a ring reconnects with a line, we find that a likely outcome is the formation of a loop soliton. When they collide, loop solitons reconnect as they overlap each other producing either one or two vortex rings. These simulations are relevant for experiments on quantum turbulence in the zero temperature limit where small vortex rings are expected to be numerous. It seems that loop solitons might also commonly occur on vortex lines as they act as transient states between the absorption of a vortex ring before another ring is emitted when the soliton is involved in a reconnection.

G1003 Determination Procedure of Vortex Core Region in Vortex Ring Attached to the Wall Shear Layer in the Pulsatile Jet Flow(2)

2006 ◽  
Vol 2006 (0) ◽  
pp. _G1003-1_-_G1003-4_
Author(s):  
Fujio AKAGI ◽  
Sumio YAMAGUCHI ◽  
Youichi ANDO
Keyword(s):  
Shear Layer ◽  
Vortex Ring ◽  
Vortex Core ◽  
Jet Flow ◽  
Core Region ◽  
Determination Procedure ◽  
Wall Shear

Self-Induced Velocity of a Vortex Ring Using Straight-Line Segmentation

2014 ◽  
Vol 59 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Mahendra J. Bhagwat ◽  
J. Gordon Leishman
Keyword(s):  
Vortex Ring ◽  
Logarithmic Singularity ◽  
The Self ◽  
Numerical Calculations ◽  
Core Radius ◽  
Line Vortex ◽  
The Core ◽  
Analytical Approximations ◽  
Straight Line ◽  
Induced Velocity

The accuracy of discretized induced velocity calculations that can be obtained using straight-line vortex elements has been reexamined, primarily using the velocity field induced by a vortex ring as a reference. The induced velocity of a potential (inviscid) vortex ring is singular at the vortex ring itself. Analytical results were found by using a small azimuthal cutoff in the Biot–Savart integral over the vortex ring and showed that the singularity is logarithmic in the cutoff. Discrete numerical calculations showed the same behavior, with the self-induced velocity exhibiting a logarithmic singularity with respect to the discretization, which introduces an inherent cutoff in the Biot–Savart integral. Core regularization or desingularization can also eliminate the singularity by using an assumed “viscous” core model. Analytical approximations to the self-induced velocity of a thin-cored vortex ring have shown that the self-induced velocity has a logarithmic singularity in the core radius. It is further shown that the numerical calculations require special treatment of the self-induced velocity caused by curvature, which is lost by the inherent cutoff in the straight-line discretization, to correctly recover this logarithmic singularity in the core radius. Numerical solution using straight-line vortex segmentation, augmented with curved vortex elements only for the self-induced velocity calculation, is shown to be second-order accurate in the discretization.

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