Waves and Bifurcations in Vortex Filaments

1987 ◽  
pp. 3-15 ◽  
Author(s):  
Sidney Leibovich
Keyword(s):  
Vortex Filaments

scholarly journals Cascades and reconnection in interacting vortex filaments

2021 ◽  
Vol 6 (7) ◽  
Author(s):  
Rodolfo Ostilla-Mónico ◽  
Ryan McKeown ◽  
Michael P. Brenner ◽  
Shmuel M. Rubinstein ◽  
Alain Pumir
Keyword(s):  
Vortex Filaments

Numerical studies of motion and decay of vortex filaments

AIAA Journal ◽  
1986 ◽  
Vol 24 (8) ◽  
pp. 1290-1297 ◽  
Author(s):  
C. H. Liu ◽  
John Tavantzis ◽  
Lu Ting
Keyword(s):  
Vortex Filaments ◽  
Numerical Studies

Dynamics of Corotating Vortex Filaments Part 1: Analytical Model

2006 ◽  
Vol 43 (5) ◽  
pp. 1434-1439 ◽  
Author(s):  
Teresa S. Miller ◽  
Linda K. Kliment ◽  
Kamran Rokhsaz
Keyword(s):  
Analytical Model ◽  
Vortex Filaments

On the curvature and torsion of an isolated vortex filament

1965 ◽  
Vol 22 (3) ◽  
pp. 471-479 ◽  
Author(s):  
Robert Betchov
Keyword(s):  
Vortex Filament ◽  
Inviscid Fluid ◽  
Arc Length ◽  
Local Curvature ◽  
Vortex Filaments ◽  
Non Linear ◽  
Curvature And Torsion

We consider a very thin vortex filament in an unbounded, incompressible and inviscid fluid. The filament is not necessarily plane. Each portion of the filament moves with a velocity that can be approximated in terms of the local curvature of the filament. This approximation leads to a pair of intrinsic equations giving the curvature and the torsion of the filament, as functions of the time and the arc length along the filament. It is found that helicoidal vortex filaments are elementary solutions, and that they are unstable.The intrisic equations also suggest a linear mechanism that tends to produce concentrated torsion and a non-linear mechanism tending to disperse such singularities.

Trajectories of solid particles in a tangle of vortex-filaments

2008 ◽  
pp. 55-57
Author(s):  
A.J. Mee ◽  
D. Kivotides ◽  
C.F. Barenghi ◽  
Y.A. Sergeev
Keyword(s):  
Solid Particles ◽  
Vortex Filaments

On Observation of Transiently Visible Movements

1915 ◽  
Vol 19 (75) ◽  
pp. 104-106 ◽  
Author(s):  
E. H. Hankin
Keyword(s):  
Necessary Condition ◽  
Strong Wind ◽  
Simple Task ◽  
Vortex Filaments ◽  
Laboratory Experience ◽  
Double Spiral

It is a commonplace of laboratory experience that one or two months' practice may be required to “get one's eye in” for an apparently so simple task as taking the readings of a polarimeter. But it does not seem to be so widely realised that similar practice is necessary to get one's eye in for seeing objects that are only visible for minute periods of time. Consequently, anyone who has had such practice is liable to incur criticism from those who do not realise its nature and value.Colonel de Villamil is sceptical as to my statement that in certain cases the smoke issuing from a steamer funnel assumes the form of two vortex filaments lying side by side and rotating in opposite directions. The changes of shape of the smoke masses and their rotary movements are so rapid that they are by no means easy to recognise. I have seen the movements in question both on P. and O. steamers and on excursion steamers from Bournemouth. Mr. J. H. Field, of the Agra Aerological Observatory, kindly permits me to state that he has frequently seen the double spiral in steamer smoke as I have described it. His observations were ,made independently of mine and before he had seen my paper. The necessary condition for the formation of the spirals is that a strong wind should be blowing across the top of the funnel.

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