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Issue		Europhys. Lett. Volume 52, Number 4, November 2000
Page(s)		399 - 405
Section		Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
DOI		10.1209/epl/i2000-00108-7

DOI: 10.1209/epl/i2000-00108-7
Europhys. Lett., 52 (4), p. 399 (2000)

Two vortex rings produce chaos

Y. Huang ^1,2 - N. Schorghofer ¹ - E. S. C. Ching ¹

 ¹ Department of Physics, The Chinese University of Hong Kong
Shatin, Hong Kong, PRC
 ² State Key Laboratory of Turbulence Research
Department of Mechanics and Engineering Science
Peking University - Beijing 100871, China

(Received 10 December 1999; accepted in final form 22 September 2000)

PACS :
47.52.+j - Fluid dynamics: Chaos
47.32.Cc - Vortex dynamics
05.45.Ac - Low-dimensional chaos

ching@phy.cuhk.edu.hk

Abstract:

We study the streamlines of the velocity field produced by two unlinked vortex rings. We find that two vortex rings can produce chaos and observe a route to chaos directly from periodic orbits. From the case study of numerous ring configurations we give conditions for integrability of streamlines. We also find that near the larger ring or the stronger ring there are more stable regular structures.

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