Tracer dynamics in open hydrodynamical flows as chaotic scattering

E. M. Ziemniak, C. Jung, T. Tél

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

Methods coming from the theory of chaotic scattering are applied to the advection of passive particles in an open hydrodynamical flow. In a region of parameters where a von Kármán vortex street is present with a time periodic velocity field behind a cylinder in a channel, particles can temporarily be trapped in the wake. They exhibit chaotic motion there due to the presence of a nonattracting chaotic set. The experimentally well- known concept of streaklines is interpreted as a structure visualising asymptotically the unstable manifold of the full chaotic set. The evaluation of streaklines can also provide characteristic numbers of this invariant set, e.g. topological entropy, Lyapunov exponent, escape rate. The time delay distributions are also evaluated. We demonstrate these ideas with the aid of both computer simulations of the Navier-Stokes equations and analytical model computations. Properties that could be measured in a laboratory experiment are discussed.

Original languageEnglish
Pages (from-to)123-146
Number of pages24
JournalPhysica D: Nonlinear Phenomena
Volume76
Issue number1-3
DOIs
Publication statusPublished - Sep 1 1994

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Advection
Navier Stokes equations
tracers
Analytical models
Time delay
Vortex flow
Entropy
Scattering
vortex streets
Computer simulation
advection
scattering
wakes
Navier-Stokes equation
escape
Escape Rate
Characteristic numbers
Unstable Manifold
time lag
Chaotic Motion

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Tracer dynamics in open hydrodynamical flows as chaotic scattering. / Ziemniak, E. M.; Jung, C.; Tél, T.

In: Physica D: Nonlinear Phenomena, Vol. 76, No. 1-3, 01.09.1994, p. 123-146.

Research output: Contribution to journalArticle

Ziemniak, E. M. ; Jung, C. ; Tél, T. / Tracer dynamics in open hydrodynamical flows as chaotic scattering. In: Physica D: Nonlinear Phenomena. 1994 ; Vol. 76, No. 1-3. pp. 123-146.
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