Application of scattering chaos to particle transport in a hydrodynamical flow

C. Jung, T. Tél, E. Ziemniak

Research output: Contribution to journalArticle

120 Citations (Scopus)

Abstract

The dynamics of a passive particle in a hydrodynamical flow behind a cylinder is investigated. The velocity field has been determined both by a numerical simulation of the Navier-Stokes flow and by an analytically defined model flow. To analyze the Lagrangian dynamics, we apply methods coming from chaotic scattering: periodic orbits, time delay function, decay statistics. The asymptotic delay time statistics are dominated by the influence of the boundary conditions on the wall and exhibit algebraic decay. The short time behavior is exponential and represents hyperbolic effects.

Original languageEnglish
Pages (from-to)555-568
Number of pages14
JournalChaos
Volume3
Issue number4
Publication statusPublished - 1993

Fingerprint

Particle Transport
Chaos theory
chaos
Time delay
Chaos
time lag
Scattering
Statistics
statistics
Decay
Stokes flow
Stokes Flow
Delay Time
decay
Navier-Stokes
scattering
Periodic Orbits
Velocity Field
Time Delay
Orbits

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics
  • Applied Mathematics

Cite this

Application of scattering chaos to particle transport in a hydrodynamical flow. / Jung, C.; Tél, T.; Ziemniak, E.

In: Chaos, Vol. 3, No. 4, 1993, p. 555-568.

Research output: Contribution to journalArticle

Jung, C. ; Tél, T. ; Ziemniak, E. / Application of scattering chaos to particle transport in a hydrodynamical flow. In: Chaos. 1993 ; Vol. 3, No. 4. pp. 555-568.
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