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Generalization of the JTZ model to open plane wakes.

Authors
  • Wu, Zuo-Bing
Type
Published Article
Journal
Chaos An Interdisciplinary Journal of Nonlinear Science
Publisher
American Institute of Physics
Publication Date
Mar 01, 2010
Volume
20
Issue
1
Pages
13122–13122
Identifiers
DOI: 10.1063/1.3339818
PMID: 20370277
Source
Medline
License
Unknown

Abstract

The JTZ model [C. Jung, T. Tel, and E. Ziemniak, Chaos 3, 555 (1993)], as a theoretical model of a plane wake behind a circular cylinder in a narrow channel at a moderate Reynolds number, has previously been employed to analyze phenomena of chaotic scattering. It is extended here to describe an open plane wake without the confined narrow channel by incorporating a double row of shedding vortices into the intermediate and far wake. The extended JTZ model is found in qualitative agreement with both direct numerical simulations and experimental results in describing streamlines and vorticity contours. To further validate its applications to particle transport processes, the interaction between small spherical particles and vortices in an extended JTZ model flow is studied. It is shown that the particle size has significant influences on the features of particle trajectories, which have two characteristic patterns: one is rotating around the vortex centers and the other accumulating in the exterior of vortices. Numerical results based on the extended JTZ model are found in qualitative agreement with experimental ones in the normal range of particle sizes.

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