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Chaos. 2017 Apr;27(4):043102. doi: 10.1063/1.4979666.

Localized shear generates three-dimensional transport.

Chaos (Woodbury, N.Y.)

Lachlan D Smith, Murray Rudman, Daniel R Lester, Guy Metcalfe

Affiliations

  1. Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia.
  2. School of Engineering, RMIT University, Melbourne, VIC 3000, Australia.
  3. CSIRO Manufacturing, Highett, VIC 3190, Australia.

PMID: 28456165 DOI: 10.1063/1.4979666

Abstract

Understanding the mechanisms that control three-dimensional (3D) fluid transport is central to many processes, including mixing, chemical reaction, and biological activity. Here a novel mechanism for 3D transport is uncovered where fluid particles are kicked between streamlines near a localized shear, which occurs in many flows and materials. This results in 3D transport similar to Resonance Induced Dispersion (RID); however, this new mechanism is more rapid and mutually incompatible with RID. We explore its governing impact with both an abstract 2-action flow and a model fluid flow. We show that transitions from one-dimensional (1D) to two-dimensional (2D) and 2D to 3D transport occur based on the relative magnitudes of streamline jumps in two transverse directions.

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