Bailout embeddings and neutrally buoyant particles in three-dimensional flows

We use the bailout embeddings of three-dimensional volume-preserving maps to study qualitatively the dynamics of small spherical neutrally buoyant impurities suspended in a time-periodic incompressible fluid flow. The accumulation of impurities in tubular vortical structures, the detachment of parti...

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Bibliographic Details
Published in:Physical review letters 2002-12, Vol.89 (26), p.264501-264501, Article 264501
Main Authors: Cartwright, Julyan H E, Magnasco, Marcelo O, Piro, Oreste, Tuval, Idan
Format: Article
Language:English
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Summary:We use the bailout embeddings of three-dimensional volume-preserving maps to study qualitatively the dynamics of small spherical neutrally buoyant impurities suspended in a time-periodic incompressible fluid flow. The accumulation of impurities in tubular vortical structures, the detachment of particles from fluid trajectories near hyperbolic invariant lines, and the formation of nontrivial three-dimensional structures in the distribution of particles are predicted.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.89.264501