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Bailout Embeddings and Neutrally Buoyant Particles in Three-Dimensional Flows

J. H. E. Cartwright·M. O. Magnasco·O. Piro·I. tuval
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Abstract

We use the bailout embeddings of three-dimensional volume-preserving maps to study qualitatively the dy- namics 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.

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J. H. E. Cartwright, M. O. Magnasco, O. Piro, I. tuval. 2012-06-30. Bailout Embeddings and Neutrally Buoyant Particles in Three-Dimensional Flows. https://doi.org/10.1103/physrevlett.89.264501

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