Neutrally bouyant particles and bailout embeddings in three-dimensional flows

Details Neutrally bouyant particles and bailout embeddings in three-dimensional flows Neutrally bouyant particles and bailout embeddings in three-dimensional flows

2002-04-03

arxiv.org/abs/nlin/0204004v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 13 figures

Scientific paper

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.

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