Bailout Embeddings and Neutrally Buoyant Particles in Three-Dimensional Flows

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.

4 pages, 3 figures

References in corpus (3)

• Dynamics of a small neutrally buoyant sphere in a fluid and targeting in Hamiltonian systems
• Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos
• Noise and Inertia-Induced Inhomogeneity in the Distribution of Small Particles in Fluid Flows

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