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Open Access item Bailout embeddings and neutrally buoyant particles in three-dimensional flows

Authors:Cartwright, Julyan H. E.
Magnasco, Marcelo O.
Piro, Oreste
Tuval, Idan
Keywords:Dynamical systems, Fluid dynamics, [PACS] Chaos, [PACS] Control of chaos, applications of chaos, [PACS] Lagrangian and Hamiltonian mechanics
Issue Date:12-Dec-2002
Publisher:American Physical Society
Citation:Physical Review Letters 89(26): 264501 (2002)
Abstract: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.
Description:4 pages, 3 figures.-- PACS nrs.: 47.52.+j, 05.45.Gg, 45.20.Jj.-- This research was performed by I.T. as part of his doctoral thesis under the supervision of O. P., together with additional input from J. H. E. C. and M.O.M.
Publisher version (URL):http://dx.doi.org/10.1103/PhysRevLett.89.264501
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