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 particles from fluid trajectories near hyperbolic invariant lines, and the formation of nontrivial three-dimensional structures in the distribution of particles are predicted.
Cartwright
Julyan H E
JH
Laboratorio de Estudios Cristalográficos, CSIC, E-18071 Granada, Spain. julyan@lec.ugr.es
Magnasco
Marcelo O
MO
Piro
Oreste
O
Tuval
Idan
I