Abstract
Abstract
Highlights
Particle-laden flows arise in many bounded flows of small characteristic length scale
The incompressible flow at Re = 400 in a long two-sided lid-driven cavity with cross-sectional aspect ratio Γ = 1.6 arises in form of steady spatially periodic cells. This cellular flow hosts regular streamlines on KAM tori of period one and period five, surrounded by chaotic streamlines which occupy most of the domain, including a layer along all cavity walls
Individual spherical particles suspended in the cellular flow whose density does not differ much from that of the fluid are found to be attracted to a variety of limit cycles and quasi-periodic orbits
Summary
Particle-laden flows arise in many bounded flows of small characteristic length scale. The volume fraction of the particulate phase is very small and the particle size is very small compared to the size of the flow domain Under these conditions particle–particle and particle–wall interactions are very rare and the motion of an individual spherical particle can be well described by the Maxey–Riley equation (Maxey & Riley 1983) for the centroid of the particle, provided the particle Reynolds and the particle Stokes numbers are small and the particle moves at a distance from the boundary which is large compared to the particle size.
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