Clustering and collisions of heavy particles in random smooth flows

Details Clustering and collisions of heavy particles in random smooth flows Clustering and collisions of heavy particles in random smooth flows

2004-07-07

arxiv.org/abs/nlin/0407013v2

Phys. Fluids 17, 073301 (2005)

Nonlinear Sciences

Chaotic Dynamics

12 pages, 9 Figures (revTeX 4) final published version

Scientific paper

10.1063/1.1940367

Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the underlying mechanisms, especially for polydisperse suspensions. These issues are here studied for particles much heavier than the fluid by means of a Lagrangian approach. It is shown that inertia enhances collision rates through two effects: correlation among particle positions induced by the carrier flow and uncorrelation between velocities due to their finite size. A phenomenological model yields an estimate of collision rates for particle pairs with different sizes. This approach is supported by numerical simulations in random flows.

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