Fractal clustering of inertial particles in random flows

Details Fractal clustering of inertial particles in random flows Fractal clustering of inertial particles in random flows

2003-06-24

arxiv.org/abs/nlin/0306049v2

Phys. Fluids 15, L81-L84, 2003

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures, Physics of Fluids, in press

Scientific paper

10.1063/1.1612500

It is shown that preferential concentrations of inertial (finite-size) particle suspensions in turbulent flows follow from the dissipative nature of their dynamics. In phase space, particle trajectories converge toward a dynamical fractal attractor. Below a critical Stokes number (non-dimensional viscous friction time), the projection on position space is a dynamical fractal cluster; above this number, particles are space filling. Numerical simulations and semi-heuristic theory illustrating such effects are presented for a simple model of inertial particle dynamics.

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