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Physics of Fluids / Volume 15 / Issue 11 / LETTERS

Phys. Fluids 15, L81 (2003); http://dx.doi.org/10.1063/1.1612500 (4 pages)

Fractal clustering of inertial particles in random flows

Jérémie Bec1,2

1Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540
2Laboratoire G.-D. Cassini, Observatoire de la Côte d’Azur, BP 4229, 06304 Nice Cedex 4, France

(Received 24 June 2003; accepted 28 July 2003; published online 24 September 2003)

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. © 2003 American Institute of Physics.

© 2003 American Institute of Physics

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KEYWORDS and PACS

Keywords

fractals, random processes, suspensions, two-phase flow, turbulence, flow simulation

PACS

  • 47.53.+n

    Fractals in fluid dynamics

  • 05.45.Df

    Fractals

  • 02.50.-r

    Probability theory, stochastic processes, and statistics

  • 05.40.-a

    Fluctuation phenomena, random processes, noise, and Brownian motion

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1612500

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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