Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

IUTAM Symposium on Computational Approaches to Multiphase FlowMultifractal Concentrations of Heavy Particles in Random Flows

IUTAM Symposium on Computational Approaches to Multiphase Flow: Multifractal Concentrations of... Multifractal Concentrations of Heavy Particles in Random Flows Jérémie Bec CNRS, Laboratoire Cassiopée, Observatoire de la Côte d’Azur, BP 4229, 06304 Nice Cedex 4, France; e-mail: bec@obs-nice.fr 1 Introduction Small-size impurities such as dust or droplets suspended in turbulent incompressible flows typically have a finite size and a mass density larger than the carrier fluid. They cannot be described as simple passive tracers, that is point-like particles with negligible mass advected by the fluid; an accurate model for their motion must take into account inertia effects. These inertial particles generally interact with the fluid through a viscous Stokes drag and thus their motion typically lags behind that of passive tracers. The dynamics of the latter is governed by a conservative dynamical system when the carrier flow is incompressible (because volume is conserved), but inertial particles have dissipative dynamics. While an initially uniform distribution of tracers remains uniform at any later time, the spatial distribution of inertial particles develops strong inhomogeneities. Such a phenomenon of preferential concentration refers to the presence of re- gions with either extremely high or low concentrations. Their characterization plays an essential role in natural and industrial phenomena. Instances are optimization of combustion processes in the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

IUTAM Symposium on Computational Approaches to Multiphase FlowMultifractal Concentrations of Heavy Particles in Random Flows

Part of the Fluid Mechanics and Its Applications Book Series (volume 81)
Editors: Balachandar, S.; Prosperetti, A.
Bec, Jérémie
IUTAM Symposium on Computational Approaches to Multiphase Flow — Jan 1, 2006
Download PDF
9 pages

Loading next page...
 
/lp/springer-journals/iutam-symposium-on-computational-approaches-to-multiphase-flow-stblokrs8U
Publisher
Springer Netherlands
Copyright
© Springer 2006
ISBN
978-1-4020-4976-7
Pages
43 –52
DOI
10.1007/1-4020-4977-3_6
Publisher site
See Chapter on Publisher Site

Abstract

Multifractal Concentrations of Heavy Particles in Random Flows Jérémie Bec CNRS, Laboratoire Cassiopée, Observatoire de la Côte d’Azur, BP 4229, 06304 Nice Cedex 4, France; e-mail: bec@obs-nice.fr 1 Introduction Small-size impurities such as dust or droplets suspended in turbulent incompressible flows typically have a finite size and a mass density larger than the carrier fluid. They cannot be described as simple passive tracers, that is point-like particles with negligible mass advected by the fluid; an accurate model for their motion must take into account inertia effects. These inertial particles generally interact with the fluid through a viscous Stokes drag and thus their motion typically lags behind that of passive tracers. The dynamics of the latter is governed by a conservative dynamical system when the carrier flow is incompressible (because volume is conserved), but inertial particles have dissipative dynamics. While an initially uniform distribution of tracers remains uniform at any later time, the spatial distribution of inertial particles develops strong inhomogeneities. Such a phenomenon of preferential concentration refers to the presence of re- gions with either extremely high or low concentrations. Their characterization plays an essential role in natural and industrial phenomena. Instances are optimization of combustion processes in the

Published: Jan 1, 2006

Keywords: Lyapunov Exponent; Collision Rate; Heavy Particle; Inertial Particle; Stokes Number

There are no references for this article.