Journal of Fluid Mechanics

Papers

Acceleration statistics of finite-sized particles in turbulent flow: the role of Faxén forces

E. CALZAVARINIa1a4 c1, R. VOLKa1a4, M. BOURGOINa2a4, E. LÉVÊQUEa1a4, J.-F. PINTONa1a4 and F. TOSCHIa3a4

a1 Laboratoire de Physique de École Normale Supérieure de Lyon, CNRS et Université de Lyon, 46 Allée d'Italie, 69007 Lyon, France

a2 Laboratoire des Écoulements Géophysiques et Industriels, CNRS/UJF/INPG UMR5519, BP53, 38041 Grenoble, France

a3 Department of Physics and Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands

a4 International Collaboration for Turbulence Research

Abstract

The dynamics of particles in turbulence when the particle size is larger than the dissipative scale of the carrier flow are studied. Recent experiments have highlighted signatures of particles' finiteness on their statistical properties, namely a decrease of their acceleration variance, an increase of correlation times (at increasing the particles size) and an independence of the probability density function of the acceleration once normalized to their variance. These effects are not captured by point-particle models. By means of a detailed comparison between numerical simulations and experimental data, we show that a more accurate description is obtained once Faxén corrections are included.

(Received November 26 2008)

(Revised March 09 2009)

Correspondence:

c1 Email address for correspondence: enrico.calzavarini@ens-lyon.fr

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