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

Published online by Cambridge University Press:  10 July 2009

E. CALZAVARINI ,
R. VOLK ,
M. BOURGOIN ,
E. LÉVÊQUE ,
J.-F. PINTON  and
F. TOSCHI
E. CALZAVARINI*
Affiliation:
Laboratoire de Physique de École Normale Supérieure de Lyon, CNRS et Université de Lyon, 46 Allée d'Italie, 69007 Lyon, France International Collaboration for Turbulence Research
R. VOLK
Affiliation:
Laboratoire de Physique de École Normale Supérieure de Lyon, CNRS et Université de Lyon, 46 Allée d'Italie, 69007 Lyon, France International Collaboration for Turbulence Research
M. BOURGOIN
Affiliation:
Laboratoire des Écoulements Géophysiques et Industriels, CNRS/UJF/INPG UMR5519, BP53, 38041 Grenoble, France International Collaboration for Turbulence Research
E. LÉVÊQUE
Affiliation:
Laboratoire de Physique de École Normale Supérieure de Lyon, CNRS et Université de Lyon, 46 Allée d'Italie, 69007 Lyon, France International Collaboration for Turbulence Research
J.-F. PINTON
Affiliation:
Laboratoire de Physique de École Normale Supérieure de Lyon, CNRS et Université de Lyon, 46 Allée d'Italie, 69007 Lyon, France International Collaboration for Turbulence Research
F. TOSCHI
Affiliation:
Department of Physics and Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands International Collaboration for Turbulence Research
*
†Email address for correspondence: enrico.calzavarini@ens-lyon.fr
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 630 , 10 July 2009 , pp. 179 - 189
Copyright
Copyright © Cambridge University Press 2009

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