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Orientation of non-spherical particles in an axisymmetric random flow

Published online by Cambridge University Press:  19 February 2013

Dario Vincenzi
Dario Vincenzi*
Affiliation:
CNRS UMR 7351, Laboratoire J.-A. Dieudonné, Université de Nice Sophia Antipolis, Parc Valrose, 06108 Nice, France
*
†Email address for correspondence: [email protected]
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Abstract

The dynamics of non-spherical rigid particles immersed in an axisymmetric random flow is studied analytically. The motion of the particles is described by Jeffery’s equation; the random flow is Gaussian and has short correlation time. The stationary probability density function of orientations is calculated exactly. Four regimes are identified depending on the statistical anisotropy of the flow and on the geometrical shape of the particle. If $\boldsymbol{\lambda} $ is the axis of symmetry of the flow, the four regimes are: rotation about $\boldsymbol{\lambda} $, tumbling motion between $\boldsymbol{\lambda} $ and $- \boldsymbol{\lambda} $, combination of rotation and tumbling, and preferential alignment with a direction oblique to $\boldsymbol{\lambda} $.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Complex Fluids: Suspensions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 719 , 25 March 2013 , pp. 465 - 487
Copyright
©2013 Cambridge University Press

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