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Transition models from the quenched to ignited states for flows of inertial particles suspended in a simple sheared viscous fluid

Published online by Cambridge University Press:  03 September 2012

J.-F. Parmentier  and
O. Simonin
J.-F. Parmentier*
Affiliation:
Université de Toulouse, INPT - UPS, Institut de Mécanique des Fluides, F-31400 Toulouse, France
O. Simonin
Affiliation:
Université de Toulouse, INPT - UPS, Institut de Mécanique des Fluides, F-31400 Toulouse, France CNRS, Institut de Mécanique des Fluides, F-31400 Toulouse, France
*
†Email address for correspondence: jf.parmentier@gmail.com
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Abstract

A review of existing theories for flows of inertial particles suspended in an unbounded sheared viscous fluid is presented first. A comparison between theoretical predictions and numerical simulation results is made for Stokes numbers from to in dilute and dense flows. Both particle agitation and anisotropy coefficients are examined, showing that neither of them is able to give satisfactory results in dense flows. A more precise calculation of collisional contributions to the balance law of the particle stress tensor is presented. Results of the corresponding theory are in very good agreement with numerical simulations both in dilute and dense flows.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow Multiphase and Particle-laden Flows: Fluidized beds Rarefied Gas Flow: Kinetic theory
Type
Papers
Information
Journal of Fluid Mechanics , Volume 711 , 25 November 2012 , pp. 147 - 160
Copyright
Copyright © Cambridge University Press 2012

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References

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