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The evolution of segregation in dense inclined flows of binary mixtures of spheres

Published online by Cambridge University Press:  08 October 2015

Michele Larcher  and
James T. Jenkins
Michele Larcher*
Affiliation:
Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento 38123, Italy
James T. Jenkins
Affiliation:
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14850, USA
*
†Email address for correspondence: michele.larcher@unitn.it
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Abstract

We consider the evolution of particle segregation in collisional flows of two types of spheres down rigid bumpy inclines in the absence of sidewalls. We restrict our analysis to dense flows and use an extension of kinetic theory to predict the concentration of the mixture and the profiles of mixture velocity and granular temperature. A kinetic theory for a binary mixture of nearly elastic spheres that do not differ by much in their size or mass is employed to predict the evolution of the concentration fractions of the two types of spheres. We treat situations in which the flow of the mixture is steady and uniform, but the segregation evolves, either in space or in time. Comparisons of the predictions with the results of discrete numerical simulation and with physical experiments are, in general, good.

JFM classification

Granular media: Granular media Mixing: Granular mixing Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows

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Type
Papers
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Journal of Fluid Mechanics , Volume 782 , 10 November 2015 , pp. 405 - 429
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© 2015 Cambridge University Press 

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