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Hydrodynamics of binary mixtures of granular gases with stochastic coefficient of restitution

Published online by Cambridge University Press:  28 September 2015

D. Serero ,
N. Gunkelmann  and
T. Pöschel
D. Serero*
Affiliation:
Institute for Multiscale Simulation, Friedrich-Alexander-Universität Erlangen-Nürnberg, D-91052 Erlangen, Germany
N. Gunkelmann
Affiliation:
Institute for Multiscale Simulation, Friedrich-Alexander-Universität Erlangen-Nürnberg, D-91052 Erlangen, Germany Physics Department and Research Center OPTIMAS, University Kaiserslautern, Erwin-Schrödinger-Straße, D-67663 Kaiserslautern, Germany
T. Pöschel
Affiliation:
Institute for Multiscale Simulation, Friedrich-Alexander-Universität Erlangen-Nürnberg, D-91052 Erlangen, Germany
*
†Email address for correspondence: dan.serero@cbi.uni-erlangen.de
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Abstract

A hydrodynamic description of dilute binary gas mixtures comprising smooth inelastic spheres interacting by binary collisions with a random coefficient of restitution is presented. Constitutive relations are derived using the Chapman–Enskog perturbative method, associated with a computer-aided method to allow high-order Sonine polynomial expansions. The transport coefficients obtained are checked against DSMC simulations. The resulting equations are applied to the analysis of a vertically vibrated system. It is shown that differences in the shape of the distributions of the coefficient of restitution are sufficient to produce partial segregation.

JFM classification

Granular media: Granular media Rarefied Gas Flow: Kinetic theory Mixing: Granular mixing

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Papers
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Journal of Fluid Mechanics , Volume 781 , 25 October 2015 , pp. 595 - 621
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© 2015 Cambridge University Press 

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