Journal of Fluid Mechanics



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Hydrodynamics of granular gases and granular gas mixtures


D. SERERO a1, I. GOLDHIRSCH a1, S. H. NOSKOWICZ a1 and M.-L. TAN a2
a1 Department of Fluid Mechanics and Heat Transfer, Faculty of Engineering, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel
a2 Department of Mathematics, New York University, 251 Mercer St., New York, NY 10012-1185, USA

Article author query
serero d   [Google Scholar] 
goldhirsch i   [Google Scholar] 
noskowicz sh   [Google Scholar] 
tan m   [Google Scholar] 
 

Abstract

It is shown that a vertically vibrated binary granular gas mixture of light and heavy particles can segregate (in the presence of gravity) in such a way that the bottom and top layers are composed mostly of light particles, even if all other parameters (including size) are the same for both species. The corresponding concentration profile possesses certain universal properties. It is also shown that such mixtures can segregate when the only difference between the species is the value of the coefficient of restitution. These findings follow from a set of hydrodynamic equations for granular gas mixtures which we derived from the pertinent Boltzmann equation. The above results comprise the second part of this article, the first part of which is devoted to a brief and somewhat biased review of the main physical properties of granular gases. This includes their (generic) tendency to coagulate into clusters and other micro- and macrostructures. A fundamental property of granular materials in general, and granular gases in particular, is the lack of scale separation; an explanation and some consequences are presented. The answer to the basic question of whether the dynamics of granular gases lends itself to description by (appropriate) hydrodynamic equations seems to be positive, though some restrictions apply.

(Published Online April 24 2006)
(Received September 5 2005)
(Revised February 7 2006)



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