Enskog kinetic theory for $d$-dimensional dense granular gases

Details Enskog kinetic theory for $d$-dimensional dense granular gases Enskog kinetic theory for $d$-dimensional dense granular gases

2012-04-23

arxiv.org/abs/1204.5114v1

Physics

Condensed Matter

Statistical Mechanics

Technical note; 8 pages

Scientific paper

The goal of this note is to provide most of the technical details involved in the application of the Chapman-Enskog method to solve the revised Enskog equation to Navier-Stokes order. Explicit expressions for the transport coefficients and the cooling rate are obtained in terms of the coefficient of restitution and the solid volume fraction by using a new Sonine approach. This new approach consists of replacing, where appropriate in the Chapman-Enskog procedure, the local equilibrium distribution (used in the standard first Sonine approximation) by the homogeneous cooling state distribution. The calculations are performed in an arbitrary number of dimensions.

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