English

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

Statistical Mechanics 2012-11-14 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1204.5114,
  title  = {Enskog kinetic theory for $d$-dimensional dense granular gases},
  author = {Vicente Garzó},
  journal= {arXiv preprint arXiv:1204.5114},
  year   = {2012}
}

Comments

Technical note; 8 pages