Kinetic Theory for Binary Granular Mixtures at Low-Density
arXiv:0704.1211 · doi:10.1007/978-3-540-78767-9_10
Abstract
Many features of granular media can be modelled as a fluid of hard spheres with {\em inelastic} collisions. Under rapid flow conditions, the macroscopic behavior of grains can be described through hydrodynamic equations. At low-density, a fundamental basis for the derivation of the hydrodynamic equations and explicit expressions for the transport coefficients appearing in them is provided by the Boltzmann kinetic theory conveniently modified to account for inelastic binary collisions. The goal of this chapter is to give an overview of the recent advances made for binary granular gases by using kinetic theory tools. Some of the results presented here cover aspects such as transport properties, energy nonequipartition, instabilities, segregation or mixing, non-Newtonian behavior, .... In addition, comparison of the analytical results with those obtained from Monte Carlo and molecular dynamics simulations is also carried out, showing the reliability of kinetic theory to describe granular flows even for strong dissipation.
49 pages, 13 figures, to appear in Playing with Marbles: Theory and Simulation of Hard-Sphere Fluids and Related Systems, edited by A. Mulero (Springer, to be published)
References in corpus (7)
- Inherent Rheology of a Granular Fluid in Uniform Shear Flow
- Transport properties of dense dissipitive hard-sphere fluids for arbitrary energy loss models
- Segregation in granular binary mixtures: Thermal diffusion
- Mass and heat fluxes for a binary granular mixture at low-density
- Navier-Stokes transport coefficients of -dimensional granular binary mixtures at low density
- Dynamics of a hard sphere granular impurity
- Uniform shear flow in dissipative gases. Computer simulations of inelastic hard spheres and (frictional) elastic hard spheres