BOLTZMANN-LIKE MODELLING OF A SUSPENSION

Author:

CROIZET C.1,GATIGNOL R.1

Affiliation:

1. Laboratoire de Modélisation en Mécanique, UPMC et CNRS UMR 7607, Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris cedex 05, France

Abstract

This paper deals with the presentation of a kinetic model for a suspension of identical hard spheres. Considering that the collisions between particles are instantaneous, binary, inelastic and taking the diameter of the spheres into account, a Boltzmann equation for the dispersed phase is proposed. It allows one to obtain the conservation of mass and momentum as well as, for slightly inelastic collisions, an H-theorem which conveys the irreversibility of the evolution. The problem of the boundary conditions for the Boltzmann equation is then introduced. From an anisotropic law of rebound characterizing the inelastic and non-punctual impact of a particle to the wall, a parietal behavior for the first moments of the kinetic equation is deduced.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Grad’s Moment Description of a Heterogeneous Dispersed Media in the Frame of the Standard Enskog Theory;AIP Conference Proceedings;2011

2. Semi-active suspension system simulation using Simulink;International Journal of Engineering Systems Modelling and Simulation;2009

3. Nonlinear convection-dispersion models with a localized pollutant source, II—A class of inverse problems;Mathematical and Computer Modelling;2005-09

4. A BGK model for a suspension of inelastic spheres;Mathematical and Computer Modelling;2005-05

5. On Solutions to the Linear Boltzmann Equation for Granular Gases;Transport Theory and Statistical Physics;2004-08

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