Hydrodynamics for a model of a confined quasi-two-dimensional granular gas

被引:15
作者
Javier Brey, J. [1 ]
Buzon, V. [1 ]
Maynar, P. [1 ]
Garcia de Soria, M. I. [1 ]
机构
[1] Univ Seville, Fis Teor, E-41080 Seville, Spain
来源
PHYSICAL REVIEW E | 2015年 / 91卷 / 05期
关键词
KINETIC-THEORY; HARD-SPHERES; LOW-DENSITY; FLOW; SHEAR; TRANSPORT;
D O I
10.1103/PhysRevE.91.052201
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The hydrodynamic equations for a model of a confined quasi-two-dimensional gas of smooth inelastic hard spheres are derived from the Boltzmann equation for the model, using a generalization of the Chapman-Enskog method. The heat and momentum fluxes are calculated to Navier-Stokes order, and the associated transport coefficients are explicitly determined as functions of the coefficient of normal restitution and the velocity parameter involved in the definition of the model. Also an Euler transport term contributing to the energy transport equation is considered. This term arises from the gradient expansion of the rate of change of the temperature due to the inelasticity of collisions, and it vanishes for elastic systems. The hydrodynamic equations are particularized for the relevant case of a system in the homogeneous steady state. The relationship previous works is analyzed.
引用
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页数:12
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