Unsteady non-Newtonian hydrodynamics in granular gases

被引：8
|
作者：
Astillero, Antonio [1 ]
Santos, Andres [2 ]
机构：
[1] Univ Extremadura, Dept Tecnol Comp & Comunicac, E-06800 Merida, Spain
[2] Univ Extremadura, Dept Fis, E-06071 Badajoz, Spain
来源：
PHYSICAL REVIEW E | 2012年 / 85卷 / 02期
关键词：
UNIFORM SHEAR-FLOW; KINETIC-THEORY; INVARIANCE-PRINCIPLE; BOLTZMANN-EQUATION; NONLINEAR VISCOSITY; STRESS TENSOR; COUETTE-FLOW; SIMULATION; EXTENSION; MIXTURES;
D O I：
10.1103/PhysRevE.85.021302
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 temporal evolution of a dilute granular gas, both in a compressible flow (uniform longitudinal flow) and in an incompressible flow (uniform shear flow), is investigated by means of the direct simulation Monte Carlo method to solve the Boltzmann equation. Emphasis is laid on the identification of a first "kinetic" stage (where the physical properties are strongly dependent on the initial state) subsequently followed by an unsteady "hydrodynamic" stage (where the momentum fluxes are well-defined non-Newtonian functions of the rate of strain). The simulation data are seen to support this two-stage scenario. Furthermore, the rheological functions obtained from simulation are well described by an approximate analytical solution of a model kinetic equation.
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页数：16
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