An H-theorem for the Enskog equation of a binary mixture of dissimilar hard spheres

1997 ◽  
Vol 106 (1) ◽  
pp. 236-246 ◽  
Author(s):  
Patricia Goldstein ◽  
L. S. Garcı́a-Colı́n
Keyword(s):  
Binary Mixture ◽  
Hard Spheres ◽  
Enskog Equation ◽  
H Theorem

Kinetic theory of simple granular shear flows of smooth hard spheres

1999 ◽  
Vol 389 ◽  
pp. 391-411 ◽  
Author(s):  
J. M. MONTANERO ◽  
V. GARZÓ ◽  
A. SANTOS ◽  
J. J. BREY
Keyword(s):  
Shear Flows ◽  
Hard Spheres ◽  
Simulation Method ◽  
Enskog Equation ◽  
Direct Monte Carlo Simulation ◽  
Granular Temperature ◽  
Model Kinetic Equation ◽  
Critical Comparison ◽  
Small Dissipation ◽  
Good Agreement

Steady simple shear flows of smooth inelastic spheres are studied by means of a model kinetic equation and also of a direct Monte Carlo simulation method. Both approaches are based on the Enskog equation and provide for each other a test of consistency. The dependence of the granular temperature and of the shear and normal stresses on both the solid fraction and the coefficient of restitution is analysed. Quite a good agreement is found between theory and simulations in all cases. Also, simplified expressions based on the analytical solution of the model for small dissipation are shown to describe fairly well the simulation results even for not small inelasticity. A critical comparison with previous theories is carried out.

scholarly journals Monte Carlo Simulation of a Binary Mixture of Hard Rods and Hard Spheres

2000 ◽  
Vol 138 ◽  
pp. 476-477 ◽  
Author(s):  
Tomonori Koda ◽  
Yoshiyuki Sato ◽  
Susumu Ikeda
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Binary Mixture ◽  
Hard Spheres ◽  
Hard Rods
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