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Kinetic theory of simple granular shear flows of smooth hard spheres

Published online by Cambridge University Press:  25 June 1999

J. M. MONTANERO ,
V. GARZÓ ,
A. SANTOS  and
J. J. BREY
J. M. MONTANERO
Affiliation:
Departamento de Electrónica e Ingeniería Electromecánica, Universidad de Extremadura, E-06071 Badajoz, Spain
V. GARZÓ
Affiliation:
Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain
A. SANTOS
Affiliation:
Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain
J. J. BREY
Affiliation:
Física Teórica, Universidad de Sevilla, E-41080 Sevilla, Spain
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Abstract

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 389 , 25 June 1999 , pp. 391 - 411
Copyright
© 1999 Cambridge University Press

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