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Kinetic theory of simple granular shear flows of smooth hard spheres. (English) Zbl 0948.76080

Summary: Steady simple shear flows of smooth inelastic spheres are studied by means of a model kinetic equation and also by 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 shear and normal stresses on both the solid fraction and the coefficient of restitution is analyzed. 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.

MSC:

76T25 Granular flows
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
74E20 Granularity
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