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Boundary conditions at a rigid wall for rough granular gases

Nott, Prabhu R (2011) Boundary conditions at a rigid wall for rough granular gases. In: Journal of Fluid Mechanics, 678 . pp. 179-202.

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We derive boundary conditions at a rigid wall for a granular material comprising rough, inelastic particles. Our analysis is confined to the rapid flow, or granular gas, regime in which grains interact by impulsive collisions. We use the Chapman-Enskog expansion in the kinetic theory of dense gases, extended for inelastic and rough particles, to determine the relevant fluxes to the wall. As in previous studies, we assume that the particles are spheres, and that the wall is corrugated by hemispheres rigidly attached to it. Collisions between the particles and the wall hemispheres are characterized by coefficients of restitution and roughness. We derive boundary conditions for the two limiting cases of nearly smooth and nearly perfectly rough spheres, as a hydrodynamic description of granular gases comprising rough spheres is appropriate only in these limits. The results are illustrated by applying the equations of motion and boundary conditions to the problem of plane Couette flow.

Item Type: Journal Article
Publication: Journal of Fluid Mechanics
Publisher: Cambridge University Press
Additional Information: Copyright of this article belongs to Cambridge University Press.
Keywords: granular media;kinetic theory
Department/Centre: Division of Mechanical Sciences > Chemical Engineering
Date Deposited: 18 Jul 2011 08:52
Last Modified: 18 Jul 2011 08:52
URI: http://eprints.iisc.ac.in/id/eprint/39095

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