Boundary conditions at a rigid wall for rough granular gases


Autoria(s): Nott, Prabhu R
Data(s)

2011

Resumo

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.

Formato

application/pdf

Identificador

http://eprints.iisc.ernet.in/39095/1/Boundary.pdf

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

Publicador

Cambridge University Press

Relação

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8307301

http://eprints.iisc.ernet.in/39095/

Palavras-Chave #Chemical Engineering
Tipo

Journal Article

PeerReviewed