Kinetic Model for Sheared Granular Flows in the High Knudsen Number Limit

Kumaran, V (2005) Kinetic Model for Sheared Granular Flows in the High Knudsen Number Limit. In: Physical Review Letters, 95 (10).

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Abstract

The sheared granular flow of rough in elastic granular disks is analyzed in the high Knudsen number limit, where the frequency of particle-wall collisions is large compared with particle-particle collisions, using a kinetic theory approach. An asymptotic expansion is used in the small parameter \epsilon=(n \sigma L), which is the ratio of the frequencies of particle-particle and particle-wall collisions, where n is the number of disks per unit area, \sigma is the disk diameter, and L is the channel width. The collisions are specified using a normal coefficient of restitution $e_{n}$ and a tangential coefficient of restitution $e_{t}$.The analysis identifies two regions in the $e_{t}-e_{n}$ parameter space,one where the final steady tate is a static one in which the translational velocities of all particles decrease to zero, and the second where the final steady state is a dynamic one in which the meansquare velocities scale as a power of \epsilon in the limit \epsilon -> 0. Both of these predictions are shown to be in quantitative agreement with computer simulations.

Item Type:	Journal Article
Publication:	Physical Review Letters
Publisher:	American Physical Society
Additional Information:	Copyright for this article belongs to American Physical Society.
Department/Centre:	Division of Mechanical Sciences > Chemical Engineering
Date Deposited:	04 Oct 2005
Last Modified:	19 Sep 2010 04:20
URI:	http://eprints.iisc.ac.in/id/eprint/3766

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