Kumaran, V.
(2005)
*Kinetic model for sheared granular flows in the high Knudsen number limit*
Physical Review Letters, 95
(10).
108001_1-108001_4.
ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v95/i10/e108001

Related URL: http://dx.doi.org/10.1103/PhysRevLett.95.108001

## Abstract

The sheared granular flow of rough inelastic 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 ε=(nσL), which is the ratio of the frequencies of particle-particle and particle-wall collisions, where n is the number of disks per unit area, σ 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 state 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 mean square velocities scale as a power of ε in the limit ε→0. Both of these predictions are shown to be in quantitative agreement with computer simulations.

Item Type: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |

ID Code: | 18562 |

Deposited On: | 17 Nov 2010 09:28 |

Last Modified: | 06 Jun 2011 05:28 |

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