PMID: 15244554Jul 13, 2004Paper

Velocity distribution for a two-dimensional sheared granular flow

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M Bose, V Kumaran

Abstract

The velocity distribution for a two-dimensional collection of disks of number density n per unit area and radius a in a channel of width L is studied. The particle-particle collisions are considered to be inelastic with a coefficient of restitution e, while the particle-wall coefficients of restitution are inelastic with a tangential and normal coefficients of restitution, e(t) and e(n), respectively. The Knudsen number, which is the ratio of the channel width and the mean free path of the particles, is varied from Kn<1 to Kn>1. In the limit of high Knudsen number, the distribution function for the streamwise velocity is bimodal, as predicted by theory [J. Fluid Mech. 340, 3l9 (1997)]], and the scalings of the moments of the velocity distribution with the Knudsen number are in agreement with the theory. In the low Knudsen number limit, the distribution function for the streamwise velocity is a Gaussian if the coefficient of restitution is close to 1, but assumes the form of a "composite Gaussian" if the coefficient of restitution is not close to 1. The distribution function has a complex structure in the intermediate regime, where there are three maxima in the distribution function near the wall, while the distribution function...Continue Reading

References

Oct 13, 2000·Physical Review Letters·F Rouyer, N Menon
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A Kudrolli, J Henry
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J S Olafsen, J S Urbach
Jun 5, 2003·Chaos·W. LosertJ. P. Gollub

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Citations

Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Olaf HerbstAnnette Zippelius
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexandre RosasKatja Lindenberg

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