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A Monte Carlo solution for rapidly shearing granular flows based on the kinetic theory of dense gases

Published online by Cambridge University Press:  26 April 2006

Mark A. Hopkins  and
Hayley H. Shen
Mark A. Hopkins
Affiliation:
US Army Corps of Engineers Cold Regions Research and Engineering Laboratory, 72 Lyme Road, Hanover, NH 03755. USA
Hayley H. Shen
Affiliation:
Department of Civil and Environmental Engineering, Clarkson University, Potsdam, NY 13676, USA
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Abstract

A Monte Carlo simulation is developed for the study of rapidly deforming, steady, simple shear flows of inelastic disks or spheres. The simulation is based on the theoretical framework of the kinetic theory of dense gases. In the simulation, space is discarded in an explicit sense and replaced by an isotropic, homogeneous, and uncorrelated space based on the assumption of a state of simple shear, a uniform concentration field, and molecular chaos. The simulation generates a distribution of particle velocities which corresponds to the parameters of the flow. The velocity distribution is a numerical solution to the Boltzmann equation under these conditions. The Monte Carlo simulation defines the limits to the accuracy of analytical granular flow theories based on the kinetic theory and the assumption of molecular chaos.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 244 , November 1992 , pp. 477 - 491
Copyright
© 1992 Cambridge University Press

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