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RESEARCH PAPERS

Boundary Conditions for Rapid Granular Flow: Flat, Frictional Walls

[+] Author and Article Information
J. T. Jenkins

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853-1503

J. Appl. Mech 59(1), 120-127 (Mar 01, 1992) (8 pages) doi:10.1115/1.2899416 History: Received May 10, 1990; Revised November 20, 1990; Online March 31, 2008

Abstract

We employ Coulomb friction and both tangential and normal restitution in a model for a collision between a homogeneous sphere and a flat wall. We calculate the impulse and change in kinetic energy in typical collisions and use a particularly simple velocity distribution function to obtain the rates at which momenta and energy are supplied to the flow over a unit area of the wall. From these, we determine boundary conditions that relate the shear stress and energy flux in the flow at the wall to the normal stress, slip velocity, and fluctuation energy and to the parameters that characterize a collision.

Copyright © 1992 by The American Society of Mechanical Engineers
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