Granular Flows: Steady Planar Chute Flow within Slightly Bumpy Walls
Publication: Journal of Engineering Mechanics
Volume 121, Issue 3
Abstract
The Wentzel, Kramers, and Brillouin (WKB) asymptotic approximation is used to produce an analytical solution for the bounded, gravity-driven flow of smooth, uniform disks in the limit where the wall-form roughness is small and slip is large. A unique, steady solution is obtained for all channel slopes, in contrast with previous experiments. However, this apparent contrast can be explained by the fact that the large travel distances required to develop the very rapid flows predicted may exceed the practical limits for experimental observation. The slip speed governs the rate of mass transport, and is shown to be inversely proportional to the wall roughness, and directly proportional to the square root of the channel slope and channel width. The spatial variation in fluctuation speed is primarily governed by the energy dissipative characteristics of the disks. However, the ratio of slip speed to fluctuation speed at the wall is inversely related to both the wall elasticity and wall-form roughness.
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Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 3 • March 1995
Pages: 406 - 413
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Mar 1, 1995
Published in print: Mar 1995
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