Numéro |
J. Phys. I France
Volume 4, Numéro 4, April 1994
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Page(s) | 507 - 514 | |
DOI | https://doi.org/10.1051/jp1:1994156 |
J. Phys. I France 4 (1994) 507-514
Density waves in granular flow: a kinetic wave approach
Jysoo Lee and Michael LeibigHLRZ-KFA Jülich, Postfach 1913, W-5170 Jülich, Germany
(Received 15 November 1993, received in final form 16 December 1993, accepted 3 January 1994)
Abstract
It was recently observed that sand flowing down a vertical tube
sometimes forms a traveling density pattern in which a number of
regions with high density are separated from each other by regions
of low density. In this work, we consider this behavior from the
point of view of kinetic wave theory. Similar density patterns are
found in molecular dynamic simulations of the system, and a well
defined relationship is observed between local flux and local
density - a strong indicator of the presence of kinetic waves.
The equations of motion for this system are also presented,
and they allow kinetic wave solutions. Finally, the pattern
formation process is investigated using a simple model of
interacting kinetic waves.
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