Phys. Rev. E 47, R1459 - R1462 (1993)Dynamic equilibrium in granular flow obtained by a nonlinear dynamic equation |
Jayanta K. Rudra
Department of Physics, Xavier University of Louisiana, Post Box 116c, 7325 Palmetto Street, New Orleans, Louisiana 70125
D. C. Hong
Department of Physics and Center for Polymer Science and Engineering, Lehigh University, Bethlehem, Pennsylvania 18015
Received 26 October 1992
We derive a nonlinear diffusion equation for a void density in the diffusing-void model of granular assembly [Phys. Rev. Lett. 67, 828 (1991)] and present numerical solutions when the assembly is in dynamic equilibrium. We find that the solutions exhibit unique features of the real granular flow patterns in a confined geometry with and without obstacles; notable examples are the ssV-shaped kink at the free surface, stagnant solids near the wall, and the shock front below the obstacle accompanied by the empty region.
©1993 The American Physical Society
URL: http://link.aps.org/abstract/PRE/v47/pR1459
DOI: 10.1103/PhysRevE.47.R1459
PACS: 05.40.+j, 46.10.+z, 64.60.Ht, 47.50.+d
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