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The stress tensor in a two-dimensional granular shear flow

Published online by Cambridge University Press:  21 April 2006

Charles S. Campbell  and
Ailing Gong
Charles S. Campbell
Affiliation:
Department of Mechanical Engineering, University of Southern California. Los Angeles, California 90089–1453
Ailing Gong
Affiliation:
Department of Mechanical Engineering, University of Southern California. Los Angeles, California 90089–1453
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Abstract

A computer simulation is used to make a detailed study of the stress tensor in a simple shear flow of two-dimensional disks. The stresses are shown to arise from two momentum-transfer mechanisms: the 'streaming’ or kinetic mode. By which momentum is carried by particles are they move through the bulk material: and the collisional mode, by which momentum is transferred from one point to another in the material by interparticle collisions. As might be expected, the results show that the streaming mode dominates at disperse packings and the collisional mode dominates at dense packings. The friction coefficient, the ratio of shear to normal forces, is shown to decrease at high particle packing for both the collisional and streaming modes of transport. Normal-stress differences are observed within the shear plane and are evident in both the streaming and collisonal parts.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 164 , March 1986 , pp. 107 - 125
Copyright
© 1986 Cambridge University Press

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