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Phys. Rev. E 65, 061303 (2002) [20 pages]

Continuum theory of partially fluidized granular flows

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Igor S. Aranson1 and Lev S. Tsimring2
1Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439
2Institute for Nonlinear Science, University of California, San Diego, La Jolla, California 92093-0402

Received 19 September 2001; revised 18 January 2002; published 21 June 2002

A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order-parameter equation which describes the transition between the flowing and static components of the granular system. We apply this theory to several important granular problems: avalanche flow in deep and shallow inclined layers, rotating drums, and shear granular flows between two plates. We carry out quantitative comparisons between the theory and experiment.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.061303
DOI:
10.1103/PhysRevE.65.061303
PACS:
45.70.Mg, 47.54.+r, 47.35.+i