Scaling laws for rapid granular flow

Scaling laws for predicting the rate-of-strain deformation dependence of the pressure tensor in the region of rapid granular flow for slightly inelastic frictionless spheres are derived. Results are obtained for three cases of the form of the coefficient of restitution which may relate to experiment...

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Bibliographic Details
Published in:Powder technology 1990, Vol.60 (1), p.47-60
Main Authors: Turner, M.C., Woodcock, L.V.
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Exact sciences and technology
Hydrodynamics of contact apparatus
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Summary:Scaling laws for predicting the rate-of-strain deformation dependence of the pressure tensor in the region of rapid granular flow for slightly inelastic frictionless spheres are derived. Results are obtained for three cases of the form of the coefficient of restitution which may relate to experimental circumstances. Each case gives a quite distinct type of rheological behaviour even though the limiting behaviour in all cases is analytically predictable from the equation-of-state and viscosity data of the hard-sphere fluid at equilibrium. The stress and dilatancy of spheres with a constant (velocity-indpendent) coefficient of restitution show discrepancies when compared with the kinetic theory predictions of Savage but generally compare favourably with experimental data.
ISSN:0032-5910
1873-328X
DOI:10.1016/0032-5910(90)80103-6