Rheological Equations in Asymptotic Regimes of Granular Flow
Publication: Journal of Engineering Mechanics
Volume 124, Issue 3
Abstract
This paper assesses the validity of the generalized viscoplastic fluid (GVF) model in light of the established constitutive relations in two asymptotic flow regimes, namely, the macroviscous and grain-inertia regimes. A comprehensive review of the literature on constitutive relations in both regimes reveals that except for some material constants, such as the coefficient of restitution, the normalized shear stress in both regimes varies only with the grain concentration, C. It is found that Krieger-Dougherty's relative viscosity, μ*(C), is sufficiently coherent among the monotonically nondecreasing functions of C used in describing the variation of the shear stress with C in both regimes. It not only accurately represents the C-dependent relative viscosity of a suspension in the macroviscous regime, but also plays a role of the radial distribution function that describes the statistics of particle collisions in the grain-inertia regime. Use of μ*(C) alone, however, cannot link the two regimes. Another parameter, the shear-rate number, N, is needed in modeling the rheology of neutrally buoyant granular flows in transition between the two asymptotic regimes. The GVF model proves compatible with most established relations in both regimes.
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Published In
Journal of Engineering Mechanics
Volume 124 • Issue 3 • March 1998
Pages: 301 - 310
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Copyright © 1998 American Society of Civil Engineers.
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Published online: Mar 1, 1998
Published in print: Mar 1998
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