Journal ArticleDOI
Gravity flow of cohesionless granular materials in chutes and channels
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In this article, a constitutive equation appropriate for flow of cohesionless granular materials at high deformation rates and low stress levels is proposed, which consists of an extension and a reinterpretation of the theory of Goodman & Cowin (1972).Abstract:
A constitutive equation appropriate for flow of cohesionless granular materials at high deformation rates and low stress levels is proposed. It consists of an extension and a reinterpretation of the theory of Goodman & Cowin (1972), and accounts for the non-Newtonian nature of the flow as evidenced by Bagnold's (1954) experiments. The theory is applied to analyses of gravity flows in inclined chutes and vertical channels. Experiments were set up in an attempt to generate two-dimensional shear flows corresponding to these analyses. Velocity profiles measured by a technique which makes use of fibre optic probes agree qualitatively with the theoretical predictions, but direct comparison is inappropriate because of unavoidable side-wall friction effects in the experiments. The existing measure of agreement suggests that the most prominent effects have been included in the proposed constitutive relations. Tests in the inclined chute revealed the possible existence of surge waves and granular jumps analogous to hydraulic jumps.read more
Citations
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The motion of a finite mass of granular material down a rough incline
Stuart B. Savage,Kolumban Hutter +1 more
TL;DR: In this article, two similarity solutions are found for the motion of a finite mass of material released from rest on a rough inclined plane, and the linear stability of the similarity solutions is studied.
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Discrete particle simulation of particulate systems: A review of major applications and findings
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Rapid granular flows
TL;DR: In this article, the authors present a review of the fluid-like behavior of granular solids and, in particular, those flows for which the material is rapidly sheared, and discuss various modeling techniques used to describe the motion of the bulk material.
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Physics of the Granular State
TL;DR: The generation of analogies between the physics found in a simple sandpile and that found in complicated microscopic systems, such as flux motion in superconductors or spin glasses, has prompted a number of new theories and to a new era of experimentation on granular systems.
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Grain flow as a fluid-mechanical phenomenon
TL;DR: In this paper, the behavior of granular material in motion is studied from a continuum point of view, where individual grains are treated as the "molecules" of a granular "fluid" and the resulting equations are nonlinear and coupled.
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