Journal ArticleDOI
A fluid mechanistic approach to slow, frictional flow of powders
TLDR
In this paper, the Navier-Stokes equations are combined with a set of differential equations which take the place of these equations; however, only very few solutions of this set of equations exist.About:
This article is published in Powder Technology.The article was published on 1997-06-01. It has received 124 citations till now. The article focuses on the topics: Euler equations & Shallow water equations.read more
Citations
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Journal ArticleDOI
Rheophysics of dense granular materials: Discrete simulation of plane shear flows
TL;DR: From those dilatancy and friction laws, the constitutive law for dense granular flows is deduced, with a plastic Coulomb term and a viscous Bagnold term, for the limit of rigid grains.
Journal ArticleDOI
Analysis of a frictional-kinetic model for gas-particle flow
TL;DR: In this article, a frictional-kinetic rheological model for dense assemblies of solids in a gas-particle mixture is described, which treats the kinetic and frictional stresses additively.
Journal ArticleDOI
Adhesion of ultrafine particles—A micromechanical approach
TL;DR: In this article, a plate-plate model is used to calculate the soft micro-contact flattening and adhesion, and various contact deformation paths for loading, unloading and contact detachment are discussed.
Journal ArticleDOI
Viscosity bifurcation in granular materials, foams, and emulsions.
TL;DR: It is shown that the rheological properties of dry granular materials, as well as foams and emulsions, are similar to typical thixotropic fluids: under a sufficiently strong shear the viscosity decreases in time, leading to a hysteresis in an up-and-down stress ramp.
Journal ArticleDOI
Slow and intermediate flow of a frictional bulk powder in the Couette geometry
TL;DR: In this paper, the authors describe the rheological behavior of powders in the intermediate regime lying between the slow and rapid flow regimes, and derive an expression for the average stress that reduces to the quasi-static flow limit when fluctuations go to zero while, in the limit of large fluctuations, a liquid-like, viscous character is manifested by the bulk powder.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Journal ArticleDOI
Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield
TL;DR: In this paper, the authors studied the flow of an idealized granular material consisting of uniform smooth, but nelastic, spherical particles using statistical methods analogous to those used in the kinetic theory of gases.
Journal ArticleDOI
Instability in the evolution equations describing incompressible granular flow
TL;DR: In this paper, the Navier-Stokes equations for the flow of an incompressible, viscous fluid are derived and analyzed, and the main result is that depending on geometric and material parameters, the equations governing granular flow may lead to a violent instability analogous to that for u, = u XI up ;
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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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