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Journal ArticleDOI

Rapid granular flows

Isaac Goldhirsch
- 28 Nov 2003 - 
- Vol. 35, Iss: 35, pp 267-293
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TLDR
A recent avalanche of research activity in the field of granular hydrodynamics has yielded much progress as discussed by the authors, which has led to the discovery of new states and patterns and enabled detailed tests of theories and models.
Abstract
▪ Abstract The recent avalanche of research activity in the field of granular matter has yielded much progress. The use of state-of-the-art (and other) computational and experimental methods has led to the discovery of new states and patterns and enabled detailed tests of theories and models. The application of statistical mechanical methods and phenomenology has contributed to the understanding of the microscopic a nd macroscopic properties of granular systems. Some previously open problems seem to be solved. Fluidized granular systems (rapid granular flows), recently referred to as granular gases, are often modeled by hydrodynamic equations of motion, some of which are based on systematic expansions applied to the pertinent Boltzmann equation. The undeniable success of granular hydrodynamics is somewhat surprising in view of the lack of scale separation in these systems and the neglect of certain correlations in most derivations of the hydrodynamic equations. Microstructures have been recognized as key ...

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A constitutive law for dense granular flows

TL;DR: The results support the idea that a simple visco-plastic approach can quantitatively capture granular flow properties, and could serve as a basic tool for modelling more complex flows in geophysical or industrial applications.
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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.
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Flows of Dense Granular Media

TL;DR: In this article, the existence of a dense flow regime characterized by enduring contacts is discussed, and results from experiments and simulations in different configurations support a description in terms of a frictional visco-plastic constitutive law.
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Patterns and collective behavior in granular media: Theoretical concepts

TL;DR: In this paper, the authors survey a number of situations in which nontrivial patterns emerge in granular systems, elucidates important distinctions between these phenomena and similar ones occurring in continuum fluids, and describes general principles and models of pattern formation in complex systems that have been successfully applied to granular system.
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Animating sand as a fluid

TL;DR: In this article, a physics-based simulation method for animating sand is presented, which abstracts away the individual grains and allows for efficiently scaling up to large volumes of sand, by modeling the sand as a continuum.
References
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Journal ArticleDOI

Self-organized criticality: An explanation of the 1/ f noise

TL;DR: It is shown that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point, and flicker noise, or 1/f noise, can be identified with the dynamics of the critical state.
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

Granular solids, liquids, and gases

TL;DR: Granular materials are ubiquitous in the world around us as discussed by the authors and have properties that are different from those commonly associated with either solids, liquids, or gases, and some of the special properties of granular materials and describe recent research developments.
Journal ArticleDOI

Frictional–collisional constitutive relations for granular materials, with application to plane shearing

TL;DR: In this article, the authors propose constitutive relations and boundary conditions for plane shear of a cohesionless granular material between infinite horizontal plates, and show that not all the material between the plates participates in shearing and the solutions for the shearing material are coupled to a yield condition for the non-shearing material to give a complete solution of the problem.
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