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Granular Patterns$
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Igor Aranson and Lev Tsimring

Print publication date: 2008

Print ISBN-13: 9780199534418

Published to Oxford Scholarship Online: January 2009

DOI: 10.1093/acprof:oso/9780199534418.001.0001

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Patterns in gravity-driven granular flows

Patterns in gravity-driven granular flows

(p.117) 6 Patterns in gravity-driven granular flows
Granular Patterns

Igor S. Aranson

Lev S. Tsimring

Oxford University Press

This chapter provides an overview of mechanisms and theoretical models of pattern formation in dense gravity-driven granular flows. A wide range of phenomena, from one- and two-dimensional avalanches flowing upon inclined planes, instabilities and fingering of avalanche fronts, flows in rotating drums to self-organized criticality and statistics of granular avalanches, are considered. In the majority of gravity-driven granular flows, the motion is confined at the surface of the granular system. Various approaches are used to describe surface flows, including depth-averaged hydrodynamic equations (the Saint-Venant model), two-phase models rolling and static fractions of erodible granular flows (Bouchaud, Cates, Ravi Prakash, and Edwards equations), and order parameter models for partially fluidized granular flows.

Keywords:   surface flows, two-phase model, fluidization transition, granular hydrodynamics, Saint-Venant model, Bouchaud, Cates, Ravi Prakash, Edwards, order parameter models

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