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Constitutive relations for steady flows of dense granular liquids

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  • Lhuillier, Daniel

Abstract

The micropolar model is a continuum-mechanical model suited to describe a collection of particles interacting via forces and couples. When applied to dense granular liquids that model must display some specific features because of the peculiarities of the frictional forces. We want here to stress on some of those specific features including the existence of two kinds of fluctuating kinetic energies (for translation and rotation), their evolution equations in which enters the mean dissipation rate, and how an estimation (or numerical calculation) of the dissipation rate can lead to the constitutive laws of dense granular liquids in steady flows.

Suggested Citation

  • Lhuillier, Daniel, 2007. "Constitutive relations for steady flows of dense granular liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 267-275.
    • Handle: RePEc:eee:phsmap:v:383:y:2007:i:2:p:267-275
    DOI: 10.1016/j.physa.2007.04.052
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    References listed on IDEAS

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    1. Pierre Jop & Yoël Forterre & Olivier Pouliquen, 2006. "A constitutive law for dense granular flows," Nature, Nature, vol. 441(7094), pages 727-730, June.
    2. Edwards, S.F. & Oakeshott, R.B.S., 1989. "Theory of powders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1080-1090.
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