Momentum Transport in Granular Flows

Details Momentum Transport in Granular Flows Momentum Transport in Granular Flows

2006-02-10

arxiv.org/abs/cond-mat/0602277v1

Computers and Mathematics with Applications 55, 175 (2008)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

We investigate the error induced by only considering binary collisions in the momentum transport of hard-sphere granular materials, as is done in kinetic theories. In this process, we first present a general microscopic derivation of the momentum transport equation and compare it to the kinetic theory derivation, which relies on the binary collision assumption. These two derivations yield different microscopic expressions for the stress tensor, which we compare using simulations. This provides a quantitative bound on the regime where binary collisions dominate momentum transport and reveals that most realistic granular flows occur in the region of phase space where the binary collision assumption does not apply.

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