Instabilities in Granular Flow

Details Instabilities in Granular Flow Instabilities in Granular Flow

2000-07-14

arxiv.org/abs/cond-mat/0007236v1

Physics

Condensed Matter

Soft Condensed Matter

21 pages, 7 figues

Scientific paper

We consider the stability of a system of equations which are a singular perturbation of the incompressible rigid-plastic flow equations used to model granular flow. A linear stability analysis shows that solutions of these equations are unstable, in general, and that these instabilities may lead to ill-posedness. However, the analysis suggests that these equations are more regular, in a certain sense, than the unperturbed incompressible rigid-plastic flow equations. Numerical solutions are presented which illustrate the growth of instabilities and the development of shear-bands in the flows.

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