Avalanche mixing of granular solids in a rotating 2D drum: diffusion and fractionality

Details Avalanche mixing of granular solids in a rotating 2D drum: diffusion and fractionality Avalanche mixing of granular solids in a rotating 2D drum: diffusion and fractionality

1998-07-29

arxiv.org/abs/cond-mat/9807386v2

Physics

Condensed Matter

7 pages (epsf-LaTeX) and 2 EPS figures, a misprint is corrected

Scientific paper

The dynamics of the avalanche mixing in a slowly rotated 2D upright drum is studied in the situation where the difference $\delta$ between the angle of marginal stability and the angle of repose of the granular material is finite. An analytical solution of the problem is found for a half filled drum, that is the most interesting case. The mixing is described by a simple linear difference equation. We show that the mixing looks like linear diffusion of fractions under consideration with the diffusion coefficient vanishing when $\delta$ is an integer part of $\pi$. The characteristic mixing time tends to infinity in these points. A full dependence of the mixing time on $\delta$ is calculated and predictions for an experiment are made.

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