Time of avalanche mixing of granular materials in a half filled rotated drum

Details Time of avalanche mixing of granular materials in a half filled rotated drum Time of avalanche mixing of granular materials in a half filled rotated drum

2000-07-25

arxiv.org/abs/cond-mat/0007386v1

Eur. Phys. J. E 5, 441 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex (twocolumn, psfig), 2 figures

Scientific paper

10.1007/s101890170050

The avalanche mixing of granular solids in a slowly rotated 2D upright drum is studied. We demonstrate that the account of the difference $\delta$ between the angle of marginal stability and the angle of repose of the granular material leads to a restricted value of the mixing time $\tau$ for a half filled drum. The process of mixing is described by a linear discrete difference equation. We show that the mixing looks like linear diffusion of fractions with the diffusion coefficient vanishing when $\delta$ is an integer part of $\pi$. Introduction of fluctuations of $\delta$ supresses the singularities of $\tau(\delta)$ and smoothes the dependence $\tau(\delta)$.

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