Avalanche mixing of granular solids in a rotating 2D drum: diffusion and fractionality
Dorogovtsev, S. N.
Original · EN
The dynamics of the avalanche mixing in a slowly rotated 2D upright drum is studied in the situation where the difference δ 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 δ is an integer part of π. The characteristic mixing time tends to infinity in these points. A full dependence of the mixing time on δ is calculated and predictions for an experiment are made.
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