Abstract:
The avalanche mixing of granular solids in a slowly rotated 2D upright drum is studied. We demonstrate that the account of the difference δ between the angle of marginal stability and the angle of repose of the granular material leads to a restricted value of the mixing time τ 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 δ is an integer part of π. Introduction of fluctuations of δ suppresses the singularities of τ(δ) and smoothes the dependence τ(δ).
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Received 27 October 2000 and Received in final form 13 March 2001
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Dorogovtsev, S., Mendes, J. Time of avalanche mixing of granular materials in a half filled drum. Eur. Phys. J. E 5, 441–444 (2001). https://doi.org/10.1007/s101890170050
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DOI: https://doi.org/10.1007/s101890170050