Avalanche mixing of granular solids in a rotating 2D drum and discrete mapping

TL;DR

This paper models the mixing process of granular solids in a rotating 2D drum using a discrete mapping approach, providing analytical insights into mixing time and material distribution.

Contribution

It introduces an analytical model for granular mixing in a rotating 2D drum based on discrete mapping, highlighting the process at the free surface.

Findings

Calculated characteristic mixing time

Derived distribution of mixed material

Provided analytical framework for granular mixing

Abstract

Evolution of mixing of granular solids in a slowly rotated 2D drum is considered as a discrete mapping. The rotation is around the axis of the upright drum which is filled partially, and the mixing occurs only at a free surface of a material. The most simple cases that demonstrate clearly the essence of such a type of mixing are studied analytically. We calculate the characteristic time of the mixing and the distribution of the mixed material over the drum.