Capturing the S in segregation: A simple model of flowing granular mixtures in rotating drums

Abstract

Flowing granular mixtures in rotating cylindrical drums arise in numerous industrial settings and are of great technological significance worldwide. To date, the development of a robust mathematical model for this process remains an open research problem. However, simple mathematical models may be developed that capture some of the underlying mechanisms, including segregation. The key lies in the analysis of the flowing surface layer whose profile is characteristically S-shaped: past models have shown that capturing this characteristic is an essential ingredient in predicting segregation. Using secondary to first-year undergraduate level mathematics, an analysis is presented of the flowing s..