Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 461, Issue 2057, Pages 1447-1473Publisher
ROYAL SOC
DOI: 10.1098/rspa.2004.1420
Keywords
granular flow; particle size segregation; kinetic sieving; shocks
Categories
Funding
- Engineering and Physical Sciences Research Council [GR/S50052/01, GR/S50069/01] Funding Source: researchfish
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Granular materials composed of a mixture of grain sizes are notoriously prone to segregation during shaking or transport. In this paper, a binary mixture theory is used to formulate a model for kinetic sieving of large and small particles in thin, rapidly flowing avalanches, which occur in many industrial and geophysical free-surface flows. The model is based on a simple percolation idea, in which the small particles preferentially fall into underlying void space and lever large particles upwards. Exact steady-state solutions have been constructed for general steady uniform velocity fields, as well as time-dependent solutions for plug-flow, that exploit the decoupling of material columns in the avalanche. All the solutions indicate the development of concentration shocks, which are frequently observed in experiments. A shock-eapturing numerical algorithm is formulated to solve general problems and is used to investigate segregation in flows with weak shear.
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