Gray, JMNT and Thornton, AR (2005) A theory for particle size segregation in shallow granular free-surface flows. Proceedings of the Royal Society A, 461. pp. 1447-1473. ISSN 1364-5021
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Abstract
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-capturing numerical algorithm is formulated to solve general problems and is used to investigate segregation in flows with weak shear.
Item Type: | Article |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 70 Mechanics of particles and systems MSC 2010, the AMS's Mathematics Subject Classification > 74 Mechanics of deformable solids MSC 2010, the AMS's Mathematics Subject Classification > 86 Geophysics |
Depositing User: | Prof JMNT Gray |
Date Deposited: | 24 Mar 2006 |
Last Modified: | 20 Oct 2017 14:12 |
URI: | https://eprints.maths.manchester.ac.uk/id/eprint/193 |
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