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A mixture theory for size and density segregation in shallow granular free-surface flows

Published online by Cambridge University Press:  14 May 2014

D. R. Tunuguntla ,
O. Bokhove  and
A. R. Thornton
D. R. Tunuguntla*
Affiliation:
Mathematics of Computational Science group, University of Twente, The Netherlands Multi-Scale Mechanics group, MESA+, University of Twente, The Netherlands
O. Bokhove
Affiliation:
Mathematics of Computational Science group, University of Twente, The Netherlands School of Mathematics, University of Leeds, UK
A. R. Thornton
Affiliation:
Mathematics of Computational Science group, University of Twente, The Netherlands Multi-Scale Mechanics group, MESA+, University of Twente, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

In the past ten years much work has been undertaken on developing mixture theory continuum models to describe kinetic sieving-driven size segregation. We propose an extension to these models that allows their application to bidisperse flows over inclined channels, with particles varying in density and size. Our model incorporates both a recently proposed explicit formula for how the total pressure is distributed among different species of particles, which is one of the key elements of mixture theory-based kinetic sieving models, and a shear rate-dependent drag. The resulting model is used to predict the range of particle sizes and densities for which the mixture segregates. The prediction of no segregation in the model is benchmarked by using discrete particle simulations, and good agreement is found when a single fitting parameter is used which determines whether the pressure scales with the diameter, surface area or volume of the particle.

JFM classification

Granular media: Granular media
Type
Papers
Information
Journal of Fluid Mechanics , Volume 749 , 25 June 2014 , pp. 99 - 112
Copyright
© 2014 Cambridge University Press 

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