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Scaling laws for segregation forces in dense sheared granular flows

Published online by Cambridge University Press:  18 October 2016

François Guillard ,
Yoël Forterre  and
Olivier Pouliquen
François Guillard*
Affiliation:
Aix-Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France Particles and Grains Laboratory, School of Civil Engineering, University of Sydney, NSW 2006, Australia
Yoël Forterre
Affiliation:
Aix-Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France
Olivier Pouliquen
Affiliation:
Aix-Marseille Université, CNRS, IUSTI UMR 7343, 13453 Marseille, France
*
†Email address for correspondence: francois.guillard@sydney.edu.au
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Abstract

In order to better understand the mechanism governing segregation in dense granular flows, the force experienced by a large particle embedded in a granular flow made of small particles is studied using discrete numerical simulations. Accurate force measurements have been obtained in a large range of flow parameters by trapping the large particle in a harmonic potential well to mimic an optical tweezer. Results show that positive or negative segregation lift forces (perpendicular to the shear) exist depending on the stress inhomogeneity. An empirical expression of the segregation force is proposed as a sum of a term proportional to the gradient of pressure and a term proportional to the gradient of shear stress, which both depend on the local friction and particle size ratio.

JFM classification

Granular media: Granular media Mixing: Granular mixing
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 807 , 25 November 2016 , R1
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Copyright
© 2016 Cambridge University Press 

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