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Long-range wall perturbations in dense granular flows

Published online by Cambridge University Press:  23 December 2014

Pierre G. Rognon ,
Thomas Miller ,
Bloen Metzger  and
Itai Einav
Pierre G. Rognon*
Affiliation:
Particles and Grains Laboratory, School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia IUSTI-CNRS UMR 7343, Aix-Marseille University, 13453 Marseille, France
Thomas Miller
Affiliation:
Particles and Grains Laboratory, School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia Department of Civil, Environmental and Geomatic Engineering, Faculty of Engineering Science, University College London, Gower Street, London WC1E 6BT, UK
Bloen Metzger
Affiliation:
IUSTI-CNRS UMR 7343, Aix-Marseille University, 13453 Marseille, France
Itai Einav
Affiliation:
Particles and Grains Laboratory, School of Civil Engineering, The University of Sydney, Sydney, NSW 2006, Australia
*
†Email address for correspondence: pierre.rognon@sydney.edu.au
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Abstract

We explore how the rheology of dense granular flows is affected by the presence of sidewalls. The study is based on discrete element method simulations of plane-shear flows between two rough walls, prescribing both the normal stress and the shear rate. Results confirm previous observations for different systems: large layers near the walls develop where the local viscosity is not constant, but decreases when approaching the walls. The size of these layers can reach several dozen grain diameters, and is found to increase when the flow decelerates, as a power law of the inertial number. Two non-local models are found to adequately explain such features, namely the kinetic elasto-plastic fluidity (KEP) model and the eddy viscosity model (EV). The analysis of the internal kinematics further shows that the vorticity and its associated length scale may be a key component of these non-local behaviours.

JFM classification

Mixing: Granular mixing Multiphase and Particle-laden Flows: Particle/fluid flow Non-Newtonian Flows: Rheology
Type
Papers
Information
Journal of Fluid Mechanics , Volume 764 , 10 February 2015 , pp. 171 - 192
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Copyright
© 2014 Cambridge University Press 

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