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Phys. Rev. Lett. 105, 268303 (2010) [4 pages]

Shear Thickening and Migration in Granular Suspensions

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Abdoulaye Fall1,2, Anaël Lemaître1, François Bertrand1, Daniel Bonn2,3, and Guillaume Ovarlez1
1Université Paris Est, Laboratoire Navier (CNRS UMR 8205), 2 allée Kepler, 77420 Champs sur Marne, France
2Van der Waals-Zeeman Institute, University of Amsterdam, Valckenierstraat 65, 1018XE Amsterdam, The Netherlands
3Laboratoire de Physique Statistique, Ecole Normale Supérieure, 24 Rue Lhomond, 75005 Paris, France

Received 8 June 2010; published 22 December 2010

We study the emergence of shear thickening in dense suspensions of non-Brownian particles. We combine local velocity and concentration measurements using magnetic resonance imaging with macroscopic rheometry experiments. In steady state, we observe that the material is heterogeneous, and we find that the local rheology presents a continuous transition at low shear rate from a viscous to a shear thickening, Bagnoldian, behavior with shear stresses proportional to the shear rate squared, as predicted by a scaling analysis. We show that the heterogeneity results from an unexpectedly fast migration of grains, which we attribute to the emergence of the Bagnoldian rheology. The migration process is observed to be accompanied by macroscopic transient discontinuous shear thickening, which is consequently not an intrinsic property of granular suspensions.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.105.268303
DOI:
10.1103/PhysRevLett.105.268303
PACS:
83.80.Hj, 83.60.Fg