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An analytical determination of microstructure and stresses in a dense, sheared monolayer of non-Brownian spheres

Published online by Cambridge University Press:  12 December 2014

J. T. Jenkins  and
L. La Ragione
J. T. Jenkins*
Affiliation:
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14853, USA
L. La Ragione
Affiliation:
Dipartimento di Scienze dell’Ingegneria Civile e dell’Architettura, Politecnico di Bari, 70125 Bari, Italy
*
†Email address for correspondence: jtj2@cornell.edu
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Abstract

We propose an analytical model for the determination of the microstructure and stresses in a sheared suspension that consists of a dense monolayer of identical spheres in a viscous fluid. We calculate the anisotropy in the orientational distribution of spheres, associated with a short-range repulsive force assumed to act between the spheres, and a particle pressure and normal stress difference that result from this anisotropy. The microstructure and stresses are similar to those measured in Stokesian dynamics simulations.

JFM classification

Low-Reynolds-number flows: Stokesian dynamics Complex Fluids: Suspensions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 763 , 25 January 2015 , pp. 218 - 236
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Copyright
© 2014 Cambridge University Press 

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