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Shear stress of a monolayer of rough spheres

Published online by Cambridge University Press:  15 February 2002

HELEN J. WILSON  and
ROBERT H. DAVIS
HELEN J. WILSON
Affiliation:
Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
ROBERT H. DAVIS
Affiliation:
Department of Chemical Engineering, University of Colorado, Boulder, CO 80309-0424, USA
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Abstract

We consider viscous shear flow of a monolayer of solid spheres and discuss the effect that microscopic particle surface roughness has on the stress in the suspension. We consider effects both within and outside the dilute régime. Away from jamming concentrations, the viscosity is lowered by surface roughness, and for dilute suspensions it is insensitive to friction between the particles. Outside the dilute region, the viscosity increases with increasing friction coefficient. For a dilute system, roughness causes a negative first normal stress difference (N1) at order c2 in particle area concentration. The magnitude of N1 increases with increasing roughness height in the dilute limit but the trend reverses for more concentrated systems. N1 is largely insensitive to interparticle friction. The dilute results are in accord with the three-dimensional results of our earlier work (Wilson & Davis 2000), but with a correction to the sign of the tangential friction force.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 452 , 10 February 2002 , pp. 425 - 441
Copyright
© 2002 Cambridge University Press

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