Author:
BRADY JOHN F.,MORRIS JEFFREY F.
Abstract
The effects of Brownian motion alone and in combination with an
interparticle force
of hard-sphere type upon the particle configuration in a strongly sheared
suspension
are analysed. In the limit Pe→∞ under the influence
of hydrodynamic interactions
alone, the pair-distribution function of a dilute suspension of spheres
has symmetry
properties that yield a Newtonian constitutive behaviour and
a zero self-diffusivity.
Here, Pe=γ˛a2/2D is
the
Péclet number with γ˛ the shear rate, a
the particle radius,
and D the diffusivity of an isolated particle. Brownian
diffusion at large Pe gives rise to an
O(aPe−1) thin boundary layer at contact
in which the effects of Brownian
diffusion and advection balance, and the pair-distribution function is
asymmetric
within the boundary layer with a contact value of
O(Pe0.78) in pure-straining motion;
non-Newtonian effects, which scale as the product of the contact value
and the
O(a3Pe−1) layer
volume,
vanish as Pe−0.22 as Pe→∞.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
377 articles.
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