Author:
CHENG HONGWEI,PAPANICOLAOU GEORGE
Abstract
We calculate the force on a periodic array of spheres in a viscous
flow
at small
Reynolds number and for small volume fraction. This generalizes the known
results
for the force on a periodic array due to Stokes flow (zero Reynolds number)
and the
Oseen correction to the Stokes formula for the force on a single sphere
(zero volume
fraction). We use a generalization of Hasimoto's approach that is
based on an
analysis of periodic Green's functions. We compare our results to
the
phenomenological ones of Kaneda for viscous flow past a random array
of spheres.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
13 articles.
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