Particle Interactions In Oscillatory Stokes Flow
Author(s)
M. S. Ingber & P. Vorobieff
Abstract
It has been observed both experimentally and numerically for relatively dense
suspension flows that small-amplitude oscillating Poiseuille flow results in particle
migration towards the high shear rate region of the flow field (pipe walls), whereas,
large-amplitude oscillating Poiseuille flow results in particle migration towards the
low shear rate region of the flow field (pipe centerline). To date, there has been
no satisfactory explanation as to why the period of oscillation has this effect on
the direction of particle migration. In the current paper, we demonstrate through
numerical simulation the same behavior in two-particle systems which provides
a first principle explanation of at least one cause for this phenomenon in dense
suspension flows. The numerical analysis is based on a semi-analytic solution for
the motion of two spheres suspended in arbitrary, unbounded shear flow.
Keywords
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