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Anomalous effect of turning off long-range mobility interactions in Stokesian dynamics

In Stokesian dynamics, particles are assumed to interact in two ways: through long-range mobility interactions and through short-range lubrication interactions. To speed up computations, in shear-driven concentrated suspensions, often found in rheometric contexts, it is common to consider only lubri...

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Bibliographic Details
Published in:Physics of fluids (1994) 2018-07, Vol.30 (7)
Main Authors: Townsend, Adam K., Wilson, Helen J.
Format: Article
Language:English
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Summary:In Stokesian dynamics, particles are assumed to interact in two ways: through long-range mobility interactions and through short-range lubrication interactions. To speed up computations, in shear-driven concentrated suspensions, often found in rheometric contexts, it is common to consider only lubrication. We show that, although this approximation may provide acceptable results in shear-driven periodic suspensions, for bidisperse suspensions where the particles are exposed to an external force, it can produce physically unreasonable results. We suggest that this problem could be mitigated by a careful choice of particle pairs on which lubrication interactions should be included.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.5031860