The hydrodynamic force resisting the approach of a sphere to a plane permeable wall

The solution of the creeping equations of motion in bispherical coordinates is used to calculate the hydrodynamic force resisting the approach of a sphere toward a permeable wall. This force increases as the gap is reduced but the increase becomes significantly less pronounced as the permeability of...

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Bibliographic Details
Published in:Journal of colloid and interface science 1979-03, Vol.69 (1), p.78-85
Main Author: Goren, Simon L
Format: Article
Language:English
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Summary:The solution of the creeping equations of motion in bispherical coordinates is used to calculate the hydrodynamic force resisting the approach of a sphere toward a permeable wall. This force increases as the gap is reduced but the increase becomes significantly less pronounced as the permeability of the wall increases. For finite wall permeability, a finite hydrodynamic force on the sphere is expected even for the sphere “touching” the wall. This is in contrast to the infinitely large drag force predicted for impermeable walls.
ISSN:0021-9797
1095-7103
DOI:10.1016/0021-9797(79)90082-1