Effect of higher-order and lubrication terms on the stability of polygonal arrangements of sedimenting spheres

Studies of the sedimentation of n identical spheres placed at the vertices of a horizontal regular polygon have shown that the arrangement is stable for n≤6 and unstable for n>6 when the spheres are widely separated. At such separations, only the Stokeslet is significant. At very small separation...

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Bibliographic Details
Published in:Powder technology 2014-09, Vol.264, p.519-526
Main Authors: Bargieł, Monika, Tory, Elmer M.
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Exact sciences and technology
Liquid-liquid and fluid-solid mechanical separations
Lubrication terms
Miscellaneous
Regular polygons
Sedimentation
Settling
Solid-solid systems
Stability
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Summary:Studies of the sedimentation of n identical spheres placed at the vertices of a horizontal regular polygon have shown that the arrangement is stable for n≤6 and unstable for n>6 when the spheres are widely separated. At such separations, only the Stokeslet is significant. At very small separations, higher-order terms and lubrication effects must be taken into account. The hexagon is stable at all separations. For 6
ISSN:0032-5910
1873-328X
DOI:10.1016/j.powtec.2014.05.041