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Model for the interparticle surface separation in concentrated mono‐ and polydisperse suspensions
Author(s) -
Hoffmann A. C.,
Kevelam J.
Publication year - 1999
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690450209
Subject(s) - suspension (topology) , volume fraction , atomic packing factor , particle (ecology) , surface (topology) , materials science , packed bed , colloid , volume (thermodynamics) , thermodynamics , chromatography , chemistry , physics , geometry , composite material , crystallography , mathematics , geology , oceanography , homotopy , pure mathematics
The interparticle surface separation in mono‐ and polydisperse concentrated suspensions of spherical particles is discussed. For monosized particles, it is shown that the “expansion” argument of Frankel and Acrivos (1967) can be extended from cubic to arbitrary packing geometries. This argument is then further extended to polydisperse suspensions, resulting in an equation of the same form, but incorporating the surface mean particle diameter for the interparticle surface separation in terms of the packing fraction of the equivalent packed bed (a packed bed with the same packing geometry as the suspension) and that of the suspension. Another approach to interparticle surface separation in suspensions (the “volume of free liquid” argument) confirms the usefulness of the surface mean particle diameter for polydisperse suspensions. A relation potentially useful for suspensions of nonspherical particles is also given.