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An asymptotic description of transient settling and ultrafiltration of colloidal dispersionsThe present model for the sedimentation of colloidal systems includes a diffusion term in the governing equation which, in the regions above the sediment, acts as small perturbation to the Kynch (1952) theory. Within the sediment, diffusion is comparable to convection due to the the high solid volume fraction. An application of the method of matched asymptotic expansions to the conservation equation allows a complete description of the settling process to be formulated, with specific attention to volume-fraction evolution in the sediment.
Document ID
19890037232
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Davis, K. E.
(Princeton Univ. NJ, United States)
Russel, W. B.
(Princeton University NJ, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Publication Information
Publication: Physics of Fluids A
Volume: 1
ISSN: 0899-8213
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
89A24603
Funding Number(s)
CONTRACT_GRANT: NAG3-584
CONTRACT_GRANT: DE-FG02-85ER-45210
Distribution Limits
Public
Copyright
Other

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