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Filtration of highly compactible filter cake: Variable internal flow rate
Author(s) -
Lee D. J.,
Ju S. P.,
Kwon J. H.,
Tiller F. M.
Publication year - 2000
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.690460114
Subject(s) - filtration (mathematics) , constant (computer programming) , filter (signal processing) , mathematics , filter cake , flow (mathematics) , limit (mathematics) , volumetric flow rate , mechanics , mathematical analysis , thermodynamics , chemistry , physics , chromatography , geometry , statistics , engineering , computer science , electrical engineering , programming language
Conventional analyses used to interpret filtration data assume a constant internal liquid flow rate (q L ) and a negligible solid velocity (the constant‐q L approximation). To interpret such data, the upper bounds of errors to estimate α av and k av were analytically derived by the constant‐q L approximation. The solution of the filtration model that incorporates a nonzero solid velocity was then analytically derived. When filtering a highly compactible filter cake, the cake was first compacted toward the filter medium that forms a skin layer and, in doing so, rapidly reaches the steady‐state distribution predicted by the constant‐q L approximation. Except at the first stage of the filtration, the approach of Tiller et al. (1999) is valid for interpreting filtration data of a highly compactible filter cake. Furthermore, the constant‐q L approximation provides the upper limit of errors in terms of estimating cake characteristics regardless of the solid velocity effect.