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Experimental studies of three‐dimensional filtration on a circular leaf
Author(s) -
Leonard J. I.,
Brenner Howard
Publication year - 1965
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.690110606
Subject(s) - compressibility , filtration (mathematics) , filter cake , filter (signal processing) , mechanics , mathematics , materials science , chemistry , physics , chromatography , engineering , statistics , electrical engineering
Abstract A previous study ( 3 ) revealed a discrepancy between the actual shape of a spheroidal filter cake formed on a laterally unconfined circular test leaf, and that predicted from theory. This discrepancy was tentatively attributed to either cake compressibility or filter cloth resistance that was neglected in the mathematical model and not controlled in the original experiments. More extensive and systematic experiments reported in the present paper, employing incompressible cakes and filter media of negligible resistance, display similar behavior. (Cake incompressibility and negligible septum resistance were quantitatively established by conventional one‐dimensional experiments.) It is speculated that the observed departure from theory may be due to the inapplicability of Darcy's law, especially in the early stages of cake formation.