Mathematical modeling of suspension clarification in a dynamic layer

TitleMathematical modeling of suspension clarification in a dynamic layer
Publication TypeJournal Article
Year of Publication2019
AuthorsPolyakov, VL
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2019.12.033
Issue12
SectionMechanics
Pagination33-40
Date Published12/2019
LanguageRussian
Abstract

A non-linear non-steady task of undetachable cake filtration at a constant pressure difference at moving and stationary cake layer boundaries is formulated and solved exactly. Sorption and conductivity possibilities are described by arbitrary functions. The solution obtained in the parametric form enables one to predict reliably chan ges in time of the filtrate quantity and productivity of a cake filtration installation. The effects of layer sorption pro perties, autocatalysis, and rate of cake formation on the main filtration characteristics are analyzed for a number of test examples. It is established that a considerable decrease in the suspended substance content in a filtrate, and filtration rate occurs during a short time, and the deposition is distributed along the dynamic layer height essentially unevenly with the maximum at its exit.

Keywordsconcentration, mathematical modeling, moving boundary, pressure difference, rate, surface filtration, suspension
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