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Linear Theory of Detachment Filtration With Constant Rate

Linear Theory of Detachment Filtration With Constant Rate
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Copyright: 2026
Pages: 58
Source title: Cutting-Edge Analysis of Aqueous Suspension Filtration
Source Author(s)/Editor(s): Vadym Poliakov (Institute of Hydromechanics NAS, Ukraine & Institute of Water Problems and Land Reclamation NAAS, Ukraine)
DOI: 10.4018/979-8-3693-8211-0.ch002

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Abstract

Chapter 2 highlights the basic provisions of modeling the detachment filtration of aqueous suspensions at a constant rate with linear mass exchange kinetics under the operating conditions similar to reality. Thus, the initial contamination of the packed bed of the rapid filter, significant changes in the initial content of the suspended solids over time are taken into account. Thanks to the use of exact and approximate analytical methods, formulas suitable for predicting an increase in the impurity concentrations and mechanical energy expenditure are derived, firstly, in a simple integral form, and secondly, in an even simpler form of combinations of elementary functions. In addition, similar solutions to the problem of clarification of the suspension in the packed bed of a special layered structure, as well as the calculation expressions, are obtained. There are comments on the key mass exchange coefficient.

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