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Nonlinear Detachment Filtration
Abstract
Since the absorption rate of the suspended solids and the corresponding kinetic coefficient often decrease or increase as the deposit accumulates in the bed, Chapter 6 raises the issues of the detachment filtration with nonlinear kinetics. At the same time, the exact solutions of the suitable nonlinear problems were obtained in the presence of an initial deposit and a two-layer structure of the filter media, taking into consideration the autocatalysis phenomenon, progressive decrease in the absorptive capacity. Based on them the significance of the nonlinear effect was estimated, numerous technological calculations were performed. In view of the cumbersome calculation formalisms and the unambiguous choice of kinetics, an approximate solution of a similar problem with a kinetic equation of general form is obtained, which allows to calculate the characteristics of nonlinear filtration with minimal errors. The accuracy of the above solution is evaluated in case of linear filtration for the head losses due to severe сlogging of the packed bed.
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