Modeling of centrifugal filtration in unsaturated deformable porous media

Centrifugal filtration through porous matermls, under both saturated as well as unsaturated flow condmons, plays an important role in diversified fields of science and technology, such as soft physics, groundwater hydrology, sludge dewaterlng, pharmacology, and petroleum engmeenng It is of specml interest in certain industrial processes that involve fluid extraction and drying, e g , in the sugar and paper pulp industries To meet the needs to evaluate centrifugal filtraUon in all these cases, studies have been conducted leading to formulas that express relations among the many variables that describe the process Most of these studies have been expenmental ones, leading to empirical relations that describe the filtration capacity In some cases, results have been obtained by using very simple models of the filtration phenomenon Because of the nature of these investigations, each result could be apphed only to a specific case, or to a hmlted range of cases The absence of a umform methodology for the design of centrifuges has forced engineers to use pdot-scale evaluation procedures In what follows, we shall show how the theory of flmd flow through a deformable porous medmm, in the presence ofa centnfugal force, may serve as a basis for the construction of a rather general model of centrifugal filtration

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