Abstract

Derivation of the one-dimensional cake filtration equations is presented in detail. Properties of cake structure such as cake porosity (solidosity), permeability (or specific cake resistance), and their dependence on cake compression are introduced. The limitations of the cake filtration equations are discussed and their use in predicting cake filtration performance is shown through a number of illustrative examples. Applications of the results of the conventional cake filtration theory in analyzing and interpreting experimental data are discussed. For the improvement of the predictive capability of the conventional theory, an iterative calculation procedure is given. It is also shown that cake filtration may be considered as a diffusive process with a variable filtration diffusivity which can be expressed in terms of cake permeability and cake porosity and their compression dependence.

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