Generalized Relation between Liquid Pressure and Solid Compressive Pressure in Non-Unidimensional Filter Cakes

Abstract

In recent studies of cake filtration, a new deliquoring technique called as “filtration consolidation” was proposed. It is principally based on the mechanism of non-unidimensional filtration and gives a highly compacted cake without any additional mechanical load. To investigate the deliquoring mechanism of filtration consolidation in detail, it is essential to find a relation between liquid pressure P_L and solid compressive pressure P_S in non-unidimensional filter cake.
Accordingly, a generalized P_L–P_S relation applicable to any cake profile and filtrate flow pattern of complicated geometry is derived in terms of an orthogonal curvilinear coordinate system. It is also shown that, starting from the generalized equation, all the P_L–P_S relations already reported for non-unidimensional filter cakes of relatively simple geometries can be easily reduced.