Generalized relation between liquid pressure and solid compressive pressure in non-unidimensional filter cakes.

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 PL and solid compressive pressure PS in non-unidimensional filter cake.Accordingly, a generalized PL–PS 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 PL–PS relations already reported for non-unidimensional filter cakes of relatively simple geometries can be easily reduced.