Published In

Fluid/Particle Separation Journal

Document Type


Publication Date



Filters and filtration, Sewage sludge -- Drying -- Mathematical models, Porous materials -- Fluid dynamics -- Mathematical models


The porosity distribution and filtrate production during cake filtration in a plate-and-frame filter press were simulated mathematically. The model considered filtration that occurs after the filling process, not filtration that occurs as the suspension fills the cell. Governing equations for the temporal porosity distribution were developed for a plateand- frame press. The governing equations were solved numerically using an alternating-direction-implicit scheme. Appropriate initial and boundary conditions were determined based on characteristics of the plate-and-frame press and of the suspension properties. Predicted porosity and velocity distributions were calculated for assumed constitutive parameters.


This is the author's version of an article that was subsequently published in Fluid/Particle Separation journal, 11(2), 152-165.

Persistent Identifier