The mechanism of cake formation in constant pressure filtrations of su
bmicron particles is studied by analysing the forces exerted on the de
positing particles. The Brownian dynamic method is used to trace the l
oci of slurry particles and to simulate the packing structure of submi
cron particles in filtrations. The major factors affecting the particl
e packing, such as frictional drag, van der Waals' force, electrostati
c force, and Brownian force, etc., are discussed. The most compact cak
e is found when the frictional drag and Brownian force are of the same
order of magnitude. A numerical program is designed to estimate the v
ariations of local cake properties during a course of constant pressur
e filtration. The calculated results of average cake porosity and aver
age specific filtration resistance agree very well with the experiment
al data.