The problem of gravity-driven thickening of a dispersion in a long, ve
rtical tube of diameter larger than the dimensions of the dispersed ph
ase particles has been treated. Inflow of the suspension takes place t
hrough the porous tube wall and suspension is pumped away both at the
upper and lower ends. A theoretical analysis of the problem is given.
A material balance over a differential element spanning the cross-sect
ion leads to a model equation that has been solved analytically and nu
merically. The behaviour of the model as a function of various paramet
ers, such as the axial dispersed phase concentration profile and the r
atio of flows through the upper and lower pumps, is discussed. Compari
son with the experimental results obtained in an industrial system sho
ws good agreement. Copyright (C) 1996 Elsevier Science Ltd