A number of quantitative models of wet pressing have been proposed in the l
iterature but none of them take into account the observed rate dependence o
f the fibre network stress. This rate dependence, which is ascribed to the
flow resistance of the water in the fibre walls, should be incorporated in
wet pressing models. This paper presents a hydrodynamic model of wet pressi
ng that makes allowance for the rate dependence of the fibre network stress
and can therefore be used to study web densification and dewatering due to
pressure pulses of arbitrary shape. The predictive capability of the model
has been studied with the help of data from the third press of an experime
ntal paper machine. The model gives good predictions of solids content over
wide ranges of machine speeds, grammages and Linear loads and its predicti
ve capability is quite adequate for most engineering applications.