In the pulp and paper industry, it is often necessary to characterize
the drainage capability of a pulp on the paper machines. The industry
uses a standard measure called the freeness to represent this and othe
r properties for papermaking pulps. The freeness is the total volume o
f water discharged from a side orifice of a specific configuration whi
le the pulp suspension drains freely under gravity. In this paper, a m
odel for the gravity filtration of pulp suspensions forming a compress
ible pulp mat is along with some empirical treatment of the flow is us
ed to model the freeness test. The gravity drainage process is assumed
to be described by a cake filtration process with the pressure at eac
h instant being given by the gravity head From the model, the critical
parameters governing the freeness of a pulp suspension are shown to b
e the specific surface area and the specific volume of the pulp fibers
in addition to the compressibility of the pulp mat. When these parame
ters are available from independent gravity drainage measurements, the
freeness itself can be estimated. Estimated freeness values are in ag
reement with experimental measurements for pulps which are reasonably
free of fines. When fines are present however, they get entrapped with
in the pulp mats decreasing their permeability. The model predictions
are higher than experimental measurements in this case.