The intrinsic behaviour of several single-stage and multi-stage permea
tor systems has been studied using a recently developed algebraic desi
gn model. Upper and lower bounds with respect to product purity and re
covery in single-stage systems are presented. It is shown that single-
stage permeators without recycle can exhibit maxima in permeate purity
as a function of the pressure ratio across the membrane. It is illust
rated why bypass configurations may be economically profitable in sing
le-stage systems. The effect of product recycle in single-stage system
s has been studied. It is shown that permeate recycle can reduce the c
ompressor load in single-stage permeator systems. Similar benefits of
retentate recycle have not been identified. The characteristic behavio
ur of multi-stage systems has been studied. Based on general design cr
iteria, various module configurations have been classified as suitable
for recovery of either the slowest or the fastest permeating componen
t. The effect of using different membrane materials at each stage of a
multi-stage permeator cascade has been studied. It is shown that impr
ovements with respect to product recovery can be achieved.