WOLFRAM|DEMONSTRATIONS PROJECT

Separation of Air Components by Countercurrent and Co-Current Gas Permeation

​
stage cut θ
0.2
flow
countercurrent
co-current
This Demonstration studies enriching the oxygen content of air with a single-stage membrane module. This problem was first treated in [1] and later in [2 and 3]. The binary mixture,
A
(oxygen) and
B
(nitrogen), has an ideal separation factor
α=10
, the ratio of the permeabilities of the two species. The permeability of oxygen is

P
A
=500×
-10
10
3
cm
(STP)cms
2
cm
cmHg
). The membrane is more permeable to oxygen and has a thickness
t=2.54
-3
10
cm
. The stage cut,
θ
, is set by the user. The values of the pressures in the feed and permeate sides are chosen equal to
Ph=190
cmHg and
Pl=19
cmHg, respectively, which give a ratio of pressures,
r
, equal to 10. The feed rate and composition are given by
q
f
=
6
10
3
cm
(STP)/s
,
x
nitorgen
=0.791
, and
x
oxygen
=0.209
. This Demonstration computes the reject and permeate compositions as well as the membrane area for the countercurrent and co-current flow cases..