|
Symbols
|
|
A
|
Cross sectional membrane area, m2
|
|
dpore
|
Pore diameter, m |
|
Eact
|
Activation energy of permeability, J/mol |
|
f
|
Fugacity, Pa |
|
L
|
Permeance, mol∙m/(m2∙s∙Pa) |
|
m
0
|
Swelling factor at zero temperature, Pa−1
|
|
mT
|
Factor of temperature dependency of the swelling, K−1
|
|
M
|
Molecular weight, kg/mol |
|
|
Flow rate, mol/s |
|
|
Molar flux through the membrane divided by area, mol/(m2∙s) |
|
p
|
Pressure, Pa |
|
P
|
Permeability coefficient, mol∙m/(m2∙s∙Pa) |
|
R
|
Gas constant, 8.314 Pa∙m3/(mol∙K) |
|
t
|
Time, s |
| T |
Temperature, K |
|
V
|
Volume, m3
|
|
|
Volumetric flow rate, m3/s |
|
Greek symbols
|
|
∆α
|
Thermal expansion coefficient, K−1
|
|
|
Thickness of layer j, m |
|
ε
|
Fractional void volume of porous medium |
|
η
|
Dynamic viscosity of the gas, Pa∙s |
|
τ
|
Tortuosity factor |
|
Subscripts
|
|
a
|
Average |
|
act
|
Activation |
|
F
|
Feed |
|
G
|
Gutter layer |
|
i
|
Component i
|
|
j
|
Layer j
|
|
P
|
Permeate |
|
pore
|
Pore |
|
PS
|
Porous support |
|
S
|
Selective layer |
|
t
|
Total |
|
T
|
Temperature |
|
W
|
Pore wall |
| ∞ |
Temperature → ∞ |
|
Superscripts
|
| ∙ |
Time derivative |
| ´´ |
Area derivative |
|
0
|
Pressure → 0 |