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. 2019 Feb 1;9(2):22. doi: 10.3390/membranes9020022
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
n· Flow rate, mol/s
n· 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
V· Volumetric flow rate, m3/s
Greek symbols
∆α Thermal expansion coefficient, K−1
δ 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