|
A
|
membrane area [m2] |
|
B
|
constant in Model I, II and III |
|
c
|
total molar concentration [mol/mol] |
|
ci
|
concentration of component i [mol/m3] |
|
Di
|
diffusion coefficient [m2/h] |
|
D
i0
|
diffusion coefficient of component i [ kmol/m2 h] |
|
|
transport coefficient of component i [kmol/m2 h] |
|
|
modified transport coefficient of component i in Model I, II and III [kmol/m2 h] |
|
|
relative transport coefficient of component i [kmol/m2 h] |
|
Ei
|
activation energy of component i [kJ/mol] |
|
f
i0
|
fugacity of pure i component [mbar, kPa] |
|
f
i1
|
fugacity of component i in the feed side [mbar, kPa] |
|
f
i3
|
fugacity of component i in the permeate side [mbar, kPa] |
|
J
|
total flux [kg/m2h] |
|
Ji
|
partial flux [kg/m2h] |
|
L
|
distance of diffusion [m] |
|
ni
|
weight of component i [mol] |
|
pi0
|
vapour pressure of pure i component [bar, kPa] |
|
p
i1
|
partial pressure of component i in the feed side [bar, kPa] |
|
p
i2
|
partial pressure of component i between the two layers of the membrane [bar, kPa] |
|
p
i3
|
partial pressure of component i in the permeate side [bar, kPa] |
|
p
3
|
pressure on the permeate side [bar, kPa] |
|
Q
0
|
permeability of the porous supporting layer of the membrane [kmol/m2 h bar] |
|
R
|
gas constant [kJ/kmol K] |
|
t
|
time [s, h] |
|
T
|
temperature [K, °C] |
|
T*
|
reference temperature: 273 K = 20 °C |
|
wF
|
feed concentration of component i [wt%] |
|
x
i1
|
mol fraction of component i in the feed [mol/mol] |
|
yi
|
mol fraction of component i in the permeate [mol/mol] |
|
Greek letters:
|
|
|
βij
|
selectivity for component i and j
|
|
δ
|
thickness of the membrane [m] |
|
γ
i1
|
activity coefficient of component i in the feed |
|
γ
i3
|
activity coefficient of component i in the permeate |
|
|
average activity coefficient of component i
|