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. 2020 Dec 13;10(12):418. doi: 10.3390/membranes10120418
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]
Di¯ transport coefficient of component i [kmol/m2 h]
D¯i,exp modified transport coefficient of component i in Model I, II and III [kmol/m2 h]
Di¯ 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
γi¯ average activity coefficient of component i