Abstract
The modified dual-mode mobility model for permeation of a gas in glassy polymer membranes was combined with the extended dual-mode sorption model to take account of the plasticization effect of sorbed gas molecules on both sorption and diffusion processes. The combined model was further simplified by the introduction of a concentration of the mobile gas species. However, the observed pressure dependence of mean permeability coefficients of carbon dioxide in methylmethacrylate-n-butyl acrylate copolymer and polymethylmethacrylate films at 30°c and also that of oxygen in a polycarbonate film at 50°C and 60°C showed that a plasticization action of sorbed gas species has an influence on the diffusion process rather than on the sorption process, that is, were simulated by the modified dual-mode mobility model combined with the conventional dual-mode sorption model.
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Abbreviations
- b:
-
Langmuir affinity constant [atm−1]
- C:
-
total sorbed concentration of penetrant [cm3 (STP)/cm3]
- Cd :
-
concentration of Henry’s law population [cm3 (STP)/cm3]
- Cg :
-
glass-transition concentration in Eq. (3) [cm3 (STP)/cm3]
- CH :
-
concentration of Langmuir population [cm3 (STP) /cm3]
- CH :
-
Langmuir capacity constant [cm3 (STP)/cm3]
- Cm :
-
concentration of mobile species defined by Eq. (13) [cm3 (STP)cm3]
- C*:
-
effective concentration for plasticization by sorbed gas [cm3 (STP)/cm3]
- D:
-
diffusion coefficient in membrane [cm2/s]
- F:
-
fraction of CH which has the same mobility as CD
- f:
-
ratio of the plasticizing ability of Langmuir species to that of Henry’s law species in Eq. (4)
- kD :
-
Henry’s law constant [cm3 (STP)/(cm3 atm)]
- -P:
-
mean permeability coefficient [cm3 (STP) cm/ (cm2 s atm]
- p:
-
pressure of penetrant gas [atm]
- x:
-
position coordinate in the net flux direction [cm]
- δ:
-
thickness of membrane [cm]
- σ:
-
parameter characterizing the concentration dependence of Henry’s law constant in Eq. (2) [cm3 /cm3 (STP)]
- β:
-
concentration-dependence parameter in Eq. (5), (6) and (11) [cm3 (STP)/cm3]
- D:
-
Henry’s law mode
- H:
-
Langmuir mode
- 0:
-
zero concentration state
- 1:
-
downstream surface
- 2:
-
upstream surface
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Bae ††, SY., Kim, HT. & Kumazawa, H. Transport phenomena in gas permeation through glassy polymer membranes with concentration-dependent sorption and diffusion parameters. Korean J. Chem. Eng. 11, 211–215 (1994). https://doi.org/10.1007/BF02697468
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DOI: https://doi.org/10.1007/BF02697468