SIMULATION AND MODELING OF TRANSIENT PERMEATION OF ORGANIC-SOLVENTS THROUGH POLYMER-FILMS IN THE CASE OF A CONCENTRATION-DEPENDENT DIFFUSION-COEFFICIENT
R. Clement et al., SIMULATION AND MODELING OF TRANSIENT PERMEATION OF ORGANIC-SOLVENTS THROUGH POLYMER-FILMS IN THE CASE OF A CONCENTRATION-DEPENDENT DIFFUSION-COEFFICIENT, Macromolecular theory and simulations, 4(5), 1995, pp. 921-933
The measured transient permeation kinetics of acetic acid from a water
-acetic acid mixture through poly(vinyl alcohol) films could not be ac
counted for by the Pick law with a constant diffusion coefficient. A n
ew calculation procedure was developed on the basis of simulation resu
lts of the Fickian kinetics in which the diffusion coefficient was ass
umed to increase exponentially with the local permeant concentration.
A fast and reliable fitting procedure, which was set up on a Personal
Computer, involves an iterative numerical adjustment of (a) the value
of the limiting diffusion coefficient D (i.e., difusion of the permea
nt in dry polymer) using the onset part of the permeation rate followe
d by (b) the value at the upstream face of the plasticization term (ar
gument of the exponential function) using the shape of the experimenta
l curve. The values obtained from fitting the model to the transient k
inetics showed that the limiting diffusion coefficient increases drast
ically, but the plasticization term changes little, with increasing te
mperature.