1969
DOI: 10.1002/pol.1969.160071015
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Effect of immobilizing adsorption on the diffusion time lag

Abstract: A “dual sorption” model has been proposed by Michaels, Vieth, et al. to explain extensive equilibrium sorption data for several gases in some glassy polymers. To explain data on sorption kinetics, it was further postulated that one of the sorption modes immobilizes the gas molecules. Stated mathematically, this model leads to a modified form of Fick's second law. Both normal and desorption time lags for diffusion have been computed here for this model of diffusion in glassy polymers. The computed time lags are… Show more

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Cited by 123 publications
(51 citation statements)
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References 12 publications
(7 reference statements)
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“…One upstream volume contains a solute like oxygen, initially at a concentration of C . The other, downstream volume, which initially 10 1957;Finger et al, 1960;Paul, 1969;Paul and Kemp, 1973;Paul and Ko-6 D ros, 1976 Daynes, 1920;Frisch, 1957;Crank, . 1975 C AP l l 1997 .…”
Section: Theorymentioning
confidence: 96%
See 1 more Smart Citation
“…One upstream volume contains a solute like oxygen, initially at a concentration of C . The other, downstream volume, which initially 10 1957;Finger et al, 1960;Paul, 1969;Paul and Kemp, 1973;Paul and Ko-6 D ros, 1976 Daynes, 1920;Frisch, 1957;Crank, . 1975 C AP l l 1997 .…”
Section: Theorymentioning
confidence: 96%
“…One strong example of earlier investigation assumes that the solute is rapidly adsorbed by sites within the membrane. When this adsorption follows a Langmuir isotherm, the concentra-Ž tion varies as follows Finger et al, 1960;Paul, 1969;Paul and Kemp, 1973;Paul and Koros, 1976;Vant-Hull and No-. ble, 1991…”
Section: Theorymentioning
confidence: 98%
“…By 1973, D. R. Paul and D. R. Kemp recognized the effect that zeolites would have in gas adsorption in zeolite/polymer membranes by immobilizing gas molecules in the membrane and therefore increasing the time lag [111,112]. By adapting their work on gas diffusion, using Henry's law to describe the adsorption of mobile species, and utilizing Langmuir sorption to describe sorption of the immobile species, they developed a modified time lag model for gas transport in the transient state (i.e., before reaching the steady state), useful for the determination of diffusivity in zeolite/polymer membranes and in barrier membranes for coatings and packaging materials [113]. In 1987, H. J.…”
Section: Mixed-matrix Membrane Originsmentioning
confidence: 99%
“…phases, and (c) complex transport mechanisms, e.g., interpreted as due to a "dual sorption mechanism." 4 In the previous study of a series of PVC/EVA-45 blends,' with increasing EVA content, a sharp increase in permeability and diffusivity was observed at 7-8% EVA by weight. This was interpreted as an effect of a phase inversion in the blends at this EVA content.…”
Section: Introductionmentioning
confidence: 93%