Transport with time-dependent boundary conditions in a ν-dimensional membrane

Following Favre et al. [J. Membr. Sci. 207 (2002) 59], a detailed study has been made of the effect of time-dependence in the boundary conditions upon the four measurable time-lags associated with transport through a membrane. A new procedure for deriving the modified time-lags is presented which en...

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Bibliographic Details
Published inJournal of membrane science Vol. 232; no. 1; pp. 9 - 18
Main Author Ash, Richard
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.03.2004
Subjects
Diffusion
Sorption kinetics
Theory
Time-lags
Sorption kinetics
Diffusion
Time-lags
Theory
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Summary:Following Favre et al. [J. Membr. Sci. 207 (2002) 59], a detailed study has been made of the effect of time-dependence in the boundary conditions upon the four measurable time-lags associated with transport through a membrane. A new procedure for deriving the modified time-lags is presented which encompasses three membrane geometries and a variety of boundary conditions. While the greater part of the treatment involves a constant diffusion coefficient, some attention has been given to the corresponding problem of transport in a slab membrane governed by a concentration-dependent diffusion coefficient. The application of this procedure to a particular aspect of constant-pressure sorption kinetics is also indicated.
ISSN:0376-7388
1873-3123
DOI:10.1016/j.memsci.2003.11.010