Modeling of diffusion through polymeric membranes

Diffusion, coupled with rheology, of a simple fluid through a complex polymeric membrane is modeled using the Poisson and dissipation bracket formalism. A set of governing equations describing the time evolution of concentration, flux, and internal structure of the complex polymeric membrane is obta...

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Bibliographic Details
Published in:Rheologica acta 2005-01, Vol.44 (3), p.287-294
Main Authors: Liu, Quan, De Kee, D.
Format: Article
Language:English
Subjects:
Diffusion
Elasticity
Evolution
Mathematical models
Rheological properties
Rheology
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Summary:Diffusion, coupled with rheology, of a simple fluid through a complex polymeric membrane is modeled using the Poisson and dissipation bracket formalism. A set of governing equations describing the time evolution of concentration, flux, and internal structure of the complex polymeric membrane is obtained. Two parameters, which characterize the importance of elasticity and mixing properties, appear in the governing equations. An extension of Fick’s second law is derived for the flux evolution. The model describes the diffusion process quantitatively quite well.
ISSN:0035-4511
1435-1528
DOI:10.1007/s00397-004-0410-7