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Modeling of diffusion through polymeric membranes

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Abstract

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.

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Acknowledgments

The authors acknowledge helpful discussions with Dr. El Afif. Support through NASA grants NAG-1-02070 and NCC3-946 is also gratefully acknowledged.

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Authors and Affiliations

  1. Department of Chemical and Biomolecular Engineering and Tulane Institute for Macromolecular Engineering and Science (TIMES), Tulane University, New Orleans, LA, 70118, USA

    Quan Liu & D. De Kee

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  1. Quan Liu
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  2. D. De Kee
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Correspondence to D. De Kee.

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Liu, Q., De Kee, D. Modeling of diffusion through polymeric membranes. Rheol Acta 44, 287–294 (2005). https://doi.org/10.1007/s00397-004-0410-7

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