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Finite element solution of the equations governing the flow of electrolyte in charged microporous membranes

✍ Scribed by A. E. James; J. D. Stillman; D. J. A. Williams

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
962 KB
Volume
20
Category
Article
ISSN
0271-2091

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✦ Synopsis

Electrical double-layer effects are unimportant in flows through porous media except when the Debye length ) ~-l is comparable in magnitude with the pore radius a. Under these conditions the equations governing the flow of electrolyte are those of Stokes, Nemst-Planck and Poisson. These equations are non-linear and require numerical solution. The finite element method provides a useful basis for solution and various algorithms are investigated. The numerical stability and errors of each scheme are analysed together with the development of an appropriate finite element mesh. The electro-osmotic flow of a typical electrolyte (barium chloride) through a uniformly charged cylindrical membrane pore is investigated and the ion fluxes are post-computed from the numerical solutions. The ion flux is shown to be strongly dependent on both zeta potential and pore radius, KU, indicating the effects of overlapping electrical double layers.

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