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  • Periodic electric field enhanced transport through membranes

    Author(s)
    Mollee, TR
    Anissimov, YG
    Roberts, MS
    Griffith University Author(s)
    Anissimov, Yuri G.
    Year published
    2006
    Metadata
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    Abstract
    We examine the mean flux across a homogeneous membrane of a charged tracer subject to an alternating, symmetric voltage waveform. The analysis is based on the Nernst-Planck flux equation, with electric field subject to time dependence only. For low frequency electric fields the quasi steady-state flux can be approximated using the Goldman model, which has exact analytical solutions for tracer concentration and flux. No such closed form solutions can be found for arbitrary frequencies, however we find approximations for high frequency. An approximation formula for the average flux at all frequencies is also obtained from the ...
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    We examine the mean flux across a homogeneous membrane of a charged tracer subject to an alternating, symmetric voltage waveform. The analysis is based on the Nernst-Planck flux equation, with electric field subject to time dependence only. For low frequency electric fields the quasi steady-state flux can be approximated using the Goldman model, which has exact analytical solutions for tracer concentration and flux. No such closed form solutions can be found for arbitrary frequencies, however we find approximations for high frequency. An approximation formula for the average flux at all frequencies is also obtained from the two limiting approximations. Numerical integration of the governing equation is accomplished by use of the numerical method of lines and is performed for four different voltage waveforms. For the different voltage profiles, comparisons are made with the approximate analytical solutions which demonstrates their applicability.
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    Journal Title
    Journal of Membrane Science
    Volume
    278
    Publisher URI
    http://www.elsevier.com/wps/find/journaldescription.cws_home/502692/description#description
    DOI
    https://doi.org/10.1016/j.memsci.2004.10.049
    Subject
    Chemical sciences
    Engineering
    Publication URI
    http://hdl.handle.net/10072/20307
    Collection
    • Journal articles

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