Transport coefficients for electrolytes in arbitrarily shaped nano- and microfluidic channels

Niels Asger Mortensen, Laurits Højgaard Olesen, Henrik Bruus

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    Abstract

    We consider laminar flow of incompressible electrolytes in long, straight channels driven by pressure and electro-osmosis. We use a Hilbert space eigenfunction expansion to address the general problem of an arbitrary cross-section and obtain general results in linear-response theory for the hydraulic and electrical transport coefficients which satisfy Onsager relations. In the limit of non-overlapping Debye layers, the transport coefficients are simply expressed in terms of parameters of the electrolyte as well as the geometrical correction factor for the Hagen-Poiseuille part of the problem. In particular, we consider the limits of thin non-overlapping as well as strongly overlapping Debye layers, respectively, and calculate the corrections to the hydraulic resistance due to electro-hydrodynamic interactions.
    Original languageEnglish
    JournalNEW J. PHYSICS
    Volume8
    Pages (from-to)37
    Publication statusPublished - 2006

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