Transport coefficients for electrolytes in arbitrarily shaped nano and micro-fluidic channels

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dc.creatorMortensen, N. A.
dc.creatorOlesen, L. H.
dc.creatorBruus, H.
dc.date2005-11-21
dc.date2006-02-20
dc.date.accessioned2026-07-07T06:52:25Z
dc.date.available2026-07-07T06:52:25Z
dc.descriptionWe 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.
dc.description13 pages including 4 figures and 1 table. Typos corrected. Accepted for NJP
dc.identifierhttps://arxiv.org/abs/physics/0511183
dc.identifierhttp://arxiv.org/abs/physics/0511183
dc.identifierNew J. Phys. 8, 37 (2006)
dc.identifierdoi:10.1088/1367-2630/8/3/037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105297
dc.subjectFluid Dynamics
dc.subjectSoft Condensed Matter
dc.titleTransport coefficients for electrolytes in arbitrarily shaped nano and micro-fluidic channels
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