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

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

2005-11-21

arxiv.org/abs/physics/0511183v2

New J. Phys. 8, 37 (2006)

Physics

Fluid Dynamics

13 pages including 4 figures and 1 table. Typos corrected. Accepted for NJP

Scientific paper

10.1088/1367-2630/8/3/037

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.

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