Mass and charge transport in micro and nano-fluidic channels

Details Mass and charge transport in micro and nano-fluidic channels Mass and charge transport in micro and nano-fluidic channels

2006-11-28

arxiv.org/abs/physics/0611271v1

Nanoscale Microscale Thermophys. Eng. 11, 57 (2007).

Physics

Fluid Dynamics

Invited paper presented at the Second International Conference on Transport Phenomena in Micro and Nanodevices, Il Ciocco Hote

Scientific paper

10.1080/15567260701337878

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 mass and charge 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 hydraulic radius R=2A/P with A and P being the cross-sectional area and perimeter, respectively. In articular, 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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