dorsal/arxiv
View SchemaTransport coefficients for electrolytes in arbitrarily shaped nano and micro-fluidic channels
| Authors | N. A. Mortensen, L. H. Olesen, H. Bruus |
|---|---|
| Categories | |
| ArXiv ID | physics/0511183 |
| URL | https://arxiv.org/abs/physics/0511183 |
| DOI | 10.1088/1367-2630/8/3/037 |
| Journal | New J. Phys. 8, 37 (2006) |
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.
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"abstract": "We consider laminar flow of incompressible electrolytes in long, straight\nchannels driven by pressure and electro-osmosis. We use a Hilbert space\neigenfunction expansion to address the general problem of an arbitrary cross\nsection and obtain general results in linear-response theory for the hydraulic\nand electrical transport coefficients which satisfy Onsager relations. In the\nlimit of non-overlapping Debye layers the transport coefficients are simply\nexpressed in terms of parameters of the electrolyte as well as the geometrical\ncorrection factor for the Hagen-Poiseuille part of the problem. In particular,\nwe consider the limits of thin non-overlapping as well as strongly overlapping\nDebye layers, respectively, and calculate the corrections to the hydraulic\nresistance due to electro-hydrodynamic interactions.",
"arxiv_id": "physics/0511183",
"authors": [
"N. A. Mortensen",
"L. H. Olesen",
"H. Bruus"
],
"categories": [
"physics.flu-dyn",
"cond-mat.soft"
],
"doi": "10.1088/1367-2630/8/3/037",
"journal_ref": "New J. Phys. 8, 37 (2006)",
"title": "Transport coefficients for electrolytes in arbitrarily shaped nano and micro-fluidic channels",
"url": "https://arxiv.org/abs/physics/0511183"
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