dorsal/arxiv
View SchemaMass and charge transport in micro and nano-fluidic channels
| Authors | N. A. Mortensen, L. H. Olesen, F. Okkels, H. Bruus |
|---|---|
| Categories | |
| ArXiv ID | physics/0611271 |
| URL | https://arxiv.org/abs/physics/0611271 |
| DOI | 10.1080/15567260701337878 |
| Journal | Nanoscale Microscale Thermophys. Eng. 11, 57 (2007). |
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 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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"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 mass and\ncharge transport coefficients which satisfy Onsager relations. In the limit of\nnon-overlapping Debye layers the transport coefficients are simply expressed in\nterms of parameters of the electrolyte as well as the hydraulic radius R=2A/P\nwith A and P being the cross-sectional area and perimeter, respectively. In\narticular, we consider the limits of thin non-overlapping as well as strongly\noverlapping Debye layers, respectively, and calculate the corrections to the\nhydraulic resistance due to electro-hydrodynamic interactions.",
"arxiv_id": "physics/0611271",
"authors": [
"N. A. Mortensen",
"L. H. Olesen",
"F. Okkels",
"H. Bruus"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1080/15567260701337878",
"journal_ref": "Nanoscale Microscale Thermophys. Eng. 11, 57 (2007).",
"title": "Mass and charge transport in micro and nano-fluidic channels",
"url": "https://arxiv.org/abs/physics/0611271"
},
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