Mortensen, Niels Asger and Olesen, Laurits H. and Okkels, Fridolin and Bruus, Henrik (2007) Mass and charge transport in micro and nanofluidic channels. NANOSCALE AND MICROSCALE THERMOPHYSICAL ENGINEERING, 11 (1-2). pp. 57-69.
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We consider laminar flow of incompressible electrolytes in long, straight channels driven by pressure and electroosmosis. 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 that satisfy Onsager relations. In the limit of nonoverlapping 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 particular, we consider the limits of thin nonoverlapping as well as strongly overlapping Debye layers, respectively, and calculate the corrections to the hydraulic resistance due to electrohydrodynamic interactions.
|Uncontrolled Keywords:||microfluidics; nanofluidics; transport coefficients; hydraulic resistance; electro-osmotic flow|
|Subjects:||Physical Science > Nanophysics|
|Deposited On:||21 Sep 2009 10:36|
|Last Modified:||21 Sep 2009 10:36|
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