2006/11/28 by N. A. Mortensen, Niels Asger Mortensen, Laurits Højgaard Olesen +5 · 1 citation
Engineering · Physics and Astronomy · #Microfluidic and Bio-sensing Technologies #Microfluidic and Capillary Electrophoresis Applications #Nanopore and Nanochannel Transport Studies #physics.flu-dyn
paper · pdf · doi:10.1080/15567260701337878
published as Nanoscale Microscale Thermophys. Eng. 11, 57 (2007). · Invited paper presented at the Second International Conference on Transport Phenomena in Micro and Nanodevices, Il Ciocco Hotel and Conference Center, Barga, Italy, 11-15 June 2006. Accepted for publication in a special issue of Nanoscale and Microscale Thermophysical Engineering (Taylor & Francis)
arxiv created 2006/11/28 · openalex publication_date 2007/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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 with and 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.