2005/11/30 by N. A. Mortensen, N. Asger Mortensen, L. H. Olesen +3 · 2 citations
Engineering · Physics and Astronomy · #Microfluidic and Bio-sensing Technologies #Microfluidic and Capillary Electrophoresis Applications #Nanopore and Nanochannel Transport Studies #cond-mat.soft #physics.flu-dyn
paper · pdf · doi:10.1088/1367-2630/8/3/037
published as New J. Phys. 8, 37 (2006) · 13 pages including 4 figures and 1 table. Typos corrected. Accepted for NJP
arxiv created 2006/02/20 · openalex publication_date 2006/03/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.