Electro-osmotic flow through a two-dimensional screen-pump filter
Name
Liu-2011-Electro-osmotic flow through a.pdf
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Author(s)
Liu, Ying-Hung
Kuo, Chih-Yu
Chang, Chien C.
Wang, Chang-Yi
Date Issued
September 2011
Journal
Physical Review E
Publisher
American Physical Society (APS)
Citation
Liu, Ying-Hong et al. “Electro-osmotic flow through a two-dimensional screen-pump filter.” Physical Review E 84.3 (2011): n. pag. Web. 25 Jan. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
The electro-osmotic flow driven by a screen pump, composed of a line array of evenly spaced identical rectangular solid blocks, is investigated under the Debye-Hückel approximation. The geometry of the screen pump is determined by the spacing and aspect ratio of the solid blocks. A constant surface zeta potential is assumed on the block surface. The method of eigenfunction series expansion is applied to solve analytically for the applied electric field, electric charge potential in the fluid, and flow field. Because of the low Reynolds number, Stokes equations are applied for the flow. The analytic result is first confirmed by comparing with the exact solution of the electro-osmotic flow in an infinite channel. Then different geometries of the screen pump and the effect of the electrokinetic width are computed for their influence on the flow rate. Recirculating eddies and reversing flow are found even though the applied electric driving field is unidirectional.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.84.036301
