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Electroosmotic flow on an arbitrarily charged planar surface

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Abstract

A general expression for the electroosmotic flow on an arbitrarily (i.e., both uniformly and nonuniformly) charged planar surface under an applied static electric field is derived. We treat the case in which the applied field is weak so that the flow is slow enough to obey the Stokes approximation at low Reynolds numbers and the electric potential is low enough to obey the linearized Poisson-Boltzmann equation. As examples, the flow around a sinusoidally charged planar surface and that around a charged planar surface carrying a square lattice of point charges are considered. The latter is related to the discrete-charge effect upon the electroosmotic flow.

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Authors and Affiliations

  1. Faculty of Pharmaceutical Sciences, Tokyo University of Science, 2641 Yamazaki, Noda, Chiba, 278-8510, Japan

    Hiroyuki Ohshima

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  1. Hiroyuki Ohshima
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Correspondence to Hiroyuki Ohshima.

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Ohshima, H. Electroosmotic flow on an arbitrarily charged planar surface. Colloid Polym Sci 293, 1401–1408 (2015). https://doi.org/10.1007/s00396-015-3520-0

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  • DOI: https://doi.org/10.1007/s00396-015-3520-0

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