The results derived by Yariv and Dorfman [Phys. Fluids 19, 037101 (2007).] for the electrophoretic transport of a point-size Brownian particle in a narrow channel of periodically varying cross section are generalized to joint electrophoretic and electro-osmotic flow (or purely electro-osmotic flow, in the case of a neutral particle) in a channel possessing a uniform zeta potential by a suitable change in the definition of the Péclet number.
Bibliographical noteFunding Information:
I would like to thank Nabil Laachi for pointing out the parallel between the axial components of the electrophoresis and electro-osmosis and Ehud Yariv for numerous discussions on this topic, and I thank both of them for their comments on earlier versions of this manuscript. This work was supported in part by the Camille and Henry Dreyfus Foundation New Faculty Award Program.
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- Channel flow
- Electrokinetic effects