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Flow behavior in microchannel made of different materials with wall slip velocity and electro-viscous effects

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Abstract

In a microfluidic system, flow slip velocity on a solid wall can be the same order of magnitude as the average velocity in a microchannel. The flow-electricity interaction in a complex microfluidic system subjected to joint action of wall slip and electro-viscous effect is an important topic. This paper presents an analytic solution of pressure-driven liquid flow velocity and flow-induced electric field in a two-dimensional microchannel made of different materials with wall slip and electro-viscous effects. The Poisson- Boltzmann equation and the Navier-Stokes equation are solved for the analytic solutions. The analytic solutions agree well with the numerical solutions. It was found that the wall slip amplifies the flow-induced electric field and enhances the electro-viscous effect on flow. Thus the electro-viscous effect can be significant in a relatively wide microchannel with relatively large κh, the ratio of channel width to thickness of electric double layer, in comparison with the channel without wall slip.

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Authors and Affiliations

  1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan National Laboratory of Optoelectronics, 430074, Wuhan, China

    Lei Wang & Jiankang Wu

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  1. Lei Wang
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  2. Jiankang Wu
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Correspondence to Jiankang Wu.

Additional information

The project was supported by the National Natural Science Foundation of China (10872076).

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Wang, L., Wu, J. Flow behavior in microchannel made of different materials with wall slip velocity and electro-viscous effects. Acta Mech Sin 26, 73–80 (2010). https://doi.org/10.1007/s10409-009-0286-y

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  • DOI: https://doi.org/10.1007/s10409-009-0286-y

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