Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow

GONG Lei; WU Jian-kang; Wang Lei; CHAO Kan

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(6): 649-656

GONG Lei, WU Jian-kang, Wang Lei, CHAO Kan. Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow[J]. Applied Mathematics and Mechanics, 2008, 29(6): 649-656.

Citation:

GONG Lei, WU Jian-kang, Wang Lei, CHAO Kan. Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow[J]. Applied Mathematics and Mechanics, 2008, 29(6): 649-656.

Citation:

GONG Lei, WU Jian-kang, Wang Lei, CHAO Kan. Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow[J]. Applied Mathematics and Mechanics, 2008, 29(6): 649-656.

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Periodical Streaming Potential and Electro-Viscous Effects in Microchannel Flow

Wuhan National Laboratory for Optoelectronics;Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

Received Date: 2007-12-18
Rev Recd Date: 2008-03-24
Publish Date: 2008-06-15

Abstract

Abstract

An analytical solution of periodical streaming potential, flow-induced electric field and velocity of periodical pressure-driven flows in two-dimensional uniform microchannel based on Poisson-Boltzmann equations for electric double layer and Navier-Stokes equation for liquid flow was presented. Dimensional analysis indicates that electric-viscous force depends on three factors: 1) Electricviscous coefficient representing a ratio of maximum of electric-viscous force to pressure gradient in steady state; 2) Profile function describing distribution profile of electrio-viscous force in channel section; 3) Coupling coefficient reflecting behavior of the amplitude damping and the phase offset of electro-viscous force. Analytical results indicate that flow-induced electric field and flow velocity depend on frequency Reynolds number. Flowinduced electric field varies very slowly when frequency Reynolds number is less than 1, and rapidly decreases when frequency Reynolds number is larger than 1. Electro-viscous effect on flow-induced electric field and flow velocity are very significant when the rate of the channel width to the thickness of electric double layer is small.
- steaming potential,
- flow-induced electric field,
- frequency Reynolds number,
- electro-viscous effect

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References(21)

References

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