Resistance Effect of Electric Double Layer on Liquid Flow in Microchannel

GONG Lei; WU Jian-kang

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GONG Lei, WU Jian-kang. Resistance Effect of Electric Double Layer on Liquid Flow in Microchannel[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1219-1225.

Citation:

GONG Lei, WU Jian-kang. Resistance Effect of Electric Double Layer on Liquid Flow in Microchannel[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1219-1225.

Citation:

GONG Lei, WU Jian-kang. Resistance Effect of Electric Double Layer on Liquid Flow in Microchannel[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1219-1225.

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Resistance Effect of Electric Double Layer on Liquid Flow in Microchannel

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

Received Date: 2005-12-10
Rev Recd Date: 2006-07-10
Publish Date: 2006-10-15

Abstract

Abstract

Poisson-Boltzmann equation for electric double layer and Navier-Stokes equation for liquid flows to investigate resistance effect of electric double layer on liquid flow in microchannel were nu merically solved. The dimension analysis indicates that the resistance effect of electric double layer can be estimated by an electric resistance number, which is proportional to the square of the liquid dielec tric constant and the solid surface zeta potential, and inverse-proportional to the liquid dynamic vis cosity, electric conductivity and the square of the channel width. An electric current density balancing (ECDB) condition was proposed to evaluate the flow-induced streaming potential and electric resis tance, instead of conventional electric current balancing(ECB) condition which may induce spurious local backflow in neighborhood of solid wall of the microchannel. The numerical results of the flow rate loss ratio and velocity profile are also given to demonstrate the resistance effect of electric double layer in microchannel.
- microchannel,
- electric double layer,
- electric resistance number

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References(6)

References

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