An analytical solution for pressure-driven periodical electrokinetic flows in a two-dimensional uniform microchannel is presented based on the Poisson–Boltzmann equation for electrical double layer and the Navier–Stokes equations for incompressible viscous fluid. The analytical results indicate that the periodical streaming potential strongly depends on the periodical Reynolds number which is a function of the frequency, the channel size, and the kinetic viscosity of fluids. For , the streaming potential behaves similarly to that of steady flow, whereas it decreases rapidly with Re as . In addition, the electroviscous force affects greatly both the periodical flow and streaming potential, particularly when the nondimensional electrokinetic diameter is small. The electroviscous force has been found to depend on three factors: first, the electroviscous parameter, which is defined as the ratio of the maximum electroviscous force to the pressure gradient; second, the distribution parameter describing the distribution of the electroviscous force over the cross section of the microchannel; third, the coupling coefficient, which is a function of both the periodical Reynolds number and electroviscous parameter, determining both the amplitude attenuation and phase offset of the electroviscous force.
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June 2008
Research Article|
June 25 2008
Streaming potential and electroviscous effects in periodical pressure-driven microchannel flow
Lei Gong;
Lei Gong
a)
Wuhan National Laboratory for Optoelectronics, Department of Mechanics,
Huazhong University of Science and Technology
, Wuhan 430074, China
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Jiankang Wu;
Jiankang Wu
Wuhan National Laboratory for Optoelectronics, Department of Mechanics,
Huazhong University of Science and Technology
, Wuhan 430074, China
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Lei Wang;
Lei Wang
Wuhan National Laboratory for Optoelectronics, Department of Mechanics,
Huazhong University of Science and Technology
, Wuhan 430074, China
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Kan Cao
Kan Cao
Wuhan National Laboratory for Optoelectronics, Department of Mechanics,
Huazhong University of Science and Technology
, Wuhan 430074, China
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a)
Author to whom correspondence should be addressed. Telephone: +86-027-87543338. FAX: +86-027-87543338. Electronic mail: [email protected].
Physics of Fluids 20, 063603 (2008)
Article history
Received:
December 25 2007
Accepted:
May 08 2008
Citation
Lei Gong, Jiankang Wu, Lei Wang, Kan Cao; Streaming potential and electroviscous effects in periodical pressure-driven microchannel flow. Physics of Fluids 1 June 2008; 20 (6): 063603. https://doi.org/10.1063/1.2939391
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