Transient Electro-Osmotic and Pressure Driven Flows through a Microannulus

Ren Na, Yongjun Jian, Long Chang, Jie Su, Quansheng Liu

School of Mathematical Science, Inner Mongolia University, Hohhot, China.
School of Mathematics and Statistics, Inner Mongolia University of Finance and Economics, Hohhot, China.

DOI: 10.4236/ojfd.2013.32007                

Abstract

Flow behavior of transient mixed electro-osmotic and pressure driven flows (EOF/PDF) through a microannulus is investigated based on a linearized Poisson-Boltzmann equation and Navier-Stokes equation. A semi-analytical solution of EOF velocity distribution as functions of relevant parameters is derived by Laplace transform method. By numerical computations of inverse Laplace transform, the effects of inner to outer wall zeta potential β, the normalized pressure gradient Ω and the inner to outer radius ratio α on transient EOF velocity are presented.

Keywords

Microannulus; Electric Double Layer (EDL); Unsteady EOF/PDF; Hydromechanics

Conflicts of Interest

The authors declare no conflicts of interest.

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