Transient electro-osmotic flow in cylindrical microcapillaries containing salt-free medium

被引:22
作者
Chang, Shih-Hsiang [1 ]
机构
[1] Far E Univ, Dept Mech Engn, Tainan 744, Taiwan
来源
BIOMICROFLUIDICS | 2009年 / 3卷 / 01期
关键词
contact potential; electrolysis; microchannel flow; Navier-Stokes equations; osmosis; stochastic processes; surface charging; surface potential; SPHERICAL COLLOIDAL PARTICLES; COAXIAL JET MIXER; ELECTROPHORETIC MOBILITY; SIMULATION; INJECTION;
D O I
10.1063/1.3064113
中图分类号
Q5 [生物化学];
学科分类号
071010 ; 081704 ;
摘要
A theoretical study on the transient electro-osmotic flow through a cylindrical microcapillary containing a salt-free medium is presented for both constant surface charge density and constant surface potential. The exact analytical solutions for the electric potential distribution and the transient electro-osmotic flow velocity are derived by solving the nonlinear Poisson-Boltzmann equation and the Navier-Stokes equation. Based on these results, a systematic parametric study on the characteristics of the transient electro-osmotic flow is detailed. The general behavior of transient electro-osmotic flow in a cylindrical tube is similar to that observed in a microchannel containing an electrolyte solution. However, the steady-state electro-osmotic flow significantly deviates from the typical plug flow at higher surface charge and the rate of increase in the electro-osmotic mobility is strongly suppressed due to the effect of counterion condensation. In addition, the applicability limit of these solutions is also discussed.
引用
收藏
页数:9
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