Tseng S, Kao C Y, Hsu J P
Department of Mathematics, Tamkang University, Tamsui, Taipei, ROC.
Electrophoresis. 2000 Nov;21(17):3541-51. doi: 10.1002/1522-2683(200011)21:17<3541::AID-ELPS3541>3.0.CO;2-9.
The electrokinetic flow of an electrolyte solution in a planar slit covered by an ion-penetrable charged membrane layer is analyzed theoretically. An approximate analytical expression for the spatial variation in the electrical potential is derived, and the electroosmotic velocity, the total electric current, and the streaming potential of the system under consideration are evaluated. The effects of epsilon' (relative permittivity of liquid phase/relative permittivity of membrane layer), eta' (viscosity of liquid phase/viscosity of membrane layer) and the valence of anions (coions) on the volumetric flow rate and total current are examined. We show that the effect of the valence of cations (counterions) on the volumetric flow rate is less significant than that of epsilon' and that of eta'. However, the effect of epsilon' on the total current is less significant than that of the valence of cations and that of eta'. The variation of total current as a function of ionic strength is found to have a local minimum, regardless of whether a pressure gradient is applied or not. The absolute streaming potential has a local maximum as the concentration of fixed charge varies, which was not found in previous studies.
从理论上分析了在由离子可渗透的带电膜层覆盖的平面狭缝中电解质溶液的电动流动。推导了电势空间变化的近似解析表达式，并评估了所考虑系统的电渗速度、总电流和流动电势。研究了ε'（液相相对介电常数/膜层相对介电常数）、η'（液相粘度/膜层粘度）和阴离子（共离子）价态对体积流量和总电流的影响。我们表明，阳离子（反离子）价态对体积流量的影响不如ε'和η'的影响显著。然而，ε'对总电流的影响不如阳离子价态和η'的影响显著。发现总电流随离子强度的变化存在局部最小值，无论是否施加压力梯度。随着固定电荷浓度的变化，绝对流动电势存在局部最大值，这在以前的研究中未发现。
