Hsu Jyh-Ping, Weng Ying-Lun, Lee Duu-Jong, Tseng Shiojenn, Su Ay, Chen Chur-Jen
Department of Chemical Engineering, National Taiwan University, Taipei 10617, Taiwan.
Colloids Surf B Biointerfaces. 2006 Dec 1;53(2):127-38. doi: 10.1016/j.colsurfb.2006.08.012. Epub 2006 Aug 22.
The electrokinetic flow of an electrolyte solution in an elliptical microchannel covered by an ion-penetrable, charged membrane layer is examined theoretically. The present analysis extends previous results in that a two-dimensional problem is considered, and the system under consideration simulates the flow of a fluid, for example, in a microchannel of biological nature such as vein. The electroosmostic volumetric flow rate, the total electric current, the streaming potential, and the electroviscous effect of the system under consideration are evaluated. We show that, for a constant hydraulic diameter, the variations of these quantities as a function of the aspect ratio of a microchannel may have a local minimum or a local maximum at a medium level of ionic strength, which depends on the thickness of the membrane layer. For a constant cross-sectional area, the electroosmostic volumetric flow rate, the total electric current, and the streaming potential increase monotonically with the increase in the aspect ratio, but the reverse is true for the electroviscous effect.
从理论上研究了在覆盖有离子可渗透的带电膜层的椭圆形微通道中电解质溶液的电动流动。当前的分析扩展了先前的结果，即考虑了二维问题，并且所考虑的系统模拟了例如在诸如静脉等具有生物性质的微通道中的流体流动。评估了所考虑系统的电渗体积流量、总电流、流动电势和电粘滞效应。我们表明，对于恒定的水力直径，这些量随微通道纵横比的变化在中等离子强度水平下可能有局部最小值或局部最大值，这取决于膜层的厚度。对于恒定的横截面积，电渗体积流量、总电流和流动电势随纵横比的增加而单调增加，但电粘滞效应则相反。
