전기 이중층의 상호작용을 고려한 2차원 슬릿 내의 전기삼투 유동에 관한 이론적 해석

An Theoretical Analysis of Electro-osmotic Flow in 2-dimensional slit with Electrical Double Layers in Interaction

An theoretical analysis on the electro-osmotic flow in a 2-dimensional slit, that is induced by an external electric field acting on the electrical double layers near the slit wall, was performed. Especially, although there were many studies on the interacting electrical double layers, it was found in this study that they have several physical or mathematical fallacies. To resolve these, the general solution on the charge-regulating slit with the height as a parameter was obtained. The results of this work can provide the electrokinetic solution of nanoscale slit with the electrical double layer interaction as well as that of microscale slit without the interaction and can be used as the benchmark of a numerical analysis and the reference of electrokinetic flow path design.