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Geometric effects on electrocapillarity in nanochannels with an overlapped electric double layer SCIE SCOPUS

Title
Geometric effects on electrocapillarity in nanochannels with an overlapped electric double layer
Authors
Lee, JAKang, IS
Date Issued
2016-10-10
Publisher
AMER PHYSICAL SOC
Abstract
Unsteady filling of electrolyte solution inside a nanochannel by the electrocapillarity effect is studied. The filling rate is predicted as a function of the bulk concentration of the electrolyte, the surface potential (or surface charge density), and the cross sectional shape of the channel. For a nanochannel, the average outward normal stress exerted on the cross section of a channel ((P) over bar (zz)) can be regarded as a measure of electrocapillarity and it is the driving force of the flow. This electrocapillarity measure is first analyzed by using the solution of the Poisson-Boltzmann equation. From the analysis, it is found that the results for many different cross sectional shapes can be unified with good accuracy if the hydraulic radius is adopted as the characteristic length scale of the problem. Especially in the case of constant surface potential, for both limits of kh -> 0 and kh -> infinity, it can be shown theoretically that the electrocapillarity is independent of the cross sectional shape if the hydraulic radius is the same. In order to analyze the geometric effects more systematically, we consider the regular N-polygons with the same hydraulic radius and the rectangles of different aspect ratios. Washburn's approach is then adopted to predict the filling rate of electrolyte solution inside a nanochannel. It is found that the average filling velocity decreases as N increases in the case of regular N-polygons with the same hydraulic radius. This is because the regular N-polygons of the same hydraulic radius share the same inscribing circle.
URI
https://oasis.postech.ac.kr/handle/2014.oak/37162
DOI
10.1103/PHYSREVE.94.043105
ISSN
2470-0045
Article Type
Article
Citation
Physical Review E, vol. 94, no. 4, 2016-10-10
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강인석KANG, IN SEOK
Dept. of Chemical Enginrg
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