title: Effect of eccentricity on the electroosmotic flow in an elliptic channel.
abstract: The electroosmotic flow in an elliptic channel having constant surface potential (CSP) or charge density (CSCD) is considered at low potential and arbitrary double layer thickness. Analytical expressions for the flow velocity and the corresponding asymptotic results for thick double layers that are readily applicable to experimentalists are recovered. For the range of salt concentration usually encountered in practice, the mean flow velocity for the case of CSP differs both quantitatively and qualitatively from that for the case of CSCD. Using an equivalent circular channel to simulate an elliptic one is inappropriate, in general, neither is assuming electroneutrality on the channel axis even when double layer is ca. 1/3 of the equivalent channel radius.
authors: Department of Chemical and Materials Engineering, National Yunlin University of Science and Technology, Yunlin 64002, Taiwan.
authors: Bo-Tau
authors: BT
authors: Liu
authors: Department of Mathematics, Tamkang University, Tamsui, Taipei 25137, Taiwan.
authors: Shiojenn
authors: S
authors: Tseng
authors: Department of Chemical Engineering, National Taiwan University, Taipei 10617, Taiwan.
authors: Jyh-Ping
authors: JP
authors: Hsu
keywords: Analytical solution; Electroosmotic flow; Elliptic channel; Mathieu functions