NDLI: Approach to analytic solutions for electroosmotic flow in micro-ducts by eigenfunctions of the Helmholtz equation

Content Provider	Springer Nature Link
Author	Wang, Chang Yi Kung, Chun Fei Chang, Chien Cheng
Copyright Year	2016
Abstract	In the literature, a limited number of analytical solutions for electroosmotic (EO) flow in micro-ducts were obtained. In this study, we present a general formulation using eigenfunctions of the Helmholtz equation to obtain analytic solutions for steady and unsteady EO flow in micro-ducts under Debye–Hückel approximation. The key observation is that the differential operator associated with the equation for the EO flow is strictly positive definite. Examples that add to analytic solutions for EO flow include exact series and closed-form solutions to the steady flow, and the starting flow and the oscillatory flow in three triangular ducts are found. It is easy to deduce some salient features of flow physics, such as the flow rate, transient time and phase lag as well as the velocity profile from the general solution, and they are given quantitative values in the individual examples.
Starting Page	1
Ending Page	13
Page Count	13
File Format	PDF
ISSN	16134982
Journal	Microfluidics and Nanofluidics
Volume Number	20
Issue Number	8
e-ISSN	16134990
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-07-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Electroosmotic flow Micro-ducts Starting Oscillatory Triangular Helmholtz equation Eigenfunctions Analytic solution Engineering Fluid Dynamics Biomedical Engineering Analytical Chemistry Nanotechnology and Microengineering
Content Type	Text
Resource Type	Article
Subject	Nanoscience and Nanotechnology Materials Chemistry Condensed Matter Physics Electronic, Optical and Magnetic Materials

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