Optimal electro-osmotic pumping of a micro-duct with fin structures

Abstract eng:
This study is aimed to present an analysis of electro-osmotic (EO) pumping of a micro-duct with fin vanes. Fin structures are known to be an efficient and very important tool in conducting heat generated in fluid transport system, such as Joule’s heating in micro- fluidic devices. The present semi-analytical analysis, under the Debye-Huckel approximation (DHA), enables us to explicitly investigate the combined effects of various parameters for the purpose of optimizing the E0 pumping while retaining substantial fin vanes for heat removal. A mathematical model based on the solutions of two fundamental EO flows is introduced to explain how the choice of the fin vane may optimize the E0 pumping rate. Moreover, we identify and analyse several salient features of the optimized EO flow rates with the help of diagrams plotted on the plane of zeta potentials, which may serve as an easily used reference for engineering deign and applications.

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