Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects

doi:10.1007/s10483-017-2307-7

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (3): 395-408.doi: https://doi.org/10.1007/s10483-017-2307-7

Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects

Hang XU¹, I. POP², Q. SUN³

1. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2. Department of Mathematics, Babe?-Bolyai University, Cluj-Napoca 400084, Romania;
3. Particulate Fluids Processing Centre, Department of Chemical Engineering, The University of Melbourne, Parkville, VIC 3010, Australia

收稿日期:2017-07-13 修回日期:2017-08-31 出版日期:2018-03-01 发布日期:2018-03-01
通讯作者: Q. SUN E-mail:qiang.sun@unimelb.edu.au

Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects

Hang XU¹, I. POP², Q. SUN³

1. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, State Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;
2. Department of Mathematics, Babe?-Bolyai University, Cluj-Napoca 400084, Romania;
3. Particulate Fluids Processing Centre, Department of Chemical Engineering, The University of Melbourne, Parkville, VIC 3010, Australia

Received:2017-07-13 Revised:2017-08-31 Online:2018-03-01 Published:2018-03-01
Contact: Q. SUN E-mail:qiang.sun@unimelb.edu.au

摘要/Abstract

摘要：

We develop a mathematical model to describe the flow in a microchannel driven by the upper stretching wall of the channel in the presence of electrokinetic effects. In this model, we avoid imposing any unphysical boundary condition, for instance, the zero electrostatic potential in the middle of the channel. Using the similarity transformation, we employ the homotopy analysis method (HAM) to get the analytical solution of the model. In our approach, the unknown pressure constant and the integral constant related to the electric potential are solved spontaneously by using the proper boundary conditions on the channel walls, which makes our model consistent with the commonly accepted models in the field of fluid mechanics. It is expected that our model can offer a general and proper way to study the flow phenomena in microchannels.

关键词: microchannel, higher order functional partial differential equation, boundary value problems, forced oscillation, stretching wall, electro-viscous flow model, electrokinetic effect

Abstract:

Key words: higher order functional partial differential equation, boundary value problems, forced oscillation, electro-viscous flow model, stretching wall, microchannel, electrokinetic effect

中图分类号:

Hang XU, I. POP, Q. SUN. Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(3): 395-408.

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Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects

Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects

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