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Study of a Newtonian Fluid through Circular Channels with Slip Boundary Taking into Account Electrokinetic Effect

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Authors
Sun, Qian
Wu, Yong Hong
Liu, Lishan
Wiwatanapataphee, B
Date
2013
Type
Journal Article

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Sun, Qian and Wu, Yonghong and Liu, Lishan and Wiwatanapataphee, B. 2013. Study of a Newtonian Fluid through Circular Channels with Slip Boundary Taking into Account Electrokinetic Effect. Abstract and Applied Analysis. Article ID 718603 (9 pp.).
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Abstract and Applied Analysis
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This article is published under the Open Access publishing model and distributed under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/ Please refer to the licence to obtain terms for any further reuse or distribution of this work.

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Abstract

We study the slip flow of fluids driven by the combined effect of electrical force and pressure gradient. The underlying boundary value problem is solved through the use of Fourier series expansion in time and Bessel function in space. The exact solutions and numerical investigations show that the slip length and electrical field parameters have significant effects on the velocity profile. By varying these system parameters, one can achieve smooth velocity profiles or wave form profiles with different wave amplitude and frequency. This opens the way for optimizing the flow by choosing the slip length, the electrical field, and electrolyte solutions.