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Electrophoresis of a Cylinder in a Cylindrical Tube

Part of: Magnetohydrodynamics and electrohydrodynamics

Published online by Cambridge University Press:  28 July 2017

Huicheng Feng  and
Teck Neng Wong
Huicheng Feng*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
Teck Neng Wong*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
*
*Corresponding author. Email addresses:mtnwong@ntu.edu.sg (T. N. Wong), feng0050@e.ntu.edu.sg (H. Feng)
*Corresponding author. Email addresses:mtnwong@ntu.edu.sg (T. N. Wong), feng0050@e.ntu.edu.sg (H. Feng)
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Abstract

Electrophoresis of a cylinder suspended in a cylindrical tube is analytically studied in the limit of thin electric double layer approximation. The electric and fluid flow fields within the annulus, and the cylinder velocities are analytically obtained in bipolar coordinates. The results are analyzed with various values of dimensionless parameters: eccentricity, cylinder-to-tube radius ratio and tube-to-cylinder zeta potential ratio (i.e., tube-to-cylinder velocity scale ratio). The analysis shows that microvortices are generated within the annulus. By changing the parameters, different flow patterns can be created, which shows potential for mixing enhancement in micro/nanofluidics. Moreover, the cylinder not only translates but also rotates when the cylinder and tube are eccentric. The cylinder rotation might be utilized as a micromotor or an electric field detector. The cylinder trajectories show that the cylinder may approach the tube wall or rest within the tube depending on the zeta potential ratio.

Keywords

Electrophoresiscylindrical tubevortex generationcylinder rotation

MSC classification

Secondary: 76W05: Magnetohydrodynamics and electrohydrodynamics
Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 4 , October 2017 , pp. 1101 - 1122
Copyright
Copyright © Global-Science Press 2017 

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