Volume 22, Issue 4
Electrophoresis of a Cylinder in a Cylindrical Tube

Huicheng Feng & Teck Neng Wong

Commun. Comput. Phys., 22 (2017), pp. 1101-1122.

Published online: 2017-10

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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.

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@Article{CiCP-22-1101, author = {}, title = {Electrophoresis of a Cylinder in a Cylindrical Tube}, journal = {Communications in Computational Physics}, year = {2017}, volume = {22}, number = {4}, pages = {1101--1122}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0011}, url = {http://global-sci.org/intro/article_detail/cicp/9995.html} }
TY - JOUR T1 - Electrophoresis of a Cylinder in a Cylindrical Tube JO - Communications in Computational Physics VL - 4 SP - 1101 EP - 1122 PY - 2017 DA - 2017/10 SN - 22 DO - http://doi.org/10.4208/cicp.OA-2017-0011 UR - https://global-sci.org/intro/article_detail/cicp/9995.html KW - AB -

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.

Huicheng Feng & Teck Neng Wong. (2020). Electrophoresis of a Cylinder in a Cylindrical Tube. Communications in Computational Physics. 22 (4). 1101-1122. doi:10.4208/cicp.OA-2017-0011
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