Effect of boundary slip on electroosmotic flow in a curved rectangular microchannel

doi:10.1088/1674-1056/ad3340

Abstract The aim of this study is to numerically investigate the impact of boundary slip on electroosmotic flow (EOF) in curved rectangular microchannels. Navier slip boundary conditions were employed at the curved microchannel walls. The electric potential distribution was governed by the Poisson-Boltzmann equation, whereas the velocity distribution was determined by the Navier-Stokes equation. The finite-difference method was employed to solve these two equations. The detailed discussion focuses on the impact of the curvature ratio, electrokinetic width, aspect ratio and slip length on the velocity. The results indicate that the present problem is strongly dependent on these parameters. The results demonstrate that by varying the dimensionless slip length from 0.001 to 0.01 while maintaining a curvature ratio of 0.5 there is a twofold increase in the maximum velocity. Moreover, this increase becomes more pronounced at higher curvature ratios. In addition, the velocity difference between the inner and outer radial regions increases with increasing slip length. Therefore, the incorporation of the slip boundary condition results in an augmented velocity and a more non-uniform velocity distribution. The findings presented here offer valuable insights into the design and optimization of EOF performance in curved hydrophobic microchannels featuring rectangular cross-sections.

Keywords: electroosmotic flow (EOF) curved rectangular microchannels slip boundary conditions

Received: 18 October 2023
Revised: 26 February 2024
Accepted manuscript online: 13 March 2024

PACS:	41.20.Cv	(Electrostatics; Poisson and Laplace equations, boundary-value problems)
	47.10.ad	(Navier-Stokes equations)
	47.61.-k	(Micro- and nano- scale flow phenomena)

Fund: Project supported by the Natural Science Foundation of Inner Mongolia of China (Grant No. 2021BS01008), the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region (Grant No. NMGIRT2323), and the Scientific Research Funding Project for introduced high level talents of IMNU (Grant No. 2020YJRC014).

Corresponding Authors: Yong-Bo Liu
E-mail: liuyb@mail.imu.edu.cn

Cite this article:

Yong-Bo Liu(刘勇波)1,2 Effect of boundary slip on electroosmotic flow in a curved rectangular microchannel 2024 Chin. Phys. B 33 074101

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Effect of boundary slip on electroosmotic flow in a curved rectangular microchannel

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