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The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces

In this paper, the effects of asymmetrically modulated charged surfaces on streaming potential, velocity field and flow rate are investigated under the axial pressure gradient and vertical magnetic field. In a parallel-plate microchannel, modulated charged potentials on the walls are depicted by the...

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Autores principales: Bian, Xinyue, Li, Fengqin, Jian, Yongjun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8778432/
https://www.ncbi.nlm.nih.gov/pubmed/35056231
http://dx.doi.org/10.3390/mi13010066
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author Bian, Xinyue
Li, Fengqin
Jian, Yongjun
author_facet Bian, Xinyue
Li, Fengqin
Jian, Yongjun
author_sort Bian, Xinyue
collection PubMed
description In this paper, the effects of asymmetrically modulated charged surfaces on streaming potential, velocity field and flow rate are investigated under the axial pressure gradient and vertical magnetic field. In a parallel-plate microchannel, modulated charged potentials on the walls are depicted by the cosine function. The flow of incompressible Newtonian fluid is two-dimensional due to the modulated charged surfaces. Considering the Debye–Hückel approximation, the Poisson–Boltzmann (PB) equation and the modified Navier-Stokes (N-S) equation are established. The analytical solutions of the potential and velocities (u and v) are obtained by means of the superposition principle and stream function. The unknown streaming potential is determined by the condition that the net ionic current is zero. Finally, the influences of pertinent dimensionless parameters (modulated potential parameters, Hartmann number and slip length) on the flow field, streaming potential, velocity field and flow rate are discussed graphically. During the flow process and under the impact of the charge-modulated potentials, the velocity profiles present an oscillating characteristic, and vortexes are generated. The results show that the charge-modulated potentials are beneficial for the enhancement of the streaming potential, velocity and flow rate, which also facilitate the mixing of fluids. Meanwhile, the flow rate can be controlled through the use of a low-amplitude magnetic field.
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spelling pubmed-87784322022-01-22 The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces Bian, Xinyue Li, Fengqin Jian, Yongjun Micromachines (Basel) Article In this paper, the effects of asymmetrically modulated charged surfaces on streaming potential, velocity field and flow rate are investigated under the axial pressure gradient and vertical magnetic field. In a parallel-plate microchannel, modulated charged potentials on the walls are depicted by the cosine function. The flow of incompressible Newtonian fluid is two-dimensional due to the modulated charged surfaces. Considering the Debye–Hückel approximation, the Poisson–Boltzmann (PB) equation and the modified Navier-Stokes (N-S) equation are established. The analytical solutions of the potential and velocities (u and v) are obtained by means of the superposition principle and stream function. The unknown streaming potential is determined by the condition that the net ionic current is zero. Finally, the influences of pertinent dimensionless parameters (modulated potential parameters, Hartmann number and slip length) on the flow field, streaming potential, velocity field and flow rate are discussed graphically. During the flow process and under the impact of the charge-modulated potentials, the velocity profiles present an oscillating characteristic, and vortexes are generated. The results show that the charge-modulated potentials are beneficial for the enhancement of the streaming potential, velocity and flow rate, which also facilitate the mixing of fluids. Meanwhile, the flow rate can be controlled through the use of a low-amplitude magnetic field. MDPI 2021-12-30 /pmc/articles/PMC8778432/ /pubmed/35056231 http://dx.doi.org/10.3390/mi13010066 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Bian, Xinyue
Li, Fengqin
Jian, Yongjun
The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces
title The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces
title_full The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces
title_fullStr The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces
title_full_unstemmed The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces
title_short The Streaming Potential of Fluid through a Microchannel with Modulated Charged Surfaces
title_sort streaming potential of fluid through a microchannel with modulated charged surfaces
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8778432/
https://www.ncbi.nlm.nih.gov/pubmed/35056231
http://dx.doi.org/10.3390/mi13010066
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