Electroosmotic flow of a power-law fluid in a non-uniform microchannel

Ng, Chiu‐On; Cheng, Qi

doi:10.1016/j.jnnfm.2014.04.008

Cited by 55 publications

(52 citation statements)

References 38 publications

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“…Similar results with high zeta potentials in the walls of the micro-channel are found in [2]. The analysis of the electrokinetic flow of a power-law fluid through a slit channel with gradually varying wall potential and channel height was reported in [3,4]. They found that the interaction between the wall undulation and the wall potential modulation, under the combined action of hydrodynamic and electric forces, may give rise to a rich set of nonlinear behaviors for flow of a non-Newtonian fluid in the channel.…”

Section: Introductionsupporting

confidence: 77%

Viscoelastic Effects on Dispersion due to Electroosmotic Flow with Variable Zeta Potential

Arcos¹,

Bautista²,

Méndez³

et al. 2017

World Congress on Mechanical, Chemical, and Material Engineering

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-In this work the influence of viscoelasticity and wall zeta potential effects on the dispersion coefficient of an electroosmotic flow through a micro-channel is studied. The governing equations for the fluid are reduced in the limit of the lubrication approximation theory (LAT). For the symmetric electrolyte, the Poisson-Boltzmann equation was solved by considering the wall zeta potential changes axially by the relationship ( ) = 0 + ∆ sin 2 . Here 0 is a reference wall zeta-potential, ∆ is the amplitude of the fluctuations of the periodic function ( ), and are the axial variable and the micro-channel length, respectively. The simplified equations are solved numerically to determine the axial distribution of the dispersion coefficient as a function of the main parameters involved in the analysis.

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Section: Introductionsupporting

confidence: 77%

Viscoelastic Effects on Dispersion due to Electroosmotic Flow with Variable Zeta Potential

Arcos¹,

Bautista²,

Méndez³

et al. 2017

World Congress on Mechanical, Chemical, and Material Engineering

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“…The present problem is basically similar in mathematical formulation to that presented by Ng and Qi [5]. The key aspects of the problem formulation are summarized as follows.…”

Section: Introductionmentioning

confidence: 94%

“…Following Ng and Qi [5], we examine in this study combined pressure-driven and electroosmotic flow of a power-law fluid through a slit channel bounded by two nearly parallel walls, where the channel height as well as the wall potential may vary slowly and periodically with axial position. In the previous study [5], the patterns on the two walls are assumed to be aligned so that the ζ ζ ζ ζ flow is symmetrical about the centerline.…”

Section: The Problemmentioning

confidence: 99%

“…Whether the linear superposition of forces is applicable to nonNewtonian EOF in a non-uniform channel has been examined by Ng and Qi [5]. These authors presented a model for EOF of a power-law fluid through a non-uniform slit channel, which has the cross section as well as the wall potential to vary slowly with axial position, but with mid-plane symmetry.…”

Section: Introductionmentioning

confidence: 99%

“…The present study aims to extend the work of Ng and Qi [5] in an attempt to further look into EOF of a non-Newtonian fluid through a channel that is not only non-uniform in the axial direction, but also asymmetric about the mid-plane of the channel. The primary objective is to examine the effect of flow symmetry on the validity of the generalized force-flow relation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electroosmotic flow of a power-law fluid through an asymmetrical slit microchannel with gradually varying wall shape and wall potential

Cheng

2015

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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h i g h l i g h t s• Non-parallel electroosmotic flow of power-law fluid in a microchannel.• Lubrication theory for slowly varying channel height and wall potential.• Linear superposition of forces invalidated by asymmetry of channel.• Nonlinear interaction between wall undulation and wall charge modulation.• Flow-rate sensitive to phase shift of wall patterns and power-law index. g r a p h i c a l a b s t r a c t a b s t r a c tThis study aims to investigate electroosmotic flow of a power-law fluid through a slit channel with walls asymmetrically patterned with periodic variations in shape and zeta potential. On taking into account the near-wall depletion layer, the present problem is simplified on the basis of the lubrication approximation, and through the use of the Helmholtz-Smoluchowski slip boundary condition. Nonlinear equations are to be solved for two unknown functions of axial dependence, one being the induced pressure gradient, and another being an undetermined stress component. An efficient numerical scheme is devised in this work to solve the nonlinear problem. Results are generated to check whether the principle of linear superposition of forces, for electrokinetic flow of a non-Newtonian fluid in the presence of a Newtonian depletion layer, is still applicable to flow in an asymmetric channel. It is also found that phase shifts between the geometrical and electric potential patterns on the two walls may lead to qualitatively disparate effects, depending on the power-law behavior index of the fluid and the applied pressure gradient.

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Electroosmotic Flow in Fractal Tree‐Like Convergent Microchannel Network

Jing,

2024

Chem Eng & Technol

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Electroosmotic flow (EOF) in a fractal tree‐like microfluidic network has wide applications. To reduce the fluid resistance of EOF in the network, this paper numerically studies the influences of the branch convergence α, the level convergence κ, the length ratio λ, the branching number N, the maximum branching level M, and the channel height H of a fractal tree‐like convergent microchannel network (FTCMCN) on the EOF flowrate and analyzes the optimal structure of FTCMCN to maximize the EOF transport efficiency. The present paper finds the optimal structure of FTCMCN and its dependence on the various geometric and structural parameters. This work is beneficial to the optimization design of the FTCMCN to achieve the highest EOF transport efficiency.

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Electroosmotic flow of a power-law fluid in a non-uniform microchannel

Cited by 55 publications

References 38 publications

Viscoelastic Effects on Dispersion due to Electroosmotic Flow with Variable Zeta Potential

Viscoelastic Effects on Dispersion due to Electroosmotic Flow with Variable Zeta Potential

Electroosmotic flow of a power-law fluid through an asymmetrical slit microchannel with gradually varying wall shape and wall potential

Electroosmotic Flow in Fractal Tree‐Like Convergent Microchannel Network

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