Electrokinetic membrane pumping flow model in a microchannel

Tripathi, Dharmendra; Narla, V. K.; Aboelkassem, Yasser

doi:10.1063/5.0015451

Cited by 31 publications

(12 citation statements)

References 53 publications

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“…In addition, our scaling analysis is performed on the case with the fixed dimensional Debye length, which is a limitation of the hypothetical scenario. Just for the non-shear electroosmotic flow, the effects of bulk concentration on the mixing efficiency (Peng & Li 2015), flow pattern (Aboelkassem 2019;Tripathi et al 2020) and enrichment efficiency (Ouyang et al 2018) are investigated. Similarly, the concentration effect of the shear electroconvective flow may be interesting, and the experimental and theoretical studies on it deserve to be conducted in the future.…”

Section: Discussionmentioning

confidence: 99%

“…To date, there are three possible explanations for the physical mechanism of ECF. One is the non-equilibrium ECF (Zaltzman & Rubinstein 2007) related to the extended space charge (ESC) layer, the other is the equilibrium ECF (Rubinstein & Zaltzman 2015;Aboelkassem 2019;Tripathi, Narla & Aboelkassem 2020;Xu et al 2020) related to the electric double layer and the last is the ECF related to charge injection (Guan, Riley & Novosselov 2020;Luo et al 2020;Su et al 2020). The non-equilibrium ECF associated with the ESC layer, which is typically triggered in electrochemical systems embedded with cation-selective membranes, is considered here, as shown in figure 1.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Critical selection of shear sheltering in electroconvective flow from chaotic to steady state

2022

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Ion and water are transported by electroconvection near permselective membranes, resulting in complex phenomena associated with the flow–fines interaction. Sheltering the flow chaos by the shear flow is a common strategy in plasma fluids and has recently been successfully applied to control ionic fluids. The paper herein reveals the critical selection of shear velocity regarding the fluid from a chaotic to a steady state through numerical and theoretical analyses. For the shear sheltering, the dimensionless Debye length ${\lambda _D}$ with varying channel height is introduced to achieve a comprehensive discussion of the factors and laws affecting the shear vortex state. Based on an analysis of the vortex driving mechanism, the scaling of the slip velocity ${u_s}\sim {(\lambda _D^{ - 1}\Delta {\phi ^4})^{1/3}}$ is recommended as the critical selection factor for the steady and chaotic state under a fixed shear flow velocity, which involves the dimensionless Debye length ${\lambda _D}$ and voltage difference $\Delta \phi $ . Furthermore, for ionic fluid control by shear flow, a critical shear velocity ${U_{HPC}}$ is proposed to distinguish the electroconvective flow from a chaotic state to a steady state. When the shear flow velocity ${U_{HP}} > {U_{HPC}}$ , the shear flow shelters chaos, and the scaling law is also recommended for the regulation of the critical shear flow velocity ${U_{HPC}}$ jointly by ${\lambda _D}$ and $\Delta \phi $ . The analysis is confirmed by direct numerical simulation and existing experimental data (J. Fluid Mech, vol. 813, 2017, pp. 799–823). This work provides a more comprehensive physical insight for shear sheltering and affects the design of electromembrane microfluidics.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Critical selection of shear sheltering in electroconvective flow from chaotic to steady state

2022

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“…Confluence of electrohydrodynamics and the lubrication theory, which is expressed mathematically in a general sense in (4.14), has been partially addressed by a few earlier studies. Some of them (Ajdari 2001;Park et al 2006;Tripathi, Narla & Aboelkassem 2020) focused on electrokinetic flows in converging-diverging conduits with cylindrical cross-sections using a modified lubrication theory. Others, such as Ghosal (2002), considered the modified Reynolds equations in the thin EDL limit inside a channel of arbitrary but slowly varying cross-section and derived a constraint equivalent to current conservation ((4.14b) in the present study) using solvability conditions.…”

Section: Novel Contributions Of the Present Formulationmentioning

confidence: 99%

Coupled electrohydrodynamic transport in rough fractures: a generalized lubrication theory

et al. 2022

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Fractures provide pathways for fluids and solutes through crystalline rocks and low permeability materials, thus playing a key role in many subsurface processes and applications. In small aperture fractures, solute transport is strongly impacted by the coupling of electrical double layers at mineral–fluid interfaces to bulk ion transport. Yet, most models of flow and transport in fractures ignore these effects. Solving such coupled electrohydrodynamics in realistic three-dimensional (3-D) fracture geometries poses computational challenges which have so far limited our understanding of those electro-osmotic effects’ impact. Starting from the Poisson–Nernst–Planck–Navier–Stokes (PNPNS) equations and using a combination of rescaling, asymptotic analysis and the Leibniz rule, we derive a set of nonlinearly coupled conservation equations for the local fluxes of fluid mass, solute mass and electrical charges. Their solution yields the fluid pressure, solute concentration and electrical potential fields. The model is validated by comparing its predictions to the solutions of the PNPNS equations in 3-D rough fractures. Application of the model to realistic rough fracture geometries evidences several phenomena hitherto not reported in the literature, including: (i) a dependence of the permeability and electrical conductivity on the fracture walls’ charge density, (ii) local (sometimes global) flow reversal, and (iii) spatial heterogeneities in the concentration field without any imposed concentration gradient. This new theoretical framework will allow systematically addressing large statistics of fracture geometry realizations of given stochastic parameters, to infer the impact of the geometry and various hydrodynamic and electrical parameters on the coupled transport of fluid and ions in rough fractures.

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“…Microfluidic transport systems generated much attention among researchers due to their various applications like micro‐electro‐mechanical systems, biochemical analysis, drug delivery, thermal management of the microelectronic systems, and heat exchangers. In view of this, Tripathi et al 17 discussed the membrane propagation in the microchannel under applications of electrokinetics. They illustrated the novel microfluidic pumping mechanisms for the application of biomedical transport phenomena.…”

Section: Introductionmentioning

confidence: 99%

Analysis of thermal radiation, Joule heating, and viscous dissipation effects on blood‐gold couple stress nanofluid flow driven by electroosmosis

et al. 2022

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Gold nanoparticles associated with DNA, RNA, proteins, oligonucleotides, and peptides are useful in therapies and drug delivery. The present article mainatins that gold nanoparticles play a tremendous role in remedying cancer and fatal diseases. A mathematical model is proposed for the two-dimensional motion of the couple stress nanofluid consisting of gold nanoparticles under the application of peristaltic propulsion and electroosmosis mechanisms in an asymmetric microchannel. The effects of radiation with slip boundary have been employed. The governing equations are simplified under the assumptions of low Reynolds number and long wavelength and the Poisson-Boltzmann equation is solved under Debye-Hückel linearization. Analytical solutions for the velocity of fluid motion, nanoparticle temperature, stream function, pressure gradient, are evaluated and analyzed graphically under the effects of various physical parameters. It is notable from the analysis that raising the Brinkman number boosts the nanoparticle temperature and heat transfer coefficient which validate the physical model and analysis. Moreover, it is noticed that sphere-shaped gold

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Electrokinetic membrane pumping flow model in a microchannel

Cited by 31 publications

References 53 publications

Critical selection of shear sheltering in electroconvective flow from chaotic to steady state

Critical selection of shear sheltering in electroconvective flow from chaotic to steady state

Coupled electrohydrodynamic transport in rough fractures: a generalized lubrication theory

Analysis of thermal radiation, Joule heating, and viscous dissipation effects on blood‐gold couple stress nanofluid flow driven by electroosmosis

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