Mass transport in electrokinetic microflows with the wall reaction affecting the hydrodynamics

Mondal, Sourav; De, Sirshendu

doi:10.1007/s00162-020-00549-5

Cited by 4 publications

(2 citation statements)

References 67 publications

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“…Comparing the blue (or red) curve with the green (or cyan) curve establishes the fact, that the wall surface concentration is less than the bulk in the case of

G_{1} > 0

(|G_{1}| ~ 1)

, due to electrostatic repulsion. In this circumstance, the shape of the concentration boundary layer is reversed, since the wall concentration is lower than the bulk concentration 38 . The sign of the parameter

S_{1}

represents the action of the external electric field in relation to the axial pressure gradient in the channel.…”

Section: Discussionmentioning

confidence: 99%

“…In this circumstance, the shape of the concentration boundary layer is reversed, since the wall concentration is lower than the bulk concentration. 38 The sign of the parameter S 1 represents the action of the external electric field in relation to the axial pressure gradient in the channel. For S 1 > 0 S 1 j j$ 0:5 ð Þ , the electroosmotic flow is assisting (same direction) the Poiseuille flow (Figure 2A), and vice-versa (both the effects are opposing when S 1 < 0).…”

Section: Mathematical Formulationmentioning

confidence: 99%

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Electro‐kinetically enhanced mass transport of charged macro‐solutes through a microchannel with porous walls

Bhattacharjee

Mondal

2022

AIChE Journal

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Electrokinetics of the solute transport across the porous walls of micro channel is important from its practical application but less explored. Transport of the charged macro‐solutes across perm‐selective walls in a microchannel is investigated. The extended Nernst–Planck equation describes the charged macro‐solutes distribution in the mass transfer boundary layer over the porous wall. The transverse electromigration of the charged macro‐solute either augments or suppresses the concentration polarization and the permeation rate depending on the wall and solute surface potential (attractive or repelling). The wall potential is screened due to the electrical double layer interaction of the wall and charged solute. It is observed that the charged solute concentration over the channel wall enhances by two times in case of oppositely charged interactions (unlike solute and channel wall) compared to like charges. The findings of this study can facilitate understanding of electrokinetic based drug delivery and separation systems involving charged solutes.

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“…Comparing the blue (or red) curve with the green (or cyan) curve establishes the fact, that the wall surface concentration is less than the bulk in the case of

G_{1} > 0

(|G_{1}| ~ 1)

S_{1}

represents the action of the external electric field in relation to the axial pressure gradient in the channel.…”

Section: Discussionmentioning

confidence: 99%

Section: Mathematical Formulationmentioning

confidence: 99%

Electro‐kinetically enhanced mass transport of charged macro‐solutes through a microchannel with porous walls

Bhattacharjee

Mondal

2022

AIChE Journal

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Hydrodynamics rheological impact of an oscillatory electroosmotic flow on a mass transfer process in a microcapillary with a reversible wall reaction

et al. 2020

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In this work, we carry out a theoretical analysis of the mass transport rate through a long microcapillary, with a reactive wall, connecting two reservoirs with different concentrations of some electro-neutral solute, caused by an oscillatory electroosmotic flow of a Jeffreys fluid. The mass transport enhancement relative to that caused only by molecular diffusion is found to be a function of the following dimensionless parameters: the angular Reynolds number Rω; the Deborah numbers De1 and De2, associated with the relaxation and retardation times, respectively; the Schmidt number Sc; the Damköhler number Da; the partition number σ̃; the tidal displacement ΔZ; and the ratio between the radius of the microcapillary and the Debye length κ̃. We find that for a viscoelastic fluid, there exists a resonant behavior of the mass transfer rate when the angular Reynolds number assumes specific values. In this context, we evidence that the interaction between the fluid elasticity and the oscillatory character of the flow enhances the mass transfer rate up to several orders of magnitude compared with that caused by an oscillatory electroosmotic flow of a Newtonian fluid. We also found that the microcapillary wall’s reactive characteristics, manifested through the Damköhler number and the dimensionless partitioning coefficient, could enhance or diminish the mass transfer rate depending on the interplay of the other dimensionless parameters involved in the analysis.

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Mathematical modeling of electrokinetic transport through endothelial-cell glycocalyx

Dey

Sekhar

2021

Physics of Fluids

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The motivation for the present study is to understand the role of the endothelial-cell glycocalyx layer (EGL) toward the transport of charged or uncharged blood-borne solutes (nutrients, ions, drug nanoparticles, etc.) from the bloodstream inside the blood vessels. Various experimental observations prevail that EGL holds negative charges in its skeleton, and the corresponding electric double layer interacts with the blood plasma (treated as an electrolyte). The biphasic mixture theory-based momentum equations modified with the electrokinetic body forces are adopted to model EGL. On the other hand, the Stokes equation modified with the Coulomb body force is used to govern the flow of plasma. This study is analytical where a standard perturbation approach is deployed in the governing momentum balance equations which are subsequently solved by Fourier series expansion analysis. In the next part of the study, the diffusion-convection equation is adopted in the plasma region to study the blood-borne solute transport from plasma to EGL under the electrokinetic influence. Using a similarity method, the solute concentration within a thin mass transfer boundary layer close to the EGL interface is obtained. The present study reveals that a higher magnitude of both interface potential and charge density promotes the volumetric flow rate of plasma and the interface skin friction. Moreover, increased interface potential and charge density show the enhancement of solute transport from the plasma region to the EGL. Finally, this study finds criteria to identify a healthy EGL.

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Mass transport in electrokinetic microflows with the wall reaction affecting the hydrodynamics

Cited by 4 publications

References 67 publications

Electro‐kinetically enhanced mass transport of charged macro‐solutes through a microchannel with porous walls

Electro‐kinetically enhanced mass transport of charged macro‐solutes through a microchannel with porous walls

Hydrodynamics rheological impact of an oscillatory electroosmotic flow on a mass transfer process in a microcapillary with a reversible wall reaction

Mathematical modeling of electrokinetic transport through endothelial-cell glycocalyx

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