Hydrodynamic dispersion in Hele-Shaw flows with inhomogeneous wall boundary conditions

Dehe, Sebastian; Lorenz, Imke-Sophie; Hardt, Steffen

doi:10.1017/jfm.2021.648

Cited by 6 publications

(4 citation statements)

References 69 publications

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“…Nonporous media hydrodynamic metamaterials, such as Hele‐Shaw cells, 38,39 which consist of two parallel plates separated by a small vertical gap that is much smaller than the horizontal length scale, resulting in a low Reynolds number flow regime. Through the manipulation of gap width and channel shape in a Hele‐Shaw cell, the behavior of the fluid can be controlled, for example, to induce flow instabilities or to create patterns 40–42 . Additionally, the effective viscosity 43–45 and effective density 46 can be tuned by varying the gap between two parallel plates in a Hele‐Shaw cell.…”

Section: Hydrodynamic Metamaterials: Definition and Principlementioning

confidence: 99%

“…Through the manipulation of gap width and channel shape in a Hele-Shaw cell, the behavior of the fluid can be controlled, for example, to induce flow instabilities or to create patterns. [40][41][42] Additionally, the effective viscosity [43][44][45] and effective density 46 can be tuned by varying the gap between two parallel plates in a Hele-Shaw cell. Therefore, it is possible to create hydrodynamic metamaterials that do not rely on porous media in a Hele-Shaw cell, using the same techniques as those used for porous medium-based hydrodynamic metamaterials.…”

Section: A Brief Introduction To Flow Field For Hydrodynamic Metamate...mentioning

confidence: 99%

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Hydrodynamic metamaterials: Principles, experiments, and applications

Chen,

Shen,

2023

Droplet

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Hydrodynamic metamaterials, a nascent research field, possess immense potential for fluid flow manipulation. With engineered structure design, they offer unparalleled control over fluid behavior beyond the capabilities of conventional methods. In this review, we focus on hydrodynamic metamaterials and provide a comprehensive overview of the current state of this research field. We start by introducing basic theories and principles of hydrodynamic metamaterials and then illustrate the different functions of hydrodynamic metamaterials that have been realized in porous medium flow and Hele‐Shaw flow. Moreover, we also demonstrate the multifunctional metamaterials that have been developed in hydrodynamics. Some research progresses are highlighted due to their promising applications, including drag reduction, microfluidic manipulation, and biological tissue coculture. The review concludes by identifying major challenges and proposing research directions for the future.

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Section: Hydrodynamic Metamaterials: Definition and Principlementioning

confidence: 99%

Section: A Brief Introduction To Flow Field For Hydrodynamic Metamate...mentioning

confidence: 99%

Hydrodynamic metamaterials: Principles, experiments, and applications

Chen,

Shen,

2023

Droplet

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“…Furthermore, Jiang and Chen extended the concept of hydrodynamic dispersion to the situation where particles are active, a condition that occurs in applications involving micro-organisms (Jiang & Chen 2019, 2020). Concurrently, Dehe, Rehm & Hardt (2021) derived a two-dimensional dispersion model for inhomogeneous flow fields inside a Hele-Shaw cell. There is also a series of recently published papers on the hydrodynamic dispersion caused by new flow generation mechanisms that are particularly useful at the microscale such as electroosmosis (Dutta 2007; Paul & Ng 2012; Arcos et al 2018; Hoshyargar et al 2018; Muñoz et al 2018; Sadeghi et al 2020; Talebi, Ashrafizadeh & Sadeghi 2021), diffusioosmosis (Hoshyargar, Ashrafizadeh & Sadeghi 2017) and capillarity (Fridjonsson, Seymour & Codd 2014).…”

Section: Introductionmentioning

confidence: 99%

Unsteady convective–diffusive transport in semicircular microchannels with irreversible wall reaction

Azari

Sadeghi

2022

J. Fluid Mech.

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The unsteady dispersion of a solute band by a steady pressure-driven flow in a semicircular microchannel is theoretically studied via the generalized dispersion model. Considering an irreversible first-order reaction at the curved wall while assuming a no-flux boundary condition at the flat wall, analytical solutions are obtained for the exchange, convection and dispersion coefficients as well as the dimensionless forms of solute concentration and mean solute concentration. The solutions are obtained assuming an initial solute band of arbitrary cross-sectional shape and axial distribution and the results are presented for both circular and semicircular shapes with the uniform distribution being a special case of the latter. Besides the general solutions, special solutions are also derived for uniform velocity and no-reaction cases. In the following, the influences of the initial concentration distribution and the Damköhler number, a measure of the reaction rate, on the transport coefficients and the concentration distribution are investigated in depth. It is demonstrated that the combination of the initial concentration distribution and the Damköhler number specifies the variations of the transport coefficients in the short term but the Damköhler number is the only parameter dominating the long-term values: the exchange and convection coefficients are increasing functions of the Damköhler number whereas the opposite is true for the dispersion coefficient. Moreover, we show that, provided the solute injection is appropriately positioned and shaped, liquid-phase transportation with little dispersion is possible in typical microchannels utilizing semicircular geometry.

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“…The concept of using gate electrodes for field-effect control has long been used in microfluidics to improve the resolution of capillary electrophoresis − or to control electroosmotic flow. − Gate electrodes have also been employed in submicrometer dimensions, − e.g., for modulating ionic currents, manipulating water-dispersed nanoscale objects, − or creating switchable nanovalves . Modulations of surface potentials have been probed by observing the mobility of charged dye molecules, and molecule–wall interactions were measured by infrared spectroscopy .…”

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confidence: 99%

Gate Electrodes Enable Tunable Nanofluidic Particle Traps

Nicollier,

Ratschow,

Ruggeri

et al. 2024

J. Phys. Chem. Lett.

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The ability to control the location of nanoscale objects in liquids is essential for fundamental and applied research from nanofluidics to molecular biology. To overcome their random Brownian motion, the electrostatic fluid trap creates local minima in potential energy by shaping electrostatic interactions with a tailored wall topography. However, this strategy is inherently static; once fabricated, the potential wells cannot be modulated. Here, we propose and experimentally demonstrate that such a trap can be controlled through a buried gate electrode. We measure changes in the average escape times of nanoparticles from the traps to quantify the induced modulations of 0.7 k B T in potential energy and 50 mV in surface potential. Finally, we summarize the mechanism in a parameter-free predictive model, including surface chemistry and electrostatic fringing, that reproduces the experimental results. Our findings open a route toward real-time controllable nanoparticle traps.

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Hydrodynamic dispersion in Hele-Shaw flows with inhomogeneous wall boundary conditions

Abstract: Abstract

Cited by 6 publications

References 69 publications

Hydrodynamic metamaterials: Principles, experiments, and applications

Hydrodynamic metamaterials: Principles, experiments, and applications

Unsteady convective–diffusive transport in semicircular microchannels with irreversible wall reaction

Gate Electrodes Enable Tunable Nanofluidic Particle Traps

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