Finger instability of oscillating liquid–liquid interface in radial Hele-Shaw cell

Козлов, В. Г.; Karpunin, Ivan; Kozlov, Nikolai

doi:10.1063/5.0018541

Cited by 22 publications

(15 citation statements)

References 30 publications

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“…For example, in CO 2 sequestration in aquifer systems, the CO 2 fingering tends to bypass the brine, leading to the unstable propagation of CO 2 plume and larger contact between CO 2 and rock. To investigate the fundamental mechanisms of VF, a large number of experiments have been conducted in real porous media or a Hele-Shaw cell [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Viscous Fingering Dynamics and Flow Regimes of Miscible Displacements in a Sealed Hele-Shaw Cell

Solórzano

Yuan

2022

Energies

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Miscible viscous fingering occurs when a less viscous fluid displaces a more viscous one in porous media or a Hele–Shaw cell. Such flow instabilities are of particular interest in a variety of applications in flows and displacements in subsurface energy and environment systems. In this study, we investigate the miscible viscous fingering dynamics experimentally using water to displace glycerol in a sealed Hele–Shaw cell with two wells located in it instead of at the boundary or corners. We comprehensively examine the spatial and temporal variations of fingering dynamics, different flow regimes, and how they are affected by the water injection rate and control of pressure or rate at the outlet. Alongside the widely recognized diffusion-dominated and convection-dominated flow regimes, we identify three new regimes: a slow expansion regime prior to breakthrough, a rapid shrinkage regime immediately after breakthrough, and a uniform, slow expansion regime without fingering instability. Each regime is characterized by interesting flow dynamics, which has not been reported previously. The duration of each regime depends on the water injection rate and whether constant pressure or a constant production rate is applied at the outlet. The variations of swept area, interfacial length, and count of fingers are also quantitatively examined. This study provides new insights into the fundamental mechanisms for miscible fluid displacements in a variety of applications such as CO2 sequestration, hydrogen storage, enhanced oil recovery, and groundwater contaminate remediation.

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Section: Introductionmentioning

confidence: 99%

Viscous Fingering Dynamics and Flow Regimes of Miscible Displacements in a Sealed Hele-Shaw Cell

Solórzano

Yuan

2022

Energies

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“…A Hele-Shaw cell constitutes two parallel glass plates separated by a narrow space [1][2][3][4] . The distance between the two glass plates is referred to as the width of the gap of the cell.…”

Section: Vf Viscous Fingering Hs Hele-shawmentioning

confidence: 99%

Effect of Hele–Shaw cell gap on radial viscous fingering

Nand

Sharma

Das

et al. 2022

Sci Rep

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The flow through a Hele–Shaw cell is an experimental prototype to study the flow through a porous medium as well as the flow in microfluidic devices. In context with porous medium flows, it is used to visualize and understand hydrodynamic instabilities like viscous fingering (VF). The gap between the plates of the cell is an important parameter affecting the flow dynamics. However, the effect of the gap on the Hele–Shaw cell flows has been minimally explored. We perform experiments to understand the effect of the gap on VF dynamics. It is observed that a minimum gap is required to observe rigorous fingering instability. The onset time of instability, as well as the width of the fingers, increases with an increment in the gap due to a decrease in the convection. The instability increases with an increase in Péclet number, but the effect of gap width on fingering patterns is evident with broader fingers observed for larger b. The results are validated by performing numerical simulations. It is further shown that the gap-averaged three-dimensional simulations using the Stokes law approach and the two-dimensional Darcy’s law result in a small gap Hele–Shaw cell.

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“…We notice that mainly two kinds of the geometrical con guration of HSC are used in studies, i.e., rectilinear HSC [17,18] and radial HSC [19,20]. These Numerous studies reported that VF instability may be controlled through operating parameters, i.e., ow rate [21,22], viscosity ratio [23,24], surface tension [25,26], and, surface wettability [27,28]. Kozlov et al [21] adopted harmonic ow rate in the radial ow displacement process in HSC.…”

Section: Introductionmentioning

confidence: 99%

Effects of viscosity ratio and surface wettability on viscous fingering instability in rectangular channel

Singh,

Singh

et al. 2023

Int. J. Mod. Phys. C

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This paper explores the impact of viscosity ratio and surface wettability on immiscible viscous fingering instability within a rectangular channel. Numerical investigations are conducted across a range of viscosity ratios (VR) from 0.0009 to 0.5 and wall wettability ([Formula: see text]) from 15° to 150°. The volume of fluid (VOF) model is employed to track the development of finger-shaped instability at the fluid interface. Our results indicate that higher viscosity ratios lead to increased displacement efficiency. Additionally, we find the formation of necking at low VR, which diminishes at higher VR values. The finger-shaped pattern splits into two parts at a wettability of 15°; beyond this threshold, no such splitting occurs. Furthermore, a transition from hydrophilic to superhydrophobic wettability abolishes necking, resulting in enhanced displacement efficiency. Notably, as wettability shifts from hydrophilic to super hydrophobic, instability shifts toward the left side. These findings hold relevance for applications in drug delivery, clinical processes and oil recovery.

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Finger instability of oscillating liquid–liquid interface in radial Hele-Shaw cell

Cited by 22 publications

References 30 publications

Viscous Fingering Dynamics and Flow Regimes of Miscible Displacements in a Sealed Hele-Shaw Cell

Viscous Fingering Dynamics and Flow Regimes of Miscible Displacements in a Sealed Hele-Shaw Cell

Effect of Hele–Shaw cell gap on radial viscous fingering

Effects of viscosity ratio and surface wettability on viscous fingering instability in rectangular channel

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