Gravity currents in the cabbeling regime

Grace, Andrew; Stastna, Marek; Lamb, Kevin G.; Scott, K. Andrea

doi:10.1103/physrevfluids.8.014502

Cited by 5 publications

(3 citation statements)

References 38 publications

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“…The equation of state is a quadratic function of temperature with its maximum located at T md and is defined in Grace et al. (2023). The setup we use is illustrated schematically in Figures 1b and 1c.…”

Section: Problem Formulation and Governing Parametersmentioning

confidence: 99%

Restratification in Late Winter Lakes Induced by Cabbeling

Grace,

Fogal,

Stastna

2023

Geophysical Research Letters

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Section: Problem Formulation and Governing Parametersmentioning

confidence: 99%

Restratification in Late Winter Lakes Induced by Cabbeling

Grace,

Fogal,

Stastna

2023

Geophysical Research Letters

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“…Upon mixing with the lake water, the influx can increase in density, plunging it to the lake's bottom, where it flows downslope. Simulations by Andrew Grace of the University of Waterloo, Canada, and his colleagues now describe how the evolution of these currents depends on the temperature contrast between the two bodies of water [1].…”

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confidence: 99%

“…When this mixing occurs because of relatively warm river water entering a cold lake-such as at Kamloops Lake-the resulting dense water sinks, warming the lake from the bottom up. This may result in a dense, Credit: A. P. Grace et al [1] warm-water mass that affects the circulation of the lake water.…”

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confidence: 99%

How Freshwater Mixes in a Winter Lake

Berkowitz¹

2023

Physics

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Onset of cabbeling instabilities in superconfined two-fluid systems

Leyrer,

Ulloa,

Ortega

et al. 2024

Physics of Fluids

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Convective-driven mixing in permeable subsurface environments is relevant in engineering and natural systems. This process occurs in groundwater remediation, oil recovery, CO2 sequestration, and hydrothermal environments. When two fluids come into contact in superconfined geometries like open fractures in rocks, complex molecular dynamics can develop at the fluid–fluid interface, creating a denser mixture and leading to cabbeling instabilities that propel solutal convection. Previous studies in superconfined systems have used models based on unstable density distributions—generating Rayleigh–Taylor instabilities—and analog fluid mixtures characterized by nonlinear equations of state—resulting in cabbeling dynamics—yet often neglecting interfacial tension effects, which is also relevant in miscible systems. This study incorporates the Korteweg tensor into the Hele–Shaw model to better understand the combined influence of geometry confinement and interfacial tension on the onset of cabbeling instabilities in two-fluid superconfined systems. Through direct numerical simulations, we investigate the system's stability, revealing that the onset, characterized by the critical time tc, exhibits a nonlinear relationship with the system's nondimensional parameters—the Rayleigh number Ra, the anisotropy ratio ϵ, and the Korteweg number Ko. This relationship is crystallized into a single scaling law tc=F(Ra,ϵ,Ko). Our findings indicate that geometry and effective interfacial tension exert a stabilizing effect during the initial stages of convection, stressing the necessity for further exploration of its influence on fluid mixing in superconfined systems.

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Gravity currents in the cabbeling regime

Cited by 5 publications

References 38 publications

Restratification in Late Winter Lakes Induced by Cabbeling

Restratification in Late Winter Lakes Induced by Cabbeling

How Freshwater Mixes in a Winter Lake

Onset of cabbeling instabilities in superconfined two-fluid systems

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