Gravitational instability due to the dissolution of carbon dioxide in a Hele-Shaw cell

Vreme, A.; Nadal, François; Pouligny, B.; Jeandet, Philippe; Liger-Belair, Gérard; Meunier, Patrice

doi:10.1103/physrevfluids.1.064301

Cited by 29 publications

(43 citation statements)

References 36 publications

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“…In these cases, the Hele-Shaw condition applies. Such test cases are of interest when studying particle manipulation in a microfluidic chip (Shenoy et al 2016;Akbaridoust et al 2018), density-driven flows (Green and Foster 1975;Sebestikova et al 2007;Almarcha et al 2010;Ehyaei and Kiger 2014;Vreme et al 2016), flow behavior of power-law fluids (Drost and Westerweel 2013), magnetic field-driven instabilities (Erglis et al 2013), Marangoni effects (Kim et al 2015;Hou and Chu Hong 2015) and flow around a cell (Wereley and Meinhart 2001;Rossi et al 2009). In practice, for micro-PIV measurements with a large field of view, the DOC is also large (Kloosterman et al 2011).…”

Section: Introductionmentioning

confidence: 99%

Psi-PIV: a novel framework to study unsteady microfluidic flow

et al. 2020

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In microscopic particle image velocimetry (micro-PIV), correlation averaging over multiple frames is often required, leading to a loss in temporal resolution, therefore limiting the measurement accuracy for unsteady flows. Here, we present a new PIV method suitable to study steady and unsteady laminar flows between parallel plates (i.e., Hele-Shaw flow), which is a common flow configuration in microfluidic applications. Our method reduces the effective seeding density and yields similar if not higher signal-to-noise ratio (SNR) compared to conventional micro-PIV. We call this algorithm Ψ-PIV. Ψ-PIV requires a much smaller number of frames to reach the same SNR compared to the widely used correlation averaging method. This leads to a significant improvement of the temporal resolution. The Ψ-PIV algorithm is used in an experimental investigation of steady and unsteady flows in a Hele-Shaw cell. Our experiment shows that Ψ-PIV reduces the number of required frames by 8 times and 30 times compared to the frames required by conventional PIV for steady and unsteady laminar flow, respectively. In this study, PIV and Ψ-PIV use a single-pass cross-correlation to present the underlying difference between the two approaches.

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Section: Introductionmentioning

confidence: 99%

Psi-PIV: a novel framework to study unsteady microfluidic flow

et al. 2020

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“…This temperature increase is larger for faster pressurizations. Although this effect could not be neglected for the study of the initial set-up of the plume (Vreme et al, 2016), we made sure by varying the duration of the initial pressure transient that it had no effect on the characteristics of either the stationary or the unstable regimes. A fourth pipe connected to the top of the pressure cell permits to purge the system (purge in figure 1b).…”

Section: Methodsmentioning

confidence: 99%

From a steady plume to periodic puffs during confined carbon dioxide dissolution

Meunier

Nadal

2018

J. Fluid Mech.

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In this paper, the stability of a laminar plume due to solutal convection is addressed from experimental, numerical and theoretical points of view. A topless vertical tube containing water is put in a pressure cell filled with carbon dioxide ( $\text{CO}_{2}$ ). The diffusion of $\text{CO}_{2}$ at the free surface creates a thin layer of heavy fluid underneath the surface. This unstable density gradient generates a steady laminar plume which goes downward through the entire tube. A quasi-steady flow settles in the tube, filling gradually the bottom of the tube with heavy fluid. During this laminar regime, the velocity of the plume slowly decreases due to the build-up of the background density gradient. Surprisingly, despite the decrease of the Reynolds number, the laminar plume suddenly destabilises via a varicose mode into periodic pulsed puffs after an onset time which depends on the height of the tube and on the solutal Rayleigh number $Ra$ . This periodic regime is followed by an aperiodic regime, which lasts until the complete saturation of the solution. The observed destabilisation is explained as a result of the interplay between the feedback of the global recirculating flow and the progressive density stratification of the background fluid. The wavelength, frequency, onset time and phase velocity of the instability are explored using particle image velocimetry (PIV) measurements over two decades of Rayleigh number. The characteristics of the instability appear to be almost independent of the Bond number but strongly dependent on the solutal Rayleigh number and the aspect ratio. The phase velocity is very close to the fluid velocity of the plume before the instability, which has been predicted in various works to scale as $Ra^{2/3}(\ln \,Ra)^{1/3}$ . The wavelength is close to 4.5 times the radius of the cylinder (independent of aspect ratio, Bond number and Rayleigh number) such that the frequency scales as the phase velocity. The onset time, which is proportional to the height of the cylinder, scales as $Ra^{-0.55}$ and depends on the Bond number. A simplified model inspired from Lorenz’ waterwheel is proposed to explain the destabilisation process after partial fill-up of the cylinder. Although very qualitative, the model captures the key features of the experimental observations.

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“…Faisal et al 19 used a catalytic combustion-based total carbon analyzer to determine CO 2 mass transfer in a Hele-Shaw cell (3277.88 < Ra < 36,420.87) at atmospheric pressure. Vreme et al 34 studied the gravitational instability triggered by CO 2 dissolution through a water–gas interface with a Hele-Shaw experiment. Lu et al 35 invented a Hele-Shaw cell that can perform under a high gas pressure of 10 MPa, and experimental results only in the atmosphere pressure were exhibited.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study on the Density-Driven Carbon Dioxide Convective Diffusion in Formation Water at Reservoir Conditions

Tang

Wang

et al. 2019

ACS Omega

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Density-driven convection, which can accelerate the dissolution rate of carbon dioxide (CO 2 ) in resident brine, is critical for the long-term fate of the injected CO 2 permanence and security of CO 2 geological storage. Visualization experiments and pressure–volume–temperature (PVT) testing were conducted to investigate the influence from gravitational convection. For investigate gravitational instabilities and convective diffusion, we designed a Hele-Shaw cell rated to 70 MPa and Rayleigh number of 346 to conduct visualization experiments with the micro-schlieren technique. The average diffusion coefficient and time-dependent values were measured in the PVT experiments. We also calculated the convection parameters, including Rayleigh number and critical onset time, with a series of PVT testing at the temperature ranging 293.15–423.15 K and pressure ranging 14–24 MPa by using the constant-pressure method. Through visualization experiments, we observed convective currents triggered by the density gradient in the gas–liquid interface, which noticeably enhanced the CO 2 dissolution rate. The PVT testing confirmed that the diffusion coefficient increased sharply under the influence of the gravitational convection at the early stage and then decreased toward the average diffusion coefficient with time. The PVT testing also demonstrated the Rayleigh number increasing with temperature or pressure increasing under the reservoir conditions. The gravitational convection will be more likely to occur and more rapid with a greater pressure or higher temperature.

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Gravitational instability due to the dissolution of carbon dioxide in a Hele-Shaw cell

Cited by 29 publications

References 36 publications

Psi-PIV: a novel framework to study unsteady microfluidic flow

Psi-PIV: a novel framework to study unsteady microfluidic flow

From a steady plume to periodic puffs during confined carbon dioxide dissolution

Experimental Study on the Density-Driven Carbon Dioxide Convective Diffusion in Formation Water at Reservoir Conditions

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