Lateral movements in Rayleigh–Taylor instabilities due to frontiers. Experimental study

Binda, L.; Fernández, Diego Megino; Hasi, C. El; Zalts, Anita; D’Onofrio, A.

doi:10.1063/1.4995395

Cited by 4 publications

(2 citation statements)

References 75 publications

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“…That corresponds to gaseous CO 2 absorption in a liquid medium (A → A), as it is the case of CO 2 sequestration. Figure 5 shows the concentration map comparison at the same final time simulation for the CPU and GPU versions, which is consistent with the real and numerical experiments made in [12] and [13]. The similarity between the previous and present results is remarkable.…”

Section: Case a → A: Physical Behaviorsupporting

confidence: 87%

Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Kielbowicz¹,

Fernández²,

Saal³

et al. 2023

OJFD

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The Advection-Diffusion Reaction (ADR) equation appears in many problems in nature. This constitutes a general model that is useful in various scenarios, from porous media to atmospheric processes. Particularly, it is used at the interface between two fluids where different types of instabilities due to surface mobility may appear. Together with the ADR equation, the Darcy-Brinkman model describes the phenomena known as fingering that appear in different contexts. The study of this type of system gains in complexity when the number of chemical species dissolved in both fluids increases. With more solutes, the increasing complexity of this phenomenon generally requires much computational power. To face the need for more computational resources, we build a solver tool based on an Alternating Direction Implicit (ADI) scheme that can be run in Central Processing Unit (CPU) and Graphic Processing Unit (GPU) architectures on any notebook. The implementation is done using the MATLAB platform to compare both versions. It is shown that using the GPU version strongly saves both resources and calculation times.

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Section: Case a → A: Physical Behaviorsupporting

confidence: 87%

Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Kielbowicz¹,

Fernández²,

Saal³

et al. 2023

OJFD

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show abstract

“…The main objective of this work is to achieve a better understanding of the transport of fluids in porous media formed by channels at the micro-and mesoscale. There are many works studying the effect on transport of fluids in porous media of such phenomena as local viscosity variations, 1,2 pattern formation by hydrodynamic instabilities, [3][4][5][6][7][8] chemical reactions on the contact surface of different fluids, [9][10][11][12][13][14][15][16][17] porosity variations, 18 and formation of precipitates. 19,20 Most of these studies are carried out in Hele-Shaw cells, which facilitate the observation of the phenomena in the laboratory, but leaves aside the characteristics of the porous media such as their porosity and tortuosity.…”

Section: Introductionmentioning

confidence: 99%

Capillary film and breakup mechanism in the squeezing to dripping transition regime at the mesoscale between micro and milli-fluidics

Freytes

Rosen

D’Onofrio

2018

Chaos: An Interdisciplinary Journal of Nonlinear Science

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We report a study of droplet generation in two phase flows of non-miscible fluids in a T-shaped array of circular channels, at the mesoscale between micro-and milli-fluidics. Our experiments show that the balance between the different types of forces (capillary forces, shear viscous forces, etc.) may differ significantly from that found by previous authors in smaller, microfluidics channels. The results may, therefore, be applied to practical systems in which droplets act as small chemical reactors or help enhance mixing. We suggest a possible interesting extension to the generation of drops inside porous media. We report experiments in which the length of the droplets and the residual thickness of the surrounding fluid film are systematically measured as a function of the respective flow rates of the two fluids: These results are carefully compared to theoretical models taking into account in different ways the capillary and viscous effects and to results obtained by other authors for smaller channels. Several dimensionless control variables are tested (capillary number, ratio of the flow rates of the two fluids, etc.). Capillary film thickness is shown to be a useful variable to identify the different regimes of formation. Testing of the theoretical models with the experimental data showed that the change from one formation regime to the other is accompanied by a change in the role of viscous effects. Two models of breakup mechanisms were tested: on the one hand, the pressure buildup mechanism and, on the other hand, a second mechanism corresponds to the balance of tangential shear stresses and interfacial tension. According to the formation regimes, both models have provided satisfactory predictions of the experimental results. However, at this mesoscale, the experimental data were better described by the models dependent on the capillary number, as previously reported in systems with a low degree of confinement.

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Lateral movements in Rayleigh–Taylor instabilities due to frontiers. Numerical analysis

Fernández

Binda

Zalts

et al. 2018

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Numerical simulations were performed for Rayleigh-Taylor (RT) hydrodynamic instabilities when a frontier is present. The frontier formed by the interface between two fluids prevents the free movement of the fingers created by the instability. As a consequence, transversal movements at the rear of the fingers are observed in this area. These movements produce collapse of the fingers (two or more fingers join in one finger) or oscillations in the case that there is no collapse. The transversal velocity of the fingers, the amplitude of the oscillations, and the wave number of the RT instabilities as a function of the Rayleigh number (Ra) were studied near the frontier. We verified numerically that in classical RT instabilities, without a frontier, these lateral movements do not occur; only with a physical frontier, the transversal displacements of the fingers appear. The transverse displacement velocity and the initial wave number increase with Ra. This leads to the collapse of the fingers, diminishing the wave number of the instabilities at the interface. Instead, no significant changes in the amplitude of the oscillations are observed modifying Ra. The numerical results are independent of the type or origin of the frontier (gas-liquid, liquid-liquid, or solid-liquid). The numerical results are in good agreement with the experimental results reported by Binda et al. [Chaos 28, 013107 (2018)]. Based on these results, it was possible to determine the cause of the transverse displacements, which had not been explained until now.

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Lateral movements in Rayleigh–Taylor instabilities due to frontiers. Experimental study

Cited by 4 publications

References 75 publications

Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Capillary film and breakup mechanism in the squeezing to dripping transition regime at the mesoscale between micro and milli-fluidics

Lateral movements in Rayleigh–Taylor instabilities due to frontiers. Numerical analysis

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