Dissolution Dynamics of Liquid/Liquid Binary Mixtures Within a Micromodel

Stevar, Mihaela S.P.; Vorobev, Anatoliy

doi:10.1007/s11242-013-0223-1

Cited by 9 publications

(6 citation statements)

References 48 publications

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“…A pore-level model is usually based on the network approach when the porous matrix is represented as a network of interconnected capillaries, that, for a more general representation, may be taken with different (random) diameters. 1,2 Hence, for understanding of a multiphase flow in a porous medium, the initial task is reduced to the accurate description of a multiphase flow within a single capillary, which is undertaken in the current work. a) Electronic mail: A.Vorobev@soton.ac.uk…”

Section: Introductionmentioning

confidence: 99%

Phase-field modeling of an immiscible liquid-liquid displacement in a capillary

2019

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We develop a numerical model for a two-phase flow of a pair of immiscible liquids within a capillary tube. We assume that a capillary is initially saturated with one liquid and the other liquid is injected via one of the capillary's ends. The governing equations are solved in the velocity-pressure formulation, so the pressure levels are imposed at the capillary inlet and outlet ends. We model the structure of the flow and the shape of the liquid/liquid interface. We are able to reproduce the flow for a wide range of capillary numbers, when the meniscus preserves its shape moving together with the flow, and when the meniscus constantly stretches resembling the transport of a passive impurity. We demonstrate that the phase-field approach is capable of reproducing all features of the liquid/liquid displacement, including the motion of a contact line, the dynamic changes of the capillary pressure, and the dynamic changes of the apparent contact angle.

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Section: Introductionmentioning

confidence: 99%

Phase-field modeling of an immiscible liquid-liquid displacement in a capillary

2019

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“…However, studies on a miscible liquid−liquid interface are indispensable to elucidate the initial reaction processes of the chemical reaction triggered by mixing two miscible solutions, because most reaction processes are performed by mixing two miscible solutions. So far, the dissolution dynamics of miscible liquids has been investigated in a capillary 13 or on a plate with reticulated channels, 14 which have suggested the importance of barodiffusion for the dissolution of the two solutions.…”

Section: Introductionmentioning

confidence: 99%

Initial Collision Process of Two Miscible Droplets

Anahara

Kohno

2017

J. Phys. Chem. B

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Dynamic properties of the metastable interface between two miscible solutions are investigated by the collision of two droplets. A clear interface is observed between the two colliding droplets. The interface moves in the colliding droplet toward the side where the original droplet has a lower surface tension. The interface is set to the middle of the colliding droplet by controlling the surface tension of the droplets to observe the chemical reactions at the droplet interface by cavity-enhanced Raman spectroscopy. This study provides a foundation for further research on the initial process of the chemical reactions of two miscible solutions.

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“…Despite the fundamental importance of the liquid-liquid diffusion and of its seeming simplicity, its understanding is still missing [16,17]. It is known that diffusion in liquid-liquid binary mixtures differs from diffusion in gaseous mixtures (where intermolecular forces are negligible), or from diffusion of a minor impurity dissolved in a liquid solvent.…”

Section: Introductionmentioning

confidence: 99%

Linear stability analysis of a horizontal phase boundary separating two miscible liquids

Kheniene

Vorobev

2013

Phys. Rev. E

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The evolution of small disturbances to a horizontal interface separating two miscible liquids is examined. The aim is to investigate how the interfacial mass transfer affects development of the Rayleigh-Taylor instability and propagation and damping of the gravity-capillary waves. The phase-field approach is employed to model the evolution of a miscible multiphase system. Within this approach, the interface is represented as a transitional layer of small but nonzero thickness. The thermodynamics is defined by the Landau free energy function. Initially, the liquid-liquid binary system is assumed to be out of its thermodynamic equilibrium, and hence, the system undergoes a slow transition to its thermodynamic equilibrium. The linear stability of such a slowly diffusing interface with respect to normal hydro-and thermodynamic perturbations is numerically studied. As a result, we show that the eigenvalue spectra for a sharp immiscible interface can be successfully reproduced for long-wave disturbances, with wavelengths exceeding the interface thickness. We also find that thin interfaces are thermodynamically stable, while thicker interfaces, with the thicknesses exceeding an equilibrium value, are thermodynamically unstable. The thermodynamic instability can make the configuration with a heavier liquid lying underneath unstable. We also find that the interfacial mass transfer introduces additional dissipation, reducing the growth rate of the Rayleigh-Taylor instability and increasing the dissipation of the gravity waves. Moreover, mutual action of diffusive and viscous effects completely suppresses development of the modes with shorter wavelengths.

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Dissolution Dynamics of Liquid/Liquid Binary Mixtures Within a Micromodel

Cited by 9 publications

References 48 publications

Phase-field modeling of an immiscible liquid-liquid displacement in a capillary

Phase-field modeling of an immiscible liquid-liquid displacement in a capillary

Initial Collision Process of Two Miscible Droplets

Linear stability analysis of a horizontal phase boundary separating two miscible liquids

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