Gravitational fingering and droplet formation during the phase separation of a partially miscible binary mixture in a vertical Hele-Shaw cell

Hong, Joung Sook; Kim, Min Chan

doi:10.1016/j.ijheatmasstransfer.2022.123665

Cited by 4 publications

(1 citation statement)

References 41 publications

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“…An example of the interfacial hydrodynamics considered is the Saffman-Taylor instability 5 due to viscosity contrast, or the Rayleigh-Taylor instability 6,7 due to density difference. Numerical simulations by Hong and Kim 8 showed that a gravitational fingering due to Rayleigh-Taylor instability with interfacial phase separation results in droplets with vertical Hele-Shaw cells. In this paper, we focus on the Saffman-Taylor instability.…”

Section: Introductionmentioning

confidence: 99%

Experimental demonstration of the suppression of viscous fingering in a partially miscible system

Iwasaki

Nagatsu

Ban

et al. 2023

Phys. Chem. Chem. Phys.

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Section: Introductionmentioning

confidence: 99%

Experimental demonstration of the suppression of viscous fingering in a partially miscible system

Iwasaki

Nagatsu

Ban

et al. 2023

Phys. Chem. Chem. Phys.

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Pattern rupture and channeling effect by alternating radial displacement

Chou

Huang

Chen

2023

International Journal of Heat and Mass Transfer

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Evaporation-driven gravitational instability in the liquid layer of a polymer solution: Theoretical and numerical studies

Fuller

2023

Physics of Fluids

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The drying of the thin liquid film of polymer solution is a complex process accompanying instabilities induced by concentration gradients that develop during the evaporation. This study investigates evaporation-driven gravitational instabilities (Rayleigh–Taylor instability) in the thin liquid film of a polymer solution based on theoretical and numerical analyses, specifically focusing on the onset of instability at the early stage of the drying process. Evaporation-driven convection is taken into account by employing a dynamic moving boundary condition and concentration-dependent material functions (dynamic viscosity and diffusivity). A theoretical analysis predicts the onset of gravitational instability (τc), showing good agreement with the results of a numerical simulation analysis (τd), suggesting scaling relationships between the onset of instability and the initial concentration (Ci), τc∼Ci−1/2, for a slow evaporation rate and dilute concentration range, which rapidly increases with an increase in the concentration due to an instability-retardation effect. A nonlinear two-dimensional numerical simulation visualizes the development of a polymer-dense layer, pluming, and a convection–diffusion flow throughout the liquid film under transient evaporation. The concentration-gradient-driven convection–diffusion flow enhances the gravitational instability and pluming further at higher frequencies. Meanwhile, for a polymer solution with high viscosity, viscosity thickening delays the onset of instability, retarding the development of instability. This study provides a fundamental understanding of the mechanism behind how convective instability develops in a drying polymer solution during evaporation and information on how to develop pluming of a polymer-dense skin layer at early stages of drying of a polymer solution film. The findings suggest that the proper control of hydrodynamic instability induced by a concentration gradient in a thin polymer solution film is important to prevent or enhance the formation of a convection pattern in the thin polymer film.

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Gravitational fingering and droplet formation during the phase separation of a partially miscible binary mixture in a vertical Hele-Shaw cell

Cited by 4 publications

References 41 publications

Experimental demonstration of the suppression of viscous fingering in a partially miscible system

Experimental demonstration of the suppression of viscous fingering in a partially miscible system

Pattern rupture and channeling effect by alternating radial displacement

Evaporation-driven gravitational instability in the liquid layer of a polymer solution: Theoretical and numerical studies

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