Solutal convection instability caused by dissolution

Berhanu, Michaël; Philippi, Julien; Pont, Sylvain Courrech du; Derr, Julien

doi:10.1063/5.0052305

Cited by 11 publications

(15 citation statements)

References 48 publications

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“…(2019) and Berhanu et al. (2021) suggested the following base-concentration field: under the boundary condition It should be kept in mind that, for the extreme cases of and , Philippi et al. 's (2019) and Berhanu et al.…”

Section: Governing Equations and Base Fieldsmentioning

confidence: 56%

“…'s (2019) and Berhanu et al. 's (2021) static boundary condition (2.21) can be deduced form the present boundary conditions (2.16) and (2.17). Furthermore, for the limiting case of , the above solution (2.20) is reduced to …”

Section: Governing Equations and Base Fieldsmentioning

confidence: 99%

“…(2019) and Berhanu et al. (2021) conducted nonlinear numerical simulations and a linear stability analysis of dissolution, respectively. Due to such a simplification, they could not simulate the temporal evolution of the interface position, i.e.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical and numerical studies on dissolution of horizontal salt body and pattern formation incorporated with a dynamic moving interface

Hong

Kim

2023

J. Fluid Mech.

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The dissolution of a horizontal salt body is theoretically and numerically investigated by considering the coupled dynamics of the dissolution reaction and the diffusive and convective mass transfer at the salt surface. To take into account the nature of the recessing salt surface and the dissolution-driven convection, a dynamic moving boundary condition coupled with a dissolution reaction are employed By employing a newly derived moving interface condition and parameters, a theoretical analysis predicts the onset of gravitational instability, suggesting scaling relationships between parameters to describe the onset of instability (in transport-dominant (Damkholer number $Da \to \infty $ and Rayleigh number $Ra > {10^5}$ ), onset time ${\tau _d}\sim R{a^{ - 2/3}}$ and ${\tau _d}\sim (RaDa)^{1/4}$ for reaction-dominant regimes $(Da \to 0)$ ). The scaling relationships on dissolution (the average height change, $\Delta {h_{avg}}\sim \sqrt \tau $ for the diffusion-dominant regime and $\Delta {h_{avg}}\sim R{a^{0.79/3}}{\tau ^{0.86}}$ for the convection-dominant regime) are also suggested to explain the pattern formation. Under a convective mass transfer condition, the concentration gradient of the solute developed during the recession of the salt surface results in an adverse density gradient, which causes gravitational instability motion and finally determines the formation of a dissolution pattern. In addition, two-dimensional and three-dimensional numerical simulations visualize dissolution-driven convective flow fields, the recession of the liquid-solid interface and pattern formation on the dissolving interface. Theoretical and numerical analyses of the dissolution process suggest that the control of gravitational instability is important to prevent or enhance dissolution pattern formation. This systematic parameter study provides a deep understanding of the effect of gravitational instability on convection-driven dissolution in a horizontal geometry.

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Section: Governing Equations and Base Fieldsmentioning

confidence: 56%

Section: Governing Equations and Base Fieldsmentioning

confidence: 99%

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Theoretical and numerical studies on dissolution of horizontal salt body and pattern formation incorporated with a dynamic moving interface

Hong

Kim

2023

J. Fluid Mech.

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show abstract

“…Here, the parameter is empirically determined. A more accurate determination based on the solutal Rayleigh–Benard instability analysis (e.g., Berhanu et al., 2021) needs further investigation.…”

Section: Resultsmentioning

confidence: 99%

“…Here, the parameter is empirically determined. A more accurate determination based on the solutal Rayleigh-Benard instability analysis (e.g., Berhanu et al, 2021) ) the measured locations are overestimated by the model. It may be attributed to the boundary effect.…”

mentioning

confidence: 99%