Onset of Convection in the Presence of a Precipitation Reaction in a Porous Medium: A Comparison of Linear Stability and Numerical Approaches

Ghoshal, Parama; Kim, Min Chan; Cardoso, Silvana S. S.

doi:10.3390/fluids3010001

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…While simple reactions consuming A out of the solution stabilize convection (Ghesmat et al (2011), Andres & Cardoso (2011, Cardoso & Andres (2014), Ward et al 2014, Kim & Choi (2014), Kim & Kim (2015), Ghoshal et al (2018)), various theoretical works have shown that A+B→C reactions can accelerate or decelerate the convective dynamics with respect to the nonreactive case and that the steady-state dissolution flux of species A varies with the difference ∆RCB (Loodts et al (2014(Loodts et al ( , 2015(Loodts et al ( , 2017(Loodts et al ( , 2018, Jotkar et al (2019), Ghoshal et al (2017).) For equal diffusion coefficients, if ∆RCB > 0, the density profiles are monotonic.…”

Section: Influence Of a + B → C Reactions On Convective Dissolutionmentioning

confidence: 99%

Chemo-Hydrodynamic Patterns and Instabilities

Wit

2020

Annu. Rev. Fluid Mech.

104

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By modifying a physical property of a solution like its density or viscosity, chemical reactions can modify and even trigger convective flows. These flows in turn affect the spatiotemporal distribution of the chemical species. A nontrivial coupling between reactions and flows then occurs. We present simple model systems of this chemo-hydrodynamic coupling. In particular, we illustrate the possibility of chemical reactions controlling or triggering viscous fingering, Rayleigh–Taylor, double-diffusive, and convective dissolution instabilities. We discuss laboratory experiments performed to study these phenomena and compare the experimental results to theoretical predictions. In each case we contrast the chemo-hydrodynamic patterns and instabilities with those that develop in nonreactive systems and unify the different dynamics in terms of the common features of the related spatial mobility profiles.

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Section: Influence Of a + B → C Reactions On Convective Dissolutionmentioning

confidence: 99%

Chemo-Hydrodynamic Patterns and Instabilities

Wit

2020

Annu. Rev. Fluid Mech.

104

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“…By the Oberbeck–Boussinesq approximation, density changes in the system have been neglected except for the buoyancy term Δ ρgh . 77–86…”

Section: Resultsmentioning

confidence: 99%

Downward fingering accompanies upward tube growth in a chemical garden grown in a vertical confined geometry

Ding

Gutiérrez-Ariza

Zheng

et al. 2022

Phys. Chem. Chem. Phys.

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Reactive convective-dissolution in a porous medium: stability and nonlinear dynamics

Ghoshal

Cardoso

2018

Phys. Chem. Chem. Phys.

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We investigate the effects of a dissolution reaction, A(aq) + B(s) → C(aq), on the gravitational instability and nonlinear dynamic behaviour of a diffusive boundary layer in a porous medium. Our linear stability and numerical results reveal that, unexpectedly, even when the density contribution of the soluble product C is smaller than that of the dissolved solute A, the chemical reaction can destabilize the layer and accelerate the onset of convection. However, for a very light product, the reaction stabilizes the layer. We show that these widely disparate characteristics of the reactive-diffusive layer are outcomes of the nonlinear competition between two reaction effects, the destabilizing sharpening of the solute concentration gradient and associated increase in the solute diffusive flux, and the stabilizing replacement of the solute by a less dense product near the interface.

show abstract

Onset of Convection in the Presence of a Precipitation Reaction in a Porous Medium: A Comparison of Linear Stability and Numerical Approaches

Cited by 3 publications

References 16 publications

Chemo-Hydrodynamic Patterns and Instabilities

Chemo-Hydrodynamic Patterns and Instabilities

Downward fingering accompanies upward tube growth in a chemical garden grown in a vertical confined geometry

Reactive convective-dissolution in a porous medium: stability and nonlinear dynamics

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