Reaction induced interfacial instability of miscible fluids in a channel

Maharana, Surya Narayan; Mishra, Manoranjan

doi:10.1017/jfm.2021.630

Cited by 5 publications

(9 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To maintain the consistency with the LSA, in our DNS calculations, the previously described base-state concentrations are perturbed at y = h (the location of initial stratification) with a sinusoidal wave having amplitude 10 −3 (Selvam et al 2007;Sahu & Govindarajan 2016) and wavelength λ = 2π/α = 1. The detailed algorithm and the grid independence test can be found in Sahu & Govindarajan (2016) and Maharana & Mishra (2021, 2022. For simplicity, in this paper, we fix h = 0.3, δ(Da, Pe) = 0.03 and Re = 1000 for the comparison of the LSA and DNS results that are consistent with the experimental work of D'olce et al (2009).…”

Section: Linear Stability Problemmentioning

confidence: 73%

“…2007; Sahu & Govindarajan 2016) and wavelength . The detailed algorithm and the grid independence test can be found in Sahu & Govindarajan (2016) and Maharana & Mishra (2021, 2022). For simplicity, in this paper, we fix , and for the comparison of the LSA and DNS results that are consistent with the experimental work of D'olce et al.…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Reaction-induced Kelvin–Helmholtz instability in a layered channel flow

Maharana

Sahu²,

Mishra³

2023

J. Fluid Mech.

Self Cite

View full text Add to dashboard Cite

We show that a vertical viscosity stratification at a localized region caused by a chemical reaction yields an inconspicuous shear layer. A chemo-hydrodynamic Kelvin–Helmholtz instability or cat-eye-shaped morphology develops at one reaction front, while the other front diffuses steadily over time. Through linear stability and nonlinear simulations, the existence of such instabilities is established if the log-mobility ratio exceeds a critical value. We find unique scalings between the stable and unstable zones that demonstrate how the influence of variations in solute diffusion on instability can be eliminated. The observed unstable patterns agree with existing experimental results.

show abstract

Section: Linear Stability Problemmentioning

confidence: 73%

Section: Mathematical Formulationmentioning

confidence: 99%

Reaction-induced Kelvin–Helmholtz instability in a layered channel flow

Maharana

Sahu²,

Mishra³

2023

J. Fluid Mech.

Self Cite

View full text Add to dashboard Cite

show abstract

Section: (B) Non-dimensionalizationmentioning

confidence: 99%

“…Thus, Q/H and ρQ2/H2 represent the velocity and pressure scales, respectively. The concentrations of the reactants and product are non-dimensionalized by a reference concentration Γ0 [35] false(x,yfalse)=Hfalse(x~,y~false),1emt=H2Qt~,1emfalse(u,vfalse)=QHfalse(u~,v~false),p=ρQ2H2p~,1emμ=μ~μ11emand1emfalse(a~,b~,c~false)=false(a,b,cfalse)Γ0...…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…However, it was mentioned that, despite such richness of theoretical developments related to A+Bfalse→C reaction, stability analysis remains unaccomplished in the Naiver–Stokes flow regime. Recently, it has been found through nonlinear simulations that shear instability of the Kelvin–Helmholtz (K-H) type can be triggered by A+Bfalse→C reaction, even in the case of two iso-viscous reactants A and B flowing in a channel [35,36]. For the negative log-mobility ratio case, the authors showed that the number of K-H roll-ups is always higher compared to the case of a positive log-mobility ratio with the same magnitude.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stability of a layered reactive channel flow

2023

Self Cite

View full text Add to dashboard Cite

We analyse the linear stability of a reactive plane Poiseuille flow, where a reactant fluid A overlies another reactant B in a layered fashion within a two-dimensional channel. Both reactants are miscible and have the same viscosity, while upon reaction, they produce either a less or more-viscous product fluid C . The reaction kinetics is of simple A + B → C type, and the production of C occurs across the initial contact line of reactants A and B in a mixed zone of small and finite width. All three fluids have the same density. We demonstrate the effects of various controlling parameters such as the log-mobility ratio, Damköhler number, Schmidt number, Reynolds number, position and thicknesses of the reactive zone on the stability characteristics. We show that a tiny viscosity stratification by the reaction destabilizes the flow at a moderate (10–1000) and even at low Reynolds numbers (0.01–1). The maximum growth occurs for shorter waves than for the Tollmien–Schlichting eigenmode, and the ranges of unstable wavenumbers are wider than that known for non-reactive channel flow systems. In most cases, the instability occurs due to the overlap of the critical layer with the viscosity-stratified layer. Surprisingly for some parameters, it is observed that the reaction can make σ M decrease with increasing Reynolds number.

show abstract

Wettability Alteration and Enhanced Oil Recovery in Carbonate Porous Media by Tuning Waterflood Chemistry

Bribiesca Rodriguez,

Shaffer

2024

Energy Fuels

View full text Add to dashboard Cite

Waterflooding for enhanced oil recovery (EOR) is described by a multiphase system consisting of oil, the hosting rock reservoir matrix, and an invading fluid (IF) that is injected into the reservoir to displace the residual oil. Wettability is one of the unique physicochemical properties of this multiphase system that is known to influence oil displacement by the IF and affect oil recovery. Tuning IF chemistry, such as through low salinity waterflooding, has been shown to alter the wettability of the reservoir media for increased oil recovery. For carbonate rock reservoirs, specifically, reports of wettability alteration with changes in IF chemistry have been inconsistent, and the role of divalent potential-determining ions in altering carbonate reservoir wettability is debated. The lack of understanding of how IF chemistry alters wettability in carbonate reservoirs limits field-scale predictions of EOR effectiveness. This research systematically evaluated the interactions of different IF compositions with model oil-wet carbonate media and correlated these interactions to fluid displacement patterns observed during waterflooding of carbonate granular media in a Hele-Shaw cell. Fluid displacement stability was quantified by the fractal dimension of the displaced fluid area, which was compared across time and length scales using the effective capillary number. Results show that dissolved calcium ions specifically interact with oil-wet carbonate surfaces to reduce the magnitude of the negative surface charge and alter wettability, resulting in more stable fluid displacement patterns during waterflooding. The findings improve fundamental understanding of wettability alteration and have implications for the design of IFs for EOR in carbonate reservoirs.

show abstract

Reaction induced interfacial instability of miscible fluids in a channel

Abstract: Abstract

Cited by 5 publications

References 27 publications

Reaction-induced Kelvin–Helmholtz instability in a layered channel flow

Reaction-induced Kelvin–Helmholtz instability in a layered channel flow

Stability of a layered reactive channel flow

Wettability Alteration and Enhanced Oil Recovery in Carbonate Porous Media by Tuning Waterflood Chemistry

Contact Info

Product

Resources

About