Buoyancy-driven instabilities of miscible two-layer stratifications in porous media and Hele-Shaw cells

DOI10.1017/S0022112010005008zbMath1225.76127OpenAlexW2076748651MaRDI QIDQ3097730

Anne De Wit, Christophe Almarcha, Philip M. J. Trevelyan

Publication date: 10 November 2011

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112010005008

zbMATH Keywords

convection in porous mediadouble diffusive convectionbuoyancy-driven instability

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Interfacial stability and instability in hydrodynamic stability (76E17) Convection in hydrodynamic stability (76E06) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (16)

An extended Boussinesq theory for interfacial fluid mechanics ⋮ Theoretical analysis on the onset of buoyancy-driven instability of horizontal interfaces between miscible fluids in a Hele-Shaw cell ⋮ Rayleigh-Taylor instabilities in miscible fluids with initially piecewise linear density profiles ⋮ Linear stability analysis on the onset of the Rayleigh-Taylor instability of a miscible slice in a porous medium ⋮ Viscous fingering in a radial elastic-walled Hele-Shaw cell ⋮ On the instability of buoyancy-driven flows in porous media ⋮ Axisymmetric plumes due to fluid injection through a small source in a wet porous medium ⋮ Numerical simulation of the Rayleigh-Taylor instability of a miscible slice in a porous medium ⋮ Application of Wiedeburg linearization for solving the stability problem of a two-layer mixture with concentration-dependent diffusion ⋮ Onset conditions for a Rayleigh-Taylor instability with step function density profiles ⋮ The eruptive regime of mass-transfer-driven Rayleigh–Marangoni convection ⋮ Extended classification of the buoyancy-driven flows induced by a neutralization reaction in miscible fluids. Part 1. Experimental study ⋮ Extended classification of the buoyancy-driven flows induced by a neutralization reaction in miscible fluids. Part 2. Theoretical study ⋮ Rayleigh-Taylor instability of classical diffusive density profiles for miscible fluids in porous media: a linear stability analysis ⋮ Fluid injection through a line source into a wet porous medium ⋮ Scalings of the mixing velocity for buoyancy-driven instabilities in porous media

Cites Work

• The linear stability of double-diffusive miscible rectilinear displacements in a Hele-Shaw cell
• Double-diffusive instabilities of autocatalytic chemical fronts
• Fingering instabilities of exothermic reaction-diffusion fronts in porous media
• Viscous fingering of miscible slices
• Gravitational instability of miscible fluids in a Hele-Shaw cell
• Stability of miscible displacements in porous media: Rectilinear flow
• Buoyancy Effects in Fluids
• Double-diffusive convection
• The coupling of waves and convection
• Density-driven unstable flows of miscible fluids in a Hele-Shaw cell
• Double-diffusive finger convection: influence of concentration at fixed buoyancy ratio
• Fingering instabilities in vertical miscible displacement flows in porous media
• Convection in Porous Media

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