Linear stability analysis on the onset of the Rayleigh-Taylor instability of a miscible slice in a porous medium

DOI10.1007/s10665-014-9722-5zbMath1374.76218OpenAlexW2064074654MaRDI QIDQ1678676

Min Chan Kim

Publication date: 20 November 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-014-9722-5

zbMATH Keywords

linear stability analysisRayleigh-Taylor instabilityspectral analysisquasi-steady-state approximationmiscible slice

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (3)

Rayleigh-Taylor instabilities in miscible fluids with initially piecewise linear density profiles ⋮ Numerical simulation of the Rayleigh-Taylor instability of a miscible slice in a porous medium ⋮ Rayleigh-Taylor instability of classical diffusive density profiles for miscible fluids in porous media: a linear stability analysis

Cites Work

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• The stability of an interface between miscible fluids in a porous medium
• Linear stability analysis of Korteweg stresses effect on miscible viscous fingering in porous media
• Buoyancy-driven instabilities of miscible two-layer stratifications in porous media and Hele-Shaw cells
• Viscous fingering of miscible slices
• Stability of miscible displacements in porous media: Rectilinear flow
• The instability of thermal and fluid fronts during radial injection in a porous medium
• Fingering instabilities in vertical miscible displacement flows in porous media
• A spectral theory for small-amplitude miscible fingering

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