Variable-density miscible displacements in a vertical Hele-Shaw cell: linear stability

DOI10.1017/S0022112007006428zbMath1175.76059OpenAlexW2058023160MaRDI QIDQ5757184

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Publication date: 6 September 2007

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

Full work available at URL: https://doi.org/10.1017/s0022112007006428

Mathematics Subject Classification ID

Stratification effects in viscous fluids (76D50) Interfacial stability and instability in hydrodynamic stability (76E17) Other free boundary flows; Hele-Shaw flows (76D27)

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Cites Work

• Miscible displacements between silicone oils in capillary tubes.
• The threshold of the instability in miscible displacements in a Hele–Shaw cell at high rates
• Stability of miscible displacements in porous media: Rectilinear flow
• Miscible displacements in capillary tubes. Part 2. Numerical simulations
• Unstable density stratification of miscible fluids in a vertical Hele-Shaw cell: influence of variable viscosity on the linear stability
• Fingering instabilities in vertical miscible displacement flows in porous media
• Miscible displacement in a Hele-Shaw cell at high rates
• Miscible displacements in Hele-Shaw cells: two-dimensional base states and their linear stability