Stability results for multi-layer radial Hele-Shaw and porous media flows

DOI10.1063/1.4904983zbMath1326.76097OpenAlexW1984322256WikidataQ60106574 ScholiaQ60106574MaRDI QIDQ3456899

Craig Gin, Prabir K. Daripa

Publication date: 10 December 2015

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/378f570432a2259614c46c89722133a2685c7da6

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items (7)

Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell ⋮ A kernel-free boundary integral method for elliptic PDEs on a doubly connected domain ⋮ Spreading or contraction of viscous drops between plates: single, multiple or annular drops ⋮ Simultaneous flow of \(n\)-immiscible fractional Maxwell fluids with generalized thermal flux and Robin boundary conditions ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ On the selection of viscosity to suppress the Saffman–Taylor instability in a radially spreading annulus ⋮ Control of viscous instability by variation of injection rate in a fluid with time-dependent rheology

Cites Work

• Radial fingering in a Hele-Shaw cell: A weakly nonlinear analysis
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Viscous fingering in Hele-Shaw cells
• The formation of drops through viscous instability
• Universal Stability Properties for Multilayer Hele-Shaw Flows and Application to Instability Control
• Hydrodynamic stability of multi-layer Hele-Shaw flows
• Studies on stability in three-layer Hele-Shaw flows

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