Instability of co-flow in a Hele-Shaw cell with cross-flow varying thickness

DOI10.1017/jfm.2021.731zbMath1487.76039OpenAlexW3201084476MaRDI QIDQ5155021

John C. Grenfell-Shaw, Edward M. Hinton, Andrew W. Woods

Publication date: 5 October 2021

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

Full work available at URL: https://doi.org/10.1017/jfm.2021.731

zbMATH Keywords

dispersion relationHele-Shaw flowfingering instabilityinterfacial surface tensiondensity difference influence

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (1)

Upscaling unsaturated flows in vertically heterogeneous porous layers

Cites Work

• Modelling the suppression of viscous fingering in elastic-walled Hele-Shaw cells
• Topographic viscous fingering: fluid–fluid displacement in a channel of non-uniform gap width
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Two-phase displacement in Hele Shaw cells: theory
• Parallel flow in Hele-Shaw cells
• Flow in an open channel capillary
• The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number
• Upscaling multiphase viscous-to-capillary transitions in heterogeneous porous media
• Immiscible capillary flows in non-uniform channels
• The instability of a moving interface in a narrow tapering channel of finite length
• Instability due to viscosity stratification

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