Stability of lubricated viscous gravity currents. Part 2. Global analysis and stabilisation by buoyancy forces

DOI10.1017/jfm.2019.322zbMath1419.76145OpenAlexW2947083761MaRDI QIDQ5382892

Katarzyna N. Kowal, M. Grae Worster

Publication date: 19 June 2019

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

Full work available at URL: https://doi.org/10.1017/jfm.2019.322

zbMATH Keywords

lubrication theorythin films

Mathematics Subject Classification ID

Thin fluid films (76A20) Lubrication theory (76D08) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (9)

Lubricated axisymmetric gravity currents of power-law fluids ⋮ Lubricated viscous gravity currents of power-law fluids. Part 1. Self-similar flow regimes ⋮ Lubricated viscous gravity currents of power-law fluids. Part 2. Stability analysis ⋮ Buoyancy segregation suppresses viscous fingering in horizontal displacements in a porous layer ⋮ The interaction of gravity currents in a porous layer with a finite edge ⋮ A controllable sliding law for thin-film flows over slippery fluid-saturated substrates: theory and experiments ⋮ Stability of lubricated viscous gravity currents. Part 1. Internal and frontal analyses and stabilisation by horizontal shear ⋮ Viscous banding instabilities: non-porous viscous fingering ⋮ Lubricated gravity currents of power-law fluids

Cites Work

• Self-similar gravity currents in porous media: Linear stability of the Barenblatt--Pattle solution revisited
• Modelling the suppression of viscous fingering in elastic-walled Hele-Shaw cells
• The interaction between viscous fingering and wrinkling in elastic-walled Hele-Shaw cells
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• The motion of long bubbles in tubes
• Lubricated viscous gravity currents
• Viscous fingering in shear thickening silica suspensions
• Pattern formation in non-Newtonian Hele–Shaw flow
• Eigenvalues of the Barenblatt-Pattle similarity solution in nonlinear diffusion
• Stability of miscible displacements in porous media with nonmonotonic viscosity profiles
• The primary and inverse instabilities of directional viscous fingering
• Cavitation of a viscous fluid in narrow passages
• Stability of lubricated viscous gravity currents. Part 1. Internal and frontal analyses and stabilisation by horizontal shear
• Stability of gravity currents generated by finite-volume releases

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