Analysis of the boundary conditions for a Hele–Shaw bubble

DOI10.1063/1.857610zbMath0703.76086OpenAlexW1988543383MaRDI QIDQ3483012

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.857610

zbMATH Keywords

boundary conditionsHele-Shaw equationsHele-Shaw bubble

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30)

Related Items (11)

Dynamics of non-wetting drops confined in a Hele-Shaw cell ⋮ Parallel flow in Hele-Shaw cells ⋮ Infinite stream of Hele–Shaw bubbles ⋮ Topography of the lubrication film under a pancake droplet travelling in a Hele-Shaw cell ⋮ A pancake droplet translating in a Hele-Shaw cell: lubrication film and flow field ⋮ The motion of long bubbles in polygonal capillaries. Part 1. Thin films ⋮ Capillary pinching in a pinched microchannel ⋮ Droplet levitation over a moving wall with a steady air film ⋮ The nonlinear dynamics of pendent drops on a thin film coating the underside of a ceiling ⋮ Motion of an oil droplet through a capillary with charged surfaces ⋮ Film thickness distribution in gravity-driven pancake-shaped droplets rising in a Hele-Shaw cell

Cites Work

• The motion of long bubbles in tubes
• Two-phase displacement in Hele Shaw cells: theory
• Interface conditions for two-phase displacement in Hele-Shaw cells
• Prediction of bubble velocity in a Hele–Shaw cell: Thin film and contact angle effects
• Bubbles in a Hele–Shaw cell: Numerical simulation of three-dimensional effects

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