Infinite stream of Hele–Shaw bubbles

DOI10.1063/1.858146zbMath0722.76086OpenAlexW2060578057MaRDI QIDQ3210313

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Publication date: 1991

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

Full work available at URL: https://doi.org/10.1063/1.858146

zbMATH Keywords

surface tensionHele-Shaw cellExact solutionsbranch of solutionsMcLean-Saffman finger solutionsteady stream of bubbles

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30)

Related Items (4)

Inclusion shaping and extremal property of the Taylor-Saffman bubble ⋮ Rotation invariance for steady Hele–Shaw flows ⋮ Multiple steady bubbles in a Hele-Shaw cell ⋮ Multiple bubbles and fingers in a Hele-Shaw channel: complete set of steady solutions

Cites Work

• Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. II: Stability
• Analytic theory for the determination of velocity and stability of bubbles in a Hele-Shaw cell. I: Velocity selection
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM
• The motion of long bubbles in tubes
• Analysis of the boundary conditions for a Hele–Shaw bubble
• Two-phase displacement in Hele Shaw cells: theory
• The effect of surface tension on the shape of a Hele–Shaw cell bubble
• Interface conditions for two-phase displacement in Hele-Shaw cells
• A model of bubble dynamics in a Hele–Shaw cell
• Prediction of bubble velocity in a Hele–Shaw cell: Thin film and contact angle effects
• The effect of surface tension on the shape of fingers in a Hele Shaw cell

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