Prediction of bubble velocity in a Hele–Shaw cell: Thin film and contact angle effects

DOI10.1063/1.857492zbMath0661.76106OpenAlexW1974327232MaRDI QIDQ3811964

Philip G. Saffman, Saleh Tanveer

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.857492

zbMATH Keywords

thin film

Mathematics Subject Classification ID

Lubrication theory (76D08) Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)

Related Items

The shape and motion of gas bubbles in a liquid flowing through a thin annulus ⋮ Analysis of the boundary conditions for a Hele–Shaw bubble ⋮ A theoretical study of two-phase flow through a narrow gap with a moving contact line: viscous fingering in a Hele-Shaw cell ⋮ Infinite stream of Hele–Shaw bubbles

Cites Work

• 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
• Nonlinear unstable viscous fingers in Hele–Shaw flows. II. Numerical simulation
• Two-phase displacement in Hele Shaw cells: theory
• The Penetration of a Finger into a Viscous Fluid in a Channel and Tube
• The effect of surface tension on the shape of a Hele–Shaw cell bubble
• The effect of thin film variations and transverse curvature on the shape of fingers in a Hele–Shaw cell
• Interface conditions for two-phase displacement in Hele-Shaw cells
• The effect of surface tension on the shape of fingers in a Hele Shaw cell

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