A theoretical study of two-phase flow through a narrow gap with a moving contact line: viscous fingering in a Hele-Shaw cell

DOI10.1017/S0022112090003482zbMath0722.76085MaRDI QIDQ3210312

Steven J. Weinstein, Elizabeth B. Dussan V., Lyle H. Ungar

Publication date: 1990

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

zbMATH Keywords

thin filmsmoving contact linesHele-Shaw cellviscous fingering

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Diffusion and convection (76R99)

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Cites Work

• The motion of long bubbles in tubes
• 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 thin film variations and transverse curvature on the shape of fingers in a Hele–Shaw cell
• Stability of bubbles in a Hele–Shaw cell
• 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
• The effect of surface tension on the shape of fingers in a Hele Shaw cell