Interfacial wave theory for oscillatory finger formation in a Hele–Shaw cell: a comparison with experiments

DOI10.1017/S095679250000228XzbMath0863.76023OpenAlexW2090222303MaRDI QIDQ4880205

Jian-Jun Xu

Publication date: 4 June 1996

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s095679250000228x

zbMATH Keywords

nose bubbleSaffman-Taylor flow

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99)

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Cites Work

• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Asymptotics beyond All Orders in a Model of Crystal Growth
• Nonlinear unstable viscous fingers in Hele–Shaw flows. II. Numerical simulation
• A boundary-integral method for two-phase displacement in Hele-Shaw cells
• Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
• The effect of surface tension on the shape of fingers in a Hele Shaw cell

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