Geometric approach to stationary shapes in rotating Hele-Shaw flows

DOI10.1016/j.physd.2007.10.005zbMath1168.76017OpenAlexW1967055468MaRDI QIDQ926823

Eduardo S. G. Leandro, Rafael M. Oliveira, J. A. G. Miranda

Publication date: 21 May 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.10.005

zbMATH Keywords

pattern formationsurface tensionfirst-order ordinary differential equationvortex-sheet formalism

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (3)

Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell ⋮ A criterion on instability of cylindrical rotating surfaces ⋮ Equilibrium shapes of cylindrical rotating liquid drops

Uses Software

• Mathematica

Cites Work

• Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces
• Dynamics and selection of fingering patterns. Recent developments in the Saffman-Taylor problem
• Numerical experiments on Hele Shaw flow with a sharp interface
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Fingering in Hele-Shaw cells
• Viscous fingering in Hele-Shaw cells
• Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges
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