The steady propagation of an air finger into a rectangular tube

DOI10.1017/S0022112008003455zbMath1188.76207MaRDI QIDQ3600941

Alberto de Lozar, Anne Juel, Andrew L. Hazel

Publication date: 9 February 2009

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

zbMATH Keywords

finite-element library oomph-libMcLean-Saffman's modelthree-dimensional interfacial problem

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (6)

Tube geometry can force switchlike transitions in the behavior of propagating bubbles ⋮ The trapping and release of bubbles from a linear pore ⋮ Sensitivity of Saffman–Taylor fingers to channel-depth perturbations ⋮ Bifurcations of drops and bubbles propagating in variable-depth Hele-Shaw channels ⋮ Oscillatory bubbles induced by geometrical constraint ⋮ The instability of a moving interface in a narrow tapering channel of finite length

Uses Software

• oomph-lib

Cites Work

• Unnamed Item
• Deposition of a viscous fluid on the wall of a tube
• The motion of long bubbles in tubes
• oomph-lib – An Object-Oriented Multi-Physics Finite-Element Library
• Two-phase displacement in Hele Shaw cells: theory
• The Penetration of a Finger into a Viscous Fluid in a Channel and Tube
• Interface conditions for two-phase displacement in Hele-Shaw cells
• A method for incorporating free boundaries with surface tension in finite element fluid-flow simulators
• The effect of surface tension on the shape of fingers in a Hele Shaw cell
• The design of a new frontal code for solving sparse, unsymmetric systems
• The steady propagation of a semi-infinite bubble into a tube of elliptical or rectangular cross-section
• On the motion of bubbles in vertical tubes of arbitrary cross-sections: some complements to the Dumitrescu–Taylor problem
• The motion of long bubbles in polygonal capillaries. Part 1. Thin films
• Sedimentation of a two-dimensional drop towards a rigid horizontal plane
• MODELING SHAPES AND DYNAMICS OF CONFINED BUBBLES

This page was built for publication: The steady propagation of an air finger into a rectangular tube