The steady propagation of a bubble in a flexible-walled channel: Asymptotic and computational models

DOI10.1063/1.1432694zbMath1184.76251OpenAlexW1966436273MaRDI QIDQ3555844

M. K. Horsburgh, Donald P. III Gaver, David Halpern, Oliver E. Jensen

Publication date: 22 April 2010

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

Full work available at URL: https://semanticscholar.org/paper/9c913eb363103f16663c6198a84a37c9d362048c

zbMATH Keywords

two-phase flowchannel flowpipe flowbubblesflow simulationnumerical analysislungboundary-elements methodspneumodynamics

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (17)

Flow in a multi-branching vessel with compliant walls ⋮ The influence of surfactant on the propagation of a semi-infinite bubble through a liquid-filled compliant channel ⋮ Lagrangian transport properties of pulmonary interfacial flows ⋮ The influence of gravity on the steady propagation of a semi-infinite bubble into a flexible channel ⋮ Liquid plug propagation in flexible microchannels: A small airway model ⋮ A model for the screen-printing of Newtonian fluids ⋮ Viscous fingering in a radial elastic-walled Hele-Shaw cell ⋮ Reopening modes of a collapsed elasto-rigid channel ⋮ Viscous-fingering mechanisms under a peeling elastic sheet ⋮ Bubble transitions in strongly collapsed elastic tubes ⋮ The effect of gravity on liquid plug propagation in a two-dimensional channel ⋮ A semi-infinite bubble advancing into a planar tapered channel ⋮ Viscous control of shallow elastic fracture: peeling without precursors ⋮ On the dynamics of a thin viscous film spreading between a permeable horizontal plate and an elastic sheet ⋮ Modelling the suppression of viscous fingering in elastic-walled Hele-Shaw cells ⋮ The elastic Landau–Levich problem ⋮ Viscous flow beneath a viscous or plastic skin

Cites Work

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• A semi-infinite bubble advancing into a planar tapered channel
• Two-phase displacement in Hele Shaw cells: theory
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• Self-similar solutions for elastohydrodynamic cavity flow
• Interface conditions for two-phase displacement in Hele-Shaw cells
• Boundary conditions at a liquid/air interface in lubrication flows
• Peeling, Slipping and Cracking—Some One-Dimensional Free-Boundary Problems in Mechanics
• Marangoni effects of trace impurities on the motion of long gas bubbles in capillaries
• Minimal liquid bridges in non-axisymmetrically buckled elastic tubes
• The steady motion of a semi-infinite bubble through a flexible-walled channel
• Finite Reynolds number effects in the propagation of an air finger into a liquid-filled flexible-walled channel
• Marangoni effects of adsorption—desorption controlled surfactants on the leading end of an infinitely long bubble in a capillary
• Cavitation of a viscous fluid in narrow passages
• The instability of uniform viscous flow under rollers and spreaders
• The flow of thin liquid films between rollers

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