Global stability analysis of bubbles rising in a vertical capillary with an external flow

DOI10.1017/jfm.2023.123OpenAlexW4323843350MaRDI QIDQ5882043

M. A. Herrada, Howard A. Stone, Yingxian Estella Yu

Publication date: 14 March 2023

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

Full work available at URL: https://doi.org/10.1017/jfm.2023.123

zbMATH Keywords

incompressible Navier-Stokes equationsbifurcation diagramcapillary flowgeneralised eigenvalue problemsecond-order backward finite difference schemesymmetry-breaking shape

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (1)

Stable production of fluid jets with vanishing diameters via tip streaming

Cites Work

• A numerical method to study the dynamics of capillary fluid systems
• Three-dimensional stability analysis of free surface flows: Application to forward deformable roll coating
• A quasi-elliptic transformation for moving boundary problems with large anisotropic deformations.
• Instability of plumes driven by localized heating
• Taylor bubble moving in a flowing liquid in vertical channel: transition from symmetric to asymmetric shape
• The motion of long bubbles in tubes
• Axial stability of Taylor bubbles
• Quick deposition of a fluid on the wall of a tube
• Vortex breakdown in compressible flows in pipes
• The steady cone-jet mode of electrospraying close to the minimum volume stability limit
• Time-dependent motion of a confined bubble in a tube: transition between two steady states
• Hysteresis in swirling jets
• On the bifurcation structure of axisymmetric vortex breakdown in a constricted pipe
• Global stability analysis of flexible channel flow with a hyperelastic wall
• Linear stability analysis of Taylor bubble motion in downward flowing liquids in vertical tubes
• Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder
• Non-unique bubble dynamics in a vertical capillary with an external flow

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