Growth of a gas bubble in a viscous fluid

DOI10.1063/1.865830zbMath0608.76095OpenAlexW2060603464MaRDI QIDQ3747986

Hsueh-Chia Chang, Liang-Heng Chen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.865830

zbMATH Keywords

first integralbifurcation analysisdissipative systemfluid viscositycavitation pressuredouble-zero codimension 2 singularityMelnikov perturbation techniquesspherical gas bubblesviscous Rayleigh-Plesset equation

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32) Basic methods in fluid mechanics (76M99)

Related Items (7)

The onset of chaotic oscillations and rapid growth of a spherical bubble at subcritical conditions in an incompressible liquid ⋮ Statistical equilibrium of bubble oscillations in dilute bubbly flows ⋮ Chaotic motions of a forced droplet-droplet oscillator ⋮ Multibubble cavitation inception ⋮ Bubble dynamics in time-periodic straining flows ⋮ Chaotic oscillation of a bubble in a weakly viscous dielectric fluid under electric fields ⋮ Stability of a compressed gas bubble in a viscous fluid

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory

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