Small-amplitude perturbations of shape for a nearly spherical bubble in an inviscid straining flow (steady shapes and oscillatory motion)

DOI10.1017/S0022112088000412zbMath0645.76105MaRDI QIDQ3789260

L. Gary Leal, In Seok Kang

Publication date: 1988

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

zbMATH Keywords

solution branchsteady- state solutionsaxisymmetric oscillatory motionsexistence of a limit pointinviscid, axisymmetric straining flowmethod of domain perturbationsnearly spherical bubblespherical equilibrium state

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Gas dynamics (general theory) (76N15) Basic methods in fluid mechanics (76M99)

Related Items (12)

Electrically induced bubble deformation, translation and collapse ⋮ A pairwise interaction theory for determining the linear acoustic properties of dilute bubbly liquids ⋮ The quasisteady shape of a deformable bubble in a weakly nonuniform potential flow ⋮ The stability of a bubble in a weakly viscous liquid subject to an acoustic traveling wave ⋮ Bifurcation and chaos in shape and volume oscillations of a periodically driven bubble with two-to-one internal resonance ⋮ Bubble dynamics in time-periodic straining flows ⋮ Viscous contributions to the pressure for potential flow analysis of capillary instability of two viscous fluids ⋮ Chaotic oscillation of a bubble in a weakly viscous dielectric fluid under electric fields ⋮ Effects of a uniform magnetic field on a growing or collapsing bubble in a weakly viscous conducting fluid ⋮ Numerical solution of axisymmetric, unsteady free-boundary problems at finite Reynolds number. II. Deformation of a bubble in a biaxial straining flow ⋮ Translational instability of a bubble undergoing shape oscillations ⋮ Resonances of a conducting drop in an alternating electric field

Cites Work

• Numerical solution of free-boundary problems in fluid mechanics. Part 3. Bubble deformation in an axisymmetric straining flow
• Nonlinear oscillations of inviscid drops and bubbles
• Resonant oscillations of inviscid charged drops
• Oscillations of a rotating liquid drop
• Numerical solution of axisymmetric, unsteady free-boundary problems at finite Reynolds number. I. Finite-difference scheme and its application to the deformation of a bubble in a uniaxial straining flow
• Bubble or drop distortion in a straining flow in two dimensions
• Shape oscillation and static deformation of drops and bubbles driven by modulated radiation stresses—Theory
• A bubble in an axially symmetric shear flow
• The oscillations of a fluid droplet immersed in another fluid
• A note on the damping and oscillations of a fluid drop moving in another fluid

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