Bubble dynamics in time-periodic straining flows

DOI10.1017/S0022112090000921zbMath0706.76126OpenAlexW2170952493MaRDI QIDQ3487077

In Seok Kang, L. Gary Leal

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0022112090000921

zbMATH Keywords

approximate dynamic modelaxisymmetric, time-periodic straining flowbreakup of a bubblefull fluid mechanics problemstable steady solutiontime-dependent numerical solutions

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99)

Related Items (14)

Viscous irrotational analysis of the deformation and break-up time of a bubble or drop in uniaxial straining flow ⋮ A low-dimensional model of separation bubbles ⋮ A new exact solution of a damped quadratic non-linear oscillator ⋮ Invariant manifold templates for chaotic advection ⋮ Multiple separatrix crossing in multi-degree-of-freedom Hamiltonian flows ⋮ Codimension-one partitioning and phase space transport in multi-degree- of-freedom Hamiltonian systems with non-toroidal invariant manifold intersections ⋮ The onset of chaotic oscillations and rapid growth of a spherical bubble at subcritical conditions in an incompressible liquid ⋮ Optimal Control of Homoclinic Bifurcation: Theoretical Treatment and Practical Reduction of Safe Basin Erosion in the Helmholtz Oscillator ⋮ Drop dynamics in an oscillating extensional flow at finite Reynolds numbers ⋮ Chaotic oscillation of a bubble in a weakly viscous dielectric fluid under electric fields ⋮ Topological methods for transients of driven systems ⋮ On the breakup of bubbles at high Reynolds numbers and subcritical Weber numbers ⋮ On the interaction of a bubble and a vortex ring at high Reynolds numbers ⋮ Minimal topological chaos coexisting with a finite set of homoclinic and periodic orbits

Cites Work

• Singularities of vector fields
• Numerical solution of free-boundary problems in fluid mechanics. Part 3. Bubble deformation in an axisymmetric straining flow
• Growth of a gas bubble in a viscous fluid
• 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
• Regular and chaotic bubble oscillations in periodically driven pressure fields
• Small-amplitude perturbations of shape for a nearly spherical bubble in an inviscid straining flow (steady shapes and oscillatory motion)
• A bubble in an axially symmetric shear flow

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