Numerical solution of axisymmetric, unsteady free-boundary problems at finite Reynolds number. II. Deformation of a bubble in a biaxial straining flow

DOI10.1063/1.857439zbMath0668.76135OpenAlexW1998094084MaRDI QIDQ3821866

L. Gary Leal, In Seok Kang

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.857439

zbMATH Keywords

full Navier-Stokes equationssteady solutionsNumerical solutionsamplitude oscillationsunsteady deformation of a bubblebiaxial straining flowpotential flow limitsteady-state bubble shape

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)

Related Items (5)

Accelerated flows past a rigid sphere or a spherical bubble. Part 1. Steady straining flow ⋮ Drop dynamics in an oscillating extensional flow at finite Reynolds numbers ⋮ On the interaction of a bubble and a vortex ring at high Reynolds numbers ⋮ The propagation of temperature and concentration fields around a deformed gas bubble rising in a quiescent hot or bi‐solution liquid ⋮ A Newton's method scheme for solving free‐surface flow problems

Cites Work

• Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique
• Numerical solution of free-boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid
• Numerical solution of free-boundary problems in fluid mechanics. Part 3. Bubble deformation in an axisymmetric straining flow
• 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
• Small-amplitude perturbations of shape for a nearly spherical bubble in an inviscid straining flow (steady shapes and oscillatory motion)
• The evolution of slender inviscid drops in an axisymmetric straining flow
• A bubble in an axially symmetric shear flow
• On the shape of a gas bubble in a viscous extensional flow
• Deformation and breakup of a single slender drop in an extensional flow
• Pointed bubbles in slow viscous flow
• The constitutive equation for a dilute emulsion
• Deformation and burst of a liquid droplet freely suspended in a linear shear field

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