Nonlinear interaction between gas bubble and free surface
type: Item
instance of: scholarly article
title: Nonlinear interaction between gas bubble and free surface
zbMATH Open document ID: 0898.76005
DOI: 10.1016/0045-7930(96)00007-2
author: J. Ning
published in: Computers and Fluids
publication date: 1998-11-01T00:00:00Z
review text: This paper deals with the interaction of a gas bubble with a free surface. Particular attention is paid to the phenomenon of bubble rebounding in connected form. The mathematical model is outlined briefly, and the boundary integral method is used to solve the Laplace equation for the velocity potential. The bubble content is described by an adiabatic gas law. The authors analyze the general characteristics of gas bubble and free surface evolution. For strong interaction case, they carry out computations for bubbles initiated from the free surface with various buoyancy parameters. The evolution of the bubble surface and the free surface is also investigated after a jet penetrates the bubble. The influence of the initial pressure inside the gas bubble is analyzed, and it is found that the bubbles tend to rebound in a simply-connected form when the strength parameter satisfy the null Kelvin impulse condition. The evolution of bubbles in toroidal form is examined, and it is demonstrated that for large strength parameters the bubbles collapse.
reviewed by: Yang Yingchen
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76T10
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 1079026
zbMATH Keywords: influence of initial pressure
zbMATH Keywords: bubble collapse
zbMATH Keywords: bubble rebounding
zbMATH Keywords: boundary integral method
zbMATH Keywords: Laplace equation
zbMATH Keywords: velocity potential
zbMATH Keywords: adiabatic gas law
zbMATH Keywords: jet
zbMATH Keywords: strength parameter
zbMATH Keywords: null Kelvin impulse condition
MaRDI profile type: Publication
full work available at URL: 0045-7930(96)00007-2
OpenAlex ID: W2005025905
cites work: Q4099800
cites work: Q4122975
cites work: Numerical simulations of nonlinear axisymmetric flows with a free surface
cites work: Strong interaction between a buoyancy bubble and a free surface
cites work: A numerical investigation of non-spherical rebounding bubbles
cites work: Transient cavities near boundaries. Part 1. Rigid boundary
cites work: A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
cites work: The deformation of steep surface waves on water - I. A numerical method of computation
cites work: The formation of toroidal bubbles upon the collapse of transient cavities
cites work: Vortex ring bubbles
Wikidata QID: Q127740148
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description: scientific article; zbMATH DE number 1079026