Closure to “Discussions of ‘The Behavior of a Spherical Bubble in the Vicinity of a Solid Wall’” (1968, ASME J. Basic Eng., 90, p. 418)

1968 ◽  
Vol 90 (3) ◽  
pp. 418-419
Author(s):  
A. Shima
Keyword(s):  
Solid Wall ◽  
Spherical Bubble

scholarly journals Pressure Field Generated by Nonspherical Bubble Collapse

1983 ◽  
Vol 105 (3) ◽  
pp. 356-362 ◽  
Author(s):  
G. L. Chahine ◽  
A. G. Bovis
Keyword(s):  
Velocity Potential ◽  
Pressure Field ◽  
Solid Wall ◽  
Bubble Radius ◽  
Computer Time ◽  
Gas Content ◽  
Bubble Collapse ◽  
System Of Differential Equations ◽  
Spherical Bubble ◽  
Complex Cases

The method of matched asymptotic expansions is used to investigate the behavior of a collapsing bubble near a solid wall. Cases are studied in which the ratio ε between the initial spherical bubble radius and its distance from the wall is small. Expansions in powers of ε lead to a simple system of differential equations which is solved numerically. The bubble shape, the velocity potential and the pressure field are determined as functions of time. The deformation of the bubble is a singular perturbation of the pressure field around it. An increase in the value of ε augments the pressure on the solid wall by orders of magnitude. The influence of surface tension and the proximity of the wall, gas content and its law of compression, are investigated. The results are compared to previous investigations. One advantage of the method employed is the fact that it leads to a numerical solution which costs very little computer time. In addition, it can be extended very easily to more complex cases such as multibubble configurations or to walls coated with elastomeric coatings.

The Behavior of a Spherical Bubble in the Vicinity of a Solid Wall

1968 ◽  
Vol 90 (1) ◽  
pp. 75-89 ◽  
Author(s):  
A. Shima
Keyword(s):  
Surface Tension ◽  
Flow Velocity ◽  
Solid Wall ◽  
Bubble Surface ◽  
Bubble Collapse ◽  
Theoretical Treatment ◽  
Bubble Shape ◽  
Spherical Bubble ◽  
Numerical Examples ◽  
Impulse Pressure

The behavior of a spherical bubble as it collapses in the vicinity of a solid wall was theoretically analyzed, in terms of the effect of compressibility, viscosity, surface tension, and gravity being ignored, and the gas in the bubble following the adiabatic law of compression assumed. Numerical examples obtained by applying the theoretical treatment are given for the change in time of bubble shape as it collapses, the impulse pressure occurring during bubble collapse, and the flow velocity at the bubble surface.

The nucleation of cavities at grain boundaries

1987 ◽  
Vol 45 ◽  
pp. 288-291
Author(s):  
P. J. Goodhew
Keyword(s):  
Surface Tension ◽  
Surface Energy ◽  
Grain Boundaries ◽  
Radiation Damage ◽  
Impurity Concentration ◽  
Driving Force ◽  
Nucleation And Growth ◽  
Phase Boundaries ◽  
Cavity Nucleation ◽  
Spherical Bubble

Cavity nucleation and growth at grain and phase boundaries is of concern because it can lead to failure during creep and can lead to embrittlement as a result of radiation damage. Two major types of cavity are usually distinguished: The term bubble is applied to a cavity which contains gas at a pressure which is at least sufficient to support the surface tension (2g/r for a spherical bubble of radius r and surface energy g). The term void is generally applied to any cavity which contains less gas than this, but is not necessarily empty of gas. A void would therefore tend to shrink in the absence of any imposed driving force for growth, whereas a bubble would be stable or would tend to grow. It is widely considered that cavity nucleation always requires the presence of one or more gas atoms. However since it is extremely difficult to prepare experimental materials with a gas impurity concentration lower than their eventual cavity concentration there is little to be gained by debating this point.

Action of Non-Linear Waves at a Solid Wall

1977 ◽  
Author(s):  
Mohamed S. Nasser ◽  
John A. McCorquodale
Keyword(s):  
Solid Wall ◽  
Linear Waves ◽  
Non Linear

Connected Post-Wall (C-PW) Waveguide for Efficient Design of Broad Wall Slots by Using Equivalent Solid-Wall Waveguide

2010 ◽  
Vol E93-C (7) ◽  
pp. 1038-1046
Author(s):  
Jae-Ho LEE ◽  
Kimio SAKURAI ◽  
Jiro HIROKAWA ◽  
Makoto ANDO
Keyword(s):  
Solid Wall ◽  
Efficient Design
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