Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Fundamentals of CavitationThe Dynamics of Spherical Bubbles

Fundamentals of Cavitation: The Dynamics of Spherical Bubbles 3. THE DYNAMICS OF SPHERICAL BUBBLES 3.1. BASIC EQUATIONS 3.1.1. INTRODUCTION In this chapter we consider the dynamic evolution of a spherical bubble with a fixed center, which undergoes uniform pressure variations at infinity. This simple model demonstrates the main features of many practical cases such as bubble collapse, bubble formation from a nucleus, bubble oscillations, etc. Experience shows that more complicated situations, involving the motion of the bubble center for example, can be approximately dealt with using this model. From an historical viewpoint, the liquid motion induced by a spherical cavity in an infinite medium under uniform pressure at infinity seems to have been first considered by BESANT in 1859. It was solved for a non-viscous liquid by RAYLEIGH (1917) to interpret the phenomenon of cavitation erosion. In 1948, COLE used the model of a spherical bubble containing a non-condensable gas and applied it to sub- marine explosions. PLESSET (1954) considered the general case of bubble evolution for a viscous and non-compressible liquid. 3.1.2. ASSUMPTIONS The main assumptions are the following: — the liquid is incompressible and either Newtonian or inviscid; — gravity is neglected; — the air content of the bubble is constant, its inertia is neglected http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Fundamentals of CavitationThe Dynamics of Spherical Bubbles

Part of the Fluid Mechanics and Its Applications Book Series (volume 76)
Fundamentals of Cavitation — Jan 1, 2005
Download PDF
21 pages

Loading next page...
 
/lp/springer-journals/fundamentals-of-cavitation-the-dynamics-of-spherical-bubbles-0NfeUg0EIa
Publisher
Springer Netherlands
Copyright
© Springer Science + Business Media, Inc. 2005
ISBN
978-1-4020-2232-6
Pages
35 –56
DOI
10.1007/1-4020-2233-6_3
Publisher site
See Chapter on Publisher Site

Abstract

3. THE DYNAMICS OF SPHERICAL BUBBLES 3.1. BASIC EQUATIONS 3.1.1. INTRODUCTION In this chapter we consider the dynamic evolution of a spherical bubble with a fixed center, which undergoes uniform pressure variations at infinity. This simple model demonstrates the main features of many practical cases such as bubble collapse, bubble formation from a nucleus, bubble oscillations, etc. Experience shows that more complicated situations, involving the motion of the bubble center for example, can be approximately dealt with using this model. From an historical viewpoint, the liquid motion induced by a spherical cavity in an infinite medium under uniform pressure at infinity seems to have been first considered by BESANT in 1859. It was solved for a non-viscous liquid by RAYLEIGH (1917) to interpret the phenomenon of cavitation erosion. In 1948, COLE used the model of a spherical bubble containing a non-condensable gas and applied it to sub- marine explosions. PLESSET (1954) considered the general case of bubble evolution for a viscous and non-compressible liquid. 3.1.2. ASSUMPTIONS The main assumptions are the following: — the liquid is incompressible and either Newtonian or inviscid; — gravity is neglected; — the air content of the bubble is constant, its inertia is neglected

Published: Jan 1, 2005

Keywords: Critical Pressure; Interface Velocity; Characteristic Time Scale; Bubble Radius; Bubble Collapse

There are no references for this article.