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Bubble Dynamics and Cavitation

Bubble Dynamics and Cavitation The first analysis of a problem in cavitation and bubble dynamics was made by Rayleigh (1917), who solved the problem of the collapse of an empty cavity in a large mass of liquid. Rayleigh also considered in this same paper the problem of a gas-filled cavity under the assumption that the gas undergoes isothermal com­ pression. His interest in these problems presumably arose from concern with cavitation and cavitation damage. Wit h n eglect of surface tension and liquid viscosity and with the assumption of liquid incompressibility, Rayleigh showed from the momentum equation that the bubble boundary R (t) obeyed the relation RR+W<)2 where p is the liquid density, Poo is the pressure in the liquid at a large distance from the bubble, and peR) is the pressure in the liquid at the bubble boundary. For this Rayleigh problem, peR) is also the pressure within the bubble. Incompressibility of the liquid means that the liquid velocity at a distance r from the bubble center is u(r. t) = p(R) - poo p , (1.1) The pressure in the liquid is readily found from the general Bernoulli equation to be R 3 R . R 1 . (1.3) per, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annual Review of Fluid Mechanics Annual Reviews

Bubble Dynamics and Cavitation

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References (3)

Publisher
Annual Reviews
Copyright
Copyright 1977 Annual Reviews. All rights reserved
Subject
Review Articles
ISSN
0066-4189
eISSN
1545-4479
DOI
10.1146/annurev.fl.09.010177.001045
Publisher site
See Article on Publisher Site

Abstract

The first analysis of a problem in cavitation and bubble dynamics was made by Rayleigh (1917), who solved the problem of the collapse of an empty cavity in a large mass of liquid. Rayleigh also considered in this same paper the problem of a gas-filled cavity under the assumption that the gas undergoes isothermal com­ pression. His interest in these problems presumably arose from concern with cavitation and cavitation damage. Wit h n eglect of surface tension and liquid viscosity and with the assumption of liquid incompressibility, Rayleigh showed from the momentum equation that the bubble boundary R (t) obeyed the relation RR+W<)2 where p is the liquid density, Poo is the pressure in the liquid at a large distance from the bubble, and peR) is the pressure in the liquid at the bubble boundary. For this Rayleigh problem, peR) is also the pressure within the bubble. Incompressibility of the liquid means that the liquid velocity at a distance r from the bubble center is u(r. t) = p(R) - poo p , (1.1) The pressure in the liquid is readily found from the general Bernoulli equation to be R 3 R . R 1 . (1.3) per,

Journal

Annual Review of Fluid Mechanics – Annual Reviews

Published: Jan 1, 1977

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