Abstract
This chapter is a general introduction to cavitation. Various features of cavitating flows are analyzed on the basis of the Rayleigh-Plesset equation. They concern not only the simple configuration of a single spherical bubble but also complex cavitating flows as those observed in cavitating turbopumps. Scaling rules, erosive potential, thermodynamic effect, supercavitation, traveling bubble cavitation, cavitation modeling are some of the topics addressed here. They are examined through this simple, basic equation which proves to be a quite useful tool for a first approach of real cavitation problems.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
Arndt R.E.A. (2002) Cavitation in vertical flows. Annu. Rev. Fluid Mech. 34 143–175
Blake J.R. and Gibson D.C. (1987) Cavitation bubbles near boundaries. Annu. Rev. Fluid Mech. 19 99–128
Brennen C.E. (1995) Cavitation and bubble dynamics. Oxford University Press
Chahine G.L. and Genoux P.F. (1983) Collapse of a cavitating vortex ring. J. Fluids Eng. 105 400–405
Escaler X., Farhat M., Avellan F. and Egusquiza E. (2003) Cavitation erosion tests on a 2D hydrofoil using surface-mounted obstacles. Wear 254 441–449
Franc J.-P. and Michel J.-M. (2004) Fundamentals of Cavitation. Kluwer
Fruman D.H., Reboud J.L. and Stutz B. (1999) Estimation of the thermal effects in cavitation of thermosensible liquids. Int. J. Heat and Mass Transfer 42 3195–3204
Fujikawa S. and Akamatsu T. (1980) Effects of non-equilibrium condensation of vapour on the pressure wave produced by the collapse of a bubble in a liquid. J. Fluid Mech. 97 part 3 481–512
Garabedian P.R. (1956) Calculation of axially symmetric cavities and jets. Pac. J. Math. 6 611–684
Gopalan S. and Katz J. (2000) Flow structure and modeling issues in the closure region of attached cavitation. Physics of Fluids 12 No.4 895–911
Kato H., Konno A., Maeda M. and Yamaguchi H. (1996) Possibility of quantitative prediction of cavitation erosion without model test. J. Fluids Eng. 118 582–588.
Knapp R.T., Daily J.W. and Hammitt F.G. (1970) Cavitation. McGraw-Hill
Kubota A., Kato H. and Yamaguchi H. (1992) A new modeling of cavitating flows: a numerical study of unsteady cavitation on a hydrofoil section. J. Fluid Mech. 240 59–96.
Lecoffre Y. (1995) Cavitation erosion, hydrodynamics scaling laws, practical method of long term damage prediction. Proc. Int. Symp. on Cavitation Deauville (France) 249–256
Leighton T.G. (1994) The acoustic bubble. Academic Press
Lindau O. and Lauterborn W. (2003) Cinematographic observation of the collapse and rebound of a laser-produced cavitation bubble near a wall. J. Fluid Mech. 479 327–348
Logvinovich G.V. (1969) Hydrodynamics of free surface flows (in Russian). Nauvoka Dunka Ed. Kiev
Pellone C., Franc J.-P. and Perrin M. (2004) Modelling of unsteady 2D cavity flows using the Logvinovich independence principle. C.R. Mécanique 332 827–833.
Plesset M.S. (1949) The dynamics of cavitation bubbles. J. Appl. Mech. 16 277 sq.
Prosperetti A. (2004) Bubbles. Physics of Fluids 16 No.6 1852–1865
Rayleigh (Lord) (1917) The pressure developed in a liquid during the collapse of a spherical cavity. Phil. Mag. 34 94 sq.
Serebryakov V.V. (1972) The annular model for calculation of axisymmetric cavity flows (in Russian). Hydromechanics Nauvoka Dunka Ed. Kiev 27 25–29
Tomita Y., Robinson P.B., Tong R.P. and Blake J.R. (2002) Growth and collapse of cavitation bubbles near a curved rigid boundary. J. Fluid Mech. 466 259–283
Trevena D.H. (1987) Cavitation and tension in liquids. Adam Hilger
Young F.R. (1989) Cavitation. McGraw-Hill
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 CISM, Udine
About this chapter
Cite this chapter
Franc, JP. (2007). The Rayleigh-Plesset equation: a simple and powerful tool to understand various aspects of cavitation. In: d’Agostino, L., Salvetti, M.V. (eds) Fluid Dynamics of Cavitation and Cavitating Turbopumps. CISM International Centre for Mechanical Sciences, vol 496. Springer, Vienna. https://doi.org/10.1007/978-3-211-76669-9_1
Download citation
DOI: https://doi.org/10.1007/978-3-211-76669-9_1
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-76668-2
Online ISBN: 978-3-211-76669-9
eBook Packages: EngineeringEngineering (R0)