Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2019 | OriginalPaper | Chapter

1. Bubble Dynamics

Authors : Rachel Pflieger, Sergey I. Nikitenko, Carlos Cairós, Robert Mettin

Published in: Characterization of Cavitation Bubbles and Sonoluminescence

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Bubble dynamics and cavitation have been recognized as a relevant topic of physics and engineering for more than 100 years. Starting with erosion problems at ship propellers end of the nineteenth century [1, 2], experimental and theoretical research went on to intense ultrasound fields in liquids after World War I [3]. However, the phenomena are intrinsically difficult to investigate since the involved spatial scales span many orders of magnitude, the timescales are partly extremely fast, and the behavior includes important nonlinearities.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
next chapter Sonoluminescence
Footnotes
1
More realistic descriptions of bubbles might consider non-equilibrium conditions like heat conduction, inhomogeneous bubble interior, or dynamics of evaporation/condensation of liquid/vapor at the bubble wall.
 
2
Free submicron bubbles should dissolve quite rapidly because of surface tension, as suggested above. However, bubbles might be stabilized in crevices of solid particles [8] or be stabilized statically or dynamically when covered partly with hydrophobic material; see [8, 22].
 
3
The term “stable” for gas dominated bubble dynamics is somehow unfortunate since less strong collapsing bubbles can nevertheless exhibit instabilities (e.g., develop non-spherical shapes and splitting), while inertial cavitation bubbles can well oscillate in stable regimes. The older notion of “transient” cavitation for inertial cavitation is misleading in the same sense.
 
4
The unlimited expansion occurs theoretically in an unbounded liquid volume. In a real situation, the nucleus expansion will be stopped by boundary conditions, but it can reach a “macroscopic” bubble size.
 
5
In a way as a contrast, “top-down” descriptions of cavitation start from multiphase flow of liquid and vapor (for hydrodynamic cavitation, see [9, 39]) or from sound propagation in bubbly media (see [40‐45]).
 
6
Pressure gradients of the sound field are typically much larger than the hydrostatic pressure gradient, and therefore buoyancy can often be neglected in the discussion of acoustic cavitation bubbles. Only for larger bubbles and weak driving, buoyancy might supersede acoustic forces which leads to a rise of the bubble to the surface.
 
7
While secondary Bjerknes forces indeed decay with the squared distance like gravitational forces, there are differences in that stars move without friction and do typically not collide. Furthermore, the secondary Bjerknes force changes for very close or far distances, and the “mass” of a bubble depends on the driving pressure at its position. Nevertheless, partly interesting similarities exist visually between bubble structures and galactic structures.
 
8
Inactive larger bubbles can be trapped at pressure nodes of a standing acoustic wave.
 
9
Details of liquid injection are still subject of investigation. At least, three scenarios could take place: (I) During re-expansion of the bubble, the spherical shape is roughly restored, and remnants of the jet might disintegrate into droplets, remaining in the gas phase until the next collapse happens. (II) The jet impact onto the opposite bubble wall can cause nanosplashes that disintegrate into droplets [95]. (III) The rear side of the bubble might become unstable and split off droplets. In this context, note the non-smooth bubble backside in Fig. 1.17.
 
Literature
1.
Silberrad D (1912) Propeller erosion. Engineering 33:33–35
2.
Rayleigh L (1917) On the pressure developed in a liquid during the collapse of a spherical cavity. Phil Mag Ser 6(34):94–98CrossRef
3.
Wood RW, Loomis AL (1927) XXXVIII The physical and biological effects of high-frequency sound-waves of great intensity. Lond, Edinb, Dublin Philos Mag J Sci 4(22):417–436CrossRef
4.
Flynn HG (1964) Physics of acoustic cavitation in liquids. In: Mason WP (ed) Physical acoustics, vol 1, Part B. Academic Press, New York, pp 57–172
5.
Rozenberg LD (1971) High-intensity ultrasonic fields. Plenum Press, New YorkCrossRef
6.
7.
Young FR (1989) Cavitation. McGraw-Hill, London
8.
Leighton TG (1994) The acoustic bubble. Academic Press, London
9.
Brennen EG (1995) Cavitation and bubble dynamics. Oxford University Press, New York
10.
Young FR (2005) Sonoluminescence. CRC Press, Boca Raton
11.
Mason TJ, Lorimer JP (1988) Sonochemistry. Wiley
12.
Mason TJ (ed) (1999) Advances in sonochemistry, vol 5. Jai Press, Stamford
13.
Lauterborn W, Kurz T, Mettin R, Ohl C-D (1999) Experimental and theoretical bubble dynamics. Adv Chem Phys 110: 295–380
14.
Ohl C-D, Kurz T, Geisler R, Lindau O, Lauterborn W (1999) Bubble dynamics, shock waves and sonoluminescence. Phil Trans R Soc Lond A 357:269–294CrossRef
15.
Mettin R (2007) From a single bubble to bubble structures in acoustic cavitation. In: Kurz T, Parlitz U, Kaatze U (eds) Oscillations, waves and interactions. Universitätsverlag Göttingen, Göttingen, pp 171–198
16.
Lauterborn W, Kurz T (2010) Physics of bubble oscillations. Rep Prog Phys 73:106501CrossRef
17.
Lauterborn W, Mettin R (2015) Acoustic cavitation: bubble dynamics in high-power ultrasonic fields. In: Gallego-Juárez JA, Graff KF (eds) Power ultrasonics. Elsevier, pp 37–78
18.
Mettin R, Cairós C (2016) Bubble dynamics and observations. In: Ashokkumar M et al (eds) Handbook of ultrasonics and sonochemistry. Springer Science + Business Media, SingaporeCrossRef
19.
Harvey EN, McElroy WD, Whiteley AH (1947) On cavity formation in water. J Appl Phys 18(2):162–172CrossRef
20.
Fox FE, Herzfeld KF (1954) Gas bubbles with organic skin as cavitation nuclei. J Acoust Soc Am 26(6):984–989CrossRef
21.
Crum LA (1982) Nucleation and stabilization of microbubbles in liquids. Appl Sci Res 38(1):101–115CrossRef
22.
Yasui K, Tuziuti T, Kanematsu W, Kato K (2016) Dynamic equilibrium model for a bulk nanobubble and a microbubble partly covered with hydrophobic material. Langmuir 32(43):11101–11110PubMedCrossRef
23.
Keller AP (1974) Investigations concerning scale effects of the inception of cavitation. In: Proceedings I mechanical engineering conference on cavitation, pp 109–117
24.
25.
Minnaert M (1933) On musical air bubbles and the sounds of running water. Phil Mag Ser 7(16):235–248CrossRef
26.
Parlitz U, Englisch V, Scheffczyk C, Lauterborn W (1990) Bifurcation structure of bubble oscillators. J Acoust Soc Am 88:1061CrossRef
27.
Hilgenfeldt S, Grossmann S, Lohse D (1999) Sonoluminescence light emission. Phys Fluids 11:1318CrossRef
28.
Hilgenfeldt S, Brenner MP, Grossmann S, Lohse D (1998) Analysis of Rayleigh-Plesset dynamics for sonoluminescing bubbles. J Fluid Mech 365:171–204CrossRef
29.
Prosperetti A, Lezzi A (1986) Bubble dynamics in a compressible liquid. Part 1. First-order theory. J Fluid Mech 168:457–478CrossRef
30.
Kamath V, Prosperetti A, Egolfopoulos FN (1993) A theoretical study of sonoluminescence. J Acoust Soc Am 94(1):248–260CrossRef
31.
Yasui K (1997) Alternative model of single-bubble sonoluminescence. Phys Rev E 56:6750CrossRef
32.
Keller JB, Miksis M (1980) Bubble oscillations of large amplitude. J Acoust Soc Am 68:628CrossRef
33.
Mettin R, Cairós C, Troia A (2015) Sonochemistry and bubble dynamics. Ultrason Sonochem 25:24–30PubMedCrossRef
34.
Thiemann A, Holsteyns F, Cairos C, Mettin R (2017) Sonoluminescence and dynamics of cavitation bubble populations in sulfuric acid. Ultrason Sonochem 34:663–676PubMedCrossRef
35.
Blake FG (1949) Harvard University Acoustic Research Laboratory, Tech. Mem. No. 12, 1949 (unpublished)
36.
Noltingk BE, Neppiras EA (1950) Cavitation produced by ultrasonics. Proc Phys Soc Lond, Sect B 63(9):674CrossRef
37.
Louisnard O, Gomez F (2003) Growth by rectified diffusion of strongly acoustically forced gas bubbles in nearly saturated liquids. Phys Rev E 67:036610
38.
Lauterborn W, Mettin R (1999) Nonlinear bubble dynamics—response curves and more. In: Crum LA, Mason TJ, Reisse JL, Suslick KS (eds) Sonochemistry and sonoluminescence; Proceedings of the NATO advanced study institute, Leavenworth (WA), USA, 18–29 Aug 1997. Kluwer Academic Publishers, Dordrecht, pp 63–72CrossRef
39.
Franc J-P, Michel J-M (2006) Fundamentals of cavitation. Springer science & Business media, Berlin
40.
Van Wijngaarden L (1972) One-dimensional flow of liquids containing small gas bubbles. Ann Rev Fluid Mech 4:369–394CrossRef
41.
Caflisch RE, Miksis MJ, Papanicolaou GC, Ting L (1985) Effective equations for wave propagation in bubbly liquids. J Fluid Mech 153:259–273CrossRef
42.
Commander KW, Prosperetti A (1989) Linear pressure waves in bubbly liquids: comparison between theory and experiments. J Acoust Soc Am 85:732–746CrossRef
43.
Akhatov I, Parlitz U, Lauterborn W (1996) Towards a theory of self-organization phenomena in bubble-liquid mixtures. Phys Rev E 54:4990CrossRef
44.
Louisnard O (2012) A simple model of ultrasound propagation in a cavitating liquid. Part I: theory, nonlinear attenuation and traveling wave generation. Ultrason Sonochem 19:56–65PubMedCrossRef
45.
Louisnard O (2012) A simple model of ultrasound propagation in a cavitating liquid. Part II: primary Bjerknes force and bubble structures. Ultrason. Sonochem. 19:66–76PubMedCrossRef
46.
Cairós C, Schneider J, Pflieger R, Mettin R (2014) Effects of argon sparging rate, ultrasonic power, and frequency on multibubble sonoluminescence spectra and bubble dynamics in NaCl aqueous solutions. Ultrason Sonochem 21:2044–2051PubMedCrossRef
47.
Mettin R, Cairós C (2019) Leuchtende Blasen. Phys Unserer Zeit 50(1):38–42CrossRef
48.
Taylor GI (1950) The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. Proc R Soc Lond A 201:192–196CrossRef
49.
Plesset MS (1954) On the stability of fluid flows with spherical symmetry. J Appl Phys 25(1):96–98CrossRef
50.
51.
Birkhoff G (1956) Stability of spherical bubbles. Q Appl Math 13(4):451–453CrossRef
52.
Plesset MS, Mitchell TP (1956) On the stability of the spherical shape of a vapor cavity in a liquid. Q Appl Math 13(4):419–430CrossRef
53.
Strube HW (1971) Numerische Untersuchungen zur Stabilität nichtsphärisch schwingender Blasen. Acustica 25:289–303
54.
Kornfeld M, Suvorov L (1944) On the destructive action of cavitation. J Appl Phys 15(6):495–506CrossRef
55.
Hilgenfeldt S, Lohse D, Brenner MP (1996) Phase diagrams for sonoluminescing bubbles. Phys Fluids 8:2808CrossRef
56.
Versluis M, Goertz DE, Palanchon P, Heitman IL, van der Meer SM, Dollet B, de Jong N, Lohse D (2010) Microbubble shape oscillations excited through ultrasonic parametric driving. Phys Rev E 82(2):026321CrossRef
57.
Eller A, Flynn HG (1965) Rectified diffusion during nonlinear pulsations of cavitation bubbles. J Acoust Soc Am 37(3):493–503CrossRef
58.
Fyrillas MM, Szeri AJ (1994) Dissolution or growth of soluble spherical oscillating bubbles. J Fluid Mech 277:381–407CrossRef
59.
Bjerknes VFK (1906) Fields of force. Columbia University Press, New York
60.
Matula TJ, Cordry AM, Roy RA, Crum LA (1997) Bjerknes force and bubble levitation under single-bubble sonoluminescence conditions. J Acoust Soc Am 102:1522–1527CrossRef
61.
Akhatov I, Mettin R, Ohl C-D, Parlitz U, Lauterborn W (1997) Bjerknes force threshold for stable single bubble sonoluminescence. Phys Rev E 55:3747–3750CrossRef
62.
Mettin R, Akhatov I, Parlitz U, Ohl CD, Lauterborn W (1997) Bjerknes forces between small cavitation bubbles in a strong acoustic field. Phys Rev E 56:2924–2931CrossRef
63.
Crum LA (1975) Bjerknes forces on bubbles in a stationary sound field. J Acoust Soc Am 57(6):1363–1370CrossRef
64.
Cairós C, Mettin R (2017) Simultaneous high-speed recording of sonoluminescence and bubble dynamics in multibubble fields. Phys Rev Lett 118(6):064301PubMedCrossRef
65.
Levich VG (1962) Physicochemical hydrodynamics. Prentice-Hall, Englewood Cliffs
66.
Klyachko LS (1934) Heating and ventilation. USSR J Otopl I Ventil (4)
67.
Magnaudet J, Legendre D (1998) The viscous drag force on a spherical bubble with a time-dependent radius. Phys Fluids 10(3):550–554CrossRef
68.
Krefting D, Mettin R, Lauterborn W (2002) Kräfte in akustischen Kavitationsfeldern (Forces in acoustic cavitation fields). In Jekosch U (ed) Fortschritte der Akustik—DAGA 2002, Bochum. DEGA, Oldenburg, pp 260–261
69.
Apfel RE (1981) Acoustic cavitation prediction. J Acoust Soc Am 69(6):1624–1633CrossRef
70.
Church CC (1988) Prediction of rectified diffusion during nonlinear bubble pulsations at biomedical frequencies. J Acoust Soc Am 83(6):2210–2217PubMedCrossRef
71.
Mettin R (2005) Bubble structures in acoustic cavitation. In: Doinikov AA (ed) Bubble and particle dynamics in acoustic fields: modern trends and applications. Research Signpost, Kerala, pp 1–36
72.
Gaitan D, Crum LA, Church CC, Roy RA (1992) Sonoluminescence and bubble dynamics for a single, stable, cavitation bubble. J Acoust Soc Am 91:3166–3183CrossRef
73.
Hiller R, Putterman SJ, Barber BP (1992) Spectrum of synchronous picosecond sonoluminescence. Phys Rev Lett 69:1182PubMedCrossRef
74.
Barber BP, Hiller RA, Löfstedt R, Putterman SJ, Weninger KR (1997) Defining the unknowns of sonoluminescence. Phys Rep 281:65–143CrossRef
75.
76.
Gompf B, Günther R, Nick G, Pecha R, Eisenmenger W (1997) Resolving sonoluminescence pulse width with time-correlated single photon counting. Phys Rev Lett 79:1405CrossRef
77.
Chen W, Huang W, Liang Y, Gao X, Cui W (2008) Time-resolved spectra of single-bubble sonoluminescence in sulfuric acid with a streak camera. Phys Rev E 78(3):035301CrossRef
78.
Hiller R, Weninger K, Putterman SJ, Barber BP (1994) Effect of noble gas doping in single-bubble sonoluminescence. Science 266(5183):248–250PubMedCrossRef
79.
Schneider J, Pflieger R, Nikitenko SI, Shchukin D, Möhwald H (2010) Line emission of sodium and hydroxyl radicals in single-bubble sonoluminescence. J Phys Chem A 115(2):136–140PubMedCrossRef
80.
Flannigan DJ, Suslick KS (2005) Plasma line emission during single-bubble cavitation. Phys Rev Lett 95:044301PubMedCrossRef
81.
Flannigan DJ, Suslick KS (2005) Plasma formation and temperature measurement during single-bubble cavitation. Nature 434(7029):52PubMedCrossRef
82.
Lepoint T, Lepoint-Mullie F, Henglein A (1999) Single bubble sonochemistry. In: Crum LA et al (eds) Sonochemistry and sonoluminescence. Kluwer Academic Publishers, Dordrecht, pp 285–290CrossRef
83.
Verraes T, Lepoint-Mullie F, Lepoint T, Longuet-Higgins M (2000) Experimental study of the liquid flow near a single sonoluminescent bubble. J Acoust Soc Am 108:117PubMedCrossRef
84.
Troia A, Madonna Ripa D, Lago S, Spagnolo R (2004) Evidence for liquid phase reactions during single bubble acoustic cavitation. Ultrason Sonochem 11:317PubMedCrossRef
85.
Didenko YT, Suslick KS (2002) The energy efficiency of formation of photons, radicals and ions during single-bubble cavitation. Nature 418(6896):394PubMedCrossRef
86.
Mettin R, Lindinger B, Lauterborn W (2002) Bjerknes-Instabilität levitierter Einzelblasen bei geringem statischen Druck (Bjerknes-instability of levitated single bubbles at low static pressure). In: Jekosch U (ed) Fortschritte der Akustik—DAGA 2002, Bochum. DEGA, Oldenburg, pp 264–265
87.
Rosselló JM, Dellavale D, Bonetto FJ (2013) Energy concentration and positional stability of sonoluminescent bubbles in sulfuric acid for different static pressures. Phys Rev E 88:033026CrossRef
88.
Matula TJ, Roy RA, Mourad PD, McNamara WB III, Suslick KS (1995) Comparison of multibubble and single-bubble sonoluminescence spectra. Phys Rev Lett 75:2602PubMedCrossRef
89.
Benjamin TB, Ellis AT (1966) The collapse of cavitation bubbles and the pressures thereby produced against solid boundaries. Phil Trans Roy Soc Lond A 260:221–240CrossRef
90.
Calvisi M, Lindau O, Blake JR, Szeri AJ (2007) Shape stability and violent collapse of microbubbles in acoustic traveling waves. Phys Fluids 19:047101CrossRef
91.
Vuong VQ, Szeri AJ, Young DA (1999) Shock formation within sonoluminescence bubbles. Phys Fluids 11:10–17CrossRef
92.
Schanz D, Metten B, Kurz T, Lauterborn W (2012) Molecular dynamics simulations of cavitation bubble collapse and sonoluminescence. New J Phys 14:113019CrossRef
93.
Xu H, Eddingsaas NC, Suslick KS (2009) Spatial separation of cavitating bubble populations: the nanodroplet injection model. J Am Chem Soc 131:6060–6061PubMedCrossRef
94.
Xu H, Glumac NG, Suslick KS (2010) Temperature inhomogeneity during multibubble sonoluminescence. Angew. Chemie 122(6):1097–1100CrossRef
95.
Lechner C, Koch M, Lauterborn W, Mettin R (2017) Pressure and tension waves from bubble collapse near a solid boundary: a numerical approach. J Acoust Soc Am 142(6):3649–3659PubMedCrossRef
96.
Blake JR, Hooton MC, Robinson PB, Tong RP (1997) Collapsing cavities, toroidal bubbles and jet impact. Phil Trans Roy Soc Lond A 355:537–550CrossRef
97.
Reuter F, Gonzalez-Avila SR, Mettin R, Ohl C-D (2017) Flow fields and vortex dynamics of bubbles collapsing near a solid boundary. Phys Rev Fluids 2:064202CrossRef
98.
Reuter F, Mettin R (2018) Electrochemical wall shear rate microscopy of collapsing bubbles. Phys Rev Fluids 3:063601CrossRef
99.
Plesset MS, Chapman RB (1971) Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary. J Fluid Mech 47(2):283–290CrossRef
100.
Lauterborn W, Bolle H (1975) Experimental investigations of cavitation-bubble collapse in the neighbourhood of a solid boundary. J Fluid Mech 72(2):391–399CrossRef
101.
Philipp A, Lauterborn W (1998) Cavitation erosion by single laser-produced bubbles. J Fluid Mech 361:75–116CrossRef
102.
Krefting D, Mettin R, Lauterborn W (2004) High-speed observation of acoustic cavitation erosion in multibubble systems. Ultrason Sonochem 11:119–123PubMedCrossRef
103.
Fuchs FJ (2015) Ultrasonic cleaning and washing of surfaces. In: Gallego-Juárez JA, Graff KF (eds) Power ultrasonics. Elsevier, pp 577–610
104.
105.
106.
Blake JR, Keen GS, Tong RP, Wilson M (1999) Acoustic cavitation: the fluid dynamics of non–spherical bubbles. Phil Trans R Soc Lond A 357:251CrossRef
107.
Pearson A, Blake JR, Otto SR (2004) Jets in bubbles. J Eng Math 48:391–412CrossRef
108.
Lauterborn W, Lechner C, Koch M, Mettin R (2018) Bubble models and real bubbles: Rayleigh and energy-deposit cases in a Tait-compressible liquid. IMA J. Appl. Math 83(4):556–589CrossRef
109.
Supponen O, Obreschkow D, Tinguely M, Kobel P, Dorsaz N, Farhat M (2016) Scaling laws for jets of single cavitation bubbles. J Fluid Mech 802:263–293CrossRef
110.
Brujan EA, Noda T, Ishigami A, Ogasawara T, Takahira H (2018) Dynamics of laser-induced cavitation bubbles near two perpendicular rigid walls. J Fluid Mech 841:28–49CrossRef
111.
Ohl SW, Ohl CD (2016) Acoustic cavitation in a microchannel. In: Ashokkumar M et al (eds) Handbook of ultrasonics and sonochemistry. Springer Science + Business Media, Singapore, pp 99–135CrossRef
112.
Koch M, Lechner Ch, Reuter F, Köhler K, Mettin R, Lauterborn W (2016) Numerical modeling of laser generated cavitation bubbles with the finite volume and volume of fluid method, using OpenFOAM. Comput Fluids 126:71–90CrossRef
113.
Lindau O, Lauterborn W (2003) Cinematographic observation of the collapse and rebound of a laser-produced cavitation bubble near a wall. J Fluid Mech 479:327–348CrossRef
114.
Falkovich G (2011) Fluid mechanics, a short course for physicists. Cambridge University Press
115.
116.
Wang QX, Blake JR (2010) Non-spherical bubble dynamics in a compressible liquid. Part 1. Travelling acoustic wave. J Fluid Mech 659:191–224CrossRef
117.
Nowak T, Mettin R (2014) Unsteady translation and repetitive jetting of acoustic cavitation bubbles. Phys Rev E 90:033016CrossRef
118.
Hatanaka S, Hayashi S, Choi P-K (2010) Sonoluminescence of alkali-metal atoms in sulfuric acid: comparison with that in water. Jpn J Appl Phys 49:07HE01CrossRef
119.
Yasui K (2018) Acoustic cavitation and bubble dynamics. Springer Briefs in Molecular Science—Ultrasound and Sonochemistry, Springer International Publishing
Metadata
Title
Bubble Dynamics
Authors
Rachel Pflieger
Sergey I. Nikitenko
Carlos Cairós
Robert Mettin
Copyright Year
2019
Book
Characterization of Cavitation Bubbles and Sonoluminescence

Print ISBN: 978-3-030-11716-0

Electronic ISBN: 978-3-030-11717-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-11717-7_1