×

Über nichtlineare Schwingungen sphärisch schwingender Gasblasen in Flüssigkeiten unter Berücksichtigung der Kompressibilität des Fluides. (German) Zbl 0405.76069


MSC:

76T99 Multiphase and multicomponent flows
76Q05 Hydro- and aero-acoustics
Full Text: DOI

References:

[1] H. J. Rath,Zum Einfluß der Kompressibilität des Fluides bei sphärisch schwingenden Gasblasen in Flüssigkeiten, Ing. Archiv47, 383–390 (1978). · Zbl 0386.76087 · doi:10.1007/BF00538359
[2] C. Herring,Theory of the Pulsations of Gas Bubble Produced by an Underwater Explosion, OSRD-Report 236 (1941).
[3] W. Lauterborn, ’General and Basic Aspects of Cavitation’, inFinite-Amplitude Wave Effects in Fluids, L. Bjørnø, ed., IPC Science and Technology Press Ltd., Copenhagen, 240–244 (1974).
[4] K. J. Ebeling,Hochfrequenzholografie laser erzeugter und akustisch erzeugter Kavitationsblasen, Diss. Göttingen (1976).
[5] H. G. Flynn, ”Physics of Acoustic Cavitation in Liquids’, inPhysical Acoustics, M. P. Mason, ed., Vol. 1B, Academic Press 76, New York (1964). · Zbl 0121.45901
[6] R. T. Knapp, J. W. Daily undF. G. Hammit,Cavitation, McGraw-Hill Book Co., New York (1970).
[7] M. Minnaert,On Musical Air-bubbles and Sounds of Running Water, Phil. Mag.16, 235–248 (1933).
[8] W. Lauterborn,Eigenfrequenzen von Gasblasen in Flüssigkeiten, Acustica20, 14–20 (1968).
[9] W. Güth,Nicht lineare Schwingungen von Luftblasen in Wasser, Acustica6, 532–538 (1956).
[10] H. J. Rath,Ein Beitrag zur Klärung des Einflusses hoher Schallwechseldruckamplituden bei sphärisch kavitierenden Gasblasen in einer kompressiblen Flüssigkeit. Forschung im Ingenieurwesen45, 3 (1979). · doi:10.1007/BF02560668
[11] H. J. Rath,Zur Kinematik sphärisch kavitierender Gasblasen und Problematik der Kavitationsschwellen in einem kompressiblen Fluid, Acustica43, 1 (1979). · Zbl 0405.76069
[12] H. J. Rath,Eine analytische Lösung zur freien, nichtlinear schwingenden Gasblase in einer kompressiblen Flüssigkeit, Acta Mech. (1980) (in Druck). · Zbl 0434.76080
[13] A. Prosperetti,Nonlinear Oscillations of Gas Bubbles in Liquids: Transient Solutions and the Connection between Subharmonic Signal and Cavitation, J. Acoust. Soc. Am.57, 4, 810–821 (1975). · doi:10.1121/1.380523
[14] K. Magnus,Schwingungen, B. G. Teubner Verlag Stuttgart (1961).
[15] W. Lauterborn,Resonanzkurven von Gasblasen in Flüssigkeiten, Acustica23, 73–81 (1970).
[16] W. Lauterborn,Numerical Investigation of Nonlinear Oscillations of Gas Bubbles in Liquids, J. Acoust. Soc. Am.59, 2, 283–293 (1976). · doi:10.1121/1.380884
[17] J. W. Rayleigh,On the Pressure Developed in a Liquid during the Collapse of Spherical Cavity. Phil. Mag.6, 34, 94–98 (1917). · JFM 46.1274.01
[18] B. E. Noltkingk undE. A. Neppiras,Cavitation Produced by Ultrasonics, Proc. Phys. Soc. London B63, 674–685 (1950). · doi:10.1088/0370-1301/63/9/305
[19] H. Poritsky,The Collapse or Growth of a Spherical Bubble or Cavity in a Viscous Fluid. Proc. of the 1st U.S. Nat. Congr. Appl. Mech. New York, 813–821 (1952).
[20] R. Zurmühl,Praktische Mathematik, Springer-Verlag, Berlin-Heidelberg-New York (1965).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.