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Model equation for the sound beam in inhomogeneous liquid

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Warianty tytułu
Konferencja
Proceedings of the 2 nd EAA International Symposium on Hydroacoustics 24-27 May 1999, Gdańsk-Jurata POLAND
Języki publikacji
EN
Abstrakty
EN
A beam propagation at inhomogeneous medium is treated in parabolic approximation. For a liquid with gas bubbles a model equation which combine Khokhlov-Zabolotskaya equation with a weak dispersion was derived. Equation with new coefficients which are revised for compressible liquid is obtained. That is essential for dynamics of bubbly liquid with small volume concentrations of bubbles. A physical realistic ranges of parameters in which the derived equation is valid are specified.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
257--262
Opis fizyczny
Bibliogr. 11 poz., rys.
Twórcy
  • Technical University of Gdańsk, ul. G. Narutowicza 11/12, 80-952 Gdańsk, POLAND
autor
  • Technical University of Gdańsk, ul. G. Narutowicza 11/12, 80-952 Gdańsk, POLAND
Bibliografia
  • 1. A. Prosperetti, The thennal behaviour of oscillating gas bubbles, 1.Fluid Mech. vol.222, pp.587-6l6, (1991).
  • 2. J. Keller, Bubble oscillations of large amplitude, J. Acoust. Soc. Am. 68(2), pp.628-633, (1980).
  • 3. L. van Wijngaarden, One dimensional flow of liquids containing smalI bubbles, J. Fluid Mech. 4, pp. 369-396, (1972).
  • 4. L. van Wijngaarden, Evolving solitons in bubbly flows, Acta Applicandae Mathematicae 39, pp. 507-516, (1995).
  • 5. A.Lugovtsov, Analytical techniques for problems of interaction of nonlinear sonic beams with nonuniform media, In proceedings of 13-th International Symposium on Nonlinear Acousties, Bergen, 28 June - 2 July, p.576-580, (1993).
  • 6. E. A. Zabolotskaya, R. V. Khokhlov, Quasipiane waves in the nonlinear acoustic field of confined beams, Sov. Phys. Acoust. 15, pp. 35-40, (1969).
  • 7. V. E Kunitsyn and O.V. Rudenko, Second harmonic generation in the field of a piston source, Sov. Phys. Acoust. 24, pp. 310-313, (1978).
  • 8. E. C. Everbach, .R. E. Apfel, An interferometric technique for BIA measurement, J. Acoust. Soc. Am. 98(6), pp.3428-3438, (1995).
  • 9. K.Zakhariash, The aeoustic methods for measurement of the nonlinearity parameter B/A of the liquid using parabolic model, In proceedings of XV-th Symposium on Hydroacoustics, Gdańsk-Jurata, 26-29 May, p.169-176, (1998).
  • 10. Sh Fujikama, T.Akamatsu, Effects of the non-equilibrium condensation of vapours on the pressure wave produced by the collapse of a bubble in a liquid, J.Fluid Mech, 97, pp.481-512 (1980).
  • 11. M. Vinogradova, O.Rudenko, A. Sukhorukov. Theory of waves, Moscow, Nauka, 1979, p.49
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-24fb00b9-af1b-4bf9-95b5-a86a924f0c0a
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