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Virial coefficients from cubic KZK

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Konferencja
Proceedings of the 2 nd EAA International Symposium on Hydroacoustics 24-27 May 1999, Gdańsk-Jurata POLAND
Języki publikacji
EN
Abstrakty
EN
We start from the cubic KZK equation for ultrasonics beam that accounts first, second and third powers of density in pressure Taylor series expansion. In a condition of moderate amplitude and nearfield one can use approximate solutions provided by perturbation method including terms resonant to the multiple frequencies on a transducer. We consider three resonant harmonics within Rayleigh distance range. The second and third harmonics averaged over the beam cross-section are expressed in terms of some standard integrals and nonlinear constants. Fourier transforms of a signal on a receiver are equalized to the results of the evaluation that give equations for the non-linear constants determination. This in tum allows to compute constants B/A and C/A of the equation of state (virial expansion).
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
251--256
Opis fizyczny
Bibliogr. 12 poz., tab.
Twórcy
autor
  • Technical University of Gdańsk, ul. G. Narutowicza 11112, 80-952 Gdańsk, POLAND
  • Kaliningrad State University, Al.Nevskij str. 14,236041 Kaliningrad, RUSSIA
  • Kaliningrad State University, Al.Nevskij str. 14,236041 Kaliningrad, RUSSIA
Bibliografia
  • 1. E. A. Zabolotskaya, R. V. Khokhlov, (1969), Quasi-piane waves in the nonlinear acoustic field of confined beams, Sov. Phys. Acoust., 15, 35-405.
  • 2. S. B. Leble, K. Zachariasz, I.S. Vereshchagina . (1996), The estimation of virial coefficients via the third harmonics measurements, Hydroacoustics and Ultrasonics (EAA Symposium), Ed. A.Stepnovski and E. Kozaczka, Gdansk,83-88.
  • 3. S. Nachef, D. Cathignol, J.N. Tjøtta, A.M. Berg, S. Tjøtta, (1995), Investigation of a high intensity sound bearn from a piane transducer. Experirnental and theoretical results, J. Acoust. Soc. Am. 98, 2303-2323.
  • 4. A.Berg, S.Tjøtta, (1997) Higher order nonlinearity in ultrasound beam propagation, in 20th: Scandinavian Symposium on Physical Acoustics, Ustaoset.
  • 5. K. Beissner and S.N. Makarov, (1995), Acoustic energy quantities and radiation force in higher approximation, J. Acoust. Soc. Am. 97, 898- 905.
  • 6. K. Zachariasz. Ph.D. Theses, Technical University of Gdansk, 1998.
  • 7. S.B. Leble, I.S. Vereshchagina, Khokhlov -Zabolotskaya-Kuznetsov equation with cubic termand virial coefficients. Submitted to Acta Acustica.
  • 8. V.E. Kunitsyn and O.V. Rudenko, (1978), Second harmonic generation in the field of a piston radiator, Sov. Phys. Acoust., 24, 310- 313.
  • 9. S. Leble and K. Zachariasz, (1996), Multiple frequencies contributions of nearfield sound diffraction from uniformly excited piston, Proc. of the XIIIth Symposium on Hydroacoustics, Gdynia-Jurata, 165-172.
  • 10. W.P.Mason, Physical acoustics,v.II, Acad, Press, New York&London,1965.
  • 11. O.V. Rudenko, A.A Sukhorukov Beam diffraction in cubic-nonlinear media without dispersion. Acoust. Zhurnal 1995, 41, p.822-827. (in Russian).
  • 12. S.Harrington, P. Poole, F. Sciorino, H. E. Stanley , "Equation of State of Supercooled Water Simulated Using the Extended Simple Point Charge Intermolecular Potential" ,J. Phys.Chem., 107 (18), 1997, pp 7443-7450.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c1efbacb-edd0-40bd-ab9c-60d981616ae4
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