The estimation ot virial coefficients via the third harmonics measurements

• Autorzy: Leble S. B. , Zachariasz K. , Vereshchagina I. S.
• Konferencja: International Symposium on HYDROACOUSTICS AND ULTRASONICS EAA Symposium (formerly 13th FASE Symposium) Gdańsk-Jurata, 12-16 May 1997
• Języki publikacji: EN

Abstrakty

EN

The derivation of the next nonlinear term of the KZK equation is done within original perturbation scheme on the base of the virial expansion for thermic equation of state. We also derived equations for second and third harmonic components in the nearfield of the sound wave generated by a piston transducer. Calculation scheme for a numerical estimation of the integrals for the fundamental and second harmonics is proposed as well as for the averaged third harmonic component. Some results of performed calculations are given for the illustration of the method possibility and comparison with direct finite difference solutions of the KZK equation.

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 1997
• Tom: Vol. 1
• Strony: 83--88
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

Twórcy

autor

Leble S. B.

• Technical University of Gdańsk, ul. G. Narutowicza 11/12, 80-952 Gdańsk, Poland
• Kaliningrad State University Al.Nevskij s. 14236041 Kaliningrad, Russia

autor

Zachariasz K.

• Technical University of Gdańsk, ul. G. Narutowicza 11/12, 80-952 Gdańsk, Poland

autor

Vereshchagina I. S.

• Kaliningrad State University Al.Nevskij s. 14236041 Kaliningrad, Russia

Bibliografia

• [1] S. Nachef, D. Cathignol, J.N. Tjøtta, AM. Berg, S. Tjøtta, (1995), lnvestigation of a high intensity sound beam from a piane transducer. Experimental and theoretical results, J. Acoust. Soc. Aro. 98, 2303-2323. 88
• [2] K. Beissner and S.N. Makarov, (1995), Acoustic energy quantities and radiation force in higher approximation,J. Acoust. Soc. Am. 97, 898-905.
• [3] V.E. Kunitsyn and O. V. Rudenko, (1978), Second harmonic generation in the field of a piston radiator, Sov. Phys. Acoust., 24, 310-313.
• [4] 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.
• [5] E. A Zabolotskaya, R V. Khokhlov, (1969), Quasi-plane waves in the nonlinear acoustic field of confined beams, Sov. Phys. Acoust., 15, 35-40.
• [6] S. P. Kshevetsky, S. B. Leble, (1995), Mathematical methods of theoretical physics, Kaliningrad Univ. Press.
• [7] K. Zachariasz, A. Bangash., (1996), Numerical and experimental investigation of nonlinear distortions in the nearjield of an actual ultrasonic transducer. Proc. of the XIIIth Symposium on Hydroacoustics, Gdynia-Jurata. 265-272.