Generation conditions and nonlinear sound directed propagation in inhomogeneous medium

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

Abstrakty

EN

Boundary (and initial) conditions choice for the effective generation and propagation of nonlinear sound in a stratified medium is studied. The adjustment to a medium type is introduced via a choice of equations of state. Liquid, liquid with bubbles and gas cases are considered. Model propagation equations are derived for the special cases of plane directed waves. The application of the conditions in two-dimensional version (three-dimensional with the cylindric symmetry) is discussed and some test calculations of solutions are performed numerically. A good shape and direction conservation in a weak nonlinear conditions is discovered for a triangular initial wave from low frequency range.

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 1997
• Tom: Vol. 1
• Strony: 89--94
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Perelomova A. A.

• General Physics Department, Kaliningrad State University, Kalinigrad 236041, A.Nevsky st. 14, Russia

autor

Leble S. B.

• Kaliningrad State University Al.Nevskij s. 14236041 Kaliningrad, Russia
• Theoretical and Mathematical Physics Department, Gdansk Technical Univetsity, ul. G.Narutowicza, 11/12 80-952 Gdansk- Wrzeszcz, Poland

Bibliografia

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• 3. Korteweg D.J. ,de Vries G., 1895, On the change of form of 10ng waves advancing in a rectangular canal and a new type of stationary waves, Phil.Mag. v.39. 422-443.
• 4. Bullough R.K, Caudrey P.J. (eds), 1980, SoIitons,351, Springer-Verlag,Heidelberg.
• 5. Enflo B.O., 1996,Saturatian of nanlinear sphericaI and cylindrical sound waves. J.Acoust. Soc. Am., v. 99, 1960- 1964.
• 6. PereIomova A.A., 1993, The Construction of Directed Disturbancies in One- Dimensional IsothermaI Atmosphere Model, Izv. RAN, Physics of Atm. Ocean, v.29, N1, 47-50.
• 7. Arutiunian G.M. ,1994, Thermodynamical theory of heterogeneous systems, 211, Fizmatgiz Moscow.
• 8. Brezhnev Yu.V., Leble S.B., Perelomova A.A. ,1993, Nonlinear Effects and One- Dimensional Sound Propagation in Inhomogenios Gas Medium, Physical Express, v.1, N 2, 29-37.
• 9. Sailing He., 1992, Factorization of a dissipative wave equation and the Green functians technique for axiaIly symmetric fields in a stratified slab, J. Math. Phys. v.33. N 3, 953-966.