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Theoretical analysis of the finite amplitude waves interactionproblem for two types of piston

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EN
Abstrakty
EN
The aim of the paper was the numerical investigations of the finite amplitude waves interaction in water. The problem was considered as an axial symmetric one. It was assumed that circular piston and ring-shaped piston were the source of two different frequency finite amplitude waves. The mathematical model was built on the basis of the Khokhlov - Zabolotskaya - Kuznetsov (KZK) equation. To solve the problem the finite-difference method was applied. The mathematical model and some results of numerical investigations are presented. The spectrum of the wave for fixed distances from the source, the pressure amplitude changes for different frequency waves as a function of distance from the source and pressure amplitude distribution for fixed distances from the piston were investigated.
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Strony
1--8
Opis fizyczny
Bibliogr. 8 poz., rys.
Twórcy
  • Gdansk University of Technology, Department of Mathematical and Numerical Analysis ul. G. Narutowicza 11/12, 80-952 Gdansk, Poland
Bibliografia
  • 1. N.S. Bakhvalov, Ya.M. Zhileikin, E.A. Zabolotskaya, Nonlinear theory of sound beam, Nauka, Moscow 1982 (in Russian).
  • 2. A. Baranowska, Theoretical analysis of the finite amplitude waves interaction problem, Acta Acustica united with Acustica, 88, 780-782, 2002.
  • 3. H.O. Barktey, D.J. Leahy, Farfield performance of parametric transducer, J. Acoust. Soc. Am., 25, 3, 539-546, 1974.
  • 4. T. Fjield, X. Fan, K. Hynynen, A parametric study of the concentric-ring transducer design for MRI guided ultrasound surgery, J. Acoust. Soc. Am., 100, 1220-1230, 1996.
  • 5. M.B. Moffet, W.L. Konrad, L.F.Carlton, Experimental demonstration of the absorption of sound by sound in water, J. Acoust. Soc. Am., 63,4,1048-1051,1978.
  • 6. J.N. Tjotta, S. Tjotta: Effects of focusing on the nonlinear interaction between two collinear finite amplitude sound beams, J. Acoust. Soc. Am., 89, 3 1017-1027, 1991.
  • 7. V.A. Voronin, S.P. Tarasov, V.l. Timoshenko, Application of parametric arrays in Marine research, Sov. Phys. Acoust., 41,3,405-409,1995 (in Russian).
  • 8. L.K. Zarembo, V.l. Timoshenko, Nonlinear acoustic, Moscow University Press, Moscow 1984 (in Russian).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-030cb457-06ad-4ad0-9ddb-3ce705d0d8c0
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