Theoretical Studies of Nonlinear Generation Efficiency in a Bubble Layer

• Autorzy: Baranowska A.
• Języki publikacji: EN

Abstrakty

EN

The aim of the paper is a theoretical analysis of propagation of high-intensity acoustic waves throughout a bubble layer. A simple model in the form of a layer with uniformly distributed mono-size spherical bubbles is considered. The mathematical model of the pressure wave’s propagation in a bubbly liquid layer is constructed using the linear non-dissipative wave equation and assuming that oscillations of a single bubble satisfy the Rayleigh-Plesset equation. The models of the phase sound speed, changes of resonant frequency of bubbles and damping coefficients in a bubbly liquid are compared and discussed. The relations between transmitted and reflected waves and their second harmonic amplitudes are analyzed. A numerical analysis is carried out for different environmental parameters such as layer thicknesses and values of the volume fraction as well as for different parameters of generated signals. Examples of results of the numerical modeling are presented.

Słowa kluczowe

EN

nonlinear acoustics; bubble layer; transmitted and reflected waves

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2012
• Tom: Vol. 37, No. 3
• Strony: 287--294
• Opis fizyczny: Bibliogr. 9 poz., wykr.

Twórcy

autor

Baranowska A.

• Faculty of Applied Physics and Mathematics Gdańsk University of Technology Narutowicza 11/12, 80-233 Gdańsk, Poland,

Bibliografia

• 1. Baranowska A. (2011), Numerical modeling of the nonlinear wave propagation in a bubble layer, Hydroacoustics, 14, 9-16.
• 2. CommanderW., Prosperetti A. (1989), Linear pressure waves in bubbly liquids: Comparison between theory and experiments, Journal of the Acoustical Society of America, 85, 732-746.
• 3. Druzhinin O.A., Ostrovsky L.A., Prosperetti A. (1996), Low-frequency acoustic wave generation in a resonant bubble layer, Journal of the Acoustical Society of America, 100, 6, 3570-3580.
• 4. Hamilton M.F., Blackstock D.T. [Eds.] (1998), Nonlinear Acoustics, Academy Press, San Diego.
• 5. Karpov S., Prosperetti A., Ostrovsky L. (2003), Nonlinear wave interactions in bubble layers, Journal of the Acoustical Society of America, 113, 3, 1304-1316.
• 6. Leighton T.G. (2008), The Rayleigh-Plesset equation in terms of volume with explicit shear losses, Ultrasonics, 48, 85-90.
• 7. Perelomova A., Wojda P. (2010), Studies of nonlinear sound dynamics in fluids based on the caloric equation of state, Archives of Acoustics, 35, 4, 619-633.
• 8. Vanhille C., Campos-Pozuelo C. (2008), Nonlinear ultrasonic propagation in bubbly liquids: a numerical model, Ultrasounds in Medicine and Biology, 34, 5, 792-808.
• 9. Ye Z., Ding L. (1995), Acoustic dispersion and attenuation relations in bubbly mixture, Journal of the Acoustical Society of America, 98, 1629-1636.