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Nonlinear acoustic propagation in bubbly liquids: Multiple scattering, softening and hardening phenomena

Abstract : The weakly nonlinear propagation of acoustic waves in monodisperse bubbly liquids is investigated numerically. A hydrodynamic model based on the averaged two-phase fluid equations is coupled with the Rayleigh-Plesset equation to model the dynamics of bubbles at the local scale. The present model is validated in the linear regime by comparing with the Foldy approximation. The analysis of the pressure signals in the linear regime highlights two resonance frequencies: the Minnaert frequency and a multiple scattering resonance that strongly depends on the bubble concentration. For weakly nonlinear regimes, the generation of higher harmonics is observed only for the Minnaert frequency. Linear combinations between the Minnaert harmonics and the multiple scattering resonance are also observed. However, the most significant effect observed is the appearance of softening-hardening effects that share some similarities with those observed for sandstones or cracked materials. These effects are related to the multiple scattering resonance. Downward or upward resonance frequency shifts can be observed depending on the characteristic of the incident wave when increasing the excitation amplitude. It is shown that the frequency shift can be explained assuming that the acoustic wave velocity depends on a law different from those usually encountered for sandstones or cracked materials.
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Submitted on : Friday, May 6, 2016 - 1:39:52 PM
Last modification on : Tuesday, November 16, 2021 - 5:04:00 AM
Long-term archiving on: : Tuesday, November 15, 2016 - 9:50:19 PM

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Jean-Baptiste Doc, Jean-Marc Conoir, Régis Marchiano, Daniel Fuster. Nonlinear acoustic propagation in bubbly liquids: Multiple scattering, softening and hardening phenomena. Journal of the Acoustical Society of America, Acoustical Society of America, 2016, 139 (4), pp.1703-1712. ⟨10.1121/1.4945452⟩. ⟨hal-01312438⟩

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