Propagation of acoustic wave in viscoelastic medium permeated with air bubbles |
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Authors: | Liang Bin Zhu Zhe-Min and Cheng Jian-Chun |
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Institution: | Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093, China |
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Abstract: | Based on the modification of the radial pulsation equation
of an individual bubble, an effective medium method (EMM) is presented for
studying propagation of linear and nonlinear longitudinal acoustic waves
in viscoelastic medium permeated with air bubbles. A classical theory
developed previously by Gaunaurd (Gaunaurd GC and \"{U}berall H, {\em J.
Acoust. Soc. Am}., 1978; 63: 1699--1711) is employed to verify the EMM under linear approximation
by comparing the dynamic (i.e. frequency-dependent) effective parameters,
and an excellent agreement is obtained. The propagation of longitudinal
waves is hereby studied in detail. The results illustrate that the nonlinear
pulsation of bubbles serves as the source of second harmonic wave and the
sound energy has the tendency to be transferred to second harmonic wave.
Therefore the sound attenuation and acoustic nonlinearity of the
viscoelastic matrix are remarkably enhanced due to the system's resonance
induced by the existence of bubbles. |
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Keywords: | acoustic wave viscoelastic medium bubble nonlinearity |
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