The nonlinear propagation of acoustic waves in a viscoelastic medium containing cylindrical micropores |
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Authors: | Feng Yu-Lin Liu Xiao-Zhou Liu Jie-Hui and Ma Li |
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Institution: | Key Laboratory of Modern Acoustics, Ministry of Education, Institute of Acoustics, Nanjing University, Nanjing 210093, China; Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract: | Based on an equivalent medium approach, this paper presents a
model describing the nonlinear propagation of acoustic waves in
a viscoelastic medium containing cylindrical micropores. The
influences of pores' nonlinear oscillations on sound
attenuation, sound dispersion and an equivalent acoustic nonlinearity
parameter are discussed. The calculated results show that the
attenuation increases with an increasing volume fraction of
micropores. The peak of sound velocity and attenuation occurs at the
resonant frequency of the micropores while the peak of the
equivalent acoustic nonlinearity parameter occurs at the half of the
resonant frequency of the micropores. Furthermore, multiple
scattering has been taken into account, which leads to a
modification to the effective wave number in the equivalent medium
approach. We find that these linear and nonlinear acoustic
parameters need to be corrected when the volume fraction of
micropores is larger than 0.1%. |
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Keywords: | nonlinearity cylindrical
micropores equivalent medium approach multiple scattering |
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