The nonlinear propagation of acoustic waves in a viscoelastic medium containing cylindrical micropores
Feng Yu-Lin(冯雨霖)a), Liu Xiao-Zhou(刘晓宙)a)† , Liu Jie-Hui(刘杰惠)a), and Ma Li(马力)b)
a Key Laboratory of Modern Acoustics, Ministry of Education, Institute of Acoustics, Nanjing University, Nanjing 210093, China; b Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
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%.
Received: 15 October 2008
Revised: 16 February 2009
Accepted manuscript online:
(Effect of nonlinearity on velocity and attenuation)
Fund: Project supported
by the National Natural Science Foundation of China (Grant No
10674066) and State Key Laboratory of Acoustics
(Grant No 200802).
Cite this article:
Feng Yu-Lin(冯雨霖), Liu Xiao-Zhou(刘晓宙), Liu Jie-Hui(刘杰惠), and Ma Li(马力) The nonlinear propagation of acoustic waves in a viscoelastic medium containing cylindrical micropores 2009 Chin. Phys. B 18 3909
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