Please wait a minute...
Chin. Phys. B, 2009, Vol. 18(9): 3909-3917    DOI: 10.1088/1674-1056/18/9/049
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

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%.
Keywords:  nonlinearity      cylindrical micropores      equivalent medium approach      multiple scattering  
Received:  15 October 2008      Revised:  16 February 2009      Accepted manuscript online: 
PACS:  43.20.Hq (Velocity and attenuation of acoustic waves)  
  43.25.Ed (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

[1] Influence of optical nonlinearity on combining efficiency in ultrashort pulse fiber laser coherent combining system
Yun-Chen Zhu(朱云晨), Ping-Xue Li(李平雪), Chuan-Fei Yao(姚传飞), Chun-Yong Li(李春勇),Wen-Hao Xiong(熊文豪), and Shun Li(李舜). Chin. Phys. B, 2022, 31(6): 064201.
[2] Generation of mid-infrared supercontinuum by designing circular photonic crystal fiber
Ying Huang(黄颖), Hua Yang(杨华), and Yucheng Mao(毛雨澄). Chin. Phys. B, 2022, 31(5): 054211.
[3] Measurement-device-independent quantum secret sharing with hyper-encoding
Xing-Xing Ju(居星星), Wei Zhong(钟伟), Yu-Bo Sheng(盛宇波), and Lan Zhou(周澜). Chin. Phys. B, 2022, 31(10): 100302.
[4] Anti-$\mathcal{PT}$-symmetric Kerr gyroscope
Huilai Zhang(张会来), Meiyu Peng(彭美瑜), Xun-Wei Xu(徐勋卫), and Hui Jing(景辉). Chin. Phys. B, 2022, 31(1): 014215.
[5] Microcrack localization using a collinear Lamb wave frequency-mixing technique in a thin plate
Ji-Shuo Wang(王积硕), Cai-Bin Xu(许才彬), You-Xuan Zhao(赵友选), Ning Hu(胡宁), and Ming-Xi Deng(邓明晰). Chin. Phys. B, 2022, 31(1): 014301.
[6] Multiple scattering and modeling of laser in fog
Ji-Yu Xue(薛积禹), Yun-Hua Cao(曹运华), Zhen-Sen Wu(吴振森), Jie Chen(陈杰), Yan-Hui Li(李艳辉), Geng Zhang(张耿), Kai Yang(杨凯), and Ruo-Ting Gao(高若婷). Chin. Phys. B, 2021, 30(6): 064206.
[7] Radiation force and torque on a two-dimensional circular cross-section of a non-viscous eccentric layered compressible cylinder in acoustical standing waves
F G Mitri. Chin. Phys. B, 2021, 30(2): 024302.
[8] Optical solitons supported by finite waveguide lattices with diffusive nonlocal nonlinearity
Changming Huang(黄长明), Hanying Deng(邓寒英), Liangwei Dong(董亮伟), Ce Shang(尚策), Bo Zhao(赵波), Qiangbo Suo(索强波), and Xiaofang Zhou(周小芳). Chin. Phys. B, 2021, 30(12): 124204.
[9] Propagations of Fresnel diffraction accelerating beam in Schrödinger equation with nonlocal nonlinearity
Yagang Zhang(张亚港), Yuheng Pei(裴宇恒), Yibo Yuan(袁一博), Feng Wen(问峰), Yuzong Gu(顾玉宗), and Zhenkun Wu(吴振坤). Chin. Phys. B, 2021, 30(11): 114209.
[10] Generating Kerr nonlinearity with an engineered non-Markovian environment
Fei-Lei Xiong(熊飞雷), Wan-Li Yang(杨万里), Mang Feng(冯芒). Chin. Phys. B, 2020, 29(4): 040302.
[11] Unconventional photon blockade in a three-mode system with double second-order nonlinear coupling
Hong-Yu Lin(林宏宇), Hui Yang(杨慧), and Zhi-Hai Yao(姚治海). Chin. Phys. B, 2020, 29(12): 120304.
[12] Dynamics of two levitated nanospheres nonlinearly coupling with non-Markovian environment
Xun Li(李逊), Biao Xiong(熊标), Shilei Chao(晁石磊), Jiasen Jin(金家森), Ling Zhou(周玲). Chin. Phys. B, 2019, 28(5): 050302.
[13] Modeling and identification of magnetostrictive hysteresis with a modified rate-independent Prandtl-Ishlinskii model
Wei Wang(王伟), Jun-en Yao(姚骏恩). Chin. Phys. B, 2018, 27(9): 098503.
[14] Rapid measurement of transmission matrix with the sequential semi-definite programming method
Zhenfeng Zhang(张振峰), Bin Zhang(张彬), Qi Feng(冯祺), Huimei He(何惠梅), Yingchun Ding(丁迎春). Chin. Phys. B, 2018, 27(8): 084201.
[15] Exact solitary wave solutions of a nonlinear Schrödinger equation model with saturable-like nonlinearities governing modulated waves in a discrete electrical lattice
Serge Bruno Yamgoué, Guy Roger Deffo, Eric Tala-Tebue, François Beceau Pelap. Chin. Phys. B, 2018, 27(12): 126303.
No Suggested Reading articles found!