Please wait a minute...
Chinese Physics, 2006, Vol. 15(2): 412-421    DOI: 10.1088/1009-1963/15/2/030
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

Propagation of acoustic wave in viscoelastic medium permeated with air bubbles

Liang Bin (梁彬), Zhu Zhe-Min (朱哲民), Cheng Jian-Chun (程建春)
Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093, China
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 überall H, 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.
Keywords:  acoustic wave      viscoelastic medium      bubble      nonlinearity  
Received:  29 August 2005      Revised:  23 September 2005      Accepted manuscript online: 
PACS:  43.25.Ed (Effect of nonlinearity on velocity and attenuation)  
  43.25.Yw (Nonlinear acoustics of bubbly liquids)  
  43.30.Ma (Acoustics of sediments; ice covers, viscoelastic media; seismic underwater acoustics)  
Fund: Project supported by the Excellent Youth Science Foundation of China (Grant No 10125417) and the State Key Development Program of Basic Research (Grant No 51315).

Cite this article: 

Liang Bin (梁彬), Zhu Zhe-Min (朱哲民), Cheng Jian-Chun (程建春) Propagation of acoustic wave in viscoelastic medium permeated with air bubbles 2006 Chinese Physics 15 412

[1] Simulation of single bubble dynamic process in pool boiling process under microgravity based on phase field method
Chang-Sheng Zhu(朱昶胜), Bo-Rui Zhao(赵博睿), Yao Lei(雷瑶), and Xiu-Ting Guo(郭秀婷). Chin. Phys. B, 2023, 32(4): 044702.
[2] Magnetic triangular bubble lattices in bismuth-doped yttrium iron garnet
Tao Lin(蔺涛), Chengxiang Wang(王承祥), Zhiyong Qiu(邱志勇), Chao Chen(陈超), Tao Xing(邢弢), Lu Sun(孙璐), Jianhui Liang(梁建辉), Yizheng Wu(吴义政), Zhong Shi(时钟), and Na Lei(雷娜). Chin. Phys. B, 2023, 32(2): 027505.
[3] Formation of nanobubbles generated by hydrate decomposition: A molecular dynamics study
Zilin Wang(王梓霖), Liang Yang(杨亮), Changsheng Liu(刘长生), and Shiwei Lin(林仕伟). Chin. Phys. B, 2023, 32(2): 023101.
[4] Effects of adjacent bubble on spatiotemporal evolutions of mechanical stresses surrounding bubbles oscillating in tissues
Qing-Qin Zou(邹青钦), Shuang Lei(雷双), Zhang-Yong Li(李章勇), and Dui Qin(秦对). Chin. Phys. B, 2023, 32(1): 014302.
[5] Temperature and strain sensitivities of surface and hybrid acoustic wave Brillouin scattering in optical microfibers
Yi Liu(刘毅), Yuanqi Gu(顾源琦), Yu Ning(宁钰), Pengfei Chen(陈鹏飞), Yao Yao(姚尧),Yajun You(游亚军), Wenjun He(贺文君), and Xiujian Chou(丑修建). Chin. Phys. B, 2022, 31(9): 094208.
[6] Current-driven dynamics of skyrmion bubbles in achiral uniaxial magnets
Yaodong Wu(吴耀东), Jialiang Jiang(蒋佳良), and Jin Tang(汤进). Chin. Phys. B, 2022, 31(7): 077504.
[7] 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.
[8] 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.
[9] Nanobubbles produced by hydraulic air compression technique
Xiaodong Yang(杨晓东), Qingfeng Yang(杨庆峰), Limin Zhou(周利民),Lijuan Zhang(张立娟), and Jun Hu(胡钧). Chin. Phys. B, 2022, 31(5): 054702.
[10] Helium bubble formation and evolution in NiMo-Y2O3 alloy under He ion irradiation
Awen Liu(刘阿文), Hefei Huang(黄鹤飞), Jizhao Liu(刘继召), Zhenbo Zhu(朱振博), and Yan Li(李燕). Chin. Phys. B, 2022, 31(4): 046102.
[11] Effect of nonlinear translations on the pulsation of cavitation bubbles
Lingling Zhang(张玲玲), Weizhong Chen(陈伟中), Yang Shen(沈阳), Yaorong Wu(武耀蓉), Guoying Zhao(赵帼英), and Shaoyang Kou(寇少杨). Chin. Phys. B, 2022, 31(4): 044303.
[12] Nonlinear oscillation characteristics of magnetic microbubbles under acoustic and magnetic fields
Lixia Zhao(赵丽霞), Huimin Shi(史慧敏), Isaac Bello, Jing Hu(胡静), Chenghui Wang(王成会), and Runyang Mo(莫润阳). Chin. Phys. B, 2022, 31(3): 034302.
[13] Enrichment of microplastic pollution by micro-nanobubbles
Jing Wang(王菁), Zihan Wang(王子菡), Fangyuan Pei(裴芳源), and Xingya Wang(王兴亚). Chin. Phys. B, 2022, 31(11): 118104.
[14] 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.
[15] 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.
No Suggested Reading articles found!