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第 37 卷 第 5 期 Vol. 37, No.5
2018 年 9 月 Journal of Applied Acoustics September, 2018

纪念应崇福院士诞辰100周年

声波在含气泡液体中传播特性及产热效应 ∗

袁 月 1† 苗博雅 2 安 宇 1

(1 清华大学 北京 100084)

(2 中国船舶工业系统工程研究院 北京 100036)
摘要 该文对含气泡液体中的声波方程采用线性分析方法，研究了超声波在含气泡液体中的传播特性以及产
热效应。当声波在含气泡液体中传播时，气泡的存在会影响声波的传播，在声波频率接近气泡共振频率的频段
内，声信号在液体中传播时剧烈衰减，而在声波频率远远高于或低于气泡共振频率时，声波的传播基本不受影
响。在接近气泡共振的频段内，声波耗散的能量最终转化为热能。同时液体中的气泡会在声波驱动下径向振
动并辐射声波，伴随气泡壁在液体中的粘滞振动，热量随之产生。结果表明，两种产热机制分别在不同频段起
主导作用。
关键词 含气泡液体，产热效应，传播特性
中图法分类号: O424 文献标识码: A 文章编号: 1000-310X(2018)05-0717-05
DOI: 10.11684/j.issn.1000-310X.2018.05.016

Investigation on sound transmission and heat production in bubbly liquid

YUAN Yue 1 MIAO Boya 2 AN Yu 1

(1 Tsinghua University, Beijing 100084, China)
(2 Systems Engineering Research Institute, Beijing 100036, China)

Abstract Using a linear analysis of a nonlinear equation governing soundwave propagation in bubbly liquids,
this paper studies the propagation character and heat production of ultrasound wave in bubbly liquid. The
bubbles have a big influence on the propagation of soundwaves. When the ultrasound frequency is close to
the resonant frequency of bubbles, the acoustic dissipation absorbing effect of the bubbly liquid is strong, and
the energy is mainly dissipated in the form of heat. On the other hand, ultrasound wave drives bubbles to
pulsate while propagating through the bubbly liquid, as a consequence, bubbles radiate soundwaves. At the
same time, the viscous dissipation at the interface between liquid and gas is supposed to contribute to heat
production. As the results show, these two different heating mechanisms are dominant in different frequency
ranges respectively.
Key words Bubbly liquid, Heat production, Propagation character

2018-06-10 收稿; 2018-07-03 定稿
国家自然科学基金项目 (11334005)
∗
作者简介: 袁月 (1992- ), 女, 辽宁锦州人, 博士研究生, 研究方向: 声空化。
† 通讯作者 E-mail: anyuw@mail.tsinghua.edu.cn