On the volume oscillations of a tethered bubble

被引:31
作者
Maksimov, AO
机构
[1] Russian Acad Sci, Far Eastern Branch, Pacific Oceanol Inst, Vladivostok 690041, Russia
[2] Russian Acad Sci, Far Eastern Branch, Inst Marine Technol Problem, Vladivostok 690041, Russia
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1016/j.jsv.2004.05.021
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The behaviour of a gas bubble tethered to a rigid plane boundary in an oscillatory pressure field is investigated by means of image theory. The inversion method is utilised to obtain an exact solution. This method is based on invariance of the Laplace equation to conformal transformations. The modified Rayleigh equation for the volume pulsation has been derived. It follows directly from this equation that the fundamental - the so-called 'Minnaert' frequency - for the tethered bubble depends on the contact angle and this dependence is not monotonic. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:915 / 926
页数:12
相关论文
共 19 条
[1]   Electrochemical detection of faraday waves on the surface of a gas bubble [J].
Birkin, PR ;
Watson, YE ;
Leighton, TG ;
Smith, KL .
LANGMUIR, 2002, 18 (06) :2135-2140
[2]   Acoustic cavitation: the fluid dynamics of non-spherical bubbles [J].
Blake, JR ;
Keen, GS ;
Tong, RP ;
Wilson, M .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 357 (1751) :251-267
[3]   CAVITATION BUBBLES NEAR BOUNDARIES [J].
BLAKE, JR ;
GIBSON, DC .
ANNUAL REVIEW OF FLUID MECHANICS, 1987, 19 :99-123
[4]   TRANSIENT CAVITIES NEAR BOUNDARIES .1. RIGID BOUNDARY [J].
BLAKE, JR ;
TAIB, BB ;
DOHERTY, G .
JOURNAL OF FLUID MECHANICS, 1986, 170 :479-497
[5]  
Cole RH, 1948, Underwater Explosions, DOI DOI 10.1063/1.3066176
[6]   THE MECHANISM OF SUBHARMONIC ULTRASOUND MODULATION BY FORCIBLY OSCILLATED BUBBLES [J].
HARDWICK, AJ .
ULTRASONICS, 1995, 33 (04) :341-343
[7]  
KOBELEV YA, 1984, SOV PHYS ACOUST+, V30, P427
[8]  
Landau L. D., 1982, Electrodynamics of Continuous Media, V8
[9]   The bubble mechanism for methane transport from the shallow sea bed to the surface: A review and sensitivity study [J].
Leifer, I ;
Patro, RK .
CONTINENTAL SHELF RESEARCH, 2002, 22 (16) :2409-2428
[10]   Comparison of the abilities of eight acoustic techniques to detect and size a single bubble [J].
Leighton, TG ;
Phelps, AD ;
Ramble, DG ;
Sharpe, DA .
ULTRASONICS, 1996, 34 (06) :661-667