Oscillations of a gas pocket on a liquid-covered solid surface

被引:15
作者
Gelderblom, Hanneke [1 ]
Zijlstra, Aaldert G. [1 ]
van Wijngaarden, Leen [1 ]
Prosperetti, Andrea [1 ,2 ]
机构
[1] Univ Twente, Phys Fluids Grp, Fac Sci & Technol, JM Burgers Ctr Fluid Dynam, NL-7500 AE Enschede, Netherlands
[2] Johns Hopkins Univ, Dept Mech Engn, Baltimore, MD 21218 USA
关键词
FILLED MICROPORES; MICROBUBBLES; ULTRASOUND; BEHAVIOR;
D O I
10.1063/1.4769179
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency, damping, and interface shape of the bubble. For the liquid phase, we consider two limit cases: potential flow and unsteady Stokes flow. The oscillation frequency and interface shape are found to depend on two dimensionless parameters: the ratio of the gas stiffness to the surface tension stiffness, and the Ohnesorge number, representing the relative importance of viscous forces. We perform a parametric study and show, among others, that an increase in the gas pressure or a decrease in the surface tension leads to an increase in the resonance frequency until an asymptotic value is reached. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4769179]
引用
收藏
页数:15
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