Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. II. Case of modes 1 and m

被引:14
作者
Doinikov, Alexander A. [1 ]
Cleve, Sarah [1 ]
Regnault, Gabriel [1 ]
Mauger, Cyril [1 ]
Inserra, Claude [2 ]
机构
[1] Univ Claude Bernard Lyon 1, Univ Lyon, INSA Lyon, Ecole Cent Lyon,CNRS,LMFA,UMR 5509, F-69621 Villeurbanne, France
[2] Univ Lyon 1, Univ Lyon, Ctr Leon Berard, INSERM,LabTAU, F-69003 Lyon, France
关键词
Acoustic microstreaming - Analytical results - Arbitrary order - Bubble oscillation - General equations - Mode amplitudes - Nonspherical oscillations - Translational modes;
D O I
10.1103/PhysRevE.100.033105
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
This paper continues a study that was started in our previous paper [A. A. Doinikov et al., Phys. Rev. E 100, 033104 (2019)]. The overall aim of the study is to develop a theory for modeling the velocity field of acoustic microstreaming produced by nonspherical oscillations of an acoustically driven gas bubble. In the previous paper, general equations were derived that describe the velocity field of acoustic microstreaming produced by modes n and m of bubble oscillations. In the present paper, the above equations are solved analytically in the case that acoustic microstreaming is the result of the interaction of the translational mode (mode 1) with a mode of arbitrary order m >= 1. Solutions are expressed in terms of complex mode amplitudes, which means that the mode amplitudes are assumed to be known and serve as input data for the calculation of the velocity field of acoustic microstreaming No restrictions are imposed on the ratio of the bubble radius to the viscous penetration depth. Analytical results are illustrated by numerical examples.
引用
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页数:15
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