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Stable arrays of resonant bubbles in a 1‐MHz standing‐wave acoustic field

 

作者: Douglas L. Miller,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1977)
卷期: Volume 62, issue 1  

页码: 12-19

 

ISSN:0001-4966

 

年代: 1977

 

DOI:10.1121/1.381494

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

As observed microscopically, bubbles in a standing‐wave acoustic field move to the pressure nulls and oscillate, in elliptical orbits, about a common axis. The orbits of individual bubbles are equally spaced about 100 μm apart along the axis, forming a linear array. These arrays form in tap water for peak pressure amplitudes of 10–20 bar, but persist at levels as low as 1.5 bar. The 7‐μm diameter of the bubbles is approximately the theoretical size for resonant air bubbles in water driven at the 986 kHz frequency of the field. The radius of the orbits is approximately inversely proportional to the pressure gradient at the pressure null, with proportionality constant 0.25 bar. In a simplified model of the orbit phenomenon the expected proportionality constant is given by (2)1/2ps, wherepsis the threshold pressure amplitude for rectified diffusion and has the value 0.18 bar. Calculations ofps, based on current theories for rectified diffusion, are in substantial agreement with the this value. The period of the orbital motion is about 1 msec for an orbit radiusBof 35 μm, and increases to about 6.5 msec forB=100 μm. Two adjacent bubbles are synchronized in their orbits approximately 90° out of phase, as required for stability of the arrays under Bjerknes forces.

 

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