INSERM U930 CNRS ERL 3106, Universite Francois Rabelais, CHU Bretonneau, 2 Boulevard Tonnelle, 37044 Tours Cedex 9, France.
J Acoust Soc Am. 2010 Feb;127(2):703-9. doi: 10.1121/1.3279793.
The problem of acoustic microstreaming that develops around a gas bubble in an ultrasound field is considered. It is shown that the solutions obtained previously by Wu and Du [(1997). J. Acoust. Soc. Am. 101, 1899-1907], which are based on the assumption that viscous effects are essential only within a thin boundary layer while beyond the boundary layer the liquid can be considered to be inviscid, lead to a severe underestimation of the power of acoustic streaming. An improved theory is suggested that corrects the errors of the previous theory and extends its limits. The proposed theory treats the entire bulk of the liquid outside the bubble and the gas inside the bubble as viscous heat-conducting fluids. No restrictions are imposed on the size of the bubble relative to the viscous, thermal, and sound wavelengths in the ambient liquid and those in the internal gas medium. All modes of the bubble's motion (volume pulsation, translation, and shape oscillations) are taken into account. Expressions for the radial and tangential stresses produced by the acoustic streaming are also derived. Numerical examples for parameters of interest are presented.
研究了在超声场中气泡周围产生的声微流问题。结果表明，Wu 和 Du[1997]先前基于假设粘性效应仅在薄边界层内是重要的，而在边界层之外可以认为液体是无粘性的，从而得到的解严重低估了声流功率，Wu 和 Du[1997]先前的解是错误的。提出了一种改进的理论，该理论纠正了先前理论的错误，并扩展了其适用范围。所提出的理论将整个气泡外的液体和气泡内的气体都视为粘性热传导流体。对与周围液体中的粘性、热和声波波长以及内部气体介质中的粘性、热和声波波长相比，气泡的大小没有任何限制。考虑了气泡的所有运动模式（体积脉动、平移和形状振荡）。还推导了由声流产生的径向和切向应力的表达式。给出了感兴趣参数的数值示例。
[1] Wu, T.S., Du, H.B., 1997. J. Acoust. Soc. Am. 101, 1899-1907.
