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arXiv 1409.2797physics.flu-dyn
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声应力和流场概念的不确定性

Inconsistencies in the Notions of Acoustic Stress and Streaming

Clifford Chafin

摘要:

无粘流体动力学通过压力和其他通常为无旋的外力来调节力。声致力必须与这种压力场产生的力一致。使用“声应力”被证明与这样的分析不一致,一般产生于数学上的权宜之计,但这种系统的整体概念化差。这一论点进一步支持了在许多这样的方法的实验协议差。动量是声波的一种固有性质,这一概念同样也是自相矛盾的。通过分析,包括粘性和衰减,我们得出结论,所有的声流必须产生的涡在驱动器或其他固体边界的粘性力,并与声应力的计算应取代使用非线性校正的整体压力场。

英文摘要:

Inviscid hydrodynamics mediates forces through pressure and other, typically irrotational, external forces. Acoustically induced forces must be consistent with arising from such a pressure field. The use of "acoustic stress" is shown to have inconsistencies with such an analysis and generally arise from mathematical expediency but poor overall conceptualization of such systems. This contention is further supported by the poor agreement of experiment in many such approaches. The notion of momentum as being an intrinsic property of sound waves is similarly found to be paradoxical. Through an analysis that includes viscosity and attenuation, we conclude that all acoustic streaming must arise from vorticity introduced by viscous forces at the driver or other solid boundaries and that calculations with acoustic stress should be replaced with ones using a nonlinear correction to the overall pressure field.

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