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Acoustic streaming : ウィキペディア英語版
Acoustic streaming
Acoustic streaming is a steady current in a fluid driven by the absorption of high amplitude acoustic oscillations. This phenomenon can be observed near sound emitters, or in the standing waves within a Kundt's tube.
It is the less-known opposite of sound generation by a flow.
There are two situations where sound is absorbed in its medium of propagation:
* during propagation.〔see video on http://www.lmfa.ec-lyon.fr/perso/Valery.Botton/english/videos_streaming.html〕 The attenuation coefficient is \alpha=2\eta\omega^2/(3\rho c^3), following Stokes' law (sound attenuation). This effect is more intense at elevated frequencies and is much greater in air (where attenuation occurs on a characteristic distance \alpha^~10 cm at 1 MHz) than in water (\alpha^~100 m at 1 MHz). In air it is known as the ''Quartz wind''.
* near a boundary. Either when sound reaches a boundary, or when a boundary is vibrating in a still medium. A wall vibrating parallel to itself generates a shear wave, of attenuated amplitude within the Stokes oscillating boundary layer. This effect is localised on an attenuation length of characteristic size \delta=()^ whose order of magnitude is a few micrometres in both air and water at 1 MHz.
== Origin: a body force due to acoustic absorption in the fluid ==
Acoustic streaming is a non-linear effect.
〔Sir James Lighthill (1978) "Acoustic streaming", 61, 391, Journal of Sound and Vibration〕
We can decompose the velocity field in a vibration part and a steady part =v+\overline.
The vibration part v is due to sound, while the steady part is the acoustic streaming velocity (average velocity).
The Navier–Stokes equations implies for the acoustic streaming velocity:
:
\overline_i}+\overline \overline_j _i}=-}+\eta _i}-(\overline ).

The steady streaming originates from a steady body force f_i=-(\overline )/ that appears on the right hand side. This force is a function of what is known as the Reynolds stresses in turbulence -\overline. The Reynolds stress depends on the amplitude of sound vibrations, and the body force reflects diminutions in this sound amplitude.
We see that this stress is non-linear (quadratic) in the velocity amplitude. It is non vanishing only where the velocity amplitude varies.
If the velocity of the fluid oscillates because of sound as \epsilon\cos(\omega t), the quadratic non-linearity generates a steady force proportional to
\scriptstyle \overline=\epsilon^2/2.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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