Abstract (Invited) |
Measurement of Rayleigh Streaming in
High-Amplitude Standing Waves
A.A.Atchley, M.W.Thompson (Graduate
Program in Acoustics, The Pennsylvania State University, State College, PA,
USA)
e-mail:
atchley@psu.edu
This
investigation is motivated by the desire to better understand Rayleigh
streaming in thermoacoustic engines. While searches of archived literature have
yielded many theoretical analyses of Rayleigh streaming, surprisingly few
experimental investigations have been found. Furthermore, none of the
experimental works found contain a thorough, quantitative comparison to theory
in the parameter ranges of greatest interest. It has been pointed out [see for
example, Menguy and Gilbert, Acustica 86, 249-259 (2000)] that nonlinear
effects due to fluid inertia must be taken into account for streaming
velocities as small as a few mm/s in ducts having diameters on the order of 1
cm, and in sound fields with frequencies and sound levels on the order of 1 kHz
and 145 dB, respectively. We present laser Doppler anemometry measurements of
Rayleigh streaming is cylindrical pipes for a range of Reynolds numbers and
ratios of pipe radius to wavelength. The measured streaming velocities outside
the boundary layer agree reasonable well with classical (i.e., slow streaming)
theoretical predictions when the pipe is driven at low amplitudes. However,
they deviate significantly from such predictions when the tube is driven at
high amplitudes, as suggested by theories of nonlinear acoustic streaming.
[Work supported by the Office of Naval Research.]
Section
: 7