Simultaneous measurement of acoustic and streaming velocities in a standing wave using laser Doppler anemometry

Journal of the Acoustical Society of America

Volumn 117, Issue 4 I, 2005, Pages 1828-1838

  Thompson, Michael W ^a,b   Atchley, Anthony A ^a  

^a The Pennsylvania State University   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE EFFECTS; ANEMOMETERS; ERROR ANALYSIS; FLUID DYNAMICS; FREQUENCIES; LASER APPLICATIONS; TEMPERATURE DISTRIBUTION; VISCOSITY;

AIR COLUMN; FLUID VELOCITY; LASER DOPPLER ANEMOMETRY (LDA); ROTT THEORY; STREAMING VELOCITY;

ACOUSTIC WAVE VELOCITY;

ACOUSTICS; ANEMOMETRY; ARTICLE; ERROR; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; STATISTICAL SIGNIFICANCE; TEMPERATURE DEPENDENCE; VELOCITY; VISCOSITY;

EID: 17644378762     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1861233     Document Type: Article

References (30)

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21. If the peak-to-peak particle displacements are on the order of the fringe volume, then more complex signal processing may be required, as discussed by Hann and Greated (Ref. 22) and Valière et al. (Ref. 23).
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24. If the peak-to-peak particle displacements are much smaller than the fringe spacing - as occurs in the measurement of acoustic streaming generated in an ultrasound beam [see, for example, the work by Duck et al. (Ref. 25)] - then the LDA/BSA system is insensitive to the acoustic velocity, and the streaming velocity is measured directly, which greatly simplifies the signal-processing requirements.
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26. Thompson and Atchley showed in a previous analysis (Ref. 7) that the addition of transit-time (or residence-time) weighting (Ref. 27) to the FA method does not improve the agreement between the observed streaming velocities and the theory of Rott (Ref. 8) (see Sec. II). Additionally, they showed that if the time-equivalent phase-bin width is set equal to the BSA record interval (see Sec. IV), then their proposed recursive algorithm (Ref. 6) performs no better than the FA method, on which it is based.
27. P. Buchhave, W. K. George, Jr., and J. L. Lumley, "The measurement of turbulence with the laser-Doppler anemometer," Annu. Rev. Fluid Mech. 11, 443-503 (1979).
28. W. L. Nyborg, "Acoustic streaming," in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, San Diego, 1998), Chap. 7, pp. 207-231.
29. This method was used by Biwa et al. (Ref. 20) in their study of acoustic-streaming velocity generated by planar traveling waves in a cylindrical waveguide. In such a traveling wave, the physical difference between the Eulerian and Lagrangian streaming velocities is substantial. This difference is in addition to any instrumentation error that is present due to the LDA/BSA system. Even so, the Lagrangian streaming velocity will still be accurately determined using the method developed in the present study.
30. The measurements of Eulerian streaming velocity shown in Fig. 8 were reported previously by Thompson and Atchley (Refs. 6, 7). In the present study, the sampled velocity data are reanalyzed in order to determine the Lagrangian streaming velocities.