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A new look at particle statistics in laser-anemometer measurements

Published online by Cambridge University Press:  20 April 2006

Robert V. Edwards
Robert V. Edwards
Affiliation:
Chemical Engineering Department, Case Western Reserve University, Cleveland, Ohio 44106, U.S.A.
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Abstract

Many algorithms have been proposed and evaluated for dealing with laser-anemometer measurements in low particle densities since the original paper of McLaughlin & Tiederman (1973). All of them describe the effect of making a measurement whenever a particle is visible to the measurement instrument. However, in many circumstances, one wishes to sample the velocity at a constant rate–for instance, in measurement of velocity fluctuation spectra. It is shown here that the measurement statistics for this case are different from those previously discussed in the literature. The product of the particle density and the sample interval is the controlling parameter for the statistical description of the measurements. The asymptotic forms for low and high particle density-sample time products are derived.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 105 , April 1981 , pp. 317 - 325
Copyright
© 1981 Cambridge University Press

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References

Barnett, D. O. & Bentley, H. T. 1974 Statistical bias of individual realization laser velocimeters. Proc. Second Int. Workshop Laser Velocimetry. Eng. Experiment Station Bulletin No. 144, Purdue University.
Bendat, J. S. & Piersol, A. G. 1971 Random Data: Analysis and Measurement Procedures, p. 230. Wiley-Interscience.
Buchhave, P. 1975 Bias errors in individual particle measurements with the LDA-counter signal processor in the accuracy of flow measurements by laser Doppler methods. Proc. LDA-Symposium Copenhagen, p. 258–278.Google Scholar
Durst, F., Melling, A. & Whitelaw, J. H. 1976 Principles and Practice of Laser-Doppler Anemometry. Academic.
Feller, W. 1957 An Introduction to Probability Theory and its Applications, vol. 1. Wiley.
George, W. K. & Lumley, J. S. 1973 The laser-Doppler velocimeter and its application to the measurement of turbulence. J. Fluid Mech. 60, 321–362.Google Scholar
McLaughlin, D. K. & Tiederman, W. G. 1973 Biasing correction for individual realization of laser anemometer measurements in turbulent flows. Phys. Fluids 16, 2082–2088.Google Scholar
Stevenson, W. H., Doyle Thompson, H., Bremmer, R. & Roesler, T. 1980 Laser velocimeter measurements in turbulent and mixing flows - Pt. II. Tech. Rep. AFAPL- TR-2009.Google Scholar