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Some measurements of multi-point time correlations in grid turbulence

Published online by Cambridge University Press:  29 March 2006

C. W. Van Atta  and
T. T. Yeh
C. W. Van Atta
Affiliation:
Department of the Aerospace and Mechanical Engineering Sciences and Institute for Pure and Applied Physical Sciences, University of California, San Diego, La Jolla, California
T. T. Yeh
Affiliation:
Department of the Aerospace and Mechanical Engineering Sciences and Institute for Pure and Applied Physical Sciences, University of California, San Diego, La Jolla, California
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Abstract

Three-point odd-order correlations and four-point even-order correlations of the longitudinal velocity fluctuations in grid-generated turbulence have been measured using linearized hot-wire anemometry, digital sampling, and a high-speed digital computer. The measured correlations are compared with relations between higher-order correlations corresponding to non-Gaussian Gram-Charlier joint probability densities for three and four variables. The fourth-order, three-point Gram-Charlier distribution accurately describes the relation between measured odd-order three-point correlations. The measured fourth-order even-order correlations may be accurately predicted from the two-point correlation using Millionshtchikov's joint-Gaussian hypothesis, except for small values of the separations. The disagreement at small separations cannot be reduced through use of the Gram-Charlier approximation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 1 , 26 March 1970 , pp. 169 - 178
Copyright
© 1970 Cambridge University Press

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Van Atta, C. W. & Yeh, T. T. 1970 To be published.