Hostname: page-component-7479d7b7d-k7p5g Total loading time: 0 Render date: 2024-07-10T15:30:12.321Z Has data issue: false hasContentIssue false

The intermittent small-scale structure of turbulence: data-processing hazards

Published online by Cambridge University Press:  29 March 2006

H. Tennekes
Affiliation:
Department of Aerospace Engineering, The Pennsylvania State University
J. C. Wyngaard
Affiliation:
Air Force Cambridge Research Laboratories, Bedford, Massachusetts

Abstract

Velocity derivatives in turbulence at large Reynolds numbers exhibit probability densities with a large kurtosis. If the value of the kurtosis is about 40, as in many measurements of atmospheric turbulence, careful attention to the processing of such signals is required in order to obtain an acceptable level of accuracy. Signal-to-noise and integration-time limitations make measurements of moments higher than the fourth nearly impossible for signals of this kind.

Type
Research Article
Copyright
© 1972 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Comte-Bellot, G. & Corrsin, S. 1971 J. Fluid Mech. 48, 273.
Friehe, C. A., Van Atta, C. W. & Gibson, C. H. 1971 Proc. AGARD Specialist's Meeting on Turbulent Shear Flows. Paris: N.A.T.O.
Gibson, C. H., Stegen, G. R. & Williams, R. B. 1970 J. Fluid Mech. 41, 153.
Gurvich, A. S. & Yaglom, A. M. 1967 Phys. Fluids, 10, S 59.
Kolmogorov, A. N. 1962 J. Fluid Mech. 13, 82.
Lumley, J. L. 1970 Stochastic Tools in Turbulence. Academic.
Oboukhov, A. M. 1962 J. Fluid Mech. 13, 77.
Orszag, S. A. 1970 Phys. Fluids 13, 2211.
Pierce, R. E. 1972 Dissertation, The Pennsylvania State University.
Sheih, C. M., Tennekes, H. & Lumley, J. L. 1971 Phys. Fluids, 14, 201.
Stewart, R. W., Wilson, J. R. & Burling, R. W. 1970 J. Fluid Mech. 41, 141.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. M.I.T. Press.
Wyngaard, J. C. & Coté, O. R. 1971 J. Atmos. Sci. 28, 190.
Wyngaard, J. C. & Pao, Y. H. 1972 Statistical Models and Turbulence, Lecture Notes in Physics, pp. 384401. Springer.
Wyngaard, J. C. & Tennekes, H. 1970 Phys. Fluids, 13, 1962.