Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-02-05T17:44:10.674Z Has data issue: false hasContentIssue false
  • English
  • Français

Statistics of the fine structure of turbulent velocity and temperature fields measured at high Reynolds number

Published online by Cambridge University Press:  29 March 2006

Carl H. Gibson ,
Gilbert R. Stegen  and
Robert Bruce Williams
Carl H. Gibson
Affiliation:
University of California, San Diego
Gilbert R. Stegen
Affiliation:
Colorado State University, Fort Collins, Colorado
Robert Bruce Williams
Affiliation:
Marine Physical Laboratory, Scripps Institute of Oceanography, La Jolla, California
Get access Rights & Permissions [Opens in a new window]

Abstract

Derivatives of velocity and temperature in the wind over the ocean were found to be quite variable. Probability distribution functions of squared derivatives were consistent with lognormality predictions by Kolmogoroff, Obukhoff and Yaglom. Kurtosis values for velocity derivatives ranged from 13 to 26 and from 26 to 43 for temperature derivatives. Universal inertial subrange constants were evaluated from dissipation spectra and were found to be 40 to 300% larger than most values reported previously. Evidence for local anisotropy of the temperature field is provided by non-zero values of the measured derivative skewness.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 1 , 26 March 1970 , pp. 153 - 167
Copyright
© 1970 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

Aitchison, J. & Brown, J. A. C. 1957 The Lognormal Distribution. Cambridge University Press.
Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Batchelor, G. K. 1959 J. Fluid Mech. 5, 113.
Gibson, C. H. 1968a Phys. Fluids, 11, 2305.
Gibson, C. H. 1968b Phys. Fluids, 11, 2316.
Gibson, C. H. & Schwarz, W. H. 1963 J. Fluid Mech. 16, 365.
Gibson, C. H. & Williams, R. B. 1969 Proceedings AGARD Specialists Symposium on the Aerodynamics of Atmospheric Shear Flows. Munich: AGARD CP no. 48.
Grant, H. L., Hughes, B. A., Vogel, W. M. & Moilliet, A. 1968 J. Fluid Mech. 34, 423.
Gurvich, A. S. 1960 Dokl. AN SSSR, 134, 1073.
Gurvich, A. S. 1967 Dokl. AN SSSR, 172, 554.
Kistler, A. L. & Vrebalovich, T. 1966 J. Fluid Mech. 26, 37.
Kolmogoroff, A. N. 1941 Dokl. AN SSSR, 30, 301.
Kolmogoroff, A. N. 1962 J. Fluid Mech. 13, 82.
Kraichnan, R. H. 1968 Phys. Fluids, 11, 945.
Obukhoff, A. M. 1962 J. Fluid Mech. 13, 77.
Pao, Y. H. 1965 Phys. Fluids, 8, 1063.
Pond, S., Smith, S. D., Hamblin, P. F. & Burling, R. W. 1966 J. Atm. Sci. 23, 376.
Shieh, C. M. 1969 Dissertation, The Penn. State Univ.
Stegen, G. R. 1969 Phys. Fluids, 12, 723.
Yaglom, A. M. 1966 Dokl. AN SSSR, 166, 49.