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Some statistical properties of small scale turbulence in an atmospheric boundary layer

Published online by Cambridge University Press:  29 March 2006

R. W. Stewart ,
J. R. Wilson  and
R. W. Burling
R. W. Stewart
Affiliation:
Institute of Oceanography University of British Columbia Vancouver, Canada
J. R. Wilson
Affiliation:
Institute of Oceanography University of British Columbia Vancouver, Canada
R. W. Burling
Affiliation:
Institute of Oceanography University of British Columbia Vancouver, Canada
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Abstract

Derivatives of velocity signals obtained in a turbulent boundary layer are examined for correspondence to the lognormal distribution. It is found that there is rough agreement but that unlikely events at high values are much less common in the observed fields than would be inferred from the lognormal distribution. The actual distributions correspond more to those obtained from a random walk with a limited number of steps, so the difference between these distributions and the lognormal may be related to the fact that the Reynolds number is finite.

The third-order structure function is examined, and found to be roughly consistent with the existence of an inertial subrange of a Kolmogoroff equilibrium reacute;gime over a range of scale which is a priori reasonable but which is far less extensive than the $-\frac{5}{3}$ region of the spectrum.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 41 , Issue 1 , 26 March 1970 , pp. 141 - 152
Copyright
© 1970 Cambridge University Press

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References

Gurvich, A. S. 1960 Measurements of the skewness coefficient for the velocity difference distribution in the bottom layer of the atmosphere. Dokl. Akad. Sci. USSR 134, 1073.Google Scholar
Gurvich, A. S. & Yaglom, A. M. 1967 Breakdown of eddies and probability distributions for small-scale turbulence. Phys. Fluids Suppl. 10 (part II), S 59.Google Scholar
Gurvich, A. S. & Zubkovski, S. L. 1963 Izv. Akad. Nauk. S.S.S.R. Ser. Geofis. 1856.
Kolmogorov, A. N. 1941 The local structure of turbulence in an incompressible viscous fluid for very large Reynolds number. C.R. (Dokl.) Acad. Sci. USSR 30, 301.Google Scholar
Kolmogorov, A. N. 1962 A refinement of previous hypothesis concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13, 82.Google Scholar
Novikov, E. A. & Stewart, R. W. 1964 The intermittency of turbulence and the spectrum of energy dissipation fluctuations. Izv. Akad. Nauk. Ser. Geophys. no. 3, 408.Google Scholar
Oboukov, A. M. 1941a C.R. (Dokl.) Acad. Sci. USSR 32, 19.
Oboukov, A. M. 1941b Izv. Nauk. S.S.S.R., Ser. Geogr. i. Geofiz. 5, 453.
Oboukov, A. M. 1962 Some specific features of atmospheric turbulence. J. Fluid. Mech. 13, 77.Google Scholar
Pond, S. 1965 Turbulent spectra in the atmospheric boundary layer over the sea. Unpublished Ph.D. thesis, Institute of Oceanography and Department of Physics, University of British Columbia (IOUBC Manuscript Report no. 19).
Pond, S., Smith, S. D., Hamblin, P. F. & Burling, R. W. 1966 Spectra of velocity and temperature fluctuations in the atmospheric boundary layer over the sea. J. Atmos. Sci. 23, 376.Google Scholar
Pond, S., Stewart, R. W. & Burling, R. W. 1963 Turbulent spectra in the wind over waves. J. Atmos. Sci. 20, 319.Google Scholar
Stewart, R. W. 1963 On the reconciliation of experimental data on the spectrum of locally isotropic turbulence. Dokl. Akad. Sci. USSR 152, 324.Google Scholar