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Universal similarity at high grid Reynolds numbers

Published online by Cambridge University Press:  29 March 2006

J. Schedvin ,
G. R. Stegen  and
C. H. Gibson
J. Schedvin
Affiliation:
Department of Applied Mechanics and Engineering Sciences, University of California, La Jolla
G. R. Stegen
Affiliation:
Department of Geological and Geophysical Sciences, Princeton University, Princeton, New Jersey 08540
C. H. Gibson
Affiliation:
Department of Applied Mechanics and Engineering Sciences, University of California, La Jolla
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Abstract

Kolmogorov's second hypothesis has been examined for the case of turbulence generated behind a very large grid. The turbulent Reynolds number RΛ = 280 was sufficient to obtain a short inertial subrange. The one-dimensional subrange constant a1 = 0·48 ± 0·06 is in agreement with recent determinations made in geophysical flows. Isotropy was tested by comparing the transverse velocity spectrum with the transverse spectrum predicted from the longitudinal spectrum using the isotropic relations. The comparison showed the flow to be isotropic everywhere except at the largest scales.

It was observed that at high wavenumbers the spectra were attenuated by effects of finite wire length. The wire-length corrections suggested by Wyngaard (1968) were found to be inadequate. New corrections based on experimentally determined universal spectra are proposed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 65 , Issue 3 , 16 September 1974 , pp. 561 - 579
Copyright
© 1974 Cambridge University Press

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