Europhys. Lett.
Volume 48, Number 2, October 1999
Page(s) 163 - 169
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00461-5

Europhys. Lett, 48 (2), pp. 163-169 (1999)

Low-order velocity structure functions in relatively high Reynolds number turbulence

R. A. Antonia and B. R. Pearson

Department of Mechanical Engineering
University of Newcastle - NSW, 2308, Australia

(received 26 April 1999; accepted in final form 12 August 1999)

PACS. 47.27Jv - High-Reynolds-number turbulence.
PACS. 47.27Gs - Isotropic turbulence; homogeneous turbulence.
PACS. 47.27Nz - Boundary layer and shear turbulence.


Measured second- and third-order moments of longitudinal and transverse velocity increments are examined for relatively large values of the Taylor microscale Reynolds number $R_{\lambda}$ in highly turbulent shear flows. The results support an approach to a Kolmogorov-like inertial range only at very large values of $R_{\lambda}$.Correspondingly, the difference between inertial range power law exponents of longitudinal and transverse velocity structure functions continues to diminish as $R_{\lambda}$ increases.


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