Europhys. Lett.
Volume 61, Number 6, March 2003
Page(s) 756 - 761
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 March 2003
DOI: 10.1209/epl/i2003-00298-x
Europhys. Lett., 61 (6) , pp. 756-761 (2003)

On the effects of surrogacy of energy dissipation in determining the intermittency exponent in fully developed turbulence

J. Cleve1, 2, 3, M. Greiner4 and K. R. Sreenivasan1

1  Institute for Physical Science and Technology, University of Maryland College Park, MD 20742, USA
2  Max-Planck-Institut für Physik komplexer Systeme Nöthnitzer Str. 38, D-01187 Dresden, Germany
3  Institut für Theoretische Physik, Technische Universität Dresden D-01062 Dresden, Germany
4  Corporate Technology, Information & Communications, Siemens AG D-81730 München, Germany

(Received 24 October 2002; accepted in final form 9 January 2003)

The two-point correlation function of the energy dissipation, obtained from a one-point time record of an atmospheric boundary layer, reveals a rigorous power law scaling with intermittency exponent $\mu \approx 0.20$ over almost the entire inertial range of scales. However, for the related integral moment, the power law scaling is restricted to the upper part of the inertial range only. This observation is explained in terms of the operational surrogacy of the construction of energy dissipation, which influences the behaviour of the correlation function for small separation distances.

47.27.Jv - High-Reynolds-number turbulence.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
02.50.Sk - Multivariate analysis.

© EDP Sciences 2003