期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 342, 期 3-4, 页码 471-478出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2004.05.076
关键词
decaying turbulence; energy spectra; scaling analysis
Few rigorous results are derived for fully developed turbulence. By applying the scaling properties of the Navier-Stokes equation we have derived a relation for the energy spectrum valid for unforced or decaying isotropic turbulence. We find the existence of a scaling function psi. The energy spectrum can at any time by a suitable rescaling be mapped onto this function. This indicates that the initial (primordial) energy spectrum is in principle retained in the energy spectrum observed at any later time, and the principle of permanence of large eddies is derived. The result can be seen as a restoration of the determinism of the Navier-Stokes equation in the mean. We compare our results with a windtunnel experiment and find good agreement. (C) 2004 Elsevier B.V. All rights reserved.
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