Publikationsdatum:
2001-08-10
Beschreibung:
The second-order velocity structure tensor of weakly anisotropic strong turbulence is decomposed into its SO(3) invariant amplitudes dj(r). Their scaling is derived within a scaling approximation of a variable-scale mean-field theory of the Navier-Stokes equation. In the isotropic sector j = O Kolmogorov scaling do(r) α r2/3 is recovered. The scaling of the higher j amplitudes (j even) depends on the type of the external forcing that maintains the turbulent flow. We consider two options: (i) for an analytic forcing and for decreasing energy input into the sectors with increasing j, the scaling of the higher sectors j 〉 O can become as steep as dj(r) α rj+2/3; (ii) for a non-analytic forcing we obtain dj(r) α r4/3 for all non-zero and even j.
Print ISSN:
0022-1120
Digitale ISSN:
1469-7645
Thema:
Maschinenbau
,
Physik
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