## Abstract This paper derives an improved energy inequality for the non‐linear dynamical von Kármán equations. The existence of global classical solutions is a consequence of this a priori inequality.
On the existence of a relation between the Kolmogoroff and von Kármán constants
✍ Scribed by Rainer Roth
- Publisher
- Springer
- Year
- 1970
- Tongue
- English
- Weight
- 208 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0006-8314
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✦ Synopsis
A model is described, in which the mean vertical wind profile and turbulence spectra at different heights are calculated for a turbulent boundary layer without thermal stratification. The model makes use of Heisenberg's formula for the transfer of turbulent energy and is based on the assumption of a constant shearing stress in that boundary layer. As a result, a logarithmic wind profile follows with 0.39 as the value of von KArmAn's constant, which is -in this model -strongly related to the inertial subrange of the turbulent energy spectra and therefore to the Kolmogoroff constant.
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