Distributed chaos and Rayleigh-Benard turbulence at very high Ra
Fluid Dynamics
2016-11-02 v1 Solar and Stellar Astrophysics
Chaotic Dynamics
Abstract
It is shown, by the means of distributed chaos approach and using the experimental data, that at very large Rayleigh number and Prandtl number the Rayleigh-B\'{e}nard turbulence can undergo a transition related to spontaneous breaking of the fundamental Lagrangian relabeling symmetry. Due to the Noether's theorem helicity plays central role in this process. After the transition the temperature spectrum has a stretched exponential form with both at the cell midplain and at the near-wall (low boundary) regions. There is a similarity between this phenomenon and the effects of polymer additives.
Keywords
Cite
@article{arxiv.1608.04657,
title = {Distributed chaos and Rayleigh-Benard turbulence at very high Ra},
author = {A. Bershadskii},
journal= {arXiv preprint arXiv:1608.04657},
year = {2016}
}