Mathematical model for logarithmic scaling of velocity fluctuations in wall turbulence
Fluid Dynamics
2015-12-08 v1
Abstract
For wall turbulence, moments of velocity fluctuations are known to be logarithmic functions of the height from the wall. This logarithmic scaling is due to the existence of a characteristic velocity and to the nonexistence of any characteristic height in the range of the scaling. By using mathematics of random variables, we obtain its necessary and sufficient conditions. They are compared with characteristics of a phenomenological model of eddies attached to the wall and also with those of the logarithmic scaling of the mean velocity.
Keywords
Cite
@article{arxiv.1511.03441,
title = {Mathematical model for logarithmic scaling of velocity fluctuations in wall turbulence},
author = {H. Mouri},
journal= {arXiv preprint arXiv:1511.03441},
year = {2015}
}
Comments
5 pages, to appear in Physical Review E