Logarithmic and nonlogarithmic scaling laws of two-point statistics in wall turbulence
Fluid Dynamics
2022-03-04 v2
Abstract
Wall turbulence has a sublayer where one-point statistics, e.g., the mean velocity and the variances of some velocity fluctuations, vary logarithmically with the distance from the wall. This logarithmic scaling is found here for two-point statistics or specifically two-point cumulants of those fluctuations by means of experiments in a wind tunnel. As for corresponding statistics of the rate of the energy dissipation, the scaling is found to be not logarithmic. We reproduce these scaling laws with some mathematics and also with a model of energy-containing eddies that are attached to the wall.
Keywords
Cite
@article{arxiv.2004.02417,
title = {Logarithmic and nonlogarithmic scaling laws of two-point statistics in wall turbulence},
author = {H. Mouri and T. Morinaga and T. Yagi and K. Mori},
journal= {arXiv preprint arXiv:2004.02417},
year = {2022}
}
Comments
11 pages, to appear in Physical Review E