Abstract
Recently, a relation between the mean velocity profile (MVP) and the turbulence intensity distribution have been reported as these have logarithmic portion in the almost same range of distance from the wall. We focus on the relation between MVP and probability density function (PDF) of measured velocity. We found the two characteristic regions in the Kullback-Leibler divergence distribution in the high Reynolds number turbulent boundary layer at Re_τ =7100. These regions have self-similarity of PDF, but each similarity is not equal. So, these regions have different statistic characteristics each other. We found that these regions are connected to two characteristic regions of quasi logarithmic region and classical logarithmic region in MVP.
