Abstract
The logarithmic velocity region is studied in zero-pressure-gradient turbulent boundary layers on the smooth wall. We have already proposed the new definition of log-law region with using the probability distribution function in the stream-wise velocity fluctuation. In this report the Reynolds number dependence of log-law region and PDF profile is discussed based on the experimental data. The measure called Kullback-Leibler divergence is applied for distinguishing the probability profiles. And the mean velocity profile around the edge of log-law region is derived from the PDF equation, which is slightly depending on Reynolds number. The PDF profiles are characterized here by the method adopting the conditional average of the stationary stochastic process. This enables us to understand the important physical quantities which have the relation to the shape of PDF in the log-law region.
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