Analysis based on KL expansion and the Differential Geomer Universal Velocity Scaling in Wall Bounded Shear Flow

逻辑速度配置文件被认为是基于零压力梯度平滑和穿过墙壁湍流边界层的。我们提出了一个新的定义，使用流动性的可能性概况。该日志法简介可以从实验数据中提取，并作为概率密度系数（PDF）方程良好。所谓的Kullback Leibler分化的衡量标准已被应用于破坏可能性概况。如果你有逻辑思维模式，UイイD1+イエD1 = A log yイイD1+イエD1 + B is a good representation of the experim？data， our results show that A is independent of the Reynolds number while B depends on it. The ratio of boundary layer thickness to the upper end of log-law extent，イイD2LイエD2， is not constant but approaches the valueイD2/イル= 0.2 as the Reynolds number increases。也就是说，这种情况在穿过墙壁的边界层中并不满意。

The logarithmic velocity profile is considered in zero-pressure gradient smooth and rough wall turbulent boundary layer. We propose a new definition of the log-law region using the probability profiles of the streamwise velocity fluctuation. The log-law profile is extracted readly from the experimental data and as well as the probability density fuction (PDF) equation. The measure called Kullback Leibler divergence is applied for distinguishing the probability profile. If the logarithmin profile ; UィイD1+ィエD1 = A log y ィイD1+ィエD1 + B is a good representation of the experimental data, our results show that A is independent of the Reynolds number while B depends on it. The ratio of boundary layer thickness δto the upper end of log-law extent, δィイD2LィエD2, is not constant but approaches the value δィイD2LィエD2/δ = 0.2 as the Reynolds number increases. Although this condition is not satisfied in rough wall boundary layers.