标题： 壁面湍流中流向速度方差的雷诺数依赖性 显示英文标题

标题： Reynolds-number dependence of streamwise velocity variance in wall-bounded turbulent flows

摘要： 我们提出了一种关于壁面湍流中流向速度方差的模型。 它假设附着涡的壁面平行运动会引发内部湍流边界层。 得到了一个对数方差分布。 使用摩擦速度缩放的方差峰值与流动的壁面法向长度与由最大附着涡引起的内部边界层厚度的比值（$\delta_o$）具有对数依赖关系，后者以Lambert W函数的形式依赖于摩擦雷诺数。 在渐近大的雷诺数下，峰值和长度比都是无界的。 该模型还预测了在粘性层附近由附着涡引起的流向速度脉动与摩擦速度成比例；因此，在渐近大的雷诺数下，该处的缩放速度方差保持有限。 显示英文摘要

摘要： We propose a model for the streamwise velocity variance in wall-bounded turbulent flows. It hypothesizes that the wall-parallel motions of the attached eddies induce internal turbulent boundary layers. A logarithmic variance profile is obtained. The peak value of the variance scaled using the friction velocity has a logarithmic dependence on the ratio the wall-normal length of the flow to the thickness of the internal boundary layer induced by the largest attached eddies ($\delta_o$), the latter having a dependence on the friction Reynolds number in the form of a Lambert W function. Both the peak and the length ratio are unbounded at asymptotically large Reynolds numbers. The model also predicts that the streamwise velocity fluctuations induced by the attached eddies near the viscous layer scale with the friction velocity; therefore the scaled velocity variance there remains finite at asymptotically large Reynolds numbers.