Low Reynolds number limit of turbulent states in channel flow

本文利用已有的两种独立研究湍流流动的分支理论和直接数值模拟相补充的方法，研究了低雷诺数下无限平行板中的非平凡平衡流动。本课题的关键成果是发现了平面库埃特流的发夹涡状态。在湍流剪切流的实验中，发夹涡已被确定为一种随时间变化的相干结构，但其精确解尚未得到解决。

By means of both of the bifurcation theory and the direct numerical simulation method complementarily, which have been employed independently to investigate turbulent flows, we explore non-trivial equilibrium flows in infinite parallel plates at low Reynolds numbers. The key result obtained in this project is the discovery of the hairpin vortex state of the plane Couette flow. While hairpin-vortices have been identified as a time-dependent coherent structure in experiments of turbulent shear flows, any corresponding exact solution has never been solved.