Tokyo University of Science, Yamazaki 2641, Noda, Chiba 278-8510, Japan.
Linné Flow Centre, KTH Mechanics, Royal Institute of Technology, Stockholm SE-100 44, Sweden.
Phys Rev Lett. 2018 Jun 15;120(24):244501. doi: 10.1103/PhysRevLett.120.244501.
Interscale interaction between small-scale structures near the wall and large-scale structures away from the wall plays an increasingly important role with increasing Reynolds number in wall-bounded turbulence. While the top-down influence from the large- to small-scale structures is well known, it has been unclear whether the small scales near the wall also affect the large scales away from the wall. In this Letter we show that the small-scale near-wall structures indeed play a role to maintain the large-scale structures away from the wall, by showing that the Reynolds shear stress is transferred from small to large scales throughout the channel. This is in contrast to the turbulent kinetic energy transport which is from large to small scales. Such an "inverse" interscale transport of the Reynolds shear stress eventually supports the turbulent energy production at large scales.
在壁面边界层湍流中,随着雷诺数的增加,壁面附近小尺度结构与远离壁面的大尺度结构之间的相互作用变得越来越重要。虽然大尺度结构向小尺度结构的自上而下的影响是众所周知的,但小尺度结构是否也会影响远离壁面的大尺度结构还不清楚。在这封信中,我们通过表明雷诺切应力通过整个通道从小尺度传递到大尺度,表明壁面附近的小尺度结构确实在维持远离壁面的大尺度结构方面发挥了作用。这与湍流动能的传递从大尺度到小尺度形成对比。这种雷诺切应力的“反向”跨尺度传递最终支持了大尺度的湍流能量产生。