Borrero-Echeverry Daniel, Schatz Michael F, Tagg Randall
Center for Nonlinear Science and School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Feb;81(2 Pt 2):025301. doi: 10.1103/PhysRevE.81.025301. Epub 2010 Feb 19.
Recent studies have brought into question the view that at sufficiently high Reynolds number turbulence is an asymptotic state. We present direct observation of the decay of turbulent states in Taylor-Couette flow with lifetimes spanning five orders of magnitude. We also show that there is a regime where Taylor-Couette flow shares many of the decay characteristics observed in other shear flows, including Poisson statistics and the coexistence of laminar and turbulent patches. Our data suggest that for a range of Reynolds numbers characteristic decay times increase superexponentially with increasing Reynolds number but remain bounded in agreement with the most recent data from pipe flow. Our data are also consistent with recent theoretical predictions of lifetime scaling in transitional flows.
在足够高的雷诺数下,湍流是一种渐近状态。我们对泰勒-库埃特流中湍流状态的衰减进行了直接观测,其寿命跨越五个数量级。我们还表明,存在一个区域,在该区域中泰勒-库埃特流具有许多在其他剪切流中观察到的衰减特征,包括泊松统计以及层流和湍流斑块的共存。我们的数据表明,对于一系列雷诺数,特征衰减时间随雷诺数的增加呈超指数增长,但与管道流的最新数据一致,仍保持有界。我们的数据也与最近关于过渡流中寿命标度的理论预测一致。