Cerbus Rory T, Liu Chien-Chia, Gioia Gustavo, Chakraborty Pinaki
Fluid Mechanics Unit, Okinawa Institute of Science and Technology Graduate University, Onna-son, Okinawa 904-0495, Japan.
Continuum Physics Unit, Okinawa Institute of Science and Technology Graduate University, Onna-son, Okinawa 904-0495, Japan.
Sci Adv. 2020 Jan 24;6(4):eaaw6256. doi: 10.1126/sciadv.aaw6256. eCollection 2020 Jan.
Turbulent flows are not only everywhere, but every turbulent flow is the same at small scales. The extraordinary simplification engendered by this "small-scale universality" is a hallmark of turbulence theory. However, on the basis of the restrictive assumptions invoked by A. N. Kolmogorov to demonstrate this universality, it is widely thought that only idealized turbulent flows conform to this framework. Using experiments and simulations that span a wide range of Reynolds number, we show that small-scale universality governs the spectral structure of a class of flows with no apparent ties to the idealized flows: transitional pipe flows. Our results not only extend the universality of Kolmogorov's framework beyond expectation but also establish an unexpected link between transitional pipe flows and Kolmogorovian turbulence.
湍流不仅无处不在,而且在小尺度上,每一种湍流都是相同的。这种“小尺度普遍性”所带来的非凡简化是湍流理论的一个标志。然而,基于A. N. 柯尔莫哥洛夫为证明这种普遍性而引入的限制性假设,人们普遍认为只有理想化的湍流才符合这一框架。通过跨越广泛雷诺数范围的实验和模拟,我们表明小尺度普遍性支配着一类与理想化流动没有明显关联的流动的频谱结构:过渡管道流动。我们的结果不仅将柯尔莫哥洛夫框架的普遍性扩展到超出预期的范围,而且还在过渡管道流动和柯尔莫哥洛夫湍流之间建立了意想不到的联系。