Theoretical perspective on the route to turbulence in a pipe
Theoretical perspective on the route to turbulence in a pipe
复制标题
DOI：
10.1017/jfm.2016.465
复制
发表时间：
2016-09-25
影响因子：
3.7
通讯作者：
Barkley, D.
中科院分区：
文献类型：
--
作者：
Barkley, D.
管道流动的湍流路径是一个复杂的、非线性的、时空的过程，近年来人们对这一过程的认识越来越清晰。本文提出了一个关于这个问题的理论视角，侧重于从相对较少的物理特征和包含这些特征的模型中可以理解什么。本文逐步详细介绍了转变过程，首先讨论了与相变的关系，然后深入探讨了管道流动与可激介质和双稳态介质之间的联系。最后，我们看到了过渡过程的所有阶段，从短暂的湍流，到渗流过渡中持续湍流的开始，再到湍流的适度扩张，然后迅速扩张，最终导致完全湍流的管道流动。
The route to turbulence in pipe flow is a complex, nonlinear, spatiotemporal process for which an increasingly clear understanding has emerged in recent years. This paper presents a theoretical perspective on the problem, focusing on what can be understood from relatively few physical features and models that encompass these features. The paper proceeds step-by-step with increasing detail about the transition process, first discussing the relationship to phase transitions and then exploiting an even deeper connection between pipe flow and excitable and bistable media. In the end a picture emerges for all stages of the transition process, from transient turbulence, to the onset of sustained turbulence in a percolation transition, to the modest and then rapid expansion of turbulence, ultimately leading to fully turbulent pipe flow.