Since the seminal studies by Osborne Reynolds in the nineteenth century, pipe flow has served as a primary prototype for investigating the transition to turbulence in wall-bounded flows. Despite the apparent simplicity of this flow, various facets of this problem have occupied researchers for more than a century. Here we review insights from three distinct perspectives: ( a) stability and susceptibility of laminar flow, ( b) phase transition and spatiotemporal dynamics, and ( c) dynamical systems analysis of the Navier—Stokes equations. We show how these perspectives have led to a profound understanding of the onset of turbulence in pipe flow. Outstanding open points, applications to flows of complex fluids, and similarities with other wall-bounded flows are discussed.

中文翻译：

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在管道流中过渡到湍流


自 19 世纪 Osborne Reynolds 的开创性研究以来，管道流一直是研究壁面流中向湍流过渡的主要原型。尽管这一流程表面上很简单，但这个问题的各个方面已经困扰了研究人员一个多世纪。在这里，我们从三个不同的角度回顾了见解：（ a） 层流的稳定性和敏感性，（ b） 相变和时空动力学，以及 （c） 纳维-斯托克斯方程的动力学系统分析。我们展示了这些观点如何导致对管道流中湍流的开始有深刻的理解。讨论了出色的开路点、在复杂流体流动中的应用以及与其他壁面流动的相似之处。