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JFM Perspectives

JFM Perspectives are critical surveys of the state of a particular topic written by a leading expert. Perspectives are typically around 50-70 pages long and structured so that a person entering the specific field without specialist knowledge can access and understand the key results and the current major research questions. Perspectives are drawn from the whole of fluid mechanics, and are written at the invitation of the editorial board.

JFM Perspectives Editorial Board

  • Doctor Bérengère Dubrulle, Service de Physique de l'Etat Condensé, France
  • Professor Rama Govindarajan, International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, India
  • Professor Heinz Pitsch, RWTH Aachen University, Germany
  • Professor Olivier Pouliquen, Aix Marseille University-CNRS, France
  • Professor Sarah Waters, University of Oxford, UK
Contents

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JFM Perspectives

  • Theoretical perspective on the route to turbulence in a pipe

  • D. Barkley
  • Journal:
    Journal of Fluid Mechanics / Volume 803 / 2016
    Published online by Cambridge University Press:
    30 August 2016, P1

  • 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.

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