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Annual Review of Fluid Mechanics

Volume 55, 2023

Transition to Turbulence in Pipe Flow

Abstract

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: () stability and susceptibility of laminar flow, () phase transition and spatiotemporal dynamics, and () 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.

Keyword(s): directed percolation, intermittency, shear flow, transient chaos, transient growth, turbulent puff, turbulent slug
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2023-01-19
2024-04-20
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Transition to Turbulence in Pipe Flow
Annual Review of Fluid Mechanics 55, 575 (2023); https://doi.org/10.1146/annurev-fluid-120720-025957
/content/journals/10.1146/annurev-fluid-120720-025957
/content/journals/10.1146/annurev-fluid-120720-025957
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