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Experimental scaling law for the subcritical transition to turbulence in plane Poiseuille flow

2011/11/30 by Grégoire Lemoult, Jean‐Luc Aider, Jean-Luc Aider +2 · 2 citations
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Amplitude #Classical mechanics #Combustion and flame dynamics #Flow (mathematics) #Flow visualization #Fluid Dynamics and Turbulent Flows #Geometry #Hagen–Poiseuille equation #Mathematics #Mechanics #Optics #Perturbation (astronomy) #Physics #Plant Water Relations and Carbon Dynamics #Quantum mechanics #Reynolds number #Scaling #Turbulence #Vortex #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.85.025303

arxiv created 2011/11/30 · openalex publication_date 2012/02/21 · arxiv updated 2012/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an experimental study of the transition to turbulence in a plane Poiseuille flow. Using a well-controlled perturbation, we analyze the flow by using extensive particle image velocimetry and flow visualization (using laser-induced fluorescence) measurements, and use the deformation of the mean velocity profile as a criterion to characterize the state of the flow. From a large parametric study, four different states are defined, depending on the values of the Reynolds number and the amplitude of the perturbation. We discuss the role of coherent structures, such as hairpin vortices, in the transition. We find that the minimal amplitude of the perturbation triggering transition scales asymptotically as Re(-1).

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