2011/03/07 by Lennaert van Veen, Genta KAWAHARA, Genta Kawahara · 3 citations
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Bifurcation #Classical mechanics #Dissipation #Fluid Dynamics and Turbulent Flows #Geology #Homoclinic orbit #Laminar flow #Mathematics #Mechanics #Particle Dynamics in Fluid Flows #Physics #Plant Water Relations and Carbon Dynamics #Quantum mechanics #Shear (geology) #Shear flow #Statistical physics #Tangle #Turbulence #math.DS #msc:34C37 #msc:76F20 #physics.flu-dyn
paper · pdf · doi:10.1103/physrevlett.107.114501
arxiv created 2011/03/07 · openalex publication_date 2011/09/08 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Experiments and simulations lend mounting evidence for the edge state hypothesis on subcritical transition to turbulence, which asserts that simple states of fluid motion mediate between laminar and turbulent shear flow as their stable manifolds separate the two in state space. In this Letter we describe flows homoclinic to a time-periodic edge state that display the essential properties of turbulent bursting. During a burst, vortical structures and the associated energy dissipation are highly localized near the wall, in contrast with the familiar regeneration cycle.