Transition to turbulence in shear flows

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2018Embargo end date: 01 Jan 2018 English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 504, pages 121-129 (issn: 0378-4371,

Copyright policy )Funded by:DFG | unidentified

Authors: Eckhardt, Bruno;

doi: 10.1016/j.physa.2018.01.032 , 10.48550/arxiv.1801.09260

arXiv: 1801.09260

Transition to turbulence in shear flows

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Abstract

Pipe flow and many other shear flows show a transition to turbulence at flow rates for which the laminar profile is stable against infinitesimal perturbations. In this brief review the recent progress in the understanding of this transition will be summarized, with a focus on the linear and nonlinear states that drive the transitions, the extended and localized patterns that appear, and on the spatio-temporal dynamics and their relation to directed percolation.

Related Organizations

Philipps-University of Marburg
Germany

Keywords

turbulence, Fluid Dynamics (physics.flu-dyn), transition, directed percolation, FOS: Physical sciences, spatiotemporal dynamics, Physics - Fluid Dynamics, Nonlinear Sciences - Chaotic Dynamics, Transition to turbulence, Time-dependent percolation in statistical mechanics, Chaotic Dynamics (nlin.CD), bifurcations

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