Transition to turbulence in shear flows
arXiv:1801.09260 · doi:10.1016/j.physa.2018.01.032
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.
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Cited by in corpus (8)
- Dynamo theories
- Using Machine Learning to predict extreme events in the Hénon map
- Phase-field simulation of core-annular pipe flow
- Modeling and Simulation of Transitional Taylor-Green Vortex Flow with PANS
- Optimal perturbations and transition energy thresholds in boundary layer shear flows
- Linear stability analysis of purely elastic travelling wave solutions in pressure driven channel flows
- On the time-evolution of resonant triads in rotational capillary-gravity water waves
- Emergence of order from chaos through a continuous phase transition in a turbulent reactive flow system