Turbulence Transition in Pipe Flow

2006/12/20 by Bruno Eckhardt, Tobias M. Schneider, Björn Hof +2 · 14 citations
Engineering · Environmental Science · #Fluid Dynamics and Turbulent Flows #Combustion and flame dynamics #Plant Water Relations and Carbon Dynamics

paper · doi:10.1146/annurev.fluid.39.050905.110308

Abstract

Pipe flow is a prominent example among the shear flows that undergo transition to turbulence without mediation by a linear instability of the laminar profile. Experiments on pipe flow, as well as plane Couette and plane Poiseuille flow, show that triggering turbulence depends sensitively on initial conditions, that between the laminar and the turbulent states there exists no intermediate state with simple spatial or temporal characteristics, and that turbulence is not persistent, i.e., it can decay again, if the observation time is long enough. All these features can consistently be explained on the assumption that the turbulent state corresponds to a chaotic saddle in state space. The goal of this review is to explain this concept, summarize the numerical and experimental evidence for pipe flow, and outline the consequences for related flows.

Citations

• Coherent Motions in the Turbulent Boundary Layer

Cited by

• Transition to Turbulence in Pipe Flow
• Designing a minimal baffle to destabilise turbulence in pipe flows
• Adjoint-based variational method for constructing periodic orbits of high-dimensional chaotic systems
• Nanofluidic logic based on chiral skyrmion flows
• A set-oriented path following method for the approximation of parameter dependent attractors
• A resolution of the transition to turbulence paradox
• Subcritical transition and multistability in liquid metal magnetoconvection with sidewalls
• Spatial marching with subgrid-scale local exact coherent structures in non-uniformly curved channel flow
• Universality at the onset of turbulence in shear flows
• Plane-layer Rayleigh-Bénard convection up to Ra=10¹¹: Near-wall fluctuations and role of initial conditions
• Distinct Lifetime Scaling Laws of Turbulent Puff in Duct Flow
• Nonlinear input-output analysis of transitional shear flows using small-signal finite-gain L_p stability
• Chaos, coherence and turbulence
• Turbulent puffs in transitional pulsatile pipe flow at moderate pulsation amplitudes

Related

• Transition to Turbulence in Pipe Flow
• The Unified Transition Stages in Linearly Stable Shear Flows
• Dynamical landscape of transitional pipe flow
• Critical Behaviour in the Relaminarisation of Localised Turbulence in Pipe Flow
• The Onset of Metastable Turbulence in Pipe Flow