The Onset of Turbulence in Pipe Flow

  title={The Onset of Turbulence in Pipe Flow},
  author={Kerstin Avila and David Moxey and Alberto de L{\'o}zar and Marc Avila and Dwight Barkley and Bj{\"o}rn Hof},
  pages={192 - 196}
The lifetimes of injected jet puffs are used to determine the critical point at which turbulent pipe flow is sustained. Shear flows undergo a sudden transition from laminar to turbulent motion as the velocity increases, and the onset of turbulence radically changes transport efficiency and mixing properties. Even for the well-studied case of pipe flow, it has not been possible to determine at what Reynolds number the motion will be either persistently turbulent or ultimately laminar. We show… 
Direct Numerical Simulation of Transition to Turbulence and Turbulence Control in Pipe Flow
The subject of this thesis is the transition to turbulence and turbulence control in pipe flow. In pipes turbulence arises despite the linear stability of the laminar flow (subcritical transition)
The onset of sustained turbulence in pipe flow is a non-equilibrium phase transition between decaying and spreading turbulence [2]. However, the extremely long timescales of these processes in pipe
The rise of fully turbulent flow
A bifurcation scenario is uncovered that explains the transformation to fully turbulent pipe flow and the front dynamics of the different states encountered in the process and is bridged between understanding of the onset of turbulence and fully turbulent flows.
The Unified Transition Stages in Linearly Stable Shear Flows
Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics
The critical point of the transition to turbulence in pipe flow
In pipes, turbulence sets in despite the linear stability of the laminar Hagen–Poiseuille flow. The Reynolds number ( $Re$ ) for which turbulence first appears in a given experiment – the ‘natural
Local Reynolds number and thresholds of transition in shear flows
Recent experimental and numerical investigations reveal that the onset of turbulence in plane-Poiseuille flow and plane-Couette flow has some similar stages separated with different threshold
Direct numerical simulation of quasi-equilibrium turbulent puffs in pipe flow
The flow of an incompressible fluid in a straight circular pipe driven by a pressure gradient is a canonical shear flow undergoing subcritical transition. It is well established that at transitional
Phase transition to sustained turbulence in pipe flow
In a pipe, the onset of turbulence is intermittent in both space and time, and undergoes a phase transition to sustained turbulence at a critical Reynolds number. This transition has not been
A Critical Point for Turbulence
On page 192 of this issue, Avila et al. (3) show how a critical point for turbulent pipe flow may finally be identified.
Lagrangian approach to laminar–turbulent interfaces in transitional pipe flow
Abstract Transition in shear flows is characterized by localized turbulent regions embedded in the surrounding laminar flow. These so-called turbulent spots or puffs are observed in a variety of


Turbulence transition in pipe flow
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
On the transient nature of localized pipe flow turbulence
The onset of shear flow turbulence is characterized by turbulent patches bounded by regions of laminar flow. At low Reynolds numbers localized turbulence relaminarizes, raising the question of
Finite lifetime of turbulence in shear flows
Experimental data and numerical calculations covering more than two decades of lifetimes are presented, showing that the lifetime does not in fact diverge but rather increases exponentially with the Reynolds number, implying that turbulence in pipes is only a transient event, and that the turbulent and laminar states remain dynamically connected, suggesting avenues for turbulence control.
Distinct large-scale turbulent-laminar states in transitional pipe flow
This work has carried out extensive numerical computations in pipes of variable lengths up to 125 diameters to investigate the nature of transitional turbulence in pipe flow and shows the existence of three fundamentally different turbulent states separated by two distinct Reynolds numbers.
Eliminating Turbulence in Spatially Intermittent Flows
Investigating the motion and spatial distribution of vortices, an amplification mechanism that constantly feeds energy from the mean shear into turbulent eddies is uncovered, and a simple control mechanism suffices to intercept this energy transfer by reducing inflection points in the velocity profile.
An experimental study of the decay of turbulent puffs in pipe flow
  • A. de Lózar, B. Hof
  • Physics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2008
It is not clear whether a critical point exists where turbulence becomes sustained or if it remains transient, so it is here aimed to clarify if conflicting results may have been caused by the different experimental and numerical protocols used to trigger turbulence in these studies.
Laminar-to-turbulent transition of pipe flows through puffs and slugs
Laminar-to-turbulent transition of pipe flows occurs, for sufficiently high Reynolds numbers, in the form of slugs. These are initiated by disturbances in the entrance region of a pipe flow, and grow
Repeller or attractor? Selecting the dynamical model for the onset of turbulence in pipe flow.
Lifetime measurements of turbulence in pipe flow spanning 8 orders of magnitude in time are presented, showing that no critical point exists in this regime and that in contrast to the prevailing view the turbulent state remains transient.
Sensitive dependence on initial conditions in transition to turbulence in pipe flow
The experiments by Darbyshire & Mullin (1995) on the transition to turbulence in pipe flow show that there is no sharp border between initial conditions that trigger turbulence and those that do not.
Spatiotemporal perspective on the decay of turbulence in wall-bounded flows.
  • P. Manneville
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
By use of a reduced model focusing on the in-plane dependence of plane Couette flow, it is shown that the turbulent-->laminar relaxation process can be understood as a nucleation problem similar to