# The Onset of Turbulence in Pipe Flow

@article{Avila2011TheOO, 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}, journal={Science}, year={2011}, volume={333}, 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…

## 469 Citations

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## References

SHOWING 1-10 OF 38 REFERENCES

Turbulence transition in pipe flow

- Physics
- 2007

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

- PhysicsJournal of Fluid Mechanics
- 2010

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

- Physics, EngineeringNature
- 2006

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

- PhysicsProceedings of the National Academy of Sciences
- 2010

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

- Engineering, PhysicsScience
- 2010

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

- PhysicsPhilosophical 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

- Engineering, PhysicsJournal of Fluid Mechanics
- 2008

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.

- Physics, EngineeringPhysical review letters
- 2008

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

- PhysicsJournal of Fluid Mechanics
- 2004

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.

- PhysicsPhysical 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…