When a flow reaches a certain speed, things get turbulent: The fluid or the gas no longer flows in an orderly fashion but whirls around wildly. However, in contrast to what researchers assumed until now, this state is not permanent. Scientists from the Max Planck Institute for Dynamics and Self-Organization in Göttingen, Germany, and the Technical University in Delft, Netherlands, have shown that in pipe flows, all turbulence will disappear with time. The new measurements are significantly more precise than all previous experiments and computer simulations concerned with this question. (Physical Review Letters, November 21st 2008)
Turbulent flows in pipes are of importance for many every-day applications. What they all have in common is their appearance: They travel down the pipe bubbling and gurgling like a mountain stream. The flow only calms down when its speed is reduced. Scientists call this calmer state laminar. Crucial for the difference between laminar and turbulent flow are the inner forces that link the water molecule to each other. Only if the influence of these inner forces is smaller than the influence of the forces that accelerate the flow can turbulence appear.
Until now, scientists assumed that a turbulent flow travelling with a constant speed will always remain turbulent. However, scientists from Göttingen and Delft have now found evidence that points to the contrary. "Our measurements show that every turbulent flow in a pipe will inevitably become laminar", says Dr. Björn Hof from the Max Planck Institute for Dynamics and Self-Organization. Depending on the exact geometry of the pipe this transition may take many years. But just like a ball inside a hollow, that always rolls back into the equilibrium position, only the laminar flow is stable.
For their measurements the scientists let water flow through glass pipes of up to 14 meters length and only a few millimetres in diameter. With the help of a short water pulse from the side they created a turbulent eddy in the otherwise perfectly laminar flow. They then monitored closely, how this eddy changed as it travelled down the pipe. From the probability with which it reached the end of the pipe they could derive the basic principles that govern turbulence.
"In order to discern whether turbulence is stable or only has an extremely long lifetime, our measurements had to be very exact", says Hof. For example, it was crucial to keep the temperature of the water absolutely constant during the experiment. The measuring accuracy which the scientists achieved in this way exceeded all previous experiments. Even computer simulations cannot provide such precise data.
It is still unclear whether the new results also hold true for flows outside of pipes. But even now the results could help in ending turbulence in pipes in a controlled way. "Turbulent flow consumes more energy than do laminar ones. In many applications such as oil pipelines they are therefore bothersome", explains Hof. Since the flows aspire to turn laminar on their own, it could be possible to shorten the long lifetime of the turbulence with the help of a small perturbation. This could help save energy.
Citation: Björn Hof, Alberto de Lozar, Dirk Jan Kuik, and Jerry Westerweel, Repeller or Attractor? Selecting the Dynamical Model for the Onset of Turbulence in a Pipe Flow, Physical Review Letters, Vol. 101, No. 21, Art. 214501, Nov. 21st 2008