Abstract
In pipe, channel and Couette flow turbulence arises despite the linear stability of the laminar state and the transition is caused by finite amplitude perturbations. The resulting patches of turbulence remain spatially localized and die eventually. However prior to decay they may infect adjacent laminar regions and seed new patches. Depending which of these processes dominates either the entire flow will relaminarise or turbulence survives. This overall situation is reminiscent to absorbing state phase transitions in statistical mechanics. As shown specifically for Couette flow the transition falls into the directed percolation universality class. In order to resolve the relevant time scales of the flow and to determine the respective critical exponents, experiments with excessively large aspect ratios and observation times are required. In addition I will discuss further complications that arise in pressure driven flows such as pipes and channels. Finally, if time permits some consequences for turbulence control will be presented.
Published Version
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