Size-dependent transient nature of localized turbulence in transitional channel flow
arXiv:2209.15184 · doi:10.1017/jfm.2022.839
Abstract
It has been reported that a fully localized turbulent band in channel flow becomes sustained when the Reynolds number is above a threshold. Here we show evidences that turbulent bands are of a transient nature instead. When the band length is controlled to be fixed, lifetimes of turbulent bands appear to be stochastic and exponentially distributed, a sign of a memoryless transient nature. Besides increasing with the Reynolds number, the mean lifetime also strongly increases with the band length. Given that the band length always changes over time in real channel flow, this size dependence may translate into a time dependence, which needs to be taken into account when clarifying the relationship between channel flow transition and the directed percolation universality class.
arXiv comment13 pages, 7 figures, accepted to Journal of Fluid Mechanics
References in corpus (19)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- A Universal Transition to Turbulence in Channel Flow
- On the transient nature of localized pipe flow turbulence
- Ecological collapse and the emergence of traveling waves at the onset of shear turbulence
- Scale invariance at the onset of turbulence in Couette flow
- Universal continuous transition to turbulence in a planar shear flow
- Transient Turbulence in Taylor-Couette Flow
- Bifurcations to turbulence in transitional channel flow
- The critical point of the transition to turbulence in pipe flow
- Statistical transition to turbulence in plane channel flow
- Extended localized structures and the onset of turbulence in channel flow
- The growth mechanism of turbulent bands in channel flow at low Reynolds numbers
- Extreme events in transitional turbulence
- Flow Statistics in the Transitional Regime of Plane Channel Flow
- Collapse of transitional wall turbulence captured using a rare events algorithm
- Trigger turbulent bands directly at low Reynolds numbers in channel flow using a moving-force technique
- Transitional channel flow: A minimal stochastic model
- Propagation speed of turbulent fronts in pipe flow at high Reynolds numbers
- Far field of turbulent spots