Extended localized structures and the onset of turbulence in channel flow
arXiv:1709.07165 · doi:10.1103/PhysRevFluids.3.011902
Abstract
In this letter, it is shown numerically that in plane Poiseuille flow and before the threshold of equilibrium turbulence defined by the directed-percolation universality class, a sparse turbulent state in form of localized turbulent band can sustain either by continuous increase of the turbulence fraction due to band extension when the flow domain is large enough, or by a dynamic balance between the band extension and the band breaking and decay caused by the band interaction in a finite domain. The width and tilt angle of the band keep statistically invariant during its oblique extension, a process which is not sensitive to random disturbances.
4 figures
References in corpus (6)
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Cited by in corpus (16)
- Bifurcations to turbulence in transitional channel flow
- Statistical transition to turbulence in plane channel flow
- Stability of slip channel flow revisited
- The phase transition to turbulence in spatially extended shear flows
- Transition to turbulence in shear flows
- The growth mechanism of turbulent bands in channel flow at low Reynolds numbers
- Structured input-output analysis of transitional wall-bounded flows
- Flow Statistics in the Transitional Regime of Plane Channel Flow
- Trigger turbulent bands directly at low Reynolds numbers in channel flow using a moving-force technique
- Dynamics and proliferation of turbulent stripes in plane-Poiseuille and plane-Couette flows
- Propagation mechanism of localized wave packet in plane-Poiseuille flow
- Linear and nonlinear optimal growth mechanisms for generating turbulent bands
- Linear stability of turbulent channel flow with one-point closure
- Size-dependent transient nature of localized turbulence in transitional channel flow
- Pattern preservation during the decay and growth of localized wave packet in two-dimensional channel flow
- Aging and memory of transitional turbulence