Formation of spanwise vorticy in oblique turbulent bands of transitional plane Couette flow, part 1: Numerical experiments
arXiv:1412.2610 · doi:10.1016/j.euromechflu.2014.11.007
Abstract
This article investigates the formation of spanwise vorticity in the velocity streaks of the oblique laminar- turbulent bands of plane Couette flow (PCF) by mean of Direct Numerical Simulations (DNS). The spanwise vorticity is created by a roll-up type development of the streamwise-wall normal shear layer of the velocity streaks. It is advected by the large scale flow along the bands. We propose a criterion on spanwise vorticity which detects these events in order to perform systematic measurements. Beside of the streamwise and spanwise correlation lengths of the rolls, their advection velocity is measured and shown to match the large scale flow along the band near the turbulent region. Eventually, we discuss the possible relation between ejection of vorticity away from the bands near the laminar region and the size of said laminar region.
arXiv comment13 pages, 9 figures
References in corpus (12)
- Visualizing the geometry of state space in plane Couette flow
- Mean flow of turbulent-laminar patterns in plane Couette flow
- Simplifying the complexity of pipe flow
- Scale invariance at the onset of turbulence in Couette flow
- From temporal to spatiotemporal dynamics in transitional plane Couette flow
- Spatiotemporal perspective on the decay of turbulence in wall-bounded flows
- Experimental investigation of laminar turbulent intermittency in pipe flow
- On modelling transitional turbulent flows using under-resolved direct numerical simulations: The case of plane Couette flow
- On the decay of turbulence in plane Couette flow
- Ginzburg--Landau description of laminar-turbulent oblique band formation in transitional plane Couette flow
- Formation of spanwise vorticity in oblique turbulent bands of transitional plane Couette flow, part 2: modelling and stability analysis
- Turbulent spot growth in plane Couette flow: statistical study and formation of spanwise vorticity
Cited by in corpus (4)
- The growth mechanism of turbulent bands in channel flow at low Reynolds numbers
- Trigger turbulent bands directly at low Reynolds numbers in channel flow using a moving-force technique
- Stochastic analysis of the time evolution of Laminar-Turbulent bands of plane Couette flow
- Formation of spanwise vorticity in oblique turbulent bands of transitional plane Couette flow, part 2: modelling and stability analysis