Critical Behaviour in the Relaminarisation of Localised Turbulence in Pipe Flow
| dc.creator | Willis, A. P. | |
| dc.creator | Kerswell, R. R. | |
| dc.date | 2006-08-30 | |
| dc.date.accessioned | 2026-07-07T07:25:58Z | |
| dc.date.available | 2026-07-07T07:25:58Z | |
| dc.description | The statistics of the relaminarisation of localised turbulence in a pipe are examined by direct numerical simulation. As in recent experimental data (Peixinho & Mullin, Phys. Rev. Lett. 96, 094501, 2006), the half life for the decaying turbulence is consistent with the scaling (Re_c-Re)^{-1}, indicating a boundary crisis of the localised turbulent state familiar in low-dimensional dynamical systems. The crisis Reynolds number, is estimated as Re_c=1870, a value within 7% of the experimental value 1750. We argue that the frequently-asked question of which Re and initial disturbance are needed to trigger sustained turbulence in a pipe, is really two separate questions: the `local phase space' question (local to the laminar state) of what threshold disturbance at a given Re is needed to initially trigger turbulence, followed by the `global phase space' question of whether Re exceeds Re_c at which point the turbulent state becomes an attractor. | |
| dc.description | 4 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0608292 | |
| dc.identifier | http://arxiv.org/abs/physics/0608292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116910 | |
| dc.subject | Fluid Dynamics | |
| dc.title | Critical Behaviour in the Relaminarisation of Localised Turbulence in Pipe Flow | |
| dc.type | text |