Symmetry Breaking, Anomalous Scaling and Large-Scale Flow Generation in a Convection Cell
| dc.creator | Tomboulides, Ananias G. | |
| dc.creator | Yakhot, Victor | |
| dc.date | 1999-09-15 | |
| dc.date.accessioned | 2026-07-07T02:36:00Z | |
| dc.date.available | 2026-07-07T02:36:00Z | |
| dc.description | We consider a convection process in a thin loop. At $Ra=Ra^{\prime}_{cr}$ a first transition leading to the generation of corner vortices is observed. At higher $Ra$ a coherent large-scale flow, which persists for a very long time, sets up. The mean velocity $\bar{v}$, mass flux $\dm$, and the Nusselt number $Nu$ in this flow scale with $Ra$ as $\bar{v} \propto \dot{m} \propto Ra^{0.45}$ and $Nu\propto Ra^{0.9}$, respectively. The time evolution of the coherent flow is well described by the Landau amplitude equation within a wide range of $Ra$-variation. The anomalous scaling of the mean velocity, found in this work, resembles the one experimentally observed in the ``hard turbulence'' regime of Benard convection. A possible relation between the two systems is discussed. | |
| dc.description | 27 pages, 19 figures | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9909025 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9909025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15765 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Symmetry Breaking, Anomalous Scaling and Large-Scale Flow Generation in a Convection Cell | |
| dc.type | text |