dorsal/arxiv
View SchemaOnset of unsteady horizontal convection in rectangle tank at $Pr=1$
| Authors | Liang Sun, Dong-Jun MA, Wei Zhang, De-Jun Sun |
|---|---|
| Categories | |
| ArXiv ID | physics/0702037 |
| URL | https://arxiv.org/abs/physics/0702037 |
| DOI | 10.1088/0256-307X/25/6/054 |
| Journal | Chin. Phys. Lett. 2008, 25(6), 2121-2124 |
Abstract
The horizontal convection within a rectangle tank is numerically simulated. The flow is found to be unsteady at high Rayleigh numbers. There is a Hopf bifurcation of $Ra$ from steady solutions to periodic solutions, and the critical Rayleigh number $Ra_c$ is obtained as $Ra_c=5.5377\times 10^8$ for the middle plume forcing at $Pr=1$, which is much larger than the formerly obtained value. Besides, the unstable perturbations are always generated from the central jet, which implies that the onset of instability is due to velocity shear (shear instability) other than thermally dynamics (thermal instability). Finally, Paparella and Young's [J. Fluid Mech. 466 (2002) 205] first hypotheses about the destabilization of the flow is numerically proved, i.e. the middle plume forcing can lead to a destabilization of the flow.
{
"annotation_id": "b9a61f7a-04f6-4d36-a191-81f0e4045d18",
"date_created": "2026-03-02T18:01:18.086000Z",
"date_modified": "2026-03-02T18:01:18.086000Z",
"file_hash": "3d8e6efa0731766a841e42e682ec309b16c63ffac03f85e991180897df7c9975",
"private": false,
"record": {
"abstract": "The horizontal convection within a rectangle tank is numerically simulated.\nThe flow is found to be unsteady at high Rayleigh numbers. There is a Hopf\nbifurcation of $Ra$ from steady solutions to periodic solutions, and the\ncritical Rayleigh number $Ra_c$ is obtained as $Ra_c=5.5377\\times 10^8$ for the\nmiddle plume forcing at $Pr=1$, which is much larger than the formerly obtained\nvalue. Besides, the unstable perturbations are always generated from the\ncentral jet, which implies that the onset of instability is due to velocity\nshear (shear instability) other than thermally dynamics (thermal instability).\nFinally, Paparella and Young\u0027s [J. Fluid Mech. 466 (2002) 205] first hypotheses\nabout the destabilization of the flow is numerically proved, i.e. the middle\nplume forcing can lead to a destabilization of the flow.",
"arxiv_id": "physics/0702037",
"authors": [
"Liang Sun",
"Dong-Jun MA",
"Wei Zhang",
"De-Jun Sun"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph"
],
"doi": "10.1088/0256-307X/25/6/054",
"journal_ref": "Chin. Phys. Lett. 2008, 25(6), 2121-2124",
"title": "Onset of unsteady horizontal convection in rectangle tank at $Pr=1$",
"url": "https://arxiv.org/abs/physics/0702037"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5ea526ec-19da-44ff-af05-91a95dec30bc",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}