dorsal/arxiv
View SchemaQuasiperiodic waves at the onset of zero Prandtl number convection with rotation
| Authors | Krishna Kumar, Sanjay Chaudhuri, Alaka Das |
|---|---|
| Categories | |
| ArXiv ID | physics/0104036 |
| URL | https://arxiv.org/abs/physics/0104036 |
| DOI | 10.1103/PhysRevE.65.026311 |
Abstract
We show the possibility of quasiperiodic waves at the onset of thermal convection in a thin horizontal layer of slowly rotating zero-Prandtl number Boussinesq fluid confined between stress-free conducting boundaries. Two independent frequencies emerge due to an interaction between a stationary instability and a self-tuned wavy instability in presence of coriolis force, if Taylor number is raised above a critical value. Constructing a dynamical system for the hydrodynamical problem, the competition between the interacting instabilities is analyzed. The forward bifurcation from the conductive state is self-tuned.
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"abstract": "We show the possibility of quasiperiodic waves at the onset of thermal\nconvection in a thin horizontal layer of slowly rotating zero-Prandtl number\nBoussinesq fluid confined between stress-free conducting boundaries. Two\nindependent frequencies emerge due to an interaction between a stationary\ninstability and a self-tuned wavy instability in presence of coriolis force, if\nTaylor number is raised above a critical value. Constructing a dynamical system\nfor the hydrodynamical problem, the competition between the interacting\ninstabilities is analyzed. The forward bifurcation from the conductive state is\nself-tuned.",
"arxiv_id": "physics/0104036",
"authors": [
"Krishna Kumar",
"Sanjay Chaudhuri",
"Alaka Das"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.65.026311",
"title": "Quasiperiodic waves at the onset of zero Prandtl number convection with rotation",
"url": "https://arxiv.org/abs/physics/0104036"
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