Quasiperiodic waves at the onset of zero Prandtl number convection with rotation

Details Quasiperiodic waves at the onset of zero Prandtl number convection with rotation Quasiperiodic waves at the onset of zero Prandtl number convection with rotation

2001-04-10

arxiv.org/abs/physics/0104036v3

Physics

Fluid Dynamics

9 pages of text (LaTex), 5 figures (Jpeg format)

Scientific paper

10.1103/PhysRevE.65.026311

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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