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

Krishna Kumar·Sanjay Chaudhuri·Alaka Das
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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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Krishna Kumar, Sanjay Chaudhuri, Alaka Das. 2001-04-16. Quasiperiodic waves at the onset of zero Prandtl number convection with rotation. https://doi.org/10.1103/physreve.65.026311

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