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

2001/04/16 by Krishna Kumar, Sanjay Chaudhuri, Alaka Das
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Geomagnetism and Paleomagnetism Studies #Nonlinear Dynamics and Pattern Formation #Theoretical and Computational Physics #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.65.026311

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

arxiv created 2001/04/16 · openalex publication_date 2002/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show the possibility of temporally 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 straight rolls and waves along these rolls in the presence of Coriolis force, if the 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.

Citations