Abstract： The transition from an axisymmetric stationary flow to three-dimensional time-dependent flows is carefully studied in a vertical cylinder partially heated from the side, with the aspect ratio A=2 and Prandtl number P4=0.021. The flow develops from the steady toroidal pattern beyond the first instability threshold, breaks the axisymmetric state at a Rayleigh number near 2000, and transits to standing or travelling azimuthal waves. A new result is observed that a slightly unstable flow pattern of standing waves exists and will transit to stable travelling waves after a long time evolution. The onset of oscillations is associated with a supercritical Hopf bifurcation in a system with O(2) symmetry.
(Nonlinearity, bifurcation, and symmetry breaking)
引用本文:
MA Dong-Jun;SUN De-Jun;YIN Xie-Yuan. Axisymmetry Breaking to Travelling Waves in the Cylinder with Partially Heated Sidewall[J]. 中国物理快报, 2006, 23(6): 1515-1518.
MA Dong-Jun, SUN De-Jun, YIN Xie-Yuan. Axisymmetry Breaking to Travelling Waves in the Cylinder with Partially Heated Sidewall. Chin. Phys. Lett., 2006, 23(6): 1515-1518.
2006, Vol. 23 
