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Axisymmetry Breaking to Travelling Waves in the Cylinder with Partially Heated Sidewall |
| MA Dong-Jun;SUN De-Jun;YIN Xie-Yuan |
| School of Engineering Science, University of Science and Technology of China, Hefei 230027 |
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| Cite this article: |
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MA Dong-Jun, SUN De-Jun, YIN Xie-Yuan 2006 Chin. Phys. Lett. 23 1515-1518 |
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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.
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| Keywords:
44.25.+f
47.27.Te
47.20.Ky
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Published: 01 June 2006
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| PACS: |
44.25.+f
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(Natural convection)
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47.27.te
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(Turbulent convective heat transfer)
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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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