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Transition to Chaos in the Floating Half Zone Convection |
| AA Yan;CAO Zhong-Hua;HU Wen-Rui |
| National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080 |
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AA Yan, CAO Zhong-Hua, HU Wen-Rui 2007 Chin. Phys. Lett. 24 475-478 |
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Abstract The transition process from steady convection to chaos is experimentally studied in thermocapillary convections of floating half zone. The onset of temperature oscillations in the liquid bridge of floating half zone and further transitions of the temporal convective behaviour are detected by measuring the temperature in the liquid bridge. The fast Fourier transform reveals the frequency and amplitude characteristics of the flow transition. The experimental results indicate the existence of a sequence of period-doubling bifurcations that culminate in chaos. The measured Feigenbaum numbers are δ2 = 4.69 and δ4 = 4.6, which are comparable with the theoretical asymptotic value δ = 4.669.
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| Keywords:
47.27.Cn
47.20.Ky
47.20.Dr
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Received: 08 September 2006
Published: 24 February 2007
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| PACS: |
47.27.Cn
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(Transition to turbulence)
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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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47.20.Dr
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(Surface-tension-driven instability)
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[4] Saha A K, Biswas G and Muralidhar K 2000 J. Engin. Mech. 126 523
[5] Bucchignani E and Stella F 1999 Numerical Heat Transfer A 3617
[6] Tang Z M and Hu W R 1995 J. Heat Mass Transfer 38 3295 |
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