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Period-doubling bifurcations of the thermocapillary convection in a floating half zone

Science china(Physics,mechanics & Astronomy) 2010年第9期53卷 1681-1686页

作者： aa yan,li kai,tang zemei,cao zhonghua & hu wenrui national microgravity laboratory,{4.,chinese academy of sciences,Beijing 100190,china national microgravity laboratory Institute of Mechanics Chinese Academy of Sciences Beijing China

This study experimentally explored the fine structures of the successive period-doubling bifurcations of the time-dependent thermocapillary convection in a floating half zone of 10 cSt silicone oil with the diameter d0=3.00 mm and the aspect ratio A=l/d0=0.72 in terrestrial *** onset of time-dependent thermocapillary convection predominated in this experimental configuration and its subsequent evolution were experimentally detected through the local temperature *** experimental results revealed a sequence of period-doubling bifurcations of the time-dependent thermocapillary convection,similar in some way to one of the routes to chaos for buoyant natural *** critical frequencies and the corresponding fractal frequencies were extracted through the real-time analysis of the frequency spectra by Fast-Fourier-Transfor-mation(FFT).The projections of the trajectory onto the reconstructed phase-space were also ***,the experimentally predicted Feigenbaum constants were quite close to the theoretical asymptotic value of 4.669 [Feigenbaum M *** Lett A,1979,74.375-378].

关键词： thermocapillary convection bifurcation transition to turbulence

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Aspect-ratio dependent oscillatory thermocapillary convection in the floating half zone

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Science china(Physics,mechanics & Astronomy) 2011年第2期54卷 338-341页

作者： aa yan li kai cao zhonghua {4. wenrui Key laboratory of microgravity Institute of Mechanics Chinese Academy of Sciences Beijing 100190 china and national microgravity laboratory Institute of Mechanics Chinese Academy of Sciences Beijing 100190 China

The dependency of the critical Marangoni number on the geometrical aspect ratio of the floating half zone is essential to predict the onset of oscillatory thermocapillary *** experimental studies in the microgravity conditions on floating half zones of several centimeters in diameter have predicted that the critical Marangoni number increases with the increasing aspect ratio,and the terrestrial experimental studies have predicted the contradictory conclusion for floating half zones of several millimeters in *** the present work,terrestrial experimental studies were conducted on the floating half zones of 5 Centistokes(cSt) silicon oil and 10 cSt silicon *** experimental results show that the critical Marangoni number generally increases with the increasing aspect ratio of the floating half zone and then ***,a further increase of the critical Marangoni number with the increasing aspect ratio occurs for the slender floating half zones.

关键词： thermocapillary convection flow instability aspect ratio

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