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首页> 外文期刊>International Journal of Heat and Mass Transfer >Transition to chaos in thermocapillary convection
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Transition to chaos in thermocapillary convection

机译：热毛细管对流过渡为混沌

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摘要

We present experiments on transition to chaos in thermocapillary convection in a rectangular pool of silicone oil. The applied temperature difference between the two sidewalls is adjusted in the range of 0-43 °C to observe various dynamic states. The applied temperature gradient along the fluid-gas interface drives shear flow along the free surface from hot to cold and a back flow in the underlying layer. With the increase of the temperature gradient, the thermocapillary convection will transit from steady flow to regularly oscillatory flow, and finally to chaos. A temperature measurement system, which consists of thermocouple, voltmeter and data-acquiring computer, is used to record the temperature of the liquid dynamically. In order to identify the different dynamic regimes from steady flow to chaos, fast Fourier transform and fractal theory are used to analyze the experimental data. The critical conditions for transition have been obtained and discussed by non-dimensional analysis. The quasi-periodic route and Fei-genbaum route were observed for different experimental conditions, and the relationship between oscillatory frequency and Marangoni number Ma has been discussed.
机译：我们介绍了在矩形硅油池中热毛细管对流过渡到混沌的实验。在两个侧壁之间施加的温差可在0-43°C的范围内调节，以观察各种动态状态。沿流体-气体界面施加的温度梯度驱动剪切流沿着自由表面从热到冷，并在下面的层中回流。随着温度梯度的增加，热毛细管对流将从稳定流转换为规则振荡流，最后变为混沌。由热电偶，电压表和数据采集计算机组成的温度测量系统用于动态记录液体的温度。为了识别从稳态流到混沌的不同动力学状态，使用快速傅立叶变换和分形理论分析了实验数据。过渡的关键条件已经获得，并通过无量纲分析进行了讨论。在不同的实验条件下观察到准周期路径和费根鲍姆路径，并讨论了振荡频率与马兰戈尼数Ma之间的关系。

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  • 作者

    Peng Zhu; Li Duan; Qi Kang;

  • 作者单位

    Key Laboratory of Microgravity (National Microgravity Laboratory), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China;

    Key Laboratory of Microgravity (National Microgravity Laboratory), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China;

    Key Laboratory of Microgravity (National Microgravity Laboratory), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    thermocapillary convection; transition to chaos; critical condition; transition route;

    机译：热毛细管对流;过渡到混乱;危急情况;过渡路线;

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