Traveling-Wave Convection with Periodic Source Defects in Binary Fluid Mixtures with Strong Soret Effect.
Traveling-Wave Convection with Periodic Source Defects in Binary Fluid Mixtures with Strong Soret Effect.
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强索雷效应二元流体混合物中具有周期性源缺陷的行波对流
DOI：
10.3390/e22030283
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发表时间：
2020-02-29
期刊：
影响因子：
--
通讯作者：
Ye M
中科院分区：
文献类型：
--
作者：
Zheng L;Zhao B;Yang J;Tian Z;Ye M
本文研究了矩形容器中具有强Soret效应(分离比)的二元混合流体中的Rayleigh-Bénard对流。我们使用高精度紧致有限差分方法来求解描述Rayleigh-Bénard对流的流体动力学方程。得到了具有周期源缺陷的稳定行波对流态(PSD-TW)，并对其性质进行了详细的讨论。我们的数值结果表明，这种新的PSD-TW态是由Eck haus不稳定性以及容器左右边界对流卷曲的产生频率和湮灭频率的差异所维持的。在PSD-TW态稳定的瑞利数范围内，随着瑞利数的增加，缺陷出现的周期先增大后减小。在这个范围的上限，系统从PSD-TW态转变到另一种具有非周期和更多位错缺陷的行波态。此外，我们还考虑了普朗特数在0.120之间，刘易斯数在0.001到1之间的问题，讨论了PSD-TW态的稳定性，并给出了相图。
This paper studied the Rayleigh–Bénard convection in binary fluid mixtures with a strong Soret effect (separation ratio ) in a rectangular container heated uniformly from below. We used a high-accuracy compact finite difference method to solve the hydrodynamic equations used to describe the Rayleigh–Bénard convection. A stable traveling-wave convective state with periodic source defects (PSD-TW) is obtained and its properties are discussed in detail. Our numerical results show that the novel PSD-TW state is maintained by the Eckhaus instability and the difference between the creation and annihilation frequencies of convective rolls at the left and right boundaries of the container. In the range of Rayleigh number in which the PSD-TW state is stable, the period of defect occurrence increases first and then decreases with increasing Rayleigh number. At the upper bound of this range, the system transitions from PSD-TW state to another type of traveling-wave state with aperiodic and more dislocated defects. Moreover, we consider the problem with the Prandtl number ranging from 0.1 to 20 and the Lewis number from 0.001 to 1, and discuss the stabilities of the PSD-TW states and present the results as phase diagrams.
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