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EFFECT OF VERTICAL VIBRATIONS ON THE ONSET OF BINARY CONVECTION

机译：垂直振动对二元对流开始的影响

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摘要

In the present work the linear stability analysis of double diffusive convection in a binary fluid layer is performed. The major intention of this study is to investigate the influence of time-periodic vertical vibrations on the onset threshold. A regular perturbation method is used to compute the critical Rayleigh number and wave number. A closed form expression for the shift in the critical Rayleigh number is calculated as a function of frequency of modulation, the solute Rayleigh number, Lewis number, and Prandtl number. These parameters are found to have a significant influence on the onset criterion; therefore the effective control of convection is achieved by proper tuning of these parameters. Vertical vibrations are found to enhance the stability of a binary fluid layer heated and salted from below. The results of this study are useful in the areas of crystal growth in micro-gravity conditions and also in material processing industries where vertical vibrations are involved.
机译：在本工作中，对二元流体层中的双扩散对流进行了线性稳定性分析。这项研究的主要目的是研究时间周期垂直振动对开始阈值的影响。使用常规摄动方法来计算临界瑞利数和波数。根据调制频率，溶质瑞利数，刘易斯数和普朗特数，计算出临界瑞利数偏移的闭式表达式。发现这些参数对发病标准有重大影响。因此，通过适当调整这些参数可实现对流的有效控制。发现垂直振动增强了从下方加热和盐化的二元流体层的稳定性。这项研究的结果在微重力条件下的晶体生长领域以及涉及垂直振动的材料加工行业中都非常有用。

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