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首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Instability of natural convection in a vertical fluid layer with net horizontal throughflow
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Instability of natural convection in a vertical fluid layer with net horizontal throughflow

机译：净水平流量的垂直流体层中自然对流的不稳定性

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摘要

The implication of a uniform horizontal throughflow on the linear stability of buoyancy-driven convection in a vertical fluid layer is studied. The vertical boundaries of the fluid layer are rigid-permeable and holding at uniform but different temperatures. The instability to small-amplitude perturbations is tested by parameterizing the basic stationary flow through the Peclet number and the Prandtl number (representative of liquid mercury, air, water and oil). A modal analysis is performed, and the stability eigenvalue problem is solved numerically using the Chebyshev collocation method. The neutral stability curves are presented, and the critical values of the wave number, wave speed as well as the Grashof number are computed for different prescribed values of the governing parameters. The effect of horizontal throughflow on the stability of fluid flow is found to be dependent on the values of Prandtl number, and their intricacies have been discussed in detail. The results for the case of no throughflow are also highlighted as a particular case from the present study.
机译：研究了均匀水平通流对垂直流体层中浮力驱动对流线性稳定性的影响。流体层的垂直边界具有刚性渗透性，并保持在均匀但不同的温度下。通过将通过Peclet数和Prandtl数（代表液态汞、空气、水和油）的基本定常流参数化，测试了小振幅扰动的不稳定性。进行了模态分析，并用切比雪夫配点法数值求解了稳定性特征值问题。给出了中性点稳定性曲线，计算了不同控制参数规定值下的波数、波速和格拉肖夫数的临界值。发现水平通流对流体流动稳定性的影响取决于普朗特数的值，并对其复杂性进行了详细讨论。无通流情况下的结果也作为本研究的一个特例予以强调。

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