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Instability of Vertical Constant Through Flows in Binary Mixtures in Porous Media with Large Pores

机译：通过多孔介质中的二元混合物中流动的垂直恒定的不稳定性

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摘要

A binary mixture saturating a horizontal porous layer, with large pores and uniformly heated from below, is considered. The instability of a vertical fluid motion (throughflow) when the layer is salted by one salt (either from above or from below) is analyzed. Ultimately boundedness of solutions is proved, via the existence of positively invariant and attractive sets (i.e. absorbing sets). The critical Rayleigh numbers at which steady or oscillatory instability occurs are recovered. Sufficient conditions guaranteeing that a secondary steady motion or a secondary oscillatory motion can be observed after the loss of stability are found. When the layer is salted from above, a condition guaranteeing the occurrence of cold instability is determined. Finally, the influence of the velocity module on the increasing/decreasing of the instability thresholds is investigated.
机译：考虑饱和水平多孔层的二元混合物，具有大孔并从下方均匀加热。分析将层盐盐（从上方或下方）盐盐时垂直流体运动（通过流程）的不稳定性。通过存在积极不变和有吸引力的套件（即吸收套装），已经证明了解决方案的最终界限。恢复出现稳定或振荡不稳定性的关键瑞利数。在发现稳定性丧失之后，可以在发现次级稳态运动或次级振荡运动的充分条件。当从上方盐盐时，确定保证发生冷不稳定性的条件。最后，研究了速度模块对不稳定性阈值的增加/降低的影响。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第4期|7379597.1-7379597.8|共8页
  • 作者

    Capone Florinda; De Luca Roberta; Torcicollo Isabella;

  • 作者单位

    Univ Napoli Federico II Dipartimento Matemat & Applicaz R Caccioppoli Via Cinzia I-80125 Naples Italy;

    Univ Napoli Federico II Dipartimento Matemat & Applicaz R Caccioppoli Via Cinzia I-80125 Naples Italy;

    CNR Ist Applicaz Calcolo M Picone Via P Castellino 111 I-80131 Naples Italy;

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