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

机译：具有大孔的多孔介质中二元混合物中垂直恒定通流的不稳定性

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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：考虑了一种二元混合物，该混合物使具有大孔并从下方均匀加热的水平多孔层饱和。分析了当层被一种盐（从上面或下面）盐化时，垂直流体运动（通流）的不稳定性。通过存在正不变和吸引集（即吸收集），证明了解决方案的最终有界性。恢复发生稳态或振荡不稳定性的临界瑞利数。找到稳定性损失后，有足够的条件保证可以观察到次级稳定运动或次级振荡运动。当从上面对层进行盐化时，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增加/减少的影响。

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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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