Influence of effective medium permeability on stability of a two-layer system "pure fluid-porous medium" under high-frequency vibrations

Authors

  • Ekaterina Andreevna Kolchanova Institute of Continuous Media Mechanics UB RAS
  • Dmitriy Victorovich Lyubimov Perm State National Research University
  • Tatiana Petrovna Lyubimova Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2012.5.2.27

Keywords:

convection, porous medium permeability, two-layer system, vibration

Abstract

In the framework of the averaged approach a linear stability problem for a two-layer system consisting of pure fluid layer and porous medium saturated by the fluid under gravity and vertical high-frequency vibrations is investigated. It is shown that in the presence of vibrations neutral curves are bimodal in some range of parameters as in the case of a static gravity field. Vibrations stabilize the equilibrium of the two-layer system and increase the length of most unstable perturbation waves. Moreover, vibrations make long-wave perturbations to be most unstable at lower porous medium permeability and larger fluid layer thickness than in the absence of vibrations.

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Published

2012-07-01

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Articles

How to Cite

Kolchanova, E. A., Lyubimov, D. V., & Lyubimova, T. P. (2012). Influence of effective medium permeability on stability of a two-layer system "pure fluid-porous medium" under high-frequency vibrations. Computational Continuum Mechanics, 5(2), 225-232. https://doi.org/10.7242/1999-6691/2012.5.2.27