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Analysis of the convective instability of a binary mixture in a porous medium

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Abstract

The problem of the stability of a binary mixture in a porous medium is investigated in the complete formulation with allowance for cross kinetic and gravitational effects. Boundary conditions of the first and second kinds for a plane horizontal layer of the porous medium are considered. The boundaries of the region of instability are determined. The region of the parameters corresponding to the “stability paradox” effect, i.e., the instability of a mixture that becomes heavier with depth, is described. It is established that the multicomponent nature of the mixture helps to stabilize the equilibrium state.

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Authors and Affiliations

  1. Moscow

    P. G. Bedrikovetskii, D. G. Polonskii & A. A. Shapiro

Authors
  1. P. G. Bedrikovetskii
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  2. D. G. Polonskii
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  3. A. A. Shapiro
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Additional information

Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 110–119, January–February, 1993.

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Bedrikovetskii, P.G., Polonskii, D.G. & Shapiro, A.A. Analysis of the convective instability of a binary mixture in a porous medium. Fluid Dyn 28, 82–89 (1993). https://doi.org/10.1007/BF01055669

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  • DOI: https://doi.org/10.1007/BF01055669

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