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Condition of the onset and nonlinear regimes of convection of a three-component isothermal mixture in a porous rectangle under modulation of the concentration gradient

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Abstract

Convection of an isothermal three-component mixture saturating a porous block with a rectangular cross-section is investigated numerically when the concentration gradient of one of the components is modulated about a certain mean value. The shape of the neutral curves separating the growing and decaying disturbances in the amplitude-modulation frequency plane is investigated for various diffusion Rayleigh numbers. The results of calculations based on the linearized and complete systems of equations which describe convection of a mixture in a porous medium are analyzed and compared. The supercritical regimes of concentration convection are studied for steady-state boundary conditions and in the case of a periodic modulation of the concentration gradient of one of the components.

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Authors
  1. N. S. Bulgakova
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Original Russian Text © N.S. Bulgakova, 2012, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2012, Vol. 47, No. 5, pp. 59–71.

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Bulgakova, N.S. Condition of the onset and nonlinear regimes of convection of a three-component isothermal mixture in a porous rectangle under modulation of the concentration gradient. Fluid Dyn 47, 608–619 (2012). https://doi.org/10.1134/S0015462812050080

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  • DOI: https://doi.org/10.1134/S0015462812050080

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