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Fluids 2017, 2(3), 39; doi:10.3390/fluids2030039

Interaction of the Longwave and Finite-Wavelength Instability Modes of Convection in a Horizontal Fluid Layer Confined between Two Fluid-Saturated Porous Layers

1
Computational Fluid Dynamics Laboratory, Institute of Continuous Media Mechanics UB RAS, Ak. Koroleva str. 1, 614013 Perm, Russia
2
Theoretical Physics Department, Perm State University, Bukireva str. 15, 614990 Perm, Russia
*
Author to whom correspondence should be addressed.
Received: 2 May 2017 / Revised: 6 July 2017 / Accepted: 14 July 2017 / Published: 16 July 2017
(This article belongs to the Special Issue Convective Instability in Porous Media)
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Abstract

The onset of convection in a three-layer system consisting of two fluid-saturated porous layers separated by a homogeneous fluid layer is studied. It is shown that both a longwave convective regime developing in the whole system and a finite-wavelength regime of convection concentrated in the homogeneous fluid layer are possible. Due to the hydraulic resistance of the porous matrix, the flow intensity in the longwave convective regime is much lower than that in the finite-wavelength regime. Moreover, it grows at a much slower pace with the increase of the Grashof number. Because of that, the long-wave convective regime becomes unstable at small supercriticalities and is replaced by a finite-wavelength regime. View Full-Text
Keywords: thermal convection; porous medium; multilayer system; longwave and finite-wavelength instability modes; non-linear regimes thermal convection; porous medium; multilayer system; longwave and finite-wavelength instability modes; non-linear regimes
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Lyubimova, T.P.; Muratov, I.D. Interaction of the Longwave and Finite-Wavelength Instability Modes of Convection in a Horizontal Fluid Layer Confined between Two Fluid-Saturated Porous Layers. Fluids 2017, 2, 39.

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