Anisotropy and symmetry in porous medium convection

DOI10.1007/s00707-008-0135-2zbMath1184.76663OpenAlexW2000783235MaRDI QIDQ1045872

Maurizio Gentile, Antony A. Hill, Florinda Capone

Publication date: 16 December 2009

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-008-0135-2

zbMATH Keywords

linear stabilitynonlinear stabilityDarcy-Boussinesq equations

Mathematics Subject Classification ID

Related Items (23)

Three dimensional simulations of penetrative convection in a porous medium with internal heat sources ⋮ Boundary and inertia effects on the stability of natural convection in a vertical layer of an anisotropic Lapwood-Brinkman porous medium ⋮ Triple diffusive convection in porous media ⋮ Penetrative convection via internal heating in anisotropic porous media ⋮ Convection problems in anisotropic porous media with nonhomogeneous porosity and thermal diffusivity ⋮ Onset of convection for ternary fluid mixtures saturating horizontal porous layers with large pores ⋮ Magnetic effect on instability and nonlinear stability in a reacting fluid ⋮ Effect of Vadasz term on the onset of convection in a Darcy-Brinkman anisotropic rotating porous medium in LTNE ⋮ Thermal convection in a Darcy porous medium with anisotropic spatially varying permeability ⋮ Global nonlinear stability for a triply diffusive convection in a porous layer ⋮ Penetrative convection in anisotropic porous media with variable permeability ⋮ Porous convection and thermal oscillations ⋮ Long-time behaviour of multi-component fluid mixtures in porous media ⋮ On the nonlinear stability of ternary porous media via only one necessary and sufficient algebraic condition ⋮ Soret effects on the onset of convection in rotating porous layers via the ``auxiliary system method ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Heat and mass transfer by convection in multicomponent Navier-Stokes mixtures: absence of subcritical instabilities and global nonlinear stability via the Auxiliary System Method ⋮ Non-linear singular integral representation for petroleum reservoir engineering ⋮ Effect of anisotropy on the onset of convection in rotating bi-disperse Brinkman porous media ⋮ Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow ⋮ Stability of buoyancy-driven convection in an Oldroyd-B fluid-saturated anisotropic porous layer ⋮ Absence of subcritical instabilities and global nonlinear stability for porous ternary diffusive-convective fluid mixtures ⋮ Multicomponent diffusive-convective fluid motions in porous layers: Ultimately boundedness, absence of subcritical instabilities, and global nonlinear stability for any number of salts

Cites Work

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• Anisotropic modelling of thermal convection in multilayered porous media
• Nonlinear thermal convection in anisotropic porous media
• Convective Instabilities in Anisotropic Porous Media
• Convection in Porous Media
• Stability and Wave Motion in Porous Media
• Global stability for penetrative convection with throughflow in a porous material
• Onset of convection in an anisotropic porous medium with oblique principal axes

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