Convective Instabilities in Anisotropic Porous Media

DOI10.1002/sapm1994913189zbMath0792.76027OpenAlexW2263012932MaRDI QIDQ4286243

P. N. Kaloni, Y. Qin

Publication date: 7 August 1994

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1994913189

zbMATH Keywords

stability criteriaRayleigh-Bénard convectionBrinkman's equationhigh porosity single viscous fluidlow porosity Darcy approximation

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Flows in porous media; filtration; seepage (76S05)

Related Items

On the stability and uniqueness of the flow of a fluid through a porous medium, Continuous dependence on the Forchheimer coefficient of the Forchheimer fluid interfacing with a Darcy fluid, Penetrative convection via internal heating in anisotropic porous media, Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions, Convection problems in anisotropic porous media with nonhomogeneous porosity and thermal diffusivity, Onset of convection in porous materials with vertically stratified porosity, Penetrative convection in anisotropic porous media with variable permeability, Structural Stability for the Brinkman Equations of Porous Media, Effect of anisotropic permeability on Darcy's law, Nonlinear stability analysis of a fluid saturated anisotropic Darcy-Brinkman medium with internal heat source, Physics of unsteady Couette flow in an anisotropic porous medium, Stability and Newton's law of cooling in double diffusive flow, Anisotropy and symmetry in porous medium convection

Cites Work

• The Brinkman model for natural convection about a semi-infinite vertical flat plate in a porous medium
• Exchange of stabilities, symmetry, and nonlinear stability
• Boundary and inertia effects on flow and heat transfer in porous media
• Asymptotic analysis of natural convection through horizontal porous layer
• The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation
• Convective instability in superposed fluid and anisotropic porous layers
• Steady convection in a porous medium based upon the Brinkman model
• Nonlinear thermal convection in anisotropic porous media
• Onset of convection in an anisotropic porous medium with oblique principal axes
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles