The effect of mechanical and thermal anisotropy on the stability of gravity driven convection in rotating porous media in the presence of thermal non-equilibrium

• Published in: Transport in porous media Vol. 69; no. 1; pp. 55 - 66
• Main Authors: Govender, Saneshan, Vadasz, Peter
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer 01.08.2007; Springer Nature B.V
• Subjects: Anisotropy; Coriolis effect; Earth sciences; Earth, ocean, space; Engineering and environment geology. Geothermics; Exact sciences and technology; Hydrocarbons; Hydrogeology; Hydrology. Hydrogeology; Local thermodynamic equilibrium; Pollution, environment geology; Porous media; Rayleigh number; Rayleigh-Benard convection; Sedimentary rocks; Solid phases; Stability analysis; models; anisotropy; permeability; fluid phase; rotation; thermodynamics; transport; Rayleigh number; Thermal anisotropy; convection; Taylor number; solid phase; Mechanical anisotropy; equilibrium; porous media; stability; theory; energy
• ISSN: 0169-3913; 1573-1634
• DOI: 10.1007/s11242-006-9063-6

We investigate Rayleigh–Benard convection in a porous layer subjected to gravitational and Coriolis body forces, when the fluid and solid phases are not in local thermodynamic equilibrium. The Darcy model (extended to include Coriolis effects and anisotropic permeability) is used to describe the flow, whilst the two-equation model is used for the energy equation (for the solid and fluid phases separately). The linear stability theory is used to evaluate the critical Rayleigh number for the onset of convection and the effect of both thermal and mechanical anisotropy on the critical Rayleigh number is discussed.