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

Saneshan Govender, Peter Vadasz

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)55-66
Number of pages12
JournalTransport in Porous Media
Volume69
Issue number1
DOIs
StatePublished - Aug 2007

Fingerprint

Porous materials
Gravitation
Anisotropy
Fluids
Thermodynamics
Convection
Hot Temperature

Keywords

  • Mechanical anisotropy
  • Rayleigh number
  • Rotation
  • Taylor number
  • Thermal anisotropy

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

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T1 - 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

AU - Govender, Saneshan

AU - Vadasz, Peter

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N2 - 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.

AB - 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.

KW - Mechanical anisotropy

KW - Rayleigh number

KW - Rotation

KW - Taylor number

KW - Thermal anisotropy

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