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- Title
Ferromagnetic Convection in a Heterogeneous Darcy Porous Medium Using a Local Thermal Non-equilibrium (LTNE) Model.
- Authors
Shivakumara, I.; Ng, Chiu-On; Ravisha, M.
- Abstract
The combined effects of vertical heterogeneity of permeability and local thermal non-equilibrium (LTNE) on the onset of ferromagnetic convection in a ferrofluid saturated Darcy porous medium in the presence of a uniform vertical magnetic field are investigated. A two-field model for temperature representing the solid and fluid phases separately is used. The eigenvalue problem is solved numerically using the Galerkin method for different forms of permeability heterogeneity function Γ( z) and their effect on the stability characteristics of the system has been analyzed in detail. It is observed that the general quadratic variation of Γ( z) with depth has more destabilizing effect on the system when compared to the homogeneous porous medium case. Besides, the influence of LTNE and magnetic parameters on the criterion for the onset of ferromagnetic convection is also assessed.
- Subjects
SOLID-liquid interface thermodynamics; PERMEABILITY; POROSITY; FERROMAGNETIC materials; EIGENVALUES; GALERKIN methods
- Publication
Transport in Porous Media, 2011, Vol 90, Issue 2, p529
- ISSN
0169-3913
- Publication type
Article
- DOI
10.1007/s11242-011-9798-6