Ferromagnetic Convection in a Heterogeneous Darcy Porous Medium Using a Local Thermal Non-equilibrium (LTNE) Model |
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| Authors: | I S Shivakumara Chiu-On Ng M Ravisha |
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| Institution: | 1.Department of Mechanical Engineering,The University of Hong Kong,Hong Kong,Hong Kong;2.UGC-CAS in Fluid Mechanics, Department of Mathematics,Bangalore University,Bangalore,India;3.Department of Mathematics,Smt. Rukmini Shedthi Memorial National Government First Grade College,Barkur,India |
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| 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. |
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