Hall effect on thermal stability of ferromagnetic fluid in porous medium in the presence of horizontal magnetic field

This paper deals with the theoretical investigation of the effect of Hall currents on the thermal stability of a ferromagnetic fluid heated from below in porous medium. For a fluid layer between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode an...

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Bibliographic Details
Published in:Thermal science 2014-01, Vol.18 (suppl.2), p.S503-514
Main Authors: Aggarwal, Amrish Kumar, Makhija, Suman
Format: Article
Language:English
Subjects:
Convection
Exact solutions
Ferromagnetism
Fluid dynamics
Fluid flow
Fluids
Free boundaries
Hall effect
Heat exchange
Magnetic fields
Magnetic permeability
Magnetism
Magnetization
Permeability
Porous media
Stability analysis
Thermal instability
Thermal stability
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Summary:This paper deals with the theoretical investigation of the effect of Hall currents on the thermal stability of a ferromagnetic fluid heated from below in porous medium. For a fluid layer between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis. A dispersion relation governing the effects of medium permeability, a uniform horizontal magnetic field, magnetization and Hall currents is derived. For the case of stationary convection, it is found that the magnetic field and magnetization have a stabilizing effect on the system, as such their effect is to postpone the onset of thermal instability whereas Hall currents are found to hasten the onset of thermal instability. The medium permeability hastens the onset of convection under certain conditions. The principle of exchange of stabilities is not valid for the problem under consideration whereas in the absence of Hall currents (hence magnetic field), it is valid under certain conditions.
ISSN:0354-9836
2334-7163
DOI:10.2298/TSCI110714086A