The aim of this paper is to study the effect of magnetic field and
suspended particles on thermal convection in ferromagnetic fluid with varying
gravity field saturating in a porous medium. A linear stability analysis and
normal mode analysis methods are used to find the exact solution for a
ferromagnetic fluid layer contained between two free boundaries. A dispersion
relation governing the effect of magnetic field, suspended particles and medium
permeability is derived theoretically. From the analysis, we have found that in
case of stationary convection, the magnetic field has stabilizing effect on the
system for λ>0 and has a destabilizing effect for λ<0. For stationary
convection, it is also found that suspended particles and medium permeability
have destabilizing effect on the system under the condition λ>0 whereas for
λ<0, the nature of their effect reverses i.e. both parameters stabilizes the
system for λ<0. Further, the case of oscillatory mode is also considered. It
is found that the principle of exchange of stabilities is valid for the problem
under certain condition. The effect of all studied parameters on ferromagnetic
fluid is also verified numerically. - See more at:
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