Abstract
<p>The stability of a horizontal sparsely packed porous layer of a ferromagnetic fluid heated from below is examined when the fluid layer is subjected to time-dependent magnetic field modulation. The effects of the oscillating magnetic field are treated by a perturbation expansion in powers of the amplitude of the applied field. The onset criterion is derived based on the condition that the principle of exchange of stabilities is valid. The stability of the system, characterized by a correction Rayleigh number, is computed as a function of magnetic, porous parameters and the frequency of magnetic field modulation. It is found that the onset of magnetic field modulated ferroconvection can be delayed or advanced by controlling these parameters. The effect of various parameters is found to be significant for moderate values of the frequency of magnetic field modulation. The problem throws some light on external means of regulating convection in ferromagnetic fluid applications.</p>
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