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Thermomagnetic convection in a ferrofluid layer exposed to a time-periodic magnetic field
Phys. Rev. E 80, 026314 – Published 21 August, 2009
DOI: https://doi.org/10.1103/PhysRevE.80.026314
Abstract
We have investigated the influence of a time-periodic and spatially homogeneous magnetic field on the linear stability properties and on the nonlinear response of a ferrofluid layer heated from below and from above. A competition between stabilizing thermal and viscous diffusion and destabilizing buoyancy and Kelvin forces occurs. Floquet theory is used to determine the stability boundaries of the motionless conductive state for a harmonic and subharmonic response. Full numerical simulations with a finite difference method were made to obtain nonlinear convective states. The effect of low- and high-frequency modulation on the stability boundaries as well as on the nonlinear oscillations that may occur is investigated.
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