Abstract
The effect of a time-periodic magnetic field on the onset of convection in a horizontal magnetic fluid layer heated from above and bounded by isothermal nonmagnetic boundaries is investigated. We consider the case where the magnetic field obeys a periodic rectangular pulse. A first-order Galerkin method is performed to reduce the governing linear system to a parametric differential equation. Therefore, the Floquet theory is used to determine the convective threshold for the rigid–rigid and free–free cases. With an appropriate choice of the ratio of the magnetic and gravitational forces, we show the possibility to produce a competition between the harmonic and subharmonic modes at the onset of convection.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
