Convective instability of ferromagnetic fluids bounded by fluid-permeable, magnetic boundaries

摘要

Convective instability of a ferromagnetic fluid in a Rayleigh-Benard situation between fluid-permeable, magnetic boundaries and subject to an external constraint of a uniform, transverse magnetic field is studied. The fluid-permeable, magnetic boundaries require general boundary conditions on the velocity and the scalar magnetic potential. For these, the Garlerkin method predicts the critical eigenvalue to be between that of free-free and rigid-rigid boundaries. The paper also reaffirms the qualitative findings of earlier investigations which are, in fact, limiting cases of the present study. © 1995.