Abstract:
It is proved analytically that the complex growth rate w = wr+iwi are respectively the real and imaginary parts of w.of an arbitrary oscillatory motion of growing amplitude in ferromagnetic convection in a rotating porous medium for the case of free boundaries, must lie inside a semicircle in the right half of the wrwi plane whose centre is origin and where R is the Rayleigh number. Further, bounds for the case of rigid boundaries are also derived separately.
Keywords: Ferrofluid, Rotation, Porous medium, Oscillatory motion, Darcy Model, Ferroconvection.