The effect of a time harmonic-magnetic field on the stability of cylindrical ferrofluids in the presence of heat and mass transfer
The stability of two ferrofluids separated by a cylindrical interface and pervaded by a time harmonic-magnetic field is considered. The magnetic fluids are sandwiched between two rigid cylindrical edges. The cylindrical interface allows heat and mass transfer. A general dispersion equation is obtained. Some previous studies are compared using appropriate data. The case of a uniform field has been studied before, the attention is thus focussed to the case of the periodic field. The transition curves are obtained by means of Whittaker's technique. The analytical results are confirmed numerically. It is found that heat and mass transfer and the frequency of the magnetic field have a destabilizing influence.