Deformation of a magnetic liquid drop and unsteady flow inside and outside it in a non-stationary magnetic field

Small steady-state deformational oscillations of a drop of a viscous magnetic liquid in a non-stationary uniform magnetic field are theoretically investigated for low Reynolds numbers. The drop is suspended in another viscous magnetic liquid immiscible with the former. The non-stationary magnetic field causes flow inside and outside the drop. The inertia is taken into account by regarding the flow as essentially unsteady. The variation of the magnetic field is so slow that the approximation of quasi-stationary magnetic field may be used.