Effect of magnetic field with helical lines of force on the capillary instability of magnetic fluids with the interface surrounding a current-carrying conductor

The subject of investigation is a configuration made up of immiscible magnetic fluids surrounding a long current-carrying conductor in the presence of an external longitudinal magnetic field. The axisymmetric problem of capillary instability of this configuration is considered in a linear statement. A dispersion relation is derived and analyzed, and neutral stability curves are constructed. The effect of the magnetic field and a step change in the permeabilities of the bordering fluids on the characteristic size of drops arising as a result of capillary disintegration of a continuous cylindrical layer of the magnetic fluid is discussed.