Oscillations of a Capillary Jet of Finite Electrical Conductivity in the Presence of a Uniform Axial Magnetic Field

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Abstract
The oscillations of a capillary jet of finite electrical conductivity in the presence of a uniform axial magnetic field are investigated for general perturbations. The dispersion relation is obtained and examined under various limiting cases of electrical conductivity; in particular, for the case of high resistivity an approximate formula for the frequency of oscillations of the jet is obtained. It is found that for nonaxisymmetric perturbations, the modes of oscillation of the jet are always stable and damped. The damping constant of the oscillations for different values of the wavenumber are tabulated for the case m = 1.

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