Bending and Deformation Waves on the Surface of a Volumetrically Charged Cylindrical Jet of Dielectric Liquid Moving in Material Medium

Abstract

Analytical research into the stability of axially asymmetric capillary waves on the surface of a volumetrically charged cylindrical jet of an ideal incompressible dielectric liquid that moves in an ideal incompressible dielectric medium made it possible to specify the conditions for realization of instability of waves with azimuthal numbers 1 and 2, which corresponds to excitement of bending and deformation waves. It was found that realization of the Kelvin-Helmholtz instability occurs on the media interface because of a tangential jump of the field of velocities on the jet surface for the axially asymmetric waves. The linear dimensions of wave numbers' ranges of unstable waves and the sizes of increments of instability are defined by values of the charging Weber’s parameters. The variation of dielectric permeability of a jet and medium affects the characteristics of wave motions, including those in the range of instability realization.