Temporary Evolution of the Amplitudes of Capillary Waves on the Surface of a Charged Jet, Moving Relative to a Material Dielectric Medium

Abstract

A solution to the problem of calculating the temporary evolution of amplitudes of capillary waves of an arbitrary symmetry on the surface of a cylindrical jet of an ideal incompressible conductive liquid moving relative to an ideal incompressible dielectric medium is offered, taking into account multimodal initial conditions. Analytical expressions for the temporary evolution of the amplitudes of waves on a jet, amplitude values of hydrodynamic potentials of velocity fields on a jet and in a medium, and the electric potential of the field in the neighborhood of the jet. An assessment of the characteristic time of a separation of a drop from a jet is performed.