Nonlinear resonance interaction of waves on a jet in a radial electric field

Abstract

Nonlinear analytic asymptotic second-order calculations show that the motion of a charged jet relative to a material medium results in the appearance of rise-time periodic wave motions of the interface (Kelvin-Helmholtz instabilities), as well as an internal nonlinear resonance interaction of waves, whose parameters (the intensity and the characteristic time of interaction) depend on the physical parameters of the system: the electric charge density at the jet, its velocity relative the medium, the mass density, the values of the wavenumbers of the interacting waves, and the value of the surface tension coefficient of the boundary.