Stability of Capillary Waves on the Charged Surface of a Liquid Layer on a Conductive Cylindrical Firm Bar

CZU 532.5

Analytically, in a linear approach on the dimensionless amplitude of oscillation, the dispersion equation for capillary waves is obtained on the charged liquid layer surfaces on a conductive cylindrical firm bar of the final thickness. It is shown that the firm core has the stabilization effect on capillary waves and reduces the destabili-zing influence of a radial electric field. The influence of a core becomes essential only at the values of the radius, comparable with a outer radius of the cover. The higher the density of a superficial charge, the wider the range of unstable wave numbers, and the higher the values of the instability increase increments.

Keywords: cylindrical jet, ideal liquid, surface density of charge, liquid layer, firm core.