OSCILLATIONS AND PARAMETRIC INSTABILITY OF A CYLINDRICAL DROP OF A LOW-VISCOUS LIQUID

The focus of the research is on eigen oscillations and parametric instability of oscillations induced to a cylindrical drop surrounded by the gas whose effect is neglected. Axisymmetrical and translational vibrations are studied. Viscous boundary layer on the solid surface is taken into account, given the contact line is stationary. Eigen frequencies have been determined. In the first order of expansion, a correction to frequency is obtained, which is caused by dissipation in the viscous boundary layer. Regions of parametric instability have been found. Taking viscosity into account expectedly leads to the appearance of the vibrations amplitude terminal threshold and the resonance frequency shift.