Dynamic Surface Tension of a Charged Spherical Water Droplet

Abstract

In asymptotic calculations of the first order of smallness in the dimensionless amplitude of water droplet oscillations, the effect of the dynamic surface tension on the oscillation parameters was investigated using a model of an ideal incompressible liquid. It was shown that the effect of the dynamic surface tension strongly manifests itself at frequencies of external influences that are inversely proportional to the water relaxation time. At such frequencies, under the action of external influences, the electrical double layer is destroyed (the ordering of water molecules in the near-surface layer is disrupted). As a result, the free energy of the surface increases, and so does the liquid surface tension. The dynamic surface tension affects the acoustic radiation from the droplet by altering the coefficient of surface tension. The contribution to the electromagnetic radiation of the oscillating droplet is made by the disruption of the order of near-surface water molecules in the electrical double layer.