Capillary and Gravity Surface Waves with Accompanied Ligaments: Asymptotic Theory and Drop Impact Experiment

Abstract

Capillary, gravity, and capillary-gravity surface periodic flows in different fluid models are investigated analytically using the theory of singular perturbations. Models of viscous and ideal, homogeneous, or uniformly stratified fluids are considered. The periodic surface flow in the viscous fluid model contains ligaments that are thin trickles, in addition to the wave component. Approximate expressions of the dispersion relations for all flow components in the models under consideration are presented. The studied components observed experimentally at all stages of the evolution of the drop impact flow.