Four laws of energy and momentum losses during capillary jet disintegration

Abstract

Very simple and strict equations thoroughly characterizing the effect of capillary self-retardation of a droplet in the process of its detachment from the continuous part of a disintegrating jet, this effect having been revealed earlier and then confirmed experimentally, are derived from Newton’s laws of momentum and energy variations. Equations describe four total (over the time of disintegration) losses of the momentum, translational energy, total energy, and internal energy per unit mass of a liquid. As the rate of an initial cylindrical jet rises, the loss of momentum and internal energy unlimitedly decreases, the loss of translational energy limitedly rises, and the loss of total energy remains unchanged.