Key points are not available for this paper at this time.
A mathematical analysis of surface capillary waves on an incompressible liquid is presented. Periodic excitations in the form of hydraulic shocks due to cavitation are assumed in order to derive threshold conditions for ultrasonic atomization. Atomization threshold is found to be approximately linear with fluid viscosity for capillary waves oscillating at one-half the driving frequency. Another result of the analysis is a nondiscrete dispersion relation which allows a continuum of solutions within certain specified ranges of capillary wavelengths. Such a dispersion relation could partly account for the decrease in monodispersity of atomized droplets observed at high cavitation fields.
José M. Mir (Tue,) studied this question.