The nonlinear breakup of an inviscid liquid jet
Abstract
A liquid jet originating from a nozzle with radius r_{0}∗ breaks up into droplets in consequence of disturbances of certain frequencies, depending on the fluid properties and the nozzle geometry. A theoretical model is developed to describe the growth of these disturbances at the jet surface. The model is based on the inviscid and irrotational flow governed by the Laplace equation together with the kinematical and dynamical conditions at the free surface of the jet. A comparison is made between the model and experimental data from literature. The model predicts a dependence on the disturbance amplitude of the breakoff mode. Contrary to other experimental results, the model predicts satellites (i.e. smaller droplets between the main larger ones) at wavelengths exceeding a critical value of 10/7× 2π r_{0}∗. The disturbances grow at wavelengths more than the theoretical bound of 2π r_{0}∗. Discrepancies with experimental data are possible because of the neglect of the effect of viscosity in the theory. It is shown that the effect of viscosity on the jet can be neglected under certain conditions.
 Publication:

Fluid Dynamics Research
 Pub Date:
 December 1989
 DOI:
 10.1016/01695983(89)900191
 Bibcode:
 1989FlDyR...5..159B
 Keywords:

 Flow Distortion;
 Inviscid Flow;
 Jet Flow;
 Liquid Flow;
 Nozzle Flow;
 Laplace Equation;
 Mathematical Models;
 Nozzle Geometry;
 Fluid Mechanics and Heat Transfer