Break-Up of a Liquid Jet: Second Perturbation Solution for One-Dimensional Cosserat Theory

The second perturbation solution is derived within the nonlinear one-dimensional Cosserat theory for a liquid jet emanating from a nozzle with harmonic excitation. Numerical results are presented for parameters relevant to ink-jet printing technology. Satellite drops are predicted but always in the backward merging condition. The results are compared with the corresponding solution obtained by Pimbley and Lee, who used a different one-dimensional set of equations with a different formulation of the problem and obtained forward merging satellite drops under some conditions.