The study of the behaviour of a disturbed semi-infinite liquid jet using aspatial instability method

A study has been made of the behaviour of a disturbed semi-infinite liquid jet using a spatial instability method. A sinusoidal disturbance in the axi al component of jet velocity at the nozzle is considered which resulted in an elliptic free surface boundary value problem with two non-linear boundar y conditions. The system is linearised using perturbation techniques and th e first order solution resulted in the dispersion relation. The jet stabili ty is found to depend explicitly on the frequency of the disturbance and th e Weber number. The second and third order solutions have been derived anal ytically which are used to predict on jet break-up and satellite formation. (C) 2001 Published by The Japan Society of Fluid Mechanics and Elsevier Sc ience B.V. All rights reserved.