A One-Dimensional Model of Viscous Liquid Jets Breakup

The breakup process of a low speed capillary liquid jet is computationally investigated for different Ohnesorge numbers (Z), wave numbers (K), and disturbance amplitudes (ζo). An implicit finite difference scheme has been developed to solve the governing equations of a viscous liquid jet. The results predict the evolution and breakup of the liquid jet, the growth rate of disturbance, the breakup time and location, and the main and satellite drop sizes. It is found that the predicted growth rate of disturbance, the breakup time, and the main and satellite drop sizes depend mainly on the wave numbers and the Ohnesorge numbers. The results are compared with those available, experimental data and analytical analysis. The comparisons indicate that good agreements can be obtained with the less complex one-dimensional model.