The breakup of a liquid jet following an initial finite periodic disturbance of the nozzle exit velocity is analyzed using a nonlinear thin filament theory. Breakup occurs over two distinct time scales, the second of which is characterized by the growth rate calculated from linear stability theory. An approximate analysis of the kinematics during the first time scale enables an analytical prediction of the breakup time.
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Bousfield et al. (1987) studied this question.
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