Fast waves development initiated by oscillations of a recoiling liquid filament in a viscous fluid jet

Investigation of the Structure of Waves Generated by a $\delta$-perturbation of the Surface of a Capillary Jet

“…Experiments on the capillary breakup of slow jets with M < 5 have shown that the regularities of their breakup can be described using models of neither absolute nor convective jet instability [10][11][12][13][14][15]. This is explained by the fact that, at small M , traveling capillary waves with a dimensionless wave number k > 1 begin to play a key role in the process of capillary decay.…”

“…In this case, the dispersion relation (1.2) is simplified and takes the form ω ∼ k 2 . The Green's function calculated in this approximation does not describe the perturbations growing with time observed in the experiment [14]. At the same time, in [15], the Green's function was calculated for the complete system of equations describing the behavior of a capillary jet as applied to the problem of capillary meniscus compression.…”

“…However, the calculation was carried out only for the near field of the generated waves and does not describe solutions propagating and growing with time. At the same time, growing capillary waves generated by δ-perturbation of the jet surface are in some cases the key process that determines the patterns of drop formation [14].…”