Investigation of the Structure of Waves Generated by a $\delta$-perturbation of the Surface of a Capillary Jet
Received 20 December 2021; published 30 September 2022
2022, Vol. 18, no. 3, pp. 367-378
Author(s): Safronov A. A.
The wave capillary flow of the surface of an inviscid capillary jet, initiated by a single
$\delta$-perturbation of its surface, is studied. It is shown that the wave pattern has a complex structure.
The perturbation generates both fast traveling damped waves and a structure of nonpropagating
exponentially growing waves. The structure of self-similar traveling waves is investigated.
It is shown that there are three independent families of such self-similar solutions. The characteristics
of the structure of nonpropagating exponentially growing waves are calculated. The
characteristic time of formation of such a structure is determined.
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