Nonlinear physics and mechanics

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

A. A. Safronov

Keldysh Research Center, ul. Onezhskaya 8, Moscow, 125438, Russia

Abstract: 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.

Keywords: instability, capillary flow, nonviscous jet.

MSC: 76E30

Received: 20.12.2021
Accepted: 13.05.2022

Language: English

DOI: 10.20537/nd220303

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