Abstract:
Stationary waves in a cylindrical jet of a viscous fluid are considered. It is shown that when the capillary pressure gradient of the term with the third derivative of the jet radius in the axial coordinate is taken into account in the expression, the previously described self-similar solutions of hydrodynamic equations arise. Solutions of the equation of stationary waves propagation are studied analytically. The form of stationary soliton-like solutions is calculated numerically. The results obtained are used to analyze the process of thinning and rupture of jets of viscous liquids.
Citation:
A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. A. Safronova, “Capillary Hydraulic Jump in a Viscous Jet”, Rus. J. Nonlin. Dyn., 15:3 (2019), 221–231
\Bibitem{SafKorFil19}
\by A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. A. Safronova
\paper Capillary Hydraulic Jump in a Viscous Jet
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 3
\pages 221--231
\mathnet{http://mi.mathnet.ru/nd655}
\crossref{https://doi.org/10.20537/nd190302}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4021365}
Linking options:
https://www.mathnet.ru/eng/nd655
https://www.mathnet.ru/eng/nd/v15/i3/p221
This publication is cited in the following 1 articles:
A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. V. Bondareva, “Fast waves development initiated by oscillations of a recoiling liquid filament in a viscous fluid jet”, Thermophys. Aeromechanics, 28:2 (2021), 237–245
Citation in format AMSBIB
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