Nonlinear physics and mechanics
Capillary Hydraulic Jump in a Viscous Jet
A. A. Safronova, A. A. Koroteevb, N. I. Filatova, N. A. Safronovac
a Keldysh Research Center,
ul. Onezhskaya 8, Moscow, 125438 Russia
b Moscow Aviation Institute (National Research University),
Volokolamskoe sh. 4, Moscow, 125993 Russia
c Moscow Institute of Physics and Technology,
Institutsky per. 9, Dolgoprudny, Moscow region, 141701 Russia
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.
instability, capillary flows, viscous jet, stationary waves
|Russian Science Foundation
|This work was supported by the grant of the Russian Science Foundation No. 19-19-00045.
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A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. A. Safronova, “Capillary Hydraulic Jump in a Viscous Jet”, Nelin. Dinam., 15:3 (2019), 221–231
Citation in format AMSBIB
\by A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. A. Safronova
\paper Capillary Hydraulic Jump in a Viscous Jet
\jour Nelin. Dinam.
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