Capillary Hydraulic Jump in a Viscous Jet
Received 29 April 2019; accepted 16 July 2019
2019, Vol. 15, no. 3, pp. 221-231
Author(s): Safronov A. A., Koroteev A. A., Filatov N. I., Safronova N. A.
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.
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