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.
    Keywords: instability, capillary flows, viscous jet, stationary waves
    Citation: Safronov A. A., Koroteev A. A., Filatov N. I., Safronova N. A., Capillary Hydraulic Jump in a Viscous Jet, Rus. J. Nonlin. Dyn., 2019, Vol. 15, no. 3, pp.  221-231

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