Andrey Safronov

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


    Safronov A. A.
    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
    Citation: Safronov A. A.,  Investigation of the Structure of Waves Generated by a $\delta$-perturbation of the Surface of a Capillary Jet, Rus. J. Nonlin. Dyn., 2022, Vol. 18, no. 3, pp.  367-378
    Safronov A. A., Koroteev A. A., Filatov N. I., Safronova N. A.
    Capillary Hydraulic Jump in a Viscous Jet
    2019, Vol. 15, no. 3, pp.  221-231
    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
    Safronov A. A., Koroteev A. A., Filatov N. I., Grigoriev A. L.
    The influence of long-range interactions on the progress of heat waves in the radiationcooling disperse flow is considered. It is shown that the system exhibits oscillations attendant on the process of establishing an equilibrium temperature profile. The oscillation amplitude and the rate of oscillation damping are determined. The conditions under which the radiation cooling process can be unstable with respect to temperature field perturbations are revealed. The results of theoretical analysis and numerical calculation of the actual droplet flow are compared.
    Keywords: disperse flows, radiative heat transfer, long-range interactions, instability
    Citation: Safronov A. A., Koroteev A. A., Filatov N. I., Grigoriev A. L.,  The Effect of Long-Range Interactions on Development of Thermal Waves in the Radiation-Cooling Dispersed Flow, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 3, pp.  343-354

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