0
2013
Impact Factor

# Andrey Safronov

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

## Publications:

 Safronov A. A. Investigation of the Structure of Waves Generated by a $\delta$-perturbation of the Surface of a Capillary Jet 2022, Vol. 18, no. 3, pp.  367-378 Abstract 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 DOI:10.20537/nd220303
 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 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. 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 DOI:10.20537/nd190302
 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 2018, Vol. 14, no. 3, pp.  343-354 Abstract 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 DOI:10.20537/nd180305