Andrey Safronov
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. 367378
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 selfsimilar traveling waves is investigated.
It is shown that there are three independent families of such selfsimilar solutions. The characteristics
of the structure of nonpropagating exponentially growing waves are calculated. The
characteristic time of formation of such a structure is determined.

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. 221231
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 selfsimilar solutions
of hydrodynamic equations arise. Solutions of the equation of stationary waves propagation are
studied analytically. The form of stationary solitonlike solutions is calculated numerically. The
results obtained are used to analyze the process of thinning and rupture of jets of viscous liquids.

Safronov A. A., Koroteev A. A., Filatov N. I., Grigoriev A. L.
The Effect of LongRange Interactions on Development of Thermal Waves in the RadiationCooling Dispersed Flow
2018, Vol. 14, no. 3, pp. 343354
Abstract
The influence of longrange 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.
