Features of Capillary Breakup of a Liquid Jet at Ohnesorge Numbers Larger Than Unity

Self Cite

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.

Section: Introductionmentioning

confidence: 99%

Investigation of the Structure of Waves Generated by a $\delta$-perturbation of the Surface of a Capillary Jet

Safronov¹

2022

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“…Modeling the capillary breakup of viscous fluid jets is an important task for many technical applications [1][2][3][4][5][6][7][8][12][13][14][15][16]. One of them is a liquid droplet radiator designed to remove low-grade heat from new-generation space power systems.…”

Section: Introductionmentioning

confidence: 99%

“…All potentially suitable working fluids for use in space have sufficiently high viscosity. The regularities of the forced capillary disintegration of jets of such liquids were considered in [2], where the dependence of the sizes of the main and satellite drops on the wave number of the initiating decay of the perturbation at different viscosity values was obtained. However, the results of experimental studies indicate that the capillary disintegration of highly viscous jets may be accompanied by the formation of not only satellite drops, but also subsatellites of small size [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Capillary Hydraulic Jump in a Viscous Jet

Safronov¹,

Коротеев²,

Filatov³

et al. 2019

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.

“…The use of low-grade radiators makes it possible to increase the efficiency of the spacecraft power system and to decrease evaporation losses of the working fluid. The droplet radius in this DR is r ∼ 100 μm and is determined by technical feasibilities of substance dispersing [5]. As the temperature is low enough (T ∼ 400 K), the thermal emission spectrum is concentrated in the region of wavelengths at which the working fluid efficiently absorbs the emission.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Long-Range Interactions on Development of Thermal Waves in the Radiation-Cooling Dispersed Flow

Safronov¹,

Коротеев²,

Filatov³

et al. 2018

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.