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No 4 (2023)

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Articles

Андрей Геннадьевич Куликовский (к 90-летию со дня рождения)

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):3-4
pages 3-4 views

Calculations of Compression of a Spherical Layered System by Shock Waves Taking into Account the Transfer of Thermal Radiation in the Kinetic Model

Grabovenskaya S.A., Zav’yalov V.V., Shestakov A.A.

Abstract

At present, numerical simulation is the main, and often the only, tool for detailed description of some physical phenomena in the study of the processes of material compression by shock waves. The study of the behavior of shock and rarefaction waves on the simplest model tests helps in the analysis of more complex calculations, for example, problems of inertial thermonuclear fusion on laser facilities. The paper considers comparative calculations of a test problem that simulates compression of a spherical layered system consisting of two substances by shock waves.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):5-13
pages 5-13 views

Action of a Pulsating Source in a Fluid in the Presence of a Shear Layer

Sturova I.V.

Abstract

The two-dimensional unsteady problem of the development of wave motion in a two-layer finite-depth fluid bounded from above by a free surface is solved. The cases in which one of the layers is at rest in the unperturbed state and in other layer (near-surface or near-bottom) the horizontal flow velocity varies linearly with depth are considered. The dispersion relations and the group velocities of three wave modes arising in the presence of shear flow are determined. The vertical displacements of the free surface caused by switching-on of a pulsating source located in the initially immobile fluid layer are calculated. The problem is considered in a linear formulation, the fluid is assumed to be ideal and incompressible.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):14-26
pages 14-26 views

Experimental Investigation of the Structure of Disturbances from Two Pulsed Sources in the Flat-Plate Supersonic Boundary Layer

Afanasev L.V., Yermolaev Y.G., Kosinov A.D., Kocharin V.L., Semionov N.V., Yatskikh A.A.

Abstract

The work is devoted to the development of a new experimental method for entering controlled disturbances with a given frequency-wave structure into a supersonic boundary layer. Experimental data on the formation of disturbances from two pulsed sources (pulsed glow discharge) in the laminar flat-plate boundary layer at the Mach number equal to 2 are given. The experiments were carried out in the T-325 wind tunnel of ITAM SB RAS. The localized sources were spaced out at the same distance from the leading edge of the plate at 6 mm from each other spanwise. Flow pulsations were measured using a hot-wire probe of constant temperature anemometer, the signal was recorded synchronously with ignition of the discharges. This made it possible to distinguish the pulsations from the discharges against the background of random uncontrolled “natural” pulsations of the boundary layer. The spatial-temporal and frequency-wave structure of the generated disturbances from a single or two discharges, operating synchronously or with a time delay, are analyzed. It is found that the maximum difference in the structure of disturbances from one and two sources is observed in the central region, while at the side boundaries of the disturbances, the pulsations are close in all considered cases. In the wave spectra of disturbances from two discharges, nodes and antinodes are formed. Their position is determined by the distance between the sources and the time delay in their operation.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):27-36
pages 27-36 views

Resonance Impact of a Periodic Sequence of Plasma Actuators in Flow Control in a Swept-Wing Boundary Layer

Manuilovich S.V.

Abstract

The process of flow control in the swept-wing boundary layer using a number of plasma actuators mounted at an angle to the leading edge is theoretically studied. The resonance response of the controlled flow is investigated when the angle of inclination of the actuators is close to the angle of inclination of the stationary vortices of cross-flow instability. The calculation of the controlled flow is carried out within the framework of the parabolic system of Navier–Stokes equations. The stability characteristics of periodic flows formed by the action of a control bulk force are calculated.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):37-49
pages 37-49 views

Steady Gas-Droplet Flow Pattern and Heat Transfer Behind the Point of Incidence of a Shock Wave on a Flat Wall

Golubkina I.V., Osiptsov A.N.

Abstract

The structure of a steady 2D gas-droplet flow in the near-wall region behind the point of incidence of a normal or an oblique shock wave on a plane wall is investigated. In this case, the normal wave corresponds to the Mach stem in the Mach reflection mode, and the oblique wave corresponds to the regular reflection mode of the incident oblique wave. The main aim of the study is to evaluate the effect of small liquid droplets present in the free stream on the equilibrium temperature of the adiabatic wall behind the point of wave reflection. The question is investigated: to what extent the presence of an oblique shock wave incident on the wall can enhance the effect of reducing the equilibrium wall temperature by small droplets present in the flow. The flow region is split into the outer region of “effectively inviscid flow” and the region of an asymptotic laminar boundary layer. Flow calculations in each region are based on a two-fluid model of a gas-droplet mixture, taking into account the phase transition (evaporation) on the droplet surface. The most interesting wave configurations from the point of view of heat transfer, corresponding to “fully and partially dispersed waves” with incomplete evaporation of droplets behind the reflected wave, are studied. A simple limiting scheme of the formation of a liquid film by droplets deposited on the wall is adopted, with the effects of film instability and spattering being ignored. Based on numerical calculations, the estimates are obtained for the possible decrease in the equilibrium temperature of the adiabatic wall behind the point of incidence of a shock wave in a steady supersonic gas flow containing a low concentration of liquid droplets.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):50-63
pages 50-63 views

Dusty Gas Flow past Bodies under Scattering of Rebounded Particles

Panfilov S.V., Romanyuk D.A., Tsirkunov Y.M.

Abstract

Two-phase gas-particle flow over a flat plate of finite thickness in a channel at a high subsonic velocity and supersonic transverse flow past a cylinder are considered. The leading edge of the plate is wedge-shaped or represents a smooth bluntness of constant radius. The wedge surface and the front bluntness are specified both smooth and rough. The roughness is modeled by a two-dimensional profile based on an experiment. Spherical particles and a mixture of particles in the form of ellipsoids of revolution, rectangular prisms, prisms with flat-cut vertices, and tetrahedrons are considered. The parameters of each of the forms vary. The impact interaction model proposed earlier and consistent with the experimental data on the coefficients of restitution of the center-of-mass velocity is used to determine the translational and rotational velocities of non-spherical particles after rebound. Along with monosized particles, a dispersed phase with a spread of particles in size is considered. The role of the studied factors of random nature which affect the flow pattern and the dispersed phase parameters is found.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):64-80
pages 64-80 views

Nonisothermal Fluid Flow in a Well during Induction Heating of the Casing String

Davletshin F.F., Akchurin R.z., Sharafutdinov R.F., Islamov D.F.

Abstract

The distinctive features of the flow velocity and temperature fields of ascending fluid flow in a metal round pipe (round casing string installed in a production well) under the conditions of its local induction heating are studied. The results of investigation are based on numerical solution of the Navier–Stokes equations in the Boussinesq–Oberbeck approximation. The calculations were performed using the Ansys Fluent software package (license ANSYS Academic Research CFD under the agreement with the Bashkir State University dated June 15, 2020). The fluid flow rates of 10 and 50 m3 per day are considered. Such flow rates correspond to the laminar and transitional flow regimes in the casing pipe. It is found that local perturbations of the velocity and temperature fields are presented in the near-wall region of the heated casing. Fluid temperature perturbations reach several Kelvin degrees, the local flow velocity which increases due to natural thermal convection in the near-wall region of the casing string being several times higher than the cross-section-average flow velocity. The occurrence of areas of vortex flow motion over the interval of induction heating due to natural thermal convection is shown.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):81-92
pages 81-92 views

Numerical Investigation of the Structure of Fracture Network Impact on the Fluid Flow through a Poroelastic Medium

Legostaev D.Y., Rodionov S.P.

Abstract

Two-dimensional single-phase flow of a weakly compressible fluid through a deformable fractured-porous medium is considered. A poroelastic model is used for coupled simulation of the fluid flow and the related changes in the stress state of the medium. Fracture network is simulated using the discrete fracture model. The fractures in the region under consideration have random location and orientations, and the fracture length distribution follows a power law. The dependence of the hydraulic properties of fractured porous media on its stress-strain state and the structure of the fracture network is studied. Numerical study was performed for various realizations of fracture network obtained using multiple random generation. It is found that the permeability of the fractured porous medium is determined mainly by the structure of the fracture system characterized by the percolation parameter. According to the simulations results, hydraulic properties are significantly affected by the stress-strain state only for connected fracture systems. An approximation is proposed to define the dependence of the equivalent permeability of a fractured-porous medium on the following parameters: the connectivity of the fracture system, the stress-strain state of the medium, and fracture properties such as stiffness and aperture.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):93-107
pages 93-107 views

Investigation of the Mechanism of Interaction of the Hydrocarbon Flame with an Electric Field

Vlasov P.A., Pankrat’eva I.L., Polyanskii V.A.

Abstract

One of the possible mechanisms of the interaction of a bounded combustion region (flame) with an applied electric field is considered. The investigation is based on application of the electrohydrodynamics (EHD) methods to describe chemically reacting multicomponent nonequilibrium partially ionized gas mixtures. It is shown that zones of space electric charge are formed in the neighborhood of the flame boundaries under certain conditions. These zones can be affected by the electric field. The nature of modification of these zones under the influence of the electric field is investigated.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):108-116
pages 108-116 views

Formation of Three-Dimensional Internal Waves behind a Body in Motion in a Stratified Viscous Fluid

Matyushin P.V.

Abstract

A uniform motion of a disk in horizontal direction along its axis of symmetry in a stratified viscous fluid at rest is studied. The disk generates three-dimensional internal gravity waves occupying the entire volume between the disk and the location of its start. The waves are observed using two-color, beta-plus visualization of the vortex flow structure calculated within the framework of the system of Navier–Stokes equations in the Boussinesq approximation. The results of the study complete considerably the earlier-published mechanism of the formation of half-waves above the axis of symmetry of the disk, where emphasis was placed on the periodic process of generation of deformed vortex rings above the location of the disk start. Their generation is due to gravitation and shear instabilities, when the left semi-ring is transformed into a half-wave of depressions or crests, while the right one vanishes with time. In this paper it is established that the left parts of the right odd semi-rings are transformed into the axial parts of the crest half-waves.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):117-130
pages 117-130 views

Distinctive Features of Plume Formation on Collision of Two Laminar Gas Jets

Kozlov V.V., Litvinenko Y.A., Katasonov M.M., Sarychev D.V., Shmakov A.G.

Abstract

The results of an investigation of the interaction between two colliding axisymmetric laminar microjets of propane-butane mixture with and without diffusion combustion are presented. The gas mixture components flow out through round tubes at the same velocities. In the course of the experiments the lateral position of the tubes with respect to each other was varied with conservation of the angle between them. The distinctive features of the resulting jet formation are established as functions of the transverse position of the tubes. If the tubes lie in the same plane, then the resulting jet is formed in the plane orthogonal to them. This process can be observable in the case of the interaction between the jets both with and without flame. With increase in the jet outflow velocity a region of local discontinuity of the flame front is found to exist.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):131-136
pages 131-136 views

Numerical Modeling of Supersonic Flow with a Region of Heat Release by a Longitudinal-Transverse Discharge

Kornev K.N., Logunov A.A., Shibkov V.M.

Abstract

Steady supersonic air flow in a diverging aerodynamic channel of rectangular cross-section is numerically simulated. The channel represents a laboratory model of an air-breathing straight-flow engine. The aerodynamic model is validated using the experimental data for the case in which the zone of volumetric heat release is absent. After the model has been validated a supersonic flow with a built-in zone of volumetric heat release was numerically simulated. Three-dimensional distributions of the velocity, temperature, and pressure in a steady supersonic air flow are obtained. It is shown that in the case, in which the volumetric density of the heat power of the source is equivalent to the mean total power of the discharge W = 10 kW, the discharge heats the gas up to the temperature T = 1700 to 4200 K, which leads to flow acceleration without its thermal choking. When the thermal power density of the source is equivalent to the mean common discharge power W = 20 kW, the gas is heated more strongly, up to 6700 K, but then local thermal choking of the flow occurs.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):137-145
pages 137-145 views

Investigation of Heat Transfer Regimes in Subsonic Dissociated-Nitrogen Jets of a High-Frequency Induction Plasmatron under Additional Surface Heating by Laser Radiation

Vasil’evskii S.A., Galkin S.S., Kolesnikov A.F., Kotov M.A., Lukomskii I.V., Solovyev N.G., Tepteeva E.S., Chaplygin A.V., Shemyakin A.N., Yakimov M.Y.

Abstract

The heat transfer to a cylindrical water-cooled copper model was experimentally investigated in an induction VGU-4 high-frequency (HF) plasmatron of the Institute for Problems in Mechanics of the Russian Academy of Sciences. The model, 30 mm in diameter, equipped with a calorimetric transducer with a heat-adsorbing graphite surface, 13.8 mm in diameter, was exposed to the surface heating in the combined regime by nitrogen plasma and laser radiation and in the cases of the heating with only laser radiation or a nitrogen plasma jet. The experiments in the HF-plasmatron jets were performed at the pressure in the setup low-pressure chamber p = 1 × 104 Pa, nitrogen mass flow rate G = 2.4 g/s, and the plasmatron HF-generator anode power Na.p. = 22 kW. It is established that in the chosen experimental regimes the dissociated-nitrogen jet and the high-frequency induction discharge do not produce a considerable effect on the laser beam passing through them. The values of the heat flux density are obtained as functions of the laser radiation power delivered. The subsonic nitrogen plasma flow in the quartz discharge channel and in the low-pressure chamber of the VGU-4 setup is numerically modeled under the experimental conditions basing on the solution of the complete Navier–Stokes equations using the Patankar–Spalding method.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):146-155
pages 146-155 views

Analysis of Self-Oscillation Processes in a Cavity with a Flow of OpenType on the Basis of the Data of Vortex-Resolving Calculations

Dan’kov B.N., Duben’ A.P., Kozubskaya T.K.

Abstract

The mechanisms of self-oscillation processes occurring in cavities of open flow type are considered and substantiated on the basis of a detailed investigation of the phenomena of hydrodynamic, flow-rate, wave, and resonance nature. The theoretical conclusions are substantiated by an analysis of the data of numerical experiments performed by different authors.

Izvestiâ Akademii nauk. Rossijskaâ akademiâ nauk. Mehanika židkosti i gaza. 2023;(4):156-166
pages 156-166 views

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