Fluid Dynamics

Fluid Dynamics is the English version of the leading Russian journal Izvestia RAN, Mekhanika Zhidkosti i Gaza. It publishes original articles in the field of classical fluid and plasma dynamics, biomechanics of continuous media, flow in electro-magnetic fields, dynamics of multiphase and chemically reactive flow, including flow in porous media.

The journal publishes theoretical and experimental investigations. Numerical research should focus on new mechanical results with a short description of the numerical method itself.

The manuscripts are peer reviewed by two experts. In accordance with the "Statute of Scientific Journals of the Russian Academy of Sciences", the Editorial Board has the exclusive right to accept or reject manuscripts. According to the rules of our journal, authors will not be informed of the reasons for rejection. Papers are published free of charge to the authors and no fee is paid to them.

Media registration certificate: ПИ № ФС 77 – 82144 от 02.11.2021

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No 6 (2025)

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Articles

FORCED OSCILLATIONS OF A GAS BUBBLE COVERED WITH A SHELL AT RESONANCE
Petrov A.G., Fedorov Y.V.
Abstract
Forced nonlinear oscillations of a gas bubble covered with a viscoelastic shell in a liquid when the oscillation frequency of the external liquid pressure coincides with the resonant frequency of the bubble oscillations are investigated. Using the averaging method, a formula for the dependence of the oscillation amplitude of the encapsulated gas bubble on the amplitude of the external pressure, the thermophysical properties of the gas, the viscosity of the liquid, and the viscoelasticity parameters of the bubble shell is derived. Good agreement with numerical calculations is demonstrated.
Fluid Dynamics. 2025;(6):3–10
pages 3–10 views
INFLUENCE OF ANISOTROPIC THERMAL CONDUCTIVITY ON FLOW IN THE HELIOSPHERIC SHOCK LAYER
Alexashov D.B., Izmodenov V.V.
Abstract
When the supersonic solar wind interacts with the oncoming flow of the interstellar medium, a gas-dynamic structure called the heliospheric shock layer is formed. It consists of a tangential discontinuity (called the heliopause in astrophysics), a solar wind deceleration shock wave (or heliospheric shock), and a bow shock in the interstellar medium. The distance to the heliospheric shock layer, as well as its thickness, are significantly influenced by magnetic fields (heliospheric and interstellar), as well as by interstellar hydrogen atoms, which interact with solar wind plasma and the interstellar medium through charge exchange. The influence of electron thermal conductivity, which is anisotropic and acts along magnetic field lines, is considered. Particular attention is given to the tail of the interaction region. It is shown that taking thermal conductivity into account leads to a decrease in the thickness of the inner portion of the shock layer between the heliospheric shock wave and the tangential discontinuity. It is found that the influence of thermal conductivity significantly alters the plasma temperature and density, which may prove significant when analyzing the absorption spectra in the Lyman-alpha line in the heliosphere’s tail region.
Fluid Dynamics. 2025;(6):11–22
pages 11–22 views
FLOW OF MULTI-MODE GIESEKUS FLUID IN A FLAT CHANNEL
Kadyirov A.I.
Abstract
The problem of steady laminar isothermal flow of a multi-mode Giesekus fluid in a flat channel is considered. To obtain a semi-analytical solution, a previously developed procedure based on a parametric representation of the sought quantities (longitudinal velocity component, shear rate, elastic and viscous stresses) is adapted. During implementation, it was shown that the parameter form ensured automatic fulfillment of the necessary condition for obtaining a classical physical solution. For the multi-mode version of the Giesekus model, a set of parameters corresponding to a specified fluid flow rate was found by an iterative method from the relation for the velocity gradient. A detailed proof of the existence and uniqueness of a solution to the problem of finding this set of parameters is presented in the justification of this approach. The developed solution can be applied to an arbitrary number of modes (a finite number of relaxation times) and a wide range of Weissenberg numbers (the ratio of elastic forces to viscous forces). A comparison with literature data revealed complete coincidence of the velocity and stresses profiles for a particular set of data.
Fluid Dynamics. 2025;(6):23–35
pages 23–35 views
NUMERICAL STUDY OF THE IMPACT OF AIR EXPLOSIONS OF SMALL METEOROIDS THAT INVADED THE EARTH’S ATMOSPHERE ON FOREST COVER
Andrushchenko V.A., Murashkin I.V.
Abstract
A mathematical model of the process simulating the explosions of small celestial bodies in the inhomogeneous atmosphere of the Earth at a certain height above its surface is proposed. A hypothesis has been put forward about the structure of the Vitim space body chosen as an example, which is an icy core of an ex-comet overgrown with a thick refractory crust, that is, a pseudoasteroid object. The complete system of three-dimensional Euler equations for an ideal compressible gas in Cartesian coordinates was used as the initial one. To solve the discrete analog, a flow-through counting scheme based on an explicit difference method was developed. Based on the data obtained during the work of scientific expeditions to identify the damage caused by the explosion of the Vitim meteoroid to the taiga forest, the main parameters of this explosion were selected – its power and height, which gave the results of calculations of the size of zones of terrestrial vegetation destruction, approximating the actual.
Fluid Dynamics. 2025;(6):36–46
pages 36–46 views
CALORIMETRIC PROBE WITH VARIABLE GEOMETRY FOR PLASMA FLOW DIAGNOSTICS
Kolesnikov A.F., Chaplygin A.V.
Abstract
Experiments were conducted at the VGU-4 induction high-frequency plasmatron (IPMech RAS) to study the heat transfer of a 30-mm-diameter, water-cooled, cylindrical probe with a flat nose and a 59-mm-diameter ring attachment that can move along its side surface. Experiments were conducted at test chamber pressures of Pch = 5, 10, and 15 kPa; a mass air flow rate of G = 2.4 g/s; and plasmatron RF generator power of N = 45 kW. A subsonic plasma jet flowed directly from the plasmatron’s cylindrical discharge channel, which has a diameter of 80 mm. Depending on the position of the ring attachment relative to the front surface of the probe and the pressure in the test chamber, the heat flux values were obtained. This demonstrated the possibility of heat transfer control in the stagnation point area by changing the probe geometry without altering the pressure or enthalpy of the dissociated gas flow impacting the surface.
Fluid Dynamics. 2025;(6):47–54
pages 47–54 views
SPATIAL LONG WAVE IN A MAGNETIC FLUID UNDER A HORIZONTAL MAGNETIC FIELD
Korovin V.M.
Abstract
This study examines the propagation of spatial wave in a layer of magnetic fluid bounded by air, within the framework of linear theory. The wavelength considered exceeds the thickness of the fluid layer. An approximation of the fluid’s magnetization curve is derived. The effects of gravity, magnetic force, and surface tension are taken into account. The wave vector is assumed to form an arbitrary angle with the direction of the applied horizontal magnetic field.
Fluid Dynamics. 2025;(6):55–61
pages 55–61 views
FEATURES OF MEASURING RADIANT HEAT FLUXES IN SHOCK TUBES
Levashov V.Y., Kozlov P.V., Gerasimov G.Y., Bikova N.G., Zabelinskii I.E.
Abstract
The results of measuring the radiative characteristics of shock-heated air in the DDST-M shock tube at the Institute of Mechanics, Moscow State University, are presented. The shock wave velocity range is from 8 to 10.6 km/s, with a gas pressure ahead of the shock wave front of 0.25 Torr. In each experiment, the radiative heat flux was measured simultaneously both transversely and along the direction of shock wave propagation. Using the previously developed SPECTRUM computational procedure, the characteristics of the measurement process for recording radiation using various methods are analyzed. The influence of self-absorption on the recorded spectral characteristics of molecular emission bands and atomic lines of oxygen and nitrogen in the ultraviolet and visible spectral ranges is assessed.
Fluid Dynamics. 2025;(6):62–71
pages 62–71 views
EXPERIMENTAL LABORATORY MODELING OF GAS AND LIQUID JETS IN A HIGHLY RAREFIED ENVIRONMENT
Zarvin A.E., Kalyada V.V., Yaskin A.S., Dubrovin K.A., Khudozhitkov V.E., Dering E.D.
Abstract
The paper presents a solution to the problem of experimental modeling—using a compact vacuum facility—of gas or liquid jet outflow from nozzles that simulate spacecraft (SC) nozzles, under conditions of a highly rarefied environment. The use of modern equipment, the development and mastery of diagnostic tools, and accumulated experience have enabled model experiments to reproduce and study the distribution of flow parameters, as well as the gas-dynamic interaction of jets with each other and with the environment surrounding the SC. The main methods for diagnosing gas flows in vacuum, which have been tested and are in use at the facility, are described. Examples of obtained results are provided, demonstrating the wide range of information acquired. In addition to supersonic gas flows from sonic and supersonic nozzles, as well as block configurations—primarily in condensation regimes—the setup has allowed for the realization of steady liquid outflow into vacuum. Such jets have been visualized under various outflow and environmental rarefaction conditions.
Fluid Dynamics. 2025;(6):72–87
pages 72–87 views
DYNAMICS OF SMALL CLUSTERS IN A SUPERSONIC UNDEREXPANDED JET
Bykov N.Y., Gorbachev Y.E., Kovalev D.D., Mizina V.V.
Abstract
A numerical study of a supersonic underexpanded argon jet was carried out taking into account the processes of cluster formation and decay. The calculations were performed using direct Monte Carlo simulation method and a kinetic model of cluster formation. The condensation process occurs primarily in the initial section of the jet. The presence of a characteristic shock-wave structure in the flow field has a significant impact on cluster parameters. Behind the Mach disk, small clusters are virtually absent from the jet. This is due to a significant increase in temperature and the intensification of destruction processes. Clusters crossing the barrel shock continue to move in the jet in concert with the monomers. Their decay is observed at a greater distance from the jet source.
Fluid Dynamics. 2025;(6):88–96
pages 88–96 views
STUDY OF THERMAL PROCESSES IN A DEEP RESONANT CAVITY UNDER GAS-DYNAMIC LOADING
Zhilin A.A.
Abstract
The article presents the results of experimental studies on gas-dynamic heating of gas near the blind end of a deep resonant Hartmann-Sprenger cavity. The effect of the initial pressure in the prechamber on the dynamics of gas heating is investigated. The duration of the experiments carried out in the acousto-convective setup of the ITAM SB RAS was 2 hours. The results showed that during operation of the Hartmann gas-dynamic whistle, the equilibrium state is reached in an hour and a half after the start of the experiment. The process of gas heating in the end region of the resonator consists of three stages: an abrupt increase in the first minute; gradual heating over half an hour and reaching the equilibrium state within an hour. When studying the heating of the outer surface of the resonant cavity, it was experimentally confirmed that higher oscillation modes contribute to the intensification of gas heating in deep resonators. At low pressures, at which the Hartmann effect is not realized, periodic cold and hot areas are formed on the outer surface of the deep resonant cavity.
Fluid Dynamics. 2025;(6):97–108
pages 97–108 views
PECULIARITIES OF STATIONARY DETONATION WAVES GENERATION IN SUPERSONIC FLOW
Trotsyuk A.V.
Abstract
The article presents the results of a systematic study of the gas-dynamic structures and regimes with an obligue detonation wave (ODW) in a supersonic reacting flow. The main task is to clarify the conditions of stationarity of the shock wave-detonation wave configurations. This paper presents the main results of a numerical study of two-dimensional supersonic flows with an ODW formed by compression bodies in the form of: a) a flat wedge, b) a wedge-flat body combination, c) a wedge above a solid surface, and d) a single-pass solid spiral in the gap between the walls of two coaxial cylinders (two-dimensional approximation). For all considered reacting mixtures and compression body variants, the phenomenon of a double solution (bifurcation of a stationary solution from the initial data) was found, i.e. after completion of the transient process, the final stationary shock-detonation structure depends on the of the flow initial state in the computational domain at the initial moment t = 0. The article is based on a review report presented at the Second Seminar on Nonequilibrium Flows dedicated to the 80th anniversary of M.S. Ivanov, May 14–16, 2025, Novosibirsk.
Fluid Dynamics. 2025;(6):109–119
pages 109–119 views
SHOCK WAVE INTERACTIONS: 30 YEARS SINCE DISCOVERY OF HYSTERESIS
Kudryavtsev A.N., Khotyanovsky D.V.
Abstract
Numerical and experimental studies on the transition between regular and Mach reflection of steady shock waves and the related hysteresis phenomenon are reviewed. The results of detailed numerical studies are presented, in which, with flow parameters corresponding to the dual solution domain, the dependence of the observed steady shock wave configuration on the initial conditions is demonstrated, and the existence of hysteresis of regular and Mach reflections is shown with varying the angles of the wedges, the free-stream Mach number, the distance between the wedges, and also in asymmetric shock interaction. The results of experimental and numerical studies of the three-dimensional structure of regular and Mach reflections and the effect of the flow three-dimensionality on the transition are presented. The dependence of experimental data on the transition between regular and Mach reflections on the type of wind tunnel and the possible influence of flow disturbances are discussed. The results of numerical studies on the controlled introduction of flow disturbances and the transition between regular and Mach reflections induced by disturbances are presented. We also discuss the results of numerical studies of the transition between regular and Mach reflections and hysteresis in some other flows: overexpanded supersonic jets, chemically reacting gas mixtures, interaction of bow shocks between cylinders, and interaction of hydraulic jumps in shallow water.
Fluid Dynamics. 2025;(6):120–140
pages 120–140 views
VISCOSITY AND THERMAL NONEQUILIBRIUM EFFECTS IN REGULAR REFLECTION OF OBLIQUE SHOCK WAVES
Bondar Y.A., Shoev G.V., Timokhin M.Y.
Abstract
A review is presented of results obtained by the authors over the past five years on viscous and thermal non-equilibrium effects in the regular reflection of oblique shock waves. The main study directions included a detailed analysis of the flow structure in terms of the spatial distributions of macroscopic parameters and the molecular velocity distribution function, as well as the development and assessment of the applicability of various mathematical models and numerical approaches for its description. In particular, it was shown that the structure of the shock-interaction region is largely governed by non-equilibrium transport of momentum and energy in the direction normal to the mean flow. Under these conditions, the Rankine–Hugoniot relations are not satisfied on the symmetry plane, and an extended wake forms downstream of the interaction region, where the flow parameters differ substantially from their theoretical inviscid values. The problem of regular shock reflection is one of the simplest examples of a strongly non-equilibrium gas flow. As a natural two-dimensional generalization of the classical planar shock structure problem, it provides a promising benchmark for comparing and evaluating models and methods for describing non-equilibrium gas flows.
Fluid Dynamics. 2025;(6):141–156
pages 141–156 views