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

Information about the Fluid Dynamics see also at the websites

Ағымдағы шығарылым

Ашық рұқсат Рұқсат жабық

Рұқсат берілді Рұқсат жабық

Тек жазылушылар үшін

№ 4 (2025)

Жылы: 2025
Мақалалар: 12
URL: https://journals.rcsi.science/1024-7084/issue/view/25688

Бүкіл шығарылым

Ашық рұқсат
Рұқсат жабық

Рұқсат берілді
Рұқсат жабық

Тек жазылушылар үшін

Articles

HYDROELASTIC WAVES IN A POROUS ICE PLATE

Sibiryakova T., Naydenova K., Shishmarev K.

Аннотация

Within the linear theory of hydroelasticity, a two-dimensional problem of hydroelastic waves in a porous ice plate is considered. Porosity is modeled by taking into account the liquid penetration velocity proportional to the pressure gradient in the kinematic condition at the plate—liquid interface. In the initial formulation, forced oscillations caused by unsteady external pressure are considered. The solution is constructed using the Fourier transform method. A system of differential equations is obtained, the homogeneous solution of which describes time-damping hydroelastic waves. The existence of a critical value of a real-valued porosity parameter has been established, at which waves with a nonzero frequency disappear in a finite range of wave numbers. The imaginary part of the porosity affects the asymmetry of the frequency values relative to the real axis and the degree of wave attenuation. The models are compared with/without taking into account mass and hydrostatic pressure. Analytical expressions are obtained for the case of a pulse start and subsequent movement of the load at a given speed. The integrals describing the ice reaction are numerically calculated for different times.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):3-16

3-16

(Rus)

(JATS XML)

ENSTROPHY DYNAMICS FOR FLOW PAST A SOLID BODY WITH NO-SLIP BOUNDARY CONDITION

Gorshkov A.

Аннотация

In the paper we study the impact of the boundary vorticity distribution on the dynamics of enstrophy for flows around streamlined bodies. A new energy identity is derived in the article, which includes the boundary values of the vortex function. For the Stokes system the dissipativity of enstrophy is proved. For the Navier–Stokes system a new equation of the enstrophy dynamics is obtained.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):17-29

17-29

(Rus)

(JATS XML)

SEICHE OSCILLATIONS IN LAKE ONEGA

Smirnov S.

Аннотация

The results of numerical modeling of barotropic seiche oscillations in Lake Onega are presented. The model is based on a linearized system of shallow water equations on a rotating sphere without taking into account the dissipative terms. The spatial approximation of the equations is performed on an irregular triangular grid. The use of a computational grid with high spatial resolution in solving the spectral-difference eigenvalue problem made it possible to obtain a good correspondence between the calculated periods and the measured ones. Spatial distributions of the amplitude and phase of the first seven modes of natural oscillations of the model Lake Onega are constructed with periods of 13 h 20 min, 11 h 30 min, 6 h 30 min, 5 h 14 min, 4 h 38 min, 4 h 24 min and 4 h 10 min. The analysis showed the importance of taking into account the relatively shallow Svyatula bay. If this bay is excluded from the computational domain, the modes with periods of 13 h 20 min and 11 h 30 min are replaced by one mode with an intermediate period of 12 h 30 min.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):30-42

30-42

(Rus)

(JATS XML)

ESTIMATE OF POSITION OF LAMINAR-TURBULENT TRANSITION OF SUPERSONIC BOUNDARY LAYER ON A FLAT PLATE WITH STREAMWISE SLOTS

Lysenko V., Smorodsky B., Yatskikh A.

Аннотация

The paper presents results on the influence of a small depth grooves (slots) on the surface of a flat plate on the supersonic boundary layer transition using the e^N method. Slots of different depths oriented along the flow are considered, with the corresponding Reynolds numbers based on the slot depth 0 ≤ Re_h ≤ 3000. The mean flow in the boundary layer at Mach number M = 2 is obtained by means of numerical simulations within the CFD package FlowVision. The disturbance spatial amplification rates were calculated using the linear stability theory. It is for the first time shown that application of streamwise slots on the surface of a flat plate allows to postpone the position of a supersonic boundary layer laminar-turbulent transition more downstream.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):43-49

43-49

(Rus)

(JATS XML)

INFLUENCE OF GEOMETRY AND FUEL INJECTION ON THERMOACOUSTIC INSTABILITIES IN A SUPERSONIC CAVITY

Seleznev R.

Аннотация

This study numerically investigates thermoacoustic instabilities in a supersonic cavity-based combustor relevant to scramjet engine applications. Simulations explore the influence of cavity geometry (aft-wall angles of 22.5◦, 45◦, and 90◦, and length-to-depth ratios of 4 and 7) and fuel injection pressure (0.6 MPa to 1.8 MPa) on flow dynamics and combustion characteristics with hydrogen fuel. Non-reacting flow simulations reveal advection and acoustic oscillations within the cavity, with frequencies matching analytical predictions. The introduction of combustion suppresses low-frequency pulsations while stimulating high-frequency oscillations (15–20 kHz), with larger aft-wall angles promoting more intense vortical structures and higher frequency oscillations. Increasing fuel injection pressure leads to a non-linear response. Higher injection pressures induce a flow “choking” phenomenon and a shift towards lower frequency oscillations associated with large-scale vortex shedding, in comparison with lower injection pressures. The simulation results exhibit good agreement with experimental data, indicating the importance of both advection/acoustic oscillations and the complex interaction of flow dynamics, combustion, and fuel injection in shaping the thermoacoustic behavior of supersonic cavity-based combustors.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):50-65

50-65

(Rus)

(JATS XML)

FLUID DISPLACEMENT FROM A LAYERED RESERVOIR IN THE GRAVITY FIELD

Andreeva A., Afanasyev A.

Аннотация

The regimes of fluid displacement from a formation consisting of interleaving layers of different permeability are studied within the framework of the cross-sectional problem of flow through a porous medium. The method for evaluating the efficiency of displacement from layers is developed by modeling the flow in an equivalent homogeneous porous medium within assuming a large number of layers. It is shown that the displacement process is characterized by five similarity criteria and those values for the equivalent formation and individual layers are different. Therefore, different regimes of fluid displacement are realized in an equivalent medium and in separate permeable layers. The effect of capillary pressure and fluids viscosities on the sweep efficiency is investigated. The results of the present study may be useful in the oil and gas industry in estimating the efficiency of various field development methods.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):66-81

66-81

(Rus)

(JATS XML)

DIRECT NUMERICAL SIMULATION OF TURBULENCE ONSET IN SUPERSONIC BOUNDARY LAYER OVER A PARABOLIC PROFILE

Egorov I., Ilyukhin I., Kalugin S.

Аннотация

Laminar–turbulent transition in the boundary layer over a parabolic profile of a straight wing with a relative thickness of 10% is investigated. Freestream conditions correspond to the standard atmosphere at an altitude of 20 km and a Mach number of 3. Disturbances are introduced by a continuously operating blowing–suction actuator, which generates a relatively narrow initial frequency–wavenumber spectrum of perturbations. Direct numerical simulation is performed by solving the full unsteady compressible Navier–Stokes equations for a perfect gas. An analysis of mass-flux perturbations and their frequency–wavenumber spectra is carried out at various streamwise distances from the disturbance generator. The spatial distribution of the coherence function is presented.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):82-94

82-94

(Rus)

(JATS XML)

NUMERICAL SIMULATION OF SUBSONIC TWISTED JETS OF HIGH-ENTHALPY AIR AT OPERATING PARAMETERS OF THE VGU-4 HF PLASMATRON

Vasil’evskii S., Kolesnikov A., Shchelokov S.

Аннотация

The influence of the anode supply power of the HF generator (30–70 kW) and pressure (50–200 mbar) on the flow past a cylindrical model with a diameter of 50 mm of a subsonic high-enthalpy air jet flowing from the discharge channel into the test chamber of the VGU-4 HF plasma torch (IPMech RAS) was studied. A comparison of the calculations of the axisymmetric flow past the model based on the full Navier–Stokes equations was performed, with and without taking into account the tangential component of the velocity (swirling). It was found that the power of the HF generator is a key factor determining changes in the structure and characteristics of the flow when taking into account the swirling. The property of conservatism of the normalized hydrodynamic characteristics of subsonic high-enthalpy air jets — the distributions of parameters in the outlet section of the discharge channel and along the jet axis — was established. The obtained matrix of dimensionless parameters at the outer edge of the boundary layer provides the possibility of calculating heat transfer to the stagnation point of the model within the framework of the one-dimensional problem autonomously without preliminary calculation of the axisymmetric flow around the model by a subsonic jet of viscous high-enthalpy air.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):95-104

95-104

(Rus)

(JATS XML)

TURBULENT FLOW IN A NARROW CHANNEL WITH A SINGLE-ROW STACK OF INCLINED TRENCH DIMPLES ON ONE WALL

Terekhov V., Chokhar I., Yan Lun N.

Аннотация

The results of an experimental study of flow aerodynamics in a narrow channel with a rectangular cross-sectional height of H = 20 mm and an aspect ratio of AR = 7.5 are presented. The channel surface contains a system of elongated trench dimples with a cylindrical cross-section. The dimples have a width of D/H = 0.75, a relative depth of Δ/D = 0.22, and a length of L/D = 7 calibers. They are positioned at a fixed angle of φ = 45°, to the longitudinal axis of the channel. The package contained a total of seven dimples, with a constant spacing of h/D = 2. The Reynolds number, calculated from the hydraulic diameter, was constant at Re_ch = 3.9 · 10⁴ in the experiments measuring velocity components and velocity fluctuations. Hydraulic losses were measured over a wide range of Reynolds numbers, from Re_ch = 1.9 · 10⁴ to Re_ch = 1.1 · 10⁵. The experiments measured velocity components and their fluctuations in the longitudinal and transverse directions for a channel with dimples on one wall, and the hydraulic resistance of a channel with dimples on one and two opposite walls. It was found that the longitudinal velocity profiles U_z differ significantly depending on the position within the dimple for all the dimples studied. A boundary layer separation zone forms at the inlet of the dimple, where the flow enters. The extent of this zone along the dimple does not exceed one caliber, and further along the dimple, no negative values of the velocity U_z are observed. As one moves along the dimple, the intensity of the vortex motion of the gas inside significantly weakens. A similar flow structure was previously observed by the authors (Thermophysics and Aeromechanics. 2022. V. 29. No. 6. P. 935) in a single trench dimple with the same geometric parameters.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):105-116

105-116

(Rus)

(JATS XML)

MEASUREMENT OF THE RADIATION HEAT FLUX GENERATED BY THE SHOCK WAVE FRONT IN THE DIRECTION OF ITS MOVEMENT

Kozlov P., Gerasimov G., Levashov V., Bykova N., Zabelinsky I.

Аннотация

A new method for measuring the radiation characteristics of shock-heated air is proposed. The method utilizes shock tube recording equipment to record the radiation power generated by the shock front in the direction of its motion. The experiments were conducted using a DDST-M double-diaphragm shock tube at the Institute of Mechanics, Moscow State University, in the shock wave velocity range V_SW from 8 to 10.6 km/s at a shock front pressure of p₀ = 0.25 Torr. The radiation wavelength range λ = 200–700 nm was investigated, where both molecular bands and atomic lines of nitrogen and oxygen contribute to the radiation. The measured radiation spectrograms were analyzed. The obtained results were compared with those obtained using the traditional time-integrated method, in which the radiation flux is recorded through a window in the side surface of the shock tube perpendicular to the tube axis as a “plug” of shock-heated gas passes the window.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):117-124

117-124

(Rus)

(JATS XML)

ADAPTATION OF SHALLOW WATER VORTEX MOTIONS TO CYCLOSTROPHIC BALANCE

Kalashnik M.

Аннотация

Within the framework of shallow water theory, the process of establishing cyclostrophic balance — a balance between the pressure gradient and centrifugal force — is investigated. To study the process of establishment (or adjustment), a Cauchy problem for disturbances with an unbalanced initial state in the form of an axisymmetric vortex is considered. The solution to the problem is represented by the sum of a stationary (balanced) and a non-stationary (wave) component. The stationary component is found using the law of conservation of potential vorticity. The wave component is found using the Fourier–Bessel transform. This component describes the gravity waves generated during the process of adjustment to cyclostrophic balance. Over time, the wave component dissipates spatially, and only the balanced part remains in the solution. The process of cyclostrophic adjustment is thus an important source of surface gravity wave generation.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):125-133

125-133

(Rus)

(JATS XML)

ICE FORMATION PROCESS SIMULATION ON AIRCRAFT HEATED SURFACES

Goryachev A., Goryachev P., Goryachev D., Lyubimov D., Nikolaev A., Nuriev M., Skripkin R.

Аннотация

An improved icing model is proposed that makes it possible to calculate the process of ice formation on objects of various shapes under conditions of cyclic heating of the surface of an aircraft element. The model describes the conjugated problem of unsteady heat exchange between the surface of an aircraft equipped with an electric heating element and an ice build-up formed on its surface by the impact of an atmospheric cloud of liquid supercooled droplets. The ice build-up is considered as a three-layer structure consisting of a water layer on the surface of the aircraft skin, the ice layer itself and a water film on its surface. The model was validated using experimental data (temperatures of an electrically heated wing model under icing conditions). The possibility of describing the transient processes occurring during the formation and mutual transformation of various combinations of phase states of ice build-up elements during cyclic heating is demonstrated. The results of calculating the thicknesses of water films and temperature fields at the ice boundary with the surface of the aircraft can be used to calculate the magnitude of the forces holding the ice on the surface and to predict its removal without complete melting.

Көрсету

Жасыру

Fluid Dynamics. 2025;(4):134-148

134-148

(Rus)

(JATS XML)

Пайдаланушының аты
Құпиясөз
Мені есте сақтау

Құпия сөзді ұмыттыңыз ба?	Тіркеу

Пайдаланушының аты
Құпиясөз
Мені есте сақтау

Құпия сөзді ұмыттыңыз ба?	Тіркеу