No 3 (2023)
Articles
К 100-летнему юбилею Горимира Горимировича Чёрного
On Possibility of the Development of Instability of the Surface of the Dome of a Rising Bubble
Abstract
The results of experiments on the study of stability of the dome of a water bubble rising through a salt solution are presented. The experimental results are obtained using the PLIF method by recording the flow in the plane that coincides with the axis of symmetry of the bubble, The experiments demonstrate the possibility of the development of instability in the vicinity of the pole of the dome of such a bubble in accordance with the previously published results of computational simulation.
On the Theory of Magneto-Induced Circulations in Trombosed Channels
Abstract
The mathematical model and the method of its approximate analysis dealing with flows induced by a traveling magnetic field in a channel occupied by non-magnetic fluid with an embedded ferrofluid drop are proposed. One of the ends of the channel is assumed to be closed (thrombotic). The aim of the study is to develop the scientific basis for magnetically induced intensification of drug transport through thrombosed blood vessels.
Reconstruction of Three-Dimensional Structures of Electrohydrodynamic Flows Induced by Blade-Plane Geometry
Abstract
Particle image velocimetry (PIV) method has emerged as a powerful technique for electrohydrodynamic (EHD) flow field measurements. Based on a series of parallel field measurements along the blade electrode, we reconstruct the three-dimensional (3D) structure of EHD flows produced by an actuator in the blade-plane geometry. A non-uniform distribution of injection intensity and velocity is observed along the electrode. With the aid of slice plots from different views of 3D Cartesian, it is understood that the applied voltage, electrode spacing and the electrode surface or tip roughness exert a remarkable effect upon the structure of EHD jets. The findings of this investigation will complement the full view of the 3D structure of the jet and be of broad use to guide the selection of appropriate positions along the blade for profile plane studies.
Compressible Flows with Oscillating Boundaries
Abstract
The flow of a viscous compressible heat-conducting fluid in a plane channel with rigid oscillating walls is considered. It is shown that even a vanishingly small compressibility can be the reason for the onset of a resonance, i.e., sharp increase in the amplitude of oscillations of the flow parameters at a properly selected wall oscillation frequency. An exact analytical expression for the leading resonant frequency is given. Numerical calculations have demonstrated the possibility of a cumulative effect, namely, sharp increase in the mass flow rate even at constant pressure gradient.
Tangential Shear Stress in Oscillatory Flow of a Viscoelastic Incompressible Fluid in a Plane Channel
Abstract
The problems of oscillatory flow of a viscoelastic incompressible fluid in a plane channel are solved for a given harmonic oscillation of the fluid flow rate. The transfer function (amplitude–phase frequency response) is determined. Using this function, the effect of the acceleration oscillation frequency and the relaxation properties of fluid on the ratio of the tangential shear stress on channel wall to the velocity averaged over the channel cross-section (cross-sectional velocity) is determined. It is shown that the viscoelastic properties of fluid, as well as its acceleration, are the limiting factors for using the quasi-stationary approach. The found formulas for determining the transfer function for viscoelastic fluid flow in the case of non-stationary stream make it possible to determine the dissipations of mechanical energy in a non-stationary flow of the medium which are of importance for calculation of the control of hydraulic and pneumatic systems.
Effect of Small Angles of Attack on Turbulence Generation in Supersonic Boundary Layers on Swept Wings
Abstract
We present the new (for Mach numbers М = 3 and 3.5) and generalizing (for Mach numbers from 2 to 4) results of experimental investigations on the effect of small angles of attack on laminar-turbulent transition in the supersonic boundary layer on a swept wing with the leading-edge slip angle of 72°. The angle-of-attack variation has a strong effect on the transition Reynolds number. The transition Reynolds number decreases with increase in the Mach number. The measurements were carried out by means of a constant-temperature hot-wire anemometer using the proven procedure of determining the transition location. The eN method is used for the first time for numerically estimating the transition Reynolds numbers in the supersonic boundary layer on a swept wing with the leading-edge slip angle of 72°. The growth of the amplitudes of the steady and unsteady modes of the boundary layer crossflow are calculated in accordance with the linear stability theory, within the framework of the Lees–Lin system of equations. The numerical results indicate that, in accordance with the experimental results, laminar-turbulent transition in the boundary layer on the model swept wing is governed by the growth of stationary modes of the crossflow instability.
Gas Injection and Suction Effect on the Instability of a Supersonic Boundary Layer
Abstract
We present the results of an investigation of the boundary layer stability on a flat plate having a region of gas injection/suction normal to the wall at a large supersonic freestream Mach number. The laminar flow past a flat plate having a region of distributed injection/suction of fixed intensity is modeled numerically using the integration of Navier—Stokes equations. The unstable disturbances in the boundary layer distorted by injection/suction are analyzed within the framework of the linear stability theory and the method for compressible flows. High-frequency disturbances belonging to the plane second mode of the boundary layer, which are the most unstable at high velocities, are considered. It is shown that gas injection/suction leads to a nonmonotonic variation of disturbance growth rates with the appearance of stabilization/destabilization regions, as compared with the case in which injection/suction is absent.
Solution of the Inverse Problem of Calculating a Gas–Liquid Injector with a Two-Phase Flow
Abstract
We consider the possibility of solving the inverse problem of calculating a gas–liquid jet injector with a bubbly two-phase flow structure. The parameters governing the injector operation, such as the pressure difference, the orifice diameter, and the air concentration, are determined for the given value of the mean Sauter diameter. For this purpose, the operation of a mixer with a two-phase working body and injectors of different diameters was experimentally investigated in the bubbly operation regime with a water–air working body. In the experiments the parameters of the phases supplied to the mixer (flow rates, pressures, and temperatures) were measured, together with the pressure ahead of the injector. The dispersity and velocity parameters in the spray were measured using the laser shadow method. The statistics thus gathered allow one to obtain the required correlation dependences which makes it possible to solve the problem formulated.
Influence of the Initial Shape of a Bubble on Bubble Rise Dynamics in a Stagnant Viscous Fluid
Abstract
The effect of the shape of a single bubble at the initial instant on the bubble rising dynamics in a viscous fluid at rest is studied. Elliptical bubbles with various compression ratios are considered. Mathematical simulation of the process is based on the volume of fluid method, which makes it possible to trace the evolution of the interface. The results of calculations of test problems are in adequate agreement with the data of other authors available in the literature. The shapes of the interfacial surface and the velocity and vorticity fields in the process of bubbles rising in the gravity field are obtained at the Reynolds number Re = 35 and the Bond numbers Bo = 10 and 125. The main attention is paid to the regime of unsteady motion. It is shown that the bubble rise velocity has one or two local maxima depending on the properties of the media. It is found that bubbles initially elongated vertically rise more rapidly than those elongated horizontally.
ЧИСЛЕННОЕ ИССЛЕДОВАНИЕ ВЛИЯНИЯ ПОРИСТЫХ ЭЛЕМЕНТОВ КРЫЛА НА СВОЙСТВА СВЕРХЗВУКОВЫХ КОНЦЕВЫХ ВИХРЕЙ
Abstract
Исследовано влияние пористой законцовки крыла на формирование концевого вихря и его свойства при сверхзвуковом обтекании. Установлено, что пористая законцовка существенно влияет на структуру и параметры вихря, уменьшает его интенсивность.
Estimation of the Efficiency of Oil Displacement by a Micellar Solution with Addition of Nanoparticles Based on a Bulk Model of Porous Medium
Abstract
The results of laboratory studies of the features of processes of flow through a porous medium are given for a physical model of the porous medium obtained by sintering glass beads. The program for manufacturing physical models is described and the results of the efficiency of displacement of vaseline oil by various compositions are presented. Water, mineralized water, micellar solutions, nanofluids, and micellar solutions with addition of nanoparticles were considered as the displacement agents. Based on an analysis of images, curves of variation in the saturation of the model porous medium with vaseline oil in the process of its displacement by various compositions are obtained. The micellar solutions with addition of nanoparticles were shown to be the most effective oil displacement agents in comparison with other presented compositions.
Generation of a Vertical Fine Structure by Internal Waves on the Sea Shelf
Abstract
Free internal waves are considered in the Boussinesq approximation with account of horizontal turbulent viscosity and diffusion in a two-dimensional flow in the sea of constant depth. In the linear approximation the boundary-value problem for the amplitude of vertical velocity has complex coefficients and is solved numerically using the third-order implicit Adams method. The vertical component of the Stokes drift velocity and the vertical wave fluxes of mass and salt are found in the second order in the wave amplitude. These fluxes lead to generation of a vertical fine structure that has an irreversible nature.
Structure of Shock Wave in Oxygen
Abstract
The results of numerical study of relaxation processes in oxygen at high temperatures are presented. Collisions of particles (atoms and molecules) are described by the molecular dynamics methods based on trajectory calculations within the framework of classical mechanics. A complex of programs for calculating the relaxation processes in mixtures of high-temperature gases involving internal modes that describe rotational and vibrational motions in molecules and molecular dissociation and atomic recombination in the presence of a third body is described. The relaxation process is described with reference to variation in the parameters in a mixture of atomic and molecular oxygen with various initial temperatures of the translational and internal modes. The results of calculations of the structure of shock wave in oxygen with the maximum translational temperature on the front higher than 5000–11 000 K are given. The results obtained are compared with experimental data.