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Том 53, № 3 (2018)

Article

Numerical and Experimental Study of Bubble Dynamics in Contact with a Solid Surface

Abramova O., Akhatov I., Gumerov N., Pityuk Y., Sametov S.

Аннотация

A complex numerical and experimental method is proposed for studying 3D dynamics of a bubble contacting with a surface in the presence of an acoustic field. The numerical approach is based on the boundary element method for potential flows, which is most efficient for solving the problems in a 3D formulation. The use of heterogeneous computer architectures consisting of central graphic processors and becoming more and more popular makes it possible to increase the scale of the problem and sufficiently reduce the calculation time. The mesh destabilization problems are solved using a spherical filter. To describe the contact line dynamics, a semi-empirical law of motion is used. The experimental method is based on high-speed recording and optical microscopy. An air bubble contacts with the inner surface of an experimental cell made from acrylic glass and filled with distilled water. The acoustic field in the cell generated by a disk-shaped acoustic radiator is measured using a hydrophone. The behavior of the bubble contacting with a hydrophillic surface is considered for the cases of a fixed or moving contact line. The shape and volume oscillations of the bubble are investigated. The results of numerical simulations agree qualitatively with the experimental data.

Fluid Dynamics. 2018;53(3):337-346
pages 337-346 views

Development of the Strategy of Active Control of Instability Waves in Unexcited Turbulent Jets

Belyaev I., Bychkov O., Zaitsev M., Kopiev V., Kopiev V., Ostrikov N., Faranosov G., Chernyshev S.

Аннотация

The possibility of controlling instability waves in the mixing layer of a subsonic unexcited jet is studied. These waves can be noise sources in both free jets and jets as parts of configurations. In the study the method of experimental diagnostics of the instability waves in the near field of a jet using an azimuthal multimicrophone array is realized. The data on the near field fluctuations are used for testing the control strategy proposed by the authors. The strategy consists in narrowband sliding filtration of the original signal and the formation of a narrowband controlling action on the basis of the linear principle of signal superposition. The results of the study represent the next step toward the realization of an active control system suppressing natural instability waves in turbulent jets.

Fluid Dynamics. 2018;53(3):347-360
pages 347-360 views

Distinctive Features of the Dynamics of a Bubble Detonation Wave in Tubular Clusters

Gimaltdinov I.

Аннотация

The distinctive features of the passage of a detonation wave from a tubular body of a bubbly liquid confined by a layer of a “pure” liquid into a region of a homogeneous bubbly liquid are investigated. It is shown that the detonation wave propagating in the tubular bubble cluster can break away on the passage through a region, where the cluster radius increases jumpwise, due to the two-dimensional wave scattering in the expansion zone, despite an increase in the system power-intensity.

Fluid Dynamics. 2018;53(3):361-371
pages 361-371 views

Stability Analysis of a Falling Film Flow Down a Plane with Sinusoidal Corrugations

Mogilevskii E., Shkadov V.

Аннотация

The liquid viscous film falling down a vertical wall with sinusoidal relief is considered. The linear stability of steady-state flow with respect to time-periodic disturbances is studied using the Floquet theory. It is shown that in the case of applying corrugations the variation in the disturbance growth rate is proportional to the second power of their undulations. Depending on the relief parameters there exist two possibilities: the instability domain can expand or certain disturbances can be stabilized. The growth rates are obtained numerically and analytically in the approximation of low-amplitude corrugations. The development of waves from small disturbances is simulated within the framework of nonlinear equations and the formation of structures whose wavelength is significantly greater than the space relief period is found out.

Fluid Dynamics. 2018;53(3):372-384
pages 372-384 views

Computational and Experimental Investigation of the Development of Turbulent Mixing in a Gas Layering in Passage of a Shock Wave

Bodrov E., Zmushko V., Nevmerzhitskii N., Razin A., Sen’kovskii E., Sotskov E.

Аннотация

The experimental data and the results of direct numerical simulation of the flow developed in a constant-cross-section tube in passage of a shock wave through a three-layer gas system are presented. The three-layer systemis formed as a result ofmounting two thin films in the tube and filling the space between them with gases of different densities. The first interface (thin film) makes an angle of 45◦ with the shock front and the second interface is located in parallel to the front. The shock wave is formed at the left tube end and moves towards the first interface at the Mach number M = 2.4. The results of simulation of the problem are compared with the experimental data.

Fluid Dynamics. 2018;53(3):385-393
pages 385-393 views

Investigation of Flow past a Flat Plate in the Strong Interaction Regime

Balashov A., Dudin G.

Аннотация

Viscous gas flow past a finite-length plate in the strong interaction regime is investigated. The expansions of the flow functions in the vicinity of the leading edge are derived and the boundary value problems for the viscous and inviscid flow regions are formulated and jointly solved. The effect of the adiabatic exponent and the temperature factor on the flow parameters in these regions and the eigenvalue determining the intensity of the upstream disturbance transfer is studied. It is shown that in the non-self-similar case a transitional layer arises at the outer edge of the boundary layer.

Fluid Dynamics. 2018;53(3):394-401
pages 394-401 views

Long Wave Run-up on Plane and “Non-Reflecting” Slopes

Didenkulova I., Pelinovsky E., Rodin A.

Аннотация

The long wave run-up on two types of slopes is investigated numerically within the framework of nonlinear shallow water theory using the CLAWPACK software. One of the slopes represents a plane slope widely used in the laboratory and numerical experiments; the second is the so-called “non-reflecting” slope (h ~ x4/3, where h is the basin depth and x is the distance from the shoreline). In the case of very low wave amplitudes when there is no wave breaking, the run-up height is greater on the non-reflecting beach than that on the plane slope. As the wave amplitude increases, the breaking effects have the stronger impact in the case of non-reflecting beach and the run-up height becomes smaller.

Fluid Dynamics. 2018;53(3):402-408
pages 402-408 views

Application of the Skeleton Model of a Highly Porous Cellular Material in Modeling Supersonic Flow past a Cylinder with a Forward Gas-Permeable Insert

Kirilovskiy S., Maslov A., Mironov S., Poplavskaya T.

Аннотация

The supersonic (M = 4.85) flow past a cylinder with a forward insertmade of a highlyporous cellular material is numerically modeled within the framework of the Reynolds-averaged Navier–Stokes equations. The air flow in the gas-permeable insert is described on the basis of a skeleton model of a highly-porous medium, whose determining parameters are the porosity coefficient (95%) and the pore dimensions (1 mm) of the actual cellular material. The aerodynamic drag coefficients of the model with different lengths of the porous forward insert are calculated on the unit Reynolds number range from 6.9 × 105 to 13.8 × 106 m−1. They are in agreement with the available experimental data, which indicates the adequacy of the proposed skeleton model in describing the actual properties of highly-porous materials.

Fluid Dynamics. 2018;53(3):409-416
pages 409-416 views

Free-Molecular Gas Flow in a Channel with Curving Boundary

Kosyanchuk V., Yakunchikov A.

Аннотация

Free-molecular gas flow through a microchannel with moving walls curved in accordance with the wave law is simulated numerically. It is shown that the probability of passage of the gas molecules through such a channel depends significantly on the dimensionless ratio of the channel wall wave velocity and the characteristic thermal velocity of the gas molecules. It is revealed that the probabilities of passage are also significantly different when the gas flows “along with” and “against” the direction of wave propagation on the boundary. Applications of this effect to both creating microseparating devices and designing micropumps are discussed. The effect of the problem parameters on the efficiency of these devices is investigated.

Fluid Dynamics. 2018;53(3):417-427
pages 417-427 views

Formation of Small Clusters in the Free Expanding Water Vapor Plume

Bykov N.

Аннотация

The results of calculations of water vapor outflow from a source, in which the pressure and temperature are maintained constant, into a vacuum through an orifice in the infinitely thin wall are presented. The calculations are carried out using the direct simulation Monte Carlo method when the processes of water cluster formation/decay in the flow field are taken into account. The vapor flow regimes transient with respect to the Knudsen number are considered. The effect of the cluster formation processes on the parameters of flow which becomes significant for the mole cluster fraction above 4%is analyzed. The effect of “freezing” the mole cluster concentrations with increase in the distance from the source is demonstrated. The influence of the probabilities of monomer and dimer association during pair collisions, used in the model, on themole dimer fraction is investigated. The results obtained are compared with the available experimental data.

Fluid Dynamics. 2018;53(3):428-437
pages 428-437 views

On the Passage of a Shock Wave through a Layer of Charged Gas

Golubyatnikov A., Kovalevskaya S.

Аннотация

A class of exact solutions of the ideal electrohydrodynamics equations is presented. These solutions describe the propagation of a plane shock wave along a static background with decreasing density in the presence of gravity and longitudinal electric fields. This class of solutions contains an arbitrary function of the Lagrangian variable which makes it possible to consider many physically different cases.

Fluid Dynamics. 2018;53(3):438-441
pages 438-441 views

Dynamic Mode Decomposition of a Wing-Body Junction Flow

Wang J., Ming X., Wang H., Ma Y., Wang C.

Аннотация

Junction flows are subject to an intense adverse pressure gradient and three-dimensional separation when encountering a wall-mounted obstacle. A dynamically rich horseshoe vortex system is formed in this region. In this study the junction flow at the interaction of a wing and a flat plate is investigated. The numerical modelling is carried out using the three-dimensional large eddy simulation (LES) approach at the Reynolds number Re = 1.15×105 based on the wing’s maximum thickness T and the free stream velocity Uref. The comparison with the experimental results shows that the numerical simulations fairly accurately reproduce the phenomenon under study. The dynamic mode decomposition (DMD) of the resolved flow field is employed to obtain the coherent dynamics of the flow. To clearly demonstrate the oscillation characteristics and the horseshoe vortex structures of junction flow the velocity field in the plane of symmetry is decomposed with eduction of two dominant DMDmodes. These two DMDmodes are reconstituted and developed, together with the mean flow mode to explain the latent dynamics. Mode 1 reveals the merging of the horseshoe vortices and mode 2 is responsible for the process of fission and stretching.

Fluid Dynamics. 2018;53(3):442-451
pages 442-451 views