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Vol 51, No 2 (2016)

Article

Hydrodynamics of contact of a falling drop with a liquid free surface

Il’inykh A.Y., Chashechkin Y.D.

Abstract

A fine structure of the flows developing during primary contact of freely falling drops with a deep quiescent fluid is studied using the macrophotography and high-speed video filming methods. Water drops falling in water, alcohol, and oil, as well as drops of oil, petroleum, and aqueous solutions of salt or alcohol falling in water are investigated. The work is focused on the visualization of the finespray scattering from the primary contact area. The collisions of small droplets with the surface of the submerging drop are first recorded. The direction of the spray and streamer scattering is determined by the surface tension coefficients of the coalescing liquids. The conditions under which the spray droplets collide with the drop surface are determined.

Fluid Dynamics. 2016;51(2):127-135
pages 127-135 views

Unidirectional flows of binary mixtures within the framework of the Oberbeck–Boussinesq model

Andreev V.K., Stepanova I.V.

Abstract

Existence conditions are investigated for the unidirectional flows of binary mixtures describable by the equations of motion in the Oberbeck–Boussinesq approximation with account for the thermodiffusion effect. Possible solutions are classified, known and novel classes of exact solutions being distinguished. For the solutions obtained different formulations of boundary-value problems are proposed. Flows between two rigid walls with given heat distribution laws are described.

Fluid Dynamics. 2016;51(2):136-147
pages 136-147 views

Unsteady layered vortical fluid flows

Aristov S.N., Prosviryakov E.Y.

Abstract

An exact time-dependent solution of the system of Navier–Stokes equations governing large-scale viscous vortical incompressible flows is derived. The solution generalizes that describing the Couette flow. Two ways of preassigning the boundary conditions at the upper boundary of a fluid layer are considered. These are the time-dependent variation of the velocity value with the conservation of its direction and the variation of the angle at which the velocities parallel to the coordinate axes are directed. It is shown that at certain values of vorticity, viscosity, and the layer thickness the velocities within the layer can be severalfold greater than the given velocity at the boundary.

Fluid Dynamics. 2016;51(2):148-154
pages 148-154 views

Effect of the feeding pipeline properties on the nature of cavitation-induced self-oscillations in the presence of a ventilated cavity with a negative cavitation number in the system

Kozlov I.I., Ocheretyanyi S.A., Prokof’ev V.V.

Abstract

Physical modeling of a ventilated cavity with a negative cavitation number has shown that at the same flow rate and head parameters different cavitation-induced self-oscillation patterns can be realized. The generation of these patterns depends on the feeding pipeline parameters. The high-speed videofilming shows that the physics of the process are the same in different frequency regimes, the wave propagation velocity in the jet flow is mainly determined by the cavitation number, and the difference between self-oscillation patterns is characterized by the number of the waves along the cavity length. A method of estimating the self-oscillation frequencies from the given flow geometry and the cavitation number is proposed.

Fluid Dynamics. 2016;51(2):155-166
pages 155-166 views

On the cyclone-anticyclone asymmetry in the stability of rotating shear flows

Kalashnik M.V., Khapaev A.A., Chkhetiani O.G.

Abstract

The manifestations of the cyclone-anticyclone asymmetry on the stability of rotating shear flows are investigated both theoretically and experimentally. The stability of certain classes of shear flows, namely, rotating tangential discontinuities and flows with a constant shear, is analyzed. The dependence of the disturbance growth rate on the sign and absolute value of the shear is determined. The three-dimensional disturbances leading to longitudinal flow modulations are shown to be most dangerous. The results of the observations of the cyclone-anticyclone asymmetry effect in the laboratory conditions are presented.

Fluid Dynamics. 2016;51(2):167-179
pages 167-179 views

Instability of a charged droplet in an inhomogeneous electrostatic field of a thin rod

Grigor’ev A.I., Shiryaev A.A., Shiryaeva S.O.

Abstract

The problem of stability of oscillations of a charged droplet in an inhomogeneous electrostatic field of a thin charged rod is investigated in the nonlinear formulation using the asymptotic expansion in two small parameters, namely, the dimensionless equilibrium droplet strain and the ratio of the droplet oscillation amplitude to the droplet radius. It is shown that, when the droplet charge is less than the Rayleigh critical charge, in the inhomogeneous electrostatic field the droplet instability implementation mechanism remains the same as for the charged droplet in the field of a point charge. As the oscillation mode number increases, the critical field parameter reaches saturation tending to the horizontal asymptotics. The longer the rod, the higher the level of the asymptotics. As the rod length increases, the amplitudes of the related droplet oscillations and the increments of the unstable droplet oscillations in the electrostatic field of the rod decrease.

Fluid Dynamics. 2016;51(2):180-188
pages 180-188 views

Investigation of heat transfer of nanofluids in turbulent flow in a cylindrical channel

Guzei D.V., Minakov A.V., Rudyak V.Y.

Abstract

Turbulent flow of nanofluids based on the distilled water with aluminum and silicon oxide particles of different sizes in a cylindrical channel is studied. The results of the measurements of the heat transfer coefficient and the pressure difference are presented. The maximum volume concentration of the particles was not greater than two percents. The dependence of the heat transfer coefficient on the nanoparticle concentration and their sizes and material is studied. It is shown that a considerable increase in the nanofluid heat transfer coefficient, compared with the corresponding value for water, may generally be expected. At the same time, the heat transfer coefficient of a nanofluid depends on the nanoparticle size and material; because of this, under certain conditions the nanofluid heat transfer coefficient can turn out to be lower than that of the baseline fluid. Situations, when this can occur, are established. It is for the first time experimentally shown that the nanofluid viscosity coefficient depends not only on the nanoparticle size but also on its material.

Fluid Dynamics. 2016;51(2):189-199
pages 189-199 views

Numerical modeling of the laminar-turbulent transition control using a dielectric barrier discharge

Ustinov M.V.

Abstract

The control of laminar-turbulent transition driven by Tollmien–Schlichting waves is studied. The control is realized by means of accelerating the boundary layer flow using a dielectric barrier discharge. As distinct from the previous studies based on the solution of the boundary layer equations, the discharge effect on the main flow and unstable disturbances are described by the Navier–Stokes equations.

Fluid Dynamics. 2016;51(2):200-213
pages 200-213 views

Wave reaction of a dipole in a circulatory double-layer flow of finite depth

Vladimirov I.Y., Korchagin N.N., Savin A.S.

Abstract

An analytical solution of the problem of the wave action of a double-layer finite-depth circulatory flow on a dipole is derived. The cases in which the dipole is located in the upper and in the lower layer are considered. The values of the flow parameters at which the wave drag and the lift of the dipole become maximum are determined. The examples of numerical calculations under actual sea conditions, that is, in the presence of density jumps and with account for the sea depth, are presented. The singular cases of the lift variation are established.

Fluid Dynamics. 2016;51(2):214-223
pages 214-223 views

Dielectric liquid drop in a harmonic electric field

Kvasov D.I.

Abstract

The problem of the shape of a liquid drop and flows inside and outside the drop in a harmonic electric field is theoretically considered using the small-parameter expansion method. Taking the second-order terms into account makes it possible to consider charge transport over the drop surface.

Fluid Dynamics. 2016;51(2):224-239
pages 224-239 views

Distinctive features of countercurrent capillary imbibition

Kapranov Y.I.

Abstract

Capillary imbibition of a wetting fluid in a porous medium is studied. A method of constructing the exact solution of the corresponding problem is developed. An iteration procedure is developed for the case of countercurrent capillary imbibition. The salient features of the flow generated by capillary forces are revealed on the basis of numerical results.

Fluid Dynamics. 2016;51(2):240-252
pages 240-252 views

Unsteady motion of a bubble in a Hele-Shaw cell

Alimov M.M.

Abstract

New exact solutions of an idealized unsteady single-phase Hele-Shaw problem of air-bubble motion in a slot-type channel are constructed under the assumption of bubble symmetry relative to the central axis of the channel. Qualitative features of the interface evolution, which distinguish this case from the earlier considered cases of Hele-Shaw flow with different geometry, are detected.

Fluid Dynamics. 2016;51(2):253-265
pages 253-265 views

Dynamics of bubble rising in the presence of surfactants

Arkhipov V.A., Vasenin I.M., Usanina A.S.

Abstract

The results of experimental studies and theoretical analysis of the dynamics of a spherical bubble rising in a liquid with surfactants are presented for a wide range of Reynolds numbers. A refined empirical dependence for the bubble drag coefficient in the steady-state regime at Re < 1 is obtained. The influence of surfactants on the bubble shape and rising velocity in the transient regime is analyzed.

Fluid Dynamics. 2016;51(2):266-274
pages 266-274 views

Effect of a dielectric barrier discharge on laminar-turbulent transition on a flat plate in a disturbed external flow

Vatazhin A.B., Kholshchevnikova E.K.

Abstract

Numerical simulation is applied to study the distinctive features of the dielectric barrier discharge (DBD) effect on laminar-turbulent transition on a flat plate in the presence of disturbances in the external flow. The density distributions of the electric force and the discharge power acting on the gas are assumed to be uniform within the given discharge volume. To model the external disturbances the value of the turbulent viscosity in the differential model used is assumed to be nonzero at the boundary layer edge.

Fluid Dynamics. 2016;51(2):275-280
pages 275-280 views

Investigation of the annular nozzle start in actual and virtual intermittent aerodynamic setups

Afonina N.E., Gromov V.G., Levin V.A., Manuilovich I.S., Markov V.V., Smekhov G.D., Khmelevskii A.N.

Abstract

The results of a numerical and experimental investigation of the starting of jet-engine annular nozzle blown with the air at room temperature and high-temperature combustion products of a stoichiometric acetylene-air mixture in an intermittent aerodynamic setup are presented. The regimes and the times of the attainment of quasi-steady stAte of the flow are studied in the virtual full-scale counterpart of the experimental setup. The special features of the starting stage and the quasi-steady flow are studied for entry channels of different shapes. The values of starting times, the pressures at different points of the flow duct, and the thrusts produced by the annular nozzle measured in the physical experiment and obtained in the virtual experimental setup are compared.

Fluid Dynamics. 2016;51(2):281-287
pages 281-287 views

Effect of the angle of water entry of a body on the generated wave heights

Kozelkov A.S., Kurkin A.A., Pelinovskii E.N.

Abstract

The results of a numerical investigation of the angle of water entry of a body on the parameters of the waves generated in the near zone are presented. The disturbed region dimensions are studied and the laws of variation of the source parameters are established. It is shown that the cavity parameters most intensely vary at the body fall angles greater than 20° and obey a quasilinear law. The variation intensity increases with increase in the velocity, while the tendency of the linear law is conserved. The water entry of a body at an angle smaller than 20° occurs in accordance with another scenario, where the body can under certain conditions rebound from the water surface, while the disturbed region boundaries are rather smeared.

Fluid Dynamics. 2016;51(2):288-298
pages 288-298 views