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Vol 57, No 3 (2019)

Heat and Mass Transfer and Physical Gasdynamics

Effects of Gravity on Plane-Symmetric Rod-Stabilized Flame Stabilization

Krikunova A.I.

Abstract

The current research is focused on the study of methane-air flame stabilization under the flow geometry variation for normal and upside-down (reverse) flame orientation. The experimental studies of plane-symmetrical rod-stabilized flames under the normal and reverse-oriented gravity conditions were carried out. The results of numerical simulation are presented. The blow-off is shown to be the function of stabilization-body position. We consider both V-shaped and M-shaped plane-symmetrical open flames for different Reynolds numbers, fuel-air ratio and flame orientation relative to the gravity direction. Blow-off limits appear to be independent on the gravity for the lean methane-air mixtures while the quenching processes are different for the normal and reverse-oriented gravity conditions. Blow-off is also accompanied by the chemiluminescence intensity decrease under reverse-oriented gravity conditions, which is exhibited in localized plume extinction and gradual quenching. While under the normal gravity, it appears via stepwise vortex separation from the lateral plume parts. Under such conditions chemiluminescence intensity remains almost constant. The blow-off time scale under the normal gravity conditions is bigger as compared to reversed-oriented ones by several times.

High Temperature. 2019;57(3):430-437
pages 430-437 views

Laminar Mixed Convection in a Vertical Flat Channel with a Constant Wall Heat Flux

Valueva E.P.

Abstract

An analytical solution to a system of momentum and energy equations was obtained for a fully developed laminar flow and heat transfer in a vertical flat channel with a constant wall heat flux under the effect of buoyancy force. The velocity and temperature profiles and the Nusselt numbers for the downward and upward flows are compared. The behavior of these parameters under the effect of the buoyancy force is explained. The predicted Nusselt numbers are compared with the available data for round pipes. All components of the hydraulic resistance coefficient encountered in the upward and downward flows are analyzed.

High Temperature. 2019;57(3):372-378
pages 372-378 views

Experimental Study of the Influence of the Shape of the Gap between the Rib and Flat Plate on the Near-Wall Flow Structure and Heat Transfer

Isaev S.A., Afanasiev V.N., Egorov K.S., Kong D.

Abstract

The article presents an analysis of the results of an experimental study of the dynamic and thermal characteristics of the turbulent boundary layer of the air near a heated plate at qw = const with rectangular ribs having slit channels of different geometry: confusor, diffuser, and plane-parallel. The slit channel is located between the plate and the lower rib wall. The results are compared with similar data for a solid rib without the slit channel. A Pitot–Prandtl microprobe with a microthermocouple and the Dantec Dynamics hot-wire anemometer were used, thus making it possible to study the laminar sublayer, the transition domain, and the outer part of the boundary layer. The influence of the slit profile on the average and the pulsation characteristics of the turbulent dynamic and thermal boundary layers in the median section of the plate with the slit rib is revealed. It is found that the separated zone disappears in the flow behind the ribs with the confusor slit.

High Temperature. 2019;57(3):379-387
pages 379-387 views

Simple Wave Transformations in the Channel

Pyatnitsky L.N.

Abstract

The Riemann wave describes the plane flow behind an infinite wavefront, though it is used to describe its propagation in channels. The influence of the walls on the process of wave propagation is not taken into account. However, friction against the walls slows the flow, and the limited diameter of the elementary plane waves, which compensate for the friction, undergo diffraction divergence. As a result, the entropy constancy and laminar flow structure are violated. This means that a simple wave as such may not exist in the channel. In this case, analysis of the friction and diffraction divergence make it possible to explain the turbulence occurrence in the flow and to find a way to form a simple wave of finite aperture with a large Rayleigh length.

High Temperature. 2019;57(3):388-392
pages 388-392 views

The Influence of the Angle of the Output Cut of a Cylindrical Channel on the Formation of Jets of Heated Gas and Overheated Liquid

Zhilkin B.P., Plotnikov L.V., Kochev N.S., Reshetnikov A.V., Mazheiko N.A., Busov K.A.

Abstract

The results of experimental research on the horizontal discharge of heated gas and overheated water through nozzles with channels having a round cross-section and different cutoff angles of the outlet aperture are presented. The processes of liquids and gases discharge are visualized via photographic survey and thermal-imaging diagnostics. Comparative analysis of the main characteristics of liquid and gas jets discharged at different initial conditions and channels of different configurations is performed. It is established that there is no shift in the jet axis with respect to the outlet-aperture axis during the discharge of heated gas through nozzles with a cutoff. Different behavior is observed during the discharge of overheated water through nozzles with a cutoff. In this case the jet axis is shifted towards the cutoff direction with respect to the outlet-aperture axis, which is in the interval 15°–18° depending on the initial conditions. Practical recommendations on the use of the discovered mechanisms in engine technology (during fuel atomization by nozzles) are suggested based on the research results.

High Temperature. 2019;57(3):393-397
pages 393-397 views

Dynamics of a Polydisperse Vapor Mixture Taking into Account Crushing, Coagulation, Evaporation of Drops, and Condensation of Vapor

Tukmakov A.L., Tukmakova N.A.

Abstract

A numeric model of a hydro- and thermodynamics of polydisperse vapor–droplet mixture was constructed. It takes into account the processes of the crushing, coagulation, and evaporation of droplets and vapor condensation. The dynamics of the carrier medium is described by a set of motion equations for a viscous, compressible, heat-conducting gas that takes into account the mass, impulse, and energy exchange with fractions of disperse phase. Each disperse fraction of droplets is described by a set of equations including the continuity equation for the average density, the equation for the conservation of impulse components, and the heat energy conservation equation. These take into account the interphase mass, impulse, and energy exchange with the carrier medium. Numerical solution of the equation set for motion of the carrier medium and fractions of disperse phase by the explicit McCormack method with splitting of the spatial operator by directions and with the scheme of nonlinear correction at each time step represents the main part of the computation algorithm, which is supplemented by models of the crushing, coagulation, and evaporation of droplets and vapor condensation with further correction of the hydro- and thermodynamic parameters of mixture. A software package was developed based on the presented model, and an example of the computation of polydisperse vapor–droplet mixture flow with the coagulation, crushing, and evaporation of droplets and vapor condensation in a channel composed of coaxial cylinders was shown.

High Temperature. 2019;57(3):398-406
pages 398-406 views

Graetz–Nusselt Problem for Bingham Liquid

Shapovalov V.M.

Abstract

The Graetz–Nusselt problem for Bingham liquid is solved by the approximate Kantorovich method. The solution is obtained in the form of a Fourier–Bessel series. The internal heat release at the expense of viscous dissipation is taken into account. Expressions for the temperature and local Nusselt number are obtained. The results of numeric analysis of the solution are presented.

High Temperature. 2019;57(3):407-413
pages 407-413 views

Reflection of Acoustic Wave Incident Normal to the Interface between Two Multifraction Gas Suspensions

Gubaidullin D.A., Teregulova E.A., Gubaidullina D.D.

Abstract

The characteristics of the reflection and refraction of an acoustic wave at its normal incidence to an interface between two multifraction gas suspensions have been studied. We obtain the calculation formulas for the impedance of a multifraction gas suspension, the reflection coefficient, and refraction index. The dependences of the absolute values and arguments of the refraction index and reflection coefficient on the dimensionless frequency are obtained.

High Temperature. 2019;57(3):414-419
pages 414-419 views

Characteristics of the Influence of Phase Sliding and Initial Pressure on the Dynamics of Detonation Waves in Bubbly Liquid

Gimaltdinov I.K., Lepikhin S.A.

Abstract

The dynamics of detonation waves in chemically active bubbly liquid is considered based on numeric simulation with consideration of the relative motion of phases. The influence of the parameters of the initial state of the medium (pressure and volume gas content) on the structure and propagation velocity of detonation waves is studied. Comparative analysis with known experimental data is performed.

High Temperature. 2019;57(3):420-424
pages 420-424 views

Characteristics of the Reflection and Refraction of Acoustic Waves at an “Oblique” Incidence on the Interface between “Pure” and Bubbly Liquids

Shagapov V.S., Galimzyanov M.N., Vdovenko I.I.

Abstract

The characteristics of the reflection and refraction of harmonic waves at its “oblique” incidence on an interface between a “pure” liquid and liquid with bubbles filled with a vapor–gas mixture have been studied. For the considered problem, we have obtained the dispersion equation and carried out a numerical analysis of the effect of the perturbation frequencies in the range 102–107 s–1 on the dependence of the angle of refraction on that of incidence for three equilibrium temperatures \({{T}_{0}}.\) The dependence of the critical angle of incidence on the parameters of a two-phase system and the perturbation frequencies has been studied for the same reflection.

High Temperature. 2019;57(3):425-429
pages 425-429 views

Plasma Investigations

Theory of High-Voltage Glow Discharge with Allowance for the Thermal Emission of Electrons

Sapronova T.M., Ul’yanov K.N.

Abstract

A kinetic theory of high-voltage glow discharge is developed with allowance for secondary electron emission and thermal emission. Poisson’s equation is solved for the space charge layer with allowance for the ion flux from the plasma to the layer and gas ionization in the layer by electrons, ions, and fast atoms. There are potential and kinetic ejections of electrons from the cathode surface. The current–voltage characteristics are calculated, the sizes of the space-charge layer are determined, and the electric-field distributions in the layer and some other characteristics of discharge with combined emissions are obtained for different ratios of the thermal emission current density to the secondary electron emission current density. It is shown that the thermal emission significantly affects the discharge parameters.

High Temperature. 2019;57(3):293-297
pages 293-297 views

Mechanisms of the Formation of an Electric Arc of a Helical Shape in an External Axial Magnetic Field

Urusov R.M., Urusova I.R.

Abstract

A numerical simulation of an open direct-current arc in an external uniform axial magnetic field is performed. A circuit analog of fluctuations of the temperature of electrons is used for the numerical implementation of the open electric arc column of a helical shape. It randomly generates asymmetry in the temperature distribution of electrons and, consequently, other plasma characteristics. It is shown that the formation of the arc column of a helical shape is due to the asymmetric influence of the Ampere force, which shifts the cross sections of the arc relative to the central discharge axis. Furthermore, the cross sections of the arc rotate around the central axis at different speeds. The rotational speed at the initial part from the side of the cathode decreases downstream and increases upon approaching the anode. Such a character of the convective heat transfer causes the formation of a helical arc. If the direction of the external axial magnetic field coincides with the direction of the electric current, then the spatial orientation of the helical arc as a whole is right-handed. Otherwise, there is a left-handed structure of the arc column. The directions of rotation of the arc sections at the cathode and anode sides are opposite each other. A helical shape of the open arc is not constant in time and is periodically destroyed. Two modes of destruction were revealed: first, as a result of bridging the spiral of the helix and, second, as a result of the transformation of several spirals into one. Apparently, an open arc cannot maintain a stable and constant helical shape in an external axial magnetic field.

High Temperature. 2019;57(3):298-307
pages 298-307 views

Highly Ionized Helium Arc Plasma. Determination of the Temperature in Nonequilibrium Conditions and the Effect of Plasma Microfields

Korshunov O.V., Chinnov V.F., Kavyrshin D.I.

Abstract

Methods are proposed for the spectral measurement of electron temperature Те in a highly ionized nonequilibrium He plasma at atmospheric pressure based on a comparison of the intensities of atomic and ionic lines with a whole complex of experimental data (primarily, ne). The large energy gap between the emitting HeI and HeII excited levels (of more than 50 eV) and allowance for the nonequilibrium manifested in the overpopulation of the atomic levels with respect to the ionic levels make it possible to make reliable and simple Те estimates, especially if the ionization energies of the emitting levels of the atom and the ion are close. For practical use, three pairs of HeI and HeII lines observed in the spectral range of 200–1100 nm are recommended. The radial and temporal (upon the quasistationary pulsed heating of the electric arc plasma) dependences of Те are obtained in the range of axial values of 3.2–4.7 eV.

High Temperature. 2019;57(3):308-315
pages 308-315 views

Analysis of the Operation of the Microwave Ion Source in the Electron–Cyclotron Resonance Mode for a Portable Neutron Generator

Stepanov D.S., Chebotarev A.V., Shkol’nikov E.Y.

Abstract

The authors present the results of numerical simulation of the kinetic processes in deuterium microwave-resonator plasmas with electron–cyclotron resonance at a nonuniform distribution of the magnetic and electric fields. For the actual configuration of the resonator module, the authors show the optimal magnetic field distribution in terms of energy efficiency. The solution of the kinetic scheme of the microwave discharge in deuterium plasmas makes it possible to relate the gas-discharge plasma properties with the parameters of the deuterium-ion source: the residual gas pressure, the gas flow into the microwave resonator, the charged particle flows on the wall and into the ion-optical system, the electrical and magnetic field strength and distribution in the resonator, and the power input into it. The results make it possible to reveal and implement generator operation modes with the highest characteristics ever recorded.

High Temperature. 2019;57(3):316-321
pages 316-321 views

Effect of Heat Release on a Gas Flow in a Channel with a Variable Cross Section

Shibkov V.M.

Abstract

The influence of the longitudinal distribution of heat release in a supersonic combustion of propane under the conditions of an unsteady pulsed discharge on the gas flow regime in a rectangular channel with a variable cross section is studiecd. It is shown that, with an increase in the mass flow rate of propane, the thrust arising from the supersonic combustion of a lean hydrocarbon fuel in an expanding aerodynamic channel, the pressure jump in the combustion area, and the air temperature in the closed pressure chamber increase. It is revealed that there is a limiting amount of hydrocarbon fuel that can be burned in a supersonic combustion regime in an expanding rectangular aerodynamic channel with side expansion angles α = β = 5° without transition to a subsonic flow, while the ratio of the exit and entry sections S2/S1 is 12.7. The experimental results are in satisfactory agreement with the data of mathematical modeling with allowance for additional heating of the cold supersonic flow in the region of an unsteady pulsed discharge.

High Temperature. 2019;57(3):322-328
pages 322-328 views

Thermophysical Properties of Materials

Mechanisms of the Recombination of Oxygen and Nitrogen Atoms on Quartz

Zhestkov B.E., Kozlov S.N., Alexandrov E.N.

Abstract

A heterogeneous recombination of nitrogen and oxygen atoms is considered. The installation and the method to determine the probability of heterogeneous recombination of oxygen and nitrogen atoms by resonance fluorescence spectroscopy under strictly controlled conditions are described. The variation of the recombination probability of nitrogen and oxygen atoms on the quartz surface is studied in the temperature range of 297–1000 K and pressures of 0.01–10 mbar. The regions of pressure and temperature in which recombination occurs predominantly according to the Langmuir–Hinshelwood mechanism or the Eley–Rideal mechanism are distinguished. Data on the recombination activation energy are presented. The recombination of nitrogen and oxygen atoms occurs mainly at various active centers.

High Temperature. 2019;57(3):329-334
pages 329-334 views

Thermodynamic Properties of ArH+ and ArH

Maltsev M.A., Morozov I.V., Osina E.L.

Abstract

The authors calculate the rovibronic partition functions and thermodynamic functions of ArH+ and ArH within the temperature range of 298.15–7000 K based on an analysis of their interatomic interaction potential. The calculation results have been added to the IVTANTHERMO Database.

High Temperature. 2019;57(3):335-337
pages 335-337 views

Density and Adiabatic Compressibility of LiF + KBr Mixtures in the Two-Phase Region

Stepanov V.P.

Abstract

In this paper, we experimentally studied the adiabatic compressibility β of an exfoliating liquid mixture, LiF +KBr, on the saturation line in a temperature range from the melting point to the critical mixing temperature using the sound velocity u measured by the pulse method and the density ρ determined by hydrostatic weighing based on the ratio β = u–2ρ–1.The coefficients of the temperature dependences of the compressibility and density of the upper and lower equilibrium phases are shown to have opposite signs due to the superposition of the thermal motion of ions and changes in the phase composition. The reduced differences β* and ρ* ​​for the contacting phases decrease with decreasing reduced temperature T* in accordance with the empirical exponential equations β* ≈ T*1.017 and ρ* ≈ T* 0.494.

High Temperature. 2019;57(3):338-342
pages 338-342 views

Surface Properties of Melts of Binary Systems of Alkali Metals

Kvashin V.A., Reutskaya N.S., Khokonov M.A., Kalazhokov Z.K., Kalazhokov Z.K., Baragunova Z.V., Kalazhokov K.K.

Abstract

The results of calculations of the surface properties of melts of alkali-metal systems based on experimental surface tension isotherms are presented. It is shown that the authors of the equation of the surface-tension isotherm have described experimental isotherms of the surface tension of binary alkali-metal systems with high accuracy. The results of calculations of the parameters of the surface-tension isotherm β and F, the component adsorption, and the surface composition of the melts of binary alkali-metal systems in approximations of ideal and real solutions are given. Analysis of the results shows that the binary systems Na–K, K–Rb, and Rb–Cs are closer than others to the ideal system. It is noted that one of the determining factors in the adsorption processes of components of binary alkali-metal systems is geometric: the greater is the ionic radius of the added component of the solvent radius, the stronger is the adsorption of the added (second) component of the binary system.

High Temperature. 2019;57(3):343-347
pages 343-347 views

Equations for Engineering Calculations of the Thermodynamic Properties of High-Temperature Dissociated Steam

Aminov R.Z., Gudym A.A.

Abstract

A system of equations is developed to calculate the properties of dissociated steam in the temperature and pressure ranges of 1250–3400 K and 0.01–10.00 MPa. These equations are based on detailed tables for dissociated steam compiled for a mixture of atoms of hydrogen and oxygen, hydroxyl OH, molecules of hydrogen and oxygen, and steam at a reference temperature of 0 K. Since the expansion of dissociated steam in a thermal engine results in its transformation into its common form, the equations for the parameters of dissociated or nondissociated steam uses the same reference temperature, i.e., the water triple point of  273.16 K. A system of equations for the calculation of dissociated-steam properties is derived with the generalized thermodynamic equation, which takes into account the change in the chemical potential and the composition of the mixture during steam dissociation, the Gibbs energy equation, differential thermodynamic equations, and equations for calculation the properties of nondissociated steam. To minimize the deviation of the steam properties calculated by the proposed equations from the table values, the considered temperature and pressure ranges have been divided into three regions. The deviation of the steam properties calculated by the proposed equations from the table values does not exceed 0.05–0.09%. The developed equations can be used in calculations of the processes of cooling of burners and combustion chambers during the combustion of hydrogen–oxygen mixtures, as well as cycles of heat engines that use high-temperature steam as a working fluid at temperatures over 1250 K.

High Temperature. 2019;57(3):348-354
pages 348-354 views

Liquid–Vapor Phase Transitions and Critical Properties of the C3H7OH–C6H14 System

Bazaev E.A., Bazaev A.R.

Abstract

Proceeding from the experimental (p,T,x) and (p,ρ,T,x) dependences for mixtures of 1-propanol and n-hexane (mole fractions 0.2, 0.5, 0.8, and 0.9) in the two-phase (liquid–vapor), single-phase (liquid and vapor), near-critical, and supercritical regions, the parameters of the points of liquid–vapor phase transformations have been determined by the method of isochore kinks p = f(T)ρ,x and the parameters of the critical points have been found by the semigraphical method with allowance for the scaling behavior. The dependences of the pressure on temperature, density, and composition along the phase-coexistence curve are described by a three-parameter polynomial equation of state: expansion of the compressibility factor Z = p/RTρ in powers of the reduced density, reduced temperature, and composition. The mean relative error of deviation of the calculated pressures from experimental values does not exceed 1%. The temperature dependence of the system density along the liquid–vapor phase-coexistence curve is described by two power-law functions at critical exponent β0 = 0.338 ± 0.002: far from the critical point and in the symmetric part of the equilibrium curve. The mean relative error is 1.47%.

High Temperature. 2019;57(3):355-360
pages 355-360 views

Influence of Hardening on the Speed of Ultrasound in Steels

Roshchupkin V.V., Lyakhovitskii M.M., Pokrasin M.A., Minina N.A.

Abstract

The work presents the results of an experimental study on the core speed of ultrasound, the relative thermal expansion, the densities, and the Young’s modulus calculated based on these data for several hardened and annealed steels in a wide temperature range. The experimental data were processed by the least-squares method, which made it possible to obtain approximating equations for the temperature dependences of the studied and calculated properties of steels.

High Temperature. 2019;57(3):361-367
pages 361-367 views

Analysis of Stability of Small Metal Clusters during Metal Vapor Condensation

Vorontsov A.G., Korenchenko A.E., Gelchinski B.R.

Abstract

A statistical analysis of the results of molecular-dynamic calculations of metal (Cu or Ti) vapor condensation in an inert gas (Ar) medium has been performed. Condensation proceeds with the formation of small particles consisting of metal atoms—clusters. The internal energy of the metal cluster—the sum of the kinetic energy of the atoms in the center of mass system and potential energy—is chosen as the key characteristic describing its state. It is shown that the internal energy value gives the possibility for the prediction of the duration of the cluster existence, from birth to decay, i.e., it describes the ability of the cluster to grow. The temporal evolution of the distribution function of the clusters over the internal energy values is presented.

High Temperature. 2019;57(3):368-371
pages 368-371 views

Short Communications

Analytical Representations of the Phase Equilibrium Curve of the Water–Vapor System

Kuznetsov N.M.

Abstract

A brief critical analysis of the theoretical P(T) liquid–vapor phase equilibrium curves is given. Based on the Clapeyron–Clausius equation and data on the heat capacity of water, a two-parameter expression of the P(T) curve is obtained for water in the temperature range from the triple point to 389 K. The parameters of the P(T) curve are determined from data on the pressure and heat of evaporation of water at the triple point. The accuracy of the P(T) function is comparable to the actual accuracy of standard thermodynamic tables for water and water vapor.

High Temperature. 2019;57(3):438-440
pages 438-440 views

Viscosity of a Melt of Polymer/Carbon Nanotube Nanocomposites. An Analogy with a Polymer Solution

Kozlov G.V., Dolbin I.V.

Abstract

A melt of polymer/carbon nanotube nanocomposites is considered as an analog of a polymer solution within the scope of fractal physical chemistry, in which a polymer matrix is simulated as a solvent and ring-like structures of carbon nanotubes are simulated as macromolecular coils of polymer. Further application of the fractal version of Mark–Kuhn–Houwink, which was developed to describe the behavior of polymer solutions, shows good agreement between the theoretical and experimental values of the viscosity of a melt of polymer/carbon nanotube nanocomposites.

High Temperature. 2019;57(3):441-443
pages 441-443 views

Acoustic Waves in Multifraction Gas Suspensions with Polydisperse Inclusions

Gubaidullin D.A., Zaripov R.R.

Abstract

The propagation of acoustic waves in multifraction gas suspensions with polydisperse inclusions has been studied. The disperse phase contains N fractions, which differ in size, the size-distribution functions of inclusions, and materials. The dispersion relation, which determines the dependence of the complex wavenumber on the perturbation frequency, is obtained. The dependences of the relative speed of sound and attenuation coefficient on the dimensionless perturbation frequency are obtained. The effect of heat transfer is analyzed.

High Temperature. 2019;57(3):444-446
pages 444-446 views