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Vol 56, No 2 (2018)

Plasma Investigations

Method for the Calculation of the Electric Field near a Paraboloidal Metal Tip above a Conducting Plane

Petrin A.B.

Abstract

A theoretical method for the determination of an electric field near a paraboloidal metal (conducting) tip has been proposed. The accuracy of the proposed numerical solution has been analyzed. The dependence of the electric field strength at the tip vertex on the distance to the plane, which is applicable for predicting fields in various physical problems and engineering calculations, has been considered. The characteristic spatial distributions of the electric potential and field are presented.

High Temperature. 2018;56(2):157-161
pages 157-161 views

Effect of Elastic Collisions on the Ion Distribution Function in Parent Gas Discharge Plasma

Mustafaev A.S., Nekuchaev V.O., Sukhomlinov V.S.

Abstract

An analytical solution is obtained for the Boltzmann kinetic equation for ions in the plasma of its gas with allowance for the processes of resonant charge exchange and elastic ion scattering on the atom. The cross section of differential elastic scattering was assumed to be isotropic in the system of the mass center, and the resonant charge exchange process is independent of the elastic scattering. It is shown that the ion velocity distribution function is determined by two parameters and differs significantly from the Maxwellian one. The allowance for elastic scattering with these assumptions leads to a change in the ion angular distribution and also to a decrease in the average ion energy due to the transfer of part of the ion energy to atoms upon elastic collisions. The calculated values of the drift velocity, the average energy, and the coefficient of transverse diffusion of He+ ions in He, Ar+ ions in Ar are compared with the known experimental data and the results of Monte Carlo calculations; they show good agreement.

High Temperature. 2018;56(2):162-172
pages 162-172 views

On Temperature Effects in the Correlation Functions of a Degenerate Electron Plasma

Bobrov V.B., Trigger S.A.

Abstract

It is shown based on explicit expressions for structural factors and longitudinal and transverse permittivities of degenerate electron plasma within the ideal-gas approximation that temperature effects should be taken into account in these functions to correctly describe the region of small values of wave vectors and frequencies.

High Temperature. 2018;56(2):173-176
pages 173-176 views

Thermophysical Properties of Materials

Joint Study of Temperature Dependences of Thermal Expansion and Heat Capacity of Solid Beryllium

Bodryakov V.Y.

Abstract

This work presents the detailed joint study of temperature dependences of thermal expansion and heat capacity of solid beryllium. It is shown that, as for the earlier studied solid bodies, within the limits of experimental and statistical errors, the heat capacity C(T) and the temperature coefficient of volume expansion β(T) in the entire range of the HCP-phase of metal are in a pronounced correlation β(C) that has a typical (as earlier) “bilinear” form consisting of two smoothly conjugate linear sections with the up-fracture hitting the classical Dulong and Petit heat capacity limit 3R. The consistent values of the heat capacity obtained and the thermal expansion are tabulated and an estimate of the temperature dependence of the Grüneisen differential parameter γ′ ~ (∂β/∂C) is given.

High Temperature. 2018;56(2):177-183
pages 177-183 views

Ideal and Ultimate Tensile Strength of a Solid Body

Baidakov V.G., Tipeev A.O.

Abstract

The mechanical stability of an ideal elastic solid under infinitesimal and finitesimal changes in its state parameters is considered. The temperature and density dependences of the isothermic moduli of bulk compression K, simple shear, and tetragonal shear in a Lennard-Jones face-centered cubic (FCC) crystal have been determined by means of molecular dynamic experiments in the region of stable and metastable states. It has been shown that the crystalline phase remains stable under long-wave spatially nonuniform density fluctuations on the spinodal (K = 0) at pressures below the pressure of the endpoint of the melting line (p < pK < 0). Here, the critical nucleus formation work is also finitesimal. Hence, spinodal states in quasisteady- state processes at p < 0 not only are attainable, but the transition across the spinodal without destroying the homogeneity in the substance also proves to be feasible. In this case, the boundary of the ideal strength of a solid is set by the vanishing of the uniaxial compression modulus \(\tilde K\) for a certain specified deformation direction. The spinodal also is not the boundary of the ideal strength of a solid at positive and small negative pressures. A solid loses its ability for a restorative response to finitesimal spatially nonuniform density disturbances before the spinodal (\(\tilde K\) = 0) is attained.

High Temperature. 2018;56(2):184-192
pages 184-192 views

Determination of Opaque Material Temperature from the Spectral Distribution of Emitted Radiation Intensity with Unknown Emissivity

Rusin S.P.

Abstract

The thermodynamic temperature of an opaque material with unknown emissivity was determined from the recorded distribution of spectral intensities of the emitted radiation. The initial system of equations was derived in the logarithmic form in accordance with the Planck formula. At the first stage, the spectral dependence of the material emissivity was investigated with a special function—relative emissivity. Based on the analysis of spectral dependences of this function at different reference temperatures, a parametric model for the material emissivity was chosen. At the second stage, the desired parameters of the chosen model of spectral emissivity and the thermodynamic temperature of the material were determined. An example of the determination of a temperature of a tungsten sample from the spectral distribution of emitted radiation intensities is given. A method for narrowing the range, which includes the thermodynamic temperature of the material, is presented.

High Temperature. 2018;56(2):193-200
pages 193-200 views

Viscosity of Cobalt Melt: Experiment, Simulation, and Theory

Khusnutdinoff R.M., Mokshin A.V., Bel’tyukov A.L., Olyanina N.V.

Abstract

The results of experimental measurements, molecular dynamics simulation, and theoretical calculations of the viscosity of a cobalt melt in a temperature range of 1400–2000 K at a pressure p = 1.5 bar corresponding to an overcooled melt at temperatures of 1400–1768 K and an equilibrium melt with temperatures from the range 1768–2000 K are presented. Theoretical expressions for the spectral density of the timedependent correlation function of the stress tensor \(\tilde S\) (ω) and kinematic viscosity ν determined from the frequency and thermodynamic parameters of the system are obtained. The temperature dependences of the kinematic viscosity for the cobalt melt are determined experimentally by the torsional oscillation method; numerically, based on molecular simulation data with the EAM potential via subsequent analysis of the time correlation functions of the transverse current in the framework of generalized hydrodynamics; and by the integral Kubo–Green relation; they were also determined theoretically with the Zwanzig–Mori memory functions formalism using a self-consistent approach. Good agreement was found between the results of theoretical calculations for the temperature dependence of the kinematic viscosity of the cobalt melt using experimental data and the molecular dynamics simulation results. From an analysis of the temperature dependence of the viscosity, we obtain an activation energy of E = (5.38 ± 0.02) ×10–20 J.

High Temperature. 2018;56(2):201-207
pages 201-207 views

Heat and Mass Transfer and Physical Gasdynamics

Heat Transfer in Meshed Metallic Materials with Interchannel Transpiration and Two-Dimensional Intermesh Flow of a Heat-Transfer Fluid

Pelevin F.V.

Abstract

Some experimental data on the heat transfer in different meshed metallic materials with interchannel heat-transfer fluid transpiration and two-dimensional intermesh flow are presented. It is established that the thermal conductivity of a wire mesh material and the relative pathway, intermesh velocity, and thermophysical properties of a heat-transfer fluid has an effect on the heat transfer in meshed metallic materials with the two-dimensional flow of a single-phase heat-transfer fluid.

High Temperature. 2018;56(2):208-216
pages 208-216 views

Convective Heat Transfer at an Annular Jet Impingement on a Flat Blockage

Terekhov V.I., Kalinina S.V., Sharov K.A.

Abstract

The experimental results on heat transfer of an annular impinging jet have been. The Reynolds numbers Re = (1.2–3.6) × 104, the distance S from the nozzle to a blockage, S/d0 = 2, 4, 6, and the circular slit height d2/d0 = 0.51 and 0.71, where d0 and d2 are the internal and external nozzle diameters, have been varied. It is shown that at the same air mass flow rate, replacement of a round nozzle with an annular one results in heat-transfer intensification (up to 70% at the stagnation point). The maximum heat transfer gain occurs at a small nozzle–wall distance (S/d0 = 2). The heat-transfer increase is accompanied by an increase in the thermal pulsation intensity. The degree of intensification of the heat exchange depends on the height of the circular slit and the nozzle–wall distance.

High Temperature. 2018;56(2):217-222
pages 217-222 views

The Variational Form of the Mathematical Model of a Thermal Explosion in a Solid Body with Temperature-Dependent Thermal Conductivity

Zarubin V.S., Kuvyrkin G.N., Savel’eva I.Y.

Abstract

The variational form of a mathematical model of a thermal explosion has been developed based on a variational formulation of a nonlinear problem of stationary thermal conductivity in a homogeneous solid body. The model takes the temperature dependence of the thermal conductivity of a solid body into account. The presented example of quantitative analysis of the model demonstrates a method for finding the combination of parameters for determining a thermal explosion in a plate with an exponential temperature dependence of the thermal conductivity. At the same time, the analysis allows one to identify the number of steadystate temperature distributions inside a body whose energy release intensifies with a temperature increase.

High Temperature. 2018;56(2):223-228
pages 223-228 views

Numerical Simulation of Fire Vortices with Consideration of Gravity and Coriolis Forces

Bautin S.P., Obukhov A.G., Barannikova D.D.

Abstract

Numerical simulation of the swirled air flow around a fluently heated vertical cylindrical domain was performed under the influence of gravity and Coriolis forces. Solutions were obtained for the complete system of Navier-Stokes equations with constant coefficients of viscosity and thermal conductivity; together with initial and boundary conditions, they describe complicated nonstationary three-dimensional flows of compressible heat conducting gas. All gasdynamic parameters (density, temperature, and three components of gas velocity for various moments of time at the initial stage of air flow formation) are calculated with explicit-difference schema. Instantaneous streamlines corresponding to trajectories of particles in appearing flow were plotted. A negative swirling of air flow during heating of the vertical cylindrical domain was established.

High Temperature. 2018;56(2):229-233
pages 229-233 views

Microwave Heating of an Emulsion Drop

Kovaleva L.A., Musin A.A., Fatkhullina Y.I.

Abstract

The results of numerical modeling of the microwave heating of a water-in-oil emulsion drop in a gravity field with consideration of the empirical temperature dependence of the viscosity of the liquid surrounding the drop are presented. The system of thermal convection equations is considered in the Boussinesq approximation. The solution is obtained by the control volume method with the SIMPLE algorithm and by the VOF method. It is established that the emerging convective structures result in nonuniform heating of the drop predominantly near the surface, which can lead to a local rupture of the armor envelope and the formation of fine-dispersed phase. It is shown that there is an optimal range of power of microwave field in which an intensive deposition of water drops occurs, which leads to water-oil emulsion breakdown.

High Temperature. 2018;56(2):234-238
pages 234-238 views

Numerical Study of the Effect of Rotation on the Behavior of the Conjugate Heat and Mass Transfer on the Surface of a Spherically Blunted Cone Exposed to a Hypersonic Flow at an Angle of Attack with Ablation from the Surface

Efimov K.N., Ovchinnikov V.A., Yakimov A.S.

Abstract

The processes of heating a body in a high-enthalpy spatial flow with allowance for body rotation around its longitudinal axis and ablation of the thermal protection material are studied by means of mathematical simulation. The obtained solution of the problem in conjugate formulation allowed us to take into account the effect of nonisothermic characteristics of the shell on the heat and mass transfer in the boundary layer.

High Temperature. 2018;56(2):239-246
pages 239-246 views

The Use of the RANS/ILES Method to Study the Influence of Coflow Wind on the Flow in a Hot, Nonisobaric, Supersonic Airdrome Jet during Its Interaction with the Jet Blast Deflector

Benderskii L.A., Lyubimov D.A., Chestnykh A.O., Shabanov B.M., Rubakov A.A.

Abstract

The influence of the coflow wind on the flow in a hot, nonisobaric, supersonic airdrome jet from a biconical nozzle and its interaction with a jet blast deflector (JBD) are studied by the RANS/ILES method. The conditions at the external boundary of the computational domain are formulated for the problem of jet interaction with the JBD. All calculations were performed at the Joint Supercomputer Center of the Russian Academy of Sciences with a MVS-10P supercomputer. The features of method parallelization for the supercomputer with modern architecture are described. The total temperature of the jet at the nozzle output is T0 = 1050 K and πс = 4. The wind velocity ranges from 0 to 20 m/s. Two JBD positions are examined: at distances of 5 and 15De of the nozzle cross section. The computation grids consist of (6.33–8.53) × 106 cells. Fields of the flow parameters and of their turbulent pulsations near the jet are obtained. The dimensions of the “safety zone” for people and machinery is determined by the temperature, pressure pulsations, and velocity near the airdrome surface. The influence of wind velocity on the size and shape of the safety zone are revealed. The distributions of pressure and temperature and their pulsations over JBD altitude are presented as a function of JBD position and wind velocity.

High Temperature. 2018;56(2):247-254
pages 247-254 views

Functional Surfaces with Enhanced Heat Transfer for Spray Cooling Technology

Romashevskiy S.A., Ovchinnikov A.V.

Abstract

In this study the effects of nano/microstructuring and surface chemistry on wettability, evaporation rate and the Leidenfrost temperature are experimentally investigated. The functional surfaces with two alternative patterns were originally fabricated via direct femtosecond laser surface processing of polished silicon wafer in air at a fluence slightly above ablation threshold. The droplet lifetime method was used to measure the evaporation rate of a water droplet (4.5 μL) at surface temperatures of 25–350°C and to determine the Leidenfrost temperature. Generally, after processing the functional surfaces with hierarchical surface morphology demonstrate enhanced wetting behavior, evaporation rate enhancement and positive shifts in the Leidenfrost temperature. The functional surfaces with a microgrooved surface pattern, extensively covered by flake-like nanostructures, exhibit strong superhydrophilicity, resulted in a significant temperature-dependent enhancement of evaporation rate (up to 6 times) and an increase of about 30°C in the Leidenfrost temperature relative to the polished surface. The functional surfaces with a microcratered surface pattern being only hydrophilic demonstrate a nearly twofold temperature-independent enhancement of evaporation rate. Thermostability tests showed the heating of the functional surfaces above 340°C to be resulted in a drastically deteriorated wettability and a reduction of evaporative heat transfer performance under repeated experiments.

High Temperature. 2018;56(2):255-262
pages 255-262 views

High Temperature Apparatuses and Structures

Thermodynamic Modeling of the Composition and Characteristics of Combustion Products of Overrich Liquid Rocket Fluids in the Quenching Mode

Dorofeev A.A., Yagodnikov D.A.

Abstract

The working process in the regenerative gas generators of liquid rocket engines is analyzed and a method for computer simulation based on the Zel’dovich’s model of “quenching” the composition of the products of high-temperature combustion as a result of rapid cooling on supplying an excess of the low-temperature component and the resulting chemical quasi-nonequilibrium is developed. The method is implemented and tested on the basis of the TERRA software package in calculations of the composition and properties of the propellant produced by regenerative gas generators using oxygen as the oxidizer and methane as the fuel. The vacuum specific impulse of the considered fuel is calculated for the possible conditions of a quasi-nonequilibrium working process.

High Temperature. 2018;56(2):263-269
pages 263-269 views

On the Relevance of Practical Application of Numerical-Theoretical Models of Oxidation of a Carbon Material in Gas Flows

Gorskii V.V., Olenicheva A.A.

Abstract

The relevance of the application in practice of two different approaches to the calculation of the rate of carbon heterogeneous oxidation has been analyzed. One of the methods is based on the assumption that the oxidation rate is proportional to the oxidant partial pressure at the wall, while the other presumes the oxidation rate dependence on the velocity of oxidant particles bombarding the wall. The conclusion is made on the relevance of the first approach practical application and the infeasibility of the use of the second one.

High Temperature. 2018;56(2):270-274
pages 270-274 views

Review

Gas-Solid Flows Past Bodies

Varaksin A.Y.

Abstract

The paper presents a review of theoretical and experimental works devoted to two-phase (gas-solid) flows past bodies. The particularities of particle motion in the vicinity of bodies of various shapes and the influence of the disperse phase on the drag force and heat transfer are considered. Some consequences of the interaction of particles with body surfaces (erosive destruction, gasdynamic spraying, icing, and glowing) are analyzed.

High Temperature. 2018;56(2):275-295
pages 275-295 views

Short Communications

Characteristics of the Development of Electric Discharge between Jet Anode and Liquid Cathode

Galimzyanov I.I., Gaisin A.F., Fakhrutdinova I.T., Shakirova E.F., Akhatov M.F., Kayumov R.R.

Abstract

We present experimental results on the behavior of the burning of electrical discharge between a nonuniform jet anode and liquid cathode and of the discharge voltage and current pulsations for various voltages of the power supply. We determine the frequency spectrum of the discharge voltage oscillations, as well as the temperatures on the electrolyte cathode surface, by means of infrared thermography and pyrometer.

High Temperature. 2018;56(2):296-298
pages 296-298 views

Relative Elongation of Silicicated Silicon Carbide at Temperatures of 1150–2500 K

Kostanovskiy A.V., Zeodinov M.G., Kostanovskaya M.E., Pronkin A.A.

Abstract

The results of measuring the relative elongation of SiC + Si are presented. Experiments have been carried out in a stationary thermal regime with specimen heating by radiation heat flux with the external heat source. The distance between the labels in the cold and heated states was measured by computational processing of photographs. Pixels were used as unit of measure. The reference temperature is calculated as an arithmetic mean of the two real temperatures measured by the models that were taken out of the section of expansion measurement.

High Temperature. 2018;56(2):299-301
pages 299-301 views

Heat Transfer in a Water Flow in Tubes with Ribbed Twisted Tape Inserts

Giniyatullin A.A., Tarasevich S.E., Yakovlev A.B.

Abstract

The results of an experimental study of heat transfer in a water flow in a channel with a twisted tape insert with discrete ribs installed at an angle to the tape axis are presented. The experiments were performed in a straight smooth tube with an inner diameter of 10 mm. The tape inserts had a twist ratio of 2.5, 3, or 4 with a 180° rotation; the rib height ranged from 0.5 to 1.5 mm, the rib pitch was from 40 to 120 mm, and the rib angle was from 40 to 50° to the tape axis. The results of experiments in the mentioned range of geometries suggest that the ribbed tape inserts increase heat transfer by a maximum of 40% as compared with that in tubes with a twisted tape without ribs. The generalized correlation is given for the prediction of heat transfer in a Reynolds number range Re = 104‒2 × 105.

High Temperature. 2018;56(2):302-305
pages 302-305 views

Effect of Phase Transitions on the Reflection of Acoustic Waves from the Boundary of a Vapor-Gas-Liquid Mixture

Gubaidullin D.A., Fedorov Y.V.

Abstract

The problem of the oblique incidence of a low-frequency acoustic wave at the boundary of a vaporgas mixture with liquid drops or liquid with vapor-gas bubbles is considered. The dependences of the acoustic wave reflection coefficient on the initial fraction of vapor are obtained. The effect of phase transitions is studied.

High Temperature. 2018;56(2):306-308
pages 306-308 views

CFD Simulation of Twin Thermoacoustic Prime Mover for Binary Gas Mixtures

Hariharan N.M., Sivashanmugam P.

Abstract

The objective of the present simulation is to analyze the performance of a twin thermoacoustic prime mover using CFD in terms of frequency and pressure amplitude. Pure fluid media such as helium, argon, nitrogen and their binary gas mixtures are studied at a constant operating pressure of 5 bar. The GAMBIT 2.3.16 pre-processor is used for creating the geometry of twin prime mover and the CFD package FLUENT 6.3 is used for simulating the device with different combinations of gas mixtures. The geometrical parameters and temperature gradients across the stack are kept constant throughout the simulation. It is found that the pressure amplitude of the thermoacoustic oscillations is higher for pure argon, whereas the frequency of the oscillations is higher for helium (495 Hz) rather than other gases and mixtures.

High Temperature. 2018;56(2):309-311
pages 309-311 views