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Vol 56, No 3 (2018)

Heat and Mass Transfer and Physical Gasdynamics

Effect of Heat Transfer on the First and Second Law Efficiency Analysis and Optimization of an Air-standard Atkinson Cycle

Hajipour A., Rashidi M.M., Ali M.E., Freidoonimehr N., Fallahian M.

Abstract

In this paper, the first and second-law analysis for the thermodynamic air-standard Atkinson cycle with an account for heat transfer is performed using finite-time thermodynamics. In order to have more accurate evaluations, the effects of thermodynamic and design key parameters on the performance characteristics of Atkinson cycle are shown. Further, artificial neural network and imperialist competition algorithm are employed to predict and optimize the net work output value versus the minimum cycle temperature and also the compression ratio. The results obtained show that the heat loss is an effective factor of the performance of the cycle and it should be considered in the analysis and comparison of practical internal combustion engines.

High Temperature. 2018;56(3):433-438
pages 433-438 views

Solution of the Retrospective Inverse Heat Conduction Problem with Parametric Optimization

Diligenskaya A.N.

Abstract

The retrospective inverse heat conduction problem has been solved as a problem of optimal control of an object with distributed parameters. The initial ill-posed statement of the inverse problem is transformed into a conditionally well-posed one when the limitations imposed on the second derivative of the desired control, which corresponds to a reduction of the set of control actions to the class of continuous and continuously differentiable functions, are taken into account. Preliminary parameterization of the control actions makes it possible to formulate a mathematical programming problem, which can be solved based on the analytical method of minimax optimization with alternance specific features of the desired optimal temperature deviations.

High Temperature. 2018;56(3):382-388
pages 382-388 views

The Conditions for the Existence of the Optimal Thickness of a Cooled Anisotropic Wall Subjected to Local Heat Exposure

Attetkov A.V., Vlasov P.A., Volkov I.K.

Abstract

The problem of the determination of sufficient conditions for the existence of the optimal thickness of an anisotropic wall, one of whose surfaces of is exposed to axisymmetric stationary heat flux with the intensity of the Gaussian type, while the other is cooled by the external medium with a constant temperature, was formulated and solved using the two-dimensional exponential integral Fourier transform. The requirement for minimization of the temperature of the most heated point of object of study was used as an optimality criterion. The sufficient condition that was obtained is an inequality that establishes the link between the thermophysical characteristics of the anisotropic material of a wall, the intensity of heat transfer on its cooled surface, and the factor of the concentration of the outer heat flux. These results confirm the well-known effect of the “drift” of the temperature field in an anisotropic material with the common type of anisotropy of its properties.

High Temperature. 2018;56(3):389-392
pages 389-392 views

On the Wave Heat Transfer at Times Comparable with the Relaxation Time upon Intensive Convective-Conductive Heating

Formalev V.F., Kolesnik S.A., Kuznetsova E.L.

Abstract

The behavior of temperature fields in the vicinity of the boundary of a body at nanosecond durations comparable with relaxation time has been studied on the basis of an analytic solution to the problem of a hyperbolic equation for heat conductivity under the obtained conditions for convective-conductive heat transfer. The presence of first-order damped discontinuities in a temperature profile at a finite rate of the propagation of heat perturbations and convexity of the temperature profile in the vicinity of body boundary have been shown. The method of reduction of restoring relaxation time by experimental values of temperature field has been proposed.

High Temperature. 2018;56(3):393-397
pages 393-397 views

Heat Transfer in Subsonic Flows of Dissociated Nitrogen: HF Plasmatron Experiment and Numerical Simulation

Kolesnikov A.F., Gordeev A.N., Vasil’evskii S.A.

Abstract

Experiments on heat transfer in subsonic jets of dissociated nitrogen have been carried out on a IPG-4 induction plasmatron. The heat fluxes to copper, stainless steel, nickel, graphite, and quartz surfaces at the stagnation point of a water-cooled cylindrical flat-faced model 20 mm in diameter and dynamic pressures have been measured at a pressure of 50 hPa in the test chamber and a power of 35–65 kW of the HF generator. The experiments showed the influence of surface catalytic properties on the heat flux in relation to the nitrogen atom recombination. In the conditions of the experiments, a numerical simulation of nitrogen plasma flows in the discharge channel of plasmatron and the subsonic dissociated nitrogen jet flow around the cylindrical model has been carried out. The experimental and calculated data on heat fluxes to cooled copper, stainless steel, nickel, graphite, and quartz surfaces are compared. The quantitative catalyticity scale of the studied materials in relation to the heterogeneous recombination of nitrogen atoms is established.

High Temperature. 2018;56(3):398-403
pages 398-403 views

Experimental Study of Rewetting of a Superheated Plate with Structured Capillary-Porous Coating by Flowing Liquid Film

Pavlenko A.N., Tsoi A.N., Surtaev A.S., Kuznetsov D.V., Kalita V.I., Komlev D.I., Ivannikov A.Y., Radyak A.A.

Abstract

The experimental results on rewetting of the surface of a superheated vertical copper heater and a heater with a structured capillary-porous coating (applied by means of directed plasma spraying) by liquid nitrogen film are presented. It is shown that presence of the capillary-porous coating fundamentally influences the temperature variation and reduces the duration of overall plate cooling by more than three times. The high-speed videofilming of the transient processes was carried out and data on the character and structure of the rewetting front were obtained. Analysis of the synchronized measurements of the plate temperature and the high-speed video of transient processes shows that the higher cooling rate in the presence of structured capillary-porous coating is related to the development of intensive boiling in the rewetting front at sufficiently higher plate temperature.

High Temperature. 2018;56(3):404-409
pages 404-409 views

Effect of Flow Swirling on Heat Transfer in Gas-Droplet Flow Downstream of Abrupt Pipe Expansion

Pakhomov M.A., Terekhov V.I.

Abstract

The effect the flow swirl parameter on heat transfer in a gas-droplet flow is numerically modeled by the Euler approach. The gaseous phase is described by a system of 3D RANS equations with consideration of the back effect of particles on transfer processes in the carrier phase. The gaseous phase turbulence is calculated according to the Reynolds stress transport model with consideration of the dispersed phase effect on the turbulent characteristics. A rapid dispersion of droplets over the pipe cross section is observed in a nonswirling gas-droplet flow downstream of an abrupt pipe expansion. A swirling flow is characterized by a growing concentration of fine particles at the pipe axis due to the accumulation of particles in the zone of flow recirculation and to the turbophoresis force. In a swirling flow, the separated-flow region becomes significantly shorter (by almost a factor of two as compared to that in a nonswirling flow). It is shown that addition of droplets results in a significant growth of heat transfer intensity (by more than a factor of 2.5) in comparison with single-phase swirling flow.

High Temperature. 2018;56(3):410-417
pages 410-417 views

Study of Fine Drops of Water Precipitation from a Two-Phase Flow around Short Flat Profiles in Conditions of Overheated Water Injection

Alekseev V.B., Zalkind V.I., Nizovskii V.L., Nizovskii L.V., Khyamyalyainen L.T., Shchigel’ S.S.

Abstract

Experimental data on the precipitation of dispersed phase from a two-phase air flow on streamlined profiled surfaces have been obtained. The experiments included variation of the diagnostic parameters, such as the gas-dynamic attack angle of profiles; the degree of water overheating upstream of the nozzles, which determined the drop atomization dispersion; and the dispersed phase concentration. Earlier computational models were used to analyze two basic precipitation mechanisms—turbophoresis and inertial. The calculations showed good agreement with the experimental data on drop precipitation intensity and on the thickness of the water films that formed on surfaces. The paper presents recommendations for the use of these results in a complex program to calculate moist compression by gas-turbine unit compressors with an inlet injection of overheated water.

High Temperature. 2018;56(3):418-424
pages 418-424 views

Method of Measuring Thermal Relaxation in the Solid State

Kirsanov Y.A., Kirsanov A.Y., Yudakhin A.E.

Abstract

The differential equations of heat conduction of a solid body, which are a consequence of the Fourier, Cattaneo–Vernotte, and Lykov’s equations, are considered. A mathematical model of the transient, three-period process in a circular plate is constructed in the form of a solution to the hyperbolic boundary value problem of heat conduction with boundary conditions of the third kind. The method to determine the Bio numbers in each period of the transition process and the time of thermal relaxation is described by the results of experimental and theoretical studies of transient thermal processes in the center of round plates of different thicknesses made of polymethylmethacrylate upon their sudden immersion in hot water.

High Temperature. 2018;56(3):425-432
pages 425-432 views

Short Communications

Analysis of the Specific Heat of Ru Doped LiKSO4 Close to Phase Transitions

Yurtseven H., Tirpanci D.V., Karacali H.

Abstract

The temperature dependence of the specific heat, Cp, is analyzed for different percentages of ruthenium (Ru) content in LiKSO4 using a power-law formula deduced from Ising model. For this analysis, data observed are taken from the literature and the values of the critical exponent for Cp are extracted in the vicinity of the transition temperature (Tc = 708 K) within the incommensurate phase of Ru doped LiKSO4. Obtained values of the critical exponent of Cp confirm in most cases above and below Cp the critical exponent value predicted by the 3D Ising model for the doped LiKSO4. On this basis, the specific heat, Cp, of some other molecular crystals can also be analyzed using the same power-law formula as studied here.

High Temperature. 2018;56(3):462-465
pages 462-465 views

Plasma Capillary Effect

Dubinov A.E., Kozhayeva J.P., Selemir V.D.

Abstract

A new capillary effect consisting of an additional rise of liquid in the capillary upon contact of the liquid with plasma is recorded. The effect can be used, for example, for dosed liquid pumping in capillaries and porous materials.

High Temperature. 2018;56(3):451-453
pages 451-453 views

Acoustically Induced Formation of Helical Structures in a Swirling Argon Flow in the Presence of Pulse Repetitive Capacity HF Discharge

Zavershinskii I.P., Klimov A.I., Molevich N.E., Sugak S.S.

Abstract

A numerical study is made of the structure of a swirling argon flow with atmospheric pressure in a closed tube duct with an asymmetric gas outlet, a localized heat source simulating gas heating by a longitudinal pulse repetitive HF discharge, and the source of an acoustic field simulating sound generation by discharge pulses. It is shown that, at supercritical amplitudes of the acoustic field, helical gas-dynamic and thermal flows capable of inducing the formation of a discharge channel with a structure that is close to the shape of a helical flow can form. The results are shown to qualitatively agree with the known experimental data.

High Temperature. 2018;56(3):454-457
pages 454-457 views

Thermal Conductivity of CaLa2S4 within the Temperature Range of 80–450 K

Luguev S.M., Lugueva N.V., Luguev T.S.

Abstract

The results of an experimental study of the thermal conductivity of the CaLa2S4 ceramics and that of material samples obtained by melt crystallization within the temperature range of 80–450 K are presented. The approximating equations for the temperature dependences of their thermal conductivity coefficients are found. The heat transfer mechanisms in the studied materials are analyzed.

High Temperature. 2018;56(3):458-461
pages 458-461 views

Plasma Investigations

Distribution Function and Balance of the Number of Electrons in the Double Layer of an Arc Discharge in Mercury Vapor

Guseinov T.K., Dashdamirov K.M., Rasulov E.A., Safarov V.G., Sadykhzade G.M., Allakhverdiev S.A.

Abstract

An electric double layer in gas-discharge plasma in mercury vapor has been studied. The currentvoltage characteristic and electron energy distribution function are measured in anode plasma of an arc discharge in mercury vapor. The distribution function curves of thermal electrons have been obtained. The structure of the layers of space charges has been experimentally studied, and the relationship between the potential distribution and the electron energy distribution function with this structure was established. It is revealed that the potential in collisionless plasma exceeds the equivalent electron temperature by an order of magnitude.

High Temperature. 2018;56(3):313-318
pages 313-318 views

Spark Stage of Welding Arc Discharge Binding on an Aluminum Surface

Balanovskii A.E.

Abstract

The article presents a study of the spark stage of binding of the welding arc discharge on the surface of aluminum covered by oxide film. The experiments have shown the formation of cathode- and anodedirected leaders in a nonuniform field between the pin cathode (tungsten) and the plate (aluminum). It has been found that, if the cathode spot occurs against the background of uniform discharge glow, then the spark channel forms, as a rule, in two stages. At the first stage, a diffuse channel bound to the cathode spot that forms in the gap. At the second stage, a highly conductive contracted spark channel spreads from the cathode side along the diffuse channel; the brightness of that spark channel is comparable to that of the cathode plasma glow. From the color spectrum, it has been found that intensive aluminum emission takes place in the domain of binding spots already at the stage of avalanche-streamer spark formation. The estimated calculation of the heat flux rate in the binding spot of the spark discharge has shown values of 106–108 W/cm2, i.e., comparable to laser heating parameters. The spark discharge exerts a significant thermal impact consisting of melting of the surface in the spark binding zone and the development of the recrystallization process of an amorphous film matrix in the zone of thermal effect. Electron diffraction through the thin film layer in the thermal effect zone has shown clear concentric rings corresponding to the polycrystal γ-phase of Al2O3. According to transmission electron microscope data, the average size of γ-phase grains in the surface film layer after impact by the spark is d = 8–15 nm, whereas the volume of the produced γ-phase is at least 70%. The stable thermodynamic α-phase in the melting zone has been fixed. By the moment of arc discharge excitation, the entire aluminum surface in the spark-binding zone has been free of oxide film.

High Temperature. 2018;56(3):319-326
pages 319-326 views

Liquid Phase Formation on Graphite Electrode Surface in Arc Discharge

Polishchuk V.P., Samoylov I.S., Amirov R.K., Kiselev V.I.

Abstract

The graphite electrode surface is studied after impact by an electric arc burning in an argon atmosphere at a pressure of 50 kPa. The arc occurred as a result of the local destruction of a graphite rod heated by electric current and preliminarily kept for 2 × 103 s at a temperature of about 3 kK. After the arc discharge with a current of about 100 A with a duration within 1 s, we found drop-like particles, 0.1–0.3 mm in size, on the graphite electrode surface, which is evidence of the local occurrence of liquid carbon phase at a temperature of about 3.3 kK. With longer arc burning, the melting zone propagated over the entire working surface of the electrodes; the surface became smoothed.

High Temperature. 2018;56(3):327-333
pages 327-333 views

Excitation of Surface Plasma Waves in Microwave Radiation Sources by Electron Beam with Allowance for Thermal Velocity Spread

Kartashov I.N., Kuzelev M.V.

Abstract

Based on the hydrodynamic model, in the linear approximation, the problem of excitation by an electron beam of surface waves in electrodynamic systems of plasma relativistic microwave electronics has been considered with consideration of electron velocity spread. Complex instability increments have been determined for complex parameters of the beam-plasma system. Two instability regimes differing in the dynamics of beam plasma oscillations during instability development have been observed: Compton (singleparticle) and Raman (collective) instabilities. The role of thermal effects in an electron beam and its density in the formation of a particular mode of beam instability has been analyzed.

High Temperature. 2018;56(3):334-339
pages 334-339 views

Thermophysical Properties of Materials

Fluctuation Theory of Liquids

Martynov G.A.

Abstract

A fluctuation theory is proposed in which both the regular region of the phase diagram and the region in the vicinity of the critical point are described based on the same assumptions. It was shown that the critical indices could be determined more precisely within the fluctuation theory than by the scaling concept; the critical point affects almost the entire regular region of the phase diagram; the critical isotherm is a line of singular points of the statistical sum, etc. The experimental data confirm all of these predictions of the theory.

High Temperature. 2018;56(3):340-350
pages 340-350 views

Phase State of a Mixture during Recondensation in a Flat Gap Filled with Inert Gas

Brykin M.V.

Abstract

The phase state of a mixture is analyzed with respect to the temperatures of evaporation and condensation surfaces by the example of a stationary problem on carbon recondensation in a flat gap filled with inert gas. Mass and energy transfers are described by continuum equations on the assumption of local thermodynamic equilibrium. It is shown that regions with different phase states can exist in the gap; the mixture parameters may change stepwise when passing through the interfaces of these regions.

High Temperature. 2018;56(3):351-357
pages 351-357 views

Mass and Energy Flux Rates on the Surface of an Evaporating Liquid

Gerasimov D.N., Yurin E.I.

Abstract

A general particle distribution function over potential energies has been obtained. It describes well both an equilibrium system and an evaporating liquid. Near the evaporating surface itself, the distribution function is corrected to take into account the particles escape. Using the obtained distribution function over potential energies, the mass and energy fluxes on the surface of the evaporating liquid are calculated. The results of the analytical expressions are compared with numerical simulation; the coincidence is sufficiently good.

High Temperature. 2018;56(3):358-365
pages 358-365 views

Calculation of the Surface Tension of Droplets of Binary Solutions of Simple Fluids and the Determination of Their Minimum Size

Tovbin Y.K., Zaitseva E.S.

Abstract

To describe the surface tension of vapor–liquid interfaces of one- and two-component simple fluids, a molecular theory based on the lattice gas model is applied. The surface tension of mixtures of simple fluids are calculated in a quasi-chemical approximation of an accounting of the intermolecular interactions of the nearest neighbors. The model parameters previously found from experimental data on bulk surface tensions enable calculation of the surface tension of vapor–liquid interfaces of one- and two-component droplets with different sizes as the function of their radius. The minimum size of thermodynamically stable small droplets with the properties of a homogeneous phase inside is estimated.

High Temperature. 2018;56(3):366-373
pages 366-373 views

Thermophysical Properties of Boron Carbide Irradiated by Ionizing Radiation

Mirzayev M.N., Mammadov K.F., Garibov R.G., Askerov E.B.

Abstract

Differential-scanning calorimetry is used to study the thermophysical properties of boron carbide irradiated by the ionizing radiation from the 60Co source. With increased temperature, the heat capacity and entropy values of nonirradiated and irradiated B4C specimens increase. At high temperatures (723–1300 K), the character of variation of the enthalpy and the Gibbs’ potential of the irradiated B4C specimen depends on the presence of oxygen. The values of the thermodynamic functions vary due to the formation of excited atoms, active centers, defects of the B4C crystal structure, and B4C oxidation in the presence of the air oxygen after the ampoule opening. Also possible is an increase, at 723–1300 K, in the rate of oxidation of the boron carbide surface (contacting with the air oxygen), where the defects that form upon irradiation are distributed. At temperatures above 723 K, melting of the oxygenated part (B2O3) in B4C specimens irradiated by the absorbed dose of 194 Gy is observed; that process continued until the transformation of ~26% of crystal structure into the amorphous phase at 1300 K.

High Temperature. 2018;56(3):374-377
pages 374-377 views

Influence of Nitrogen High-Speed Flow Impact on the Structure and Chemical Composition of High-Temperature Coating on SiC Composite

Zhestkov B.E., Vaganova M.L., Lebedeva Y.E., Sorokin O.Y., Medvedev P.N.

Abstract

The impact of the nitrogen high-speed plasma flow on the silicon carbide composite samples (SCC) with high-temperature coating has been studied. The work was performed in a VAT-104 wind tunnel (TsAGI), making it possible to simulate the conditions of a flight in the upper atmosphere. The main parameters of plasma flows were registered, the distribution of temperatures on the surface of samples and the samples mass losses were measured. The catalytic activity of coating was determined based on the result of numerical parametric simulation of the passing flow and heat transfer of samples. Studies of the coating microstructure, X-ray diffraction structure analysis, and X-ray diffraction phase analysis of the coating were carried out.

High Temperature. 2018;56(3):378-381
pages 378-381 views

High Temperature Apparatuses and Structures

Gamma-Densitometer for Studies of High-Temperature Metal Melts

Rusanov B.A., Baglasova E.S., Popel P.S., Sidorov V.E., Sabirzyanov A.A.

Abstract

The set-up for the measurement of the density of high-temperature melts by means of penetrating gamma-radiation is described. The modern device base, which makes it possible to automatize the work, is the main difference from the earlier existing gamma-densitometers. The key characteristics of the absolute measurements with the use of very exact values of the mass attenuation coefficient for the gamma-quanta beam are described and the accuracy of measurements is estimated. The results of the density measurement of the molten aluminum, cadmium, tin, and bismuth are presented; they confirm the a priori estimate of the error.

High Temperature. 2018;56(3):439-443
pages 439-443 views

New Energetics

Comparative Analysis of the Efficiency of Alternative Electric and Thermal Technologies of Natural Gas Energy Production

Maslennikov V.M., Batenin V.M., Shterenberg V.Y.

Abstract

This article presents a comparative analysis of the efficiency of six conventional energy technologies for the production of electrical and thermal energy and three original alternative technologies developed at the Joint Institute for High Temperatures, Russian Academy of Sciences, that have been proposed for implementation. The thermal efficiency of all the of the considered options for the ratio of electric and thermal energy production typical of Russia’s average climatic conditions is compared with a unified methodology. The efficiency values of electric power generation based on heat consumption is compared for all the options. It is demonstrated that, when domestic gas turbine units are used, the efficiency of the electric energy generation of the developed technologies can significantly exceed that in the best existing energy technologies with the use of promising, imported, high-power gas turbines. These advantages can be attained not only by increasing the parameters of the working fluid but also by optimizing the structure of the thermodynamic cycle of the energy technology.

High Temperature. 2018;56(3):444-450
pages 444-450 views