


卷 61, 编号 5 (2023)
Articles
Физика плазмы на страницах журнала “Теплофизика высоких температур”. К 60-летию журнала



Исследование плазмы
Diffusion of Collisional Plasma by the Example of a High-Current Arc in He: Binary and Trinary Ionized Mixtures
摘要
In this study the applicability of the binary mixture model utilizing the first-order gas-kinetic Chapman–Enskog theory is substantiated for describing diffusion processes at different degrees of ionization of a single-temperature simple gas plasma consisting of three components: atoms, ions and electrons. On the same bases, the obtained expressions for a trinary mixture are applicable to a plasma with a fourth component that is difficult to ionize. The thermal diffusion relations of a trinary mixture are derived, whose peculiarity is the electronic component, which does not affect the diffusion flows of atoms and ions. It is shown that in a highly ionized He arc plasma with developed diffusion and ionization nonequilibrium, thermal diffusion is insignificant. It is noted that when thermodynamic equilibrium is violated, the diffusion coefficients may not change at all or decrease by half at most.



The Problem of the Equation of State of Refractory Metals in the Near-Critical Region
摘要
A simple physical model of atomic plasma is proposed, which makes it possible to calculate the equation of state of refractory metals in the near-critical region and obtain the parameters of the critical point of the vapor–liquid phase transition, including the binodal. A special feature of the model is that it takes into account interatomic interaction using cohesion—the collective energy of the cohesion of atoms in a metal. Estimates of the critical point parameters for many refractory metals, including the conductivity at the critical point, are obtained.



Thermophysical Properties of Materials
Extrapolation of Liquid Sodium Properties to the Region of High Temperatures and Overheating
摘要
This paper studies the development of approaches to expand the method for calculating the properties of liquid sodium in the region of overheating and at high temperatures. The expansion is carried out using the hypothesis of the linearity of isochores and interpolation of the properties of sodium on the saturation line using the theory of critical exponents. Using modified techniques, the position of the spinodal is calculated and an expression is given to estimate its position. A comparison is made with the available published data. Satisfactory agreement is obtained.



Heat Capacity and Thermodynamic Functions of the Aluminum Alloy AlCu4.5Mg1 Alloyed with Barium
摘要
The results of the experimental determination of the heat capacity of the aluminum alloy AlCu4.5Mg1 alloyed with barium and the calculation of the temperature dependences of changes in the thermodynamic functions of this alloy are presented. Studies of the temperature dependence of the heat capacity of the AlCu4.5Mg1 alloy alloyed with barium are carried out in the cooling mode using a computer and the Sigma Plot 10.0 software. The types of polynomials of the temperature dependence of the heat capacity and changes in thermodynamic functions (enthalpy, entropy, and Gibbs energy) of the studied alloy and the standard (Al grade A5N), which describe these changes with the correlation coefficient Rcor = 0.999, are established. It is shown that with the increasing barium content, the heat capacity of the original alloy decreases. The enthalpy and entropy of the AlCu4.5Mg1 alloy alloyed with barium increase with increasing temperature, and decrease with the increasing barium content. The Gibbs energy values have an inverse relationship.



Calculation of Heat Capacity and Coefficients of Linear Thermal Expansion of Light and Heavy Platinum Triad Metals
摘要
The relations of the model of a two-phase local equilibrium region are used to calculate the temperature dependences of the heat capacities and coefficients of thermal linear expansion of the palladium triad (Ru, Rh, Pd) and platinum triad (Os, Ir, Pt) in the presence (absence) of an aggregate transition in the studied temperature range. In contrast to the approximation functions used in the scientific literature in individual temperature intervals (using, in particular, the Einstein function), the proposed formulas are simple, universal, and adequately describe the experimental data in the temperature range from 0 K to high temperatures. They can be used to create computer programs for calculating the specified characteristics of various solids, for example, when developing technologies for the rational use of noble metals.



Electrical Resistance of Liquid Carbon (up to 9000 K) and Liquid Gadolinium (up to 6000 K) at Elevated Pressure and High Temperatures
摘要
Experiments are carried out on rapid heating by an electric current pulse of plates for anisotropic graphite and gadolinium foil clamped in the same way: between two thick-walled plates of TF-5 glass (heavy flint). In both cases, the glass cells were previously compressed with a clamp to create some initial pressure. During the passage of the current pulse (5 μs), the pressure in the samples is estimated; it increases due to thermal expansion when confined by the glass plates. The electrical resistance of liquid carbon at low pressures (up to 1 kbar) increases with increasing temperature, just as for most conductors. Under limited expansion (increasing pressure), the electrical resistance of liquid carbon becomes constant, independent of the increase in temperature and pressure (up to 9000 K). Unlike carbon, the electrical resistance of liquid gadolinium at elevated pressure (about 1 kbar) practically did not change (~260 µm cm) and remained approximately constant, as at lower pressures (~0.3 kbar); and at high temperatures, up to 6000 K.



On the Influence of Pressure and Porosity on the Parameters of the Equation of State of a Porous Substance
摘要
The influence of porosity and pressure on the parameters of the equation of state of a porous material is studied. The model takes into account the presence of gas in the pores. The equations of state of the mixture and its components, both solid and gaseous, are presented uniformly (in the form of the Mie–Grüneisen equation with the Grüneisen coefficient depending on density). To describe the Grüneisen coefficient, a logarithmic dependence on density is used. Numerical calculations of shock-wave loading and isentropic unloading of copper samples of various porosities are carried out. It is shown that the parameters of the equation of state obtained under normal conditions adequately describe the behavior of the substance both under loading and unloading.



Size Dependences of the Thermal Physical Properties of Nanoparticles: Entropy and Heat of Melting
摘要
In the thermodynamic theory of phase equilibria in disperse systems, the size dependences of jumps in entropy and the heat of fusion of particles (including those in the nanometer range) are obtained with strict and consistent consideration of surface phenomena in the approach with separating surfaces. The consideration is carried out taking into account the dimensional dependences of the molar volume, melting temperature, and interfacial tension. Using the obtained relations, calculations were performed for spherical sodium and tin nanoparticles. This implies a decrease in the entropy and heat of fusion with decreasing nanoparticle size. The results are in close agreement with the experimental and calculated data available in the literature.



Research of the Thermophysical Properties of CFRP with Different Reinforcements by Methods of a Stationary Heat Flow and Differential Scanning Calorimeter with Temperature Modulation
摘要
The paper studies the thermal conductivity and specific heat capacity of carbon fiber reinforced plastic (CFRP) with various reinforcements using the methods of a stationary heat flow (SHF) and differential scanning calorimetry with temperature modulation. The values of the thermal conductivity and heat capacity, as well as their dependence on temperature, are established in the temperature range from –20 to 100°C. The changes in the thermal conductivity range from 0.400 to 0.515 W/(m K); and the specific heat capacity coefficient, from 923 to 984 J/(kg K). The results obtained can be used to calculate and design systems and installations using PCMs as structural materials and to calculate the parameters of the technological process for the production of these materials.



Heat and Mass Transfer and Physical Gasdynamics
Thermal State of a Region with a Thermally Insulated Moving Boundary
摘要
Mathematical model representations of the temperature effect in regions with a thermally insulated moving boundary are developed. The boundary conditions for thermal insulation of a moving boundary are formulated both for locally equilibrium heat transfer processes within the classical Fourier phenomenology and for more complex locally nonequilibrium processes within the Maxwell–Cattaneo–Lykov–Vernott phenomenology, taking into account the finite speed of heat propagation. The applied problem of heat conductance and the theory of thermal shock for a region with a moving thermally insulated boundary, free from external and internal influences, is considered. An exact analytical solution of the formulated mathematical models for equations of the hyperbolic type is obtained. Methods and theorems of operational calculus and Riemann–Mellin contour integrals are used to calculate the originals of complex images with two branch points. A mathematical apparatus for the equivalence of functional structures for the originals of the obtained operational solutions is proposed. It is shown that the presence of a thermally insulated moving boundary leads to the appearance of a temperature gradient in the region and, consequently, to the appearance in the region of a temperature field and corresponding thermoelastic stresses of a wave nature. A numerical experiment is presented and the possibility of transition from one form of analytical solution of the temperature problem to another equivalent form is shown. The described effect manifests itself both for equations of the parabolic type based on classical Fourier phenomenology and for equations of hyperbolic type based on the generalized phenomenology of Maxwell–Cattaneo–Lykov–Vernott.



Laminar Pulsating Flow at the Initial Segment of a Flat Channel
摘要
A method is proposed for solving the problem of a pulsating quasistationary flow in a channel, based on the use of calculation results for stationary flow. This approach is applicable at low relative oscillation frequencies (for Womersley numbers less than one). The solution to the system of stationary equations of motion and continuity in the initial section of a flat channel was carried out by the finite difference method using an iterative implicit unconditionally stable scheme. The hydrodynamic characteristics of a developing pulsating laminar flow in a flat channel have been studied. The results of calculating the longitudinal velocity component and the Poiseuille and Euler numbers are presented as a function of the relative amplitude of the oscillation of the cross-sectional average velocity A and dimensionless length of the channel. It was found that for A values exceeding unity, the period-averaged coefficients of hydraulic resistance and friction resistance near the inlet to the channel are significantly higher than these values for a stationary flow. It has been shown that in order to achieve a pulsating flow with large amplitudes of oscillations, it is necessary to create a time-average pressure drop approximately three times higher (at A = 5) than for a stationary flow.



Study of Drop-Stream Condensation by the Gradient Heatmetry
摘要
The capabilities of flow visualization and gradient heatmetry are combined for the first time in studying heat transfer during condensation. The local heat flux per unit area during drop-stream condensation of water steam on the surface of a vertical plate was measured. In the drop-stream condensation mode, the average value of a significantly unsteady heat flux was about 31.2 kW/m2. The heat flux unsteady shows a complex physical picture of condensation. The results of the experiment revealed the possibility of using gradient heatmetry as a method for monitoring heat transfer during condensation.



System of Model Kinetic Equations for a Multicomponent Gas
摘要
A mathematical model of a multicomponent gas flow based on a model kinetic equation is presented. Flows of multicomponent monatomic perfect gases are considered. The model is tested using the example of the problem of the shock wave profile for a mixture of argon and helium in various proportions. It is shown that the model provides satisfactory agreement with the experimental data.



Dynamics of Bubbles in a Spherical Cluster under Increasing Liquid Pressure
摘要
The response of gas (air) bubbles in a spherical cluster to an increase in the pressure of the surrounding liquid (water) is considered. Consideration is carried out only until a bubble in the cluster disintegrates or collides with another bubble. The influence of the amplitude of the increase in the liquid pressure, as well as the position of the bubbles in the cluster and the interaction between the bubbles, is studied. The centers of the cluster bubbles are located at the nodes of a cubic grid, one of which is in the center of the cluster. The effect of the interaction of bubbles is assessed by comparison with the response of a single bubble. The cluster consists of 123 bubbles, the liquid pressure is 1 bar. Initially, the bubbles are spherical with a radius of 0.1 mm, the cluster radius is about 3 mm. A discrete model is used, in which, together with the radial oscilations of bubbles, their movements in the liquid and their small deformations are also modeled. It is established that the maximum pressure in the bubbles, reached before the destruction or collision of any of them, is realized when the liquid pressure increases by 10 bar and turns out to be approximately 6500 times greater than their initial pressure and approximately 30 times greater than the response of a single bubble.



Numerical Simulation of the Interaction of a Mach Wave and a Boundary Layer on a Flat Plate
摘要
Using direct numerical simulation, a problem of the interaction of a Mach wave with a boundary layer on a flat plate, streamlined by a supersonic perfect gas flow at the Mach number M = 2.5 is considered. The influence of the intensity of the incident Mach wave on the laminar-turbulent transition (LTT) is studied. It is shown that the incidence of a Mach wave with an amplitude of 5%, simulating the relative thickness of the roughness on the side wall of the wind tunnel, on the boundary layer leads to the formation of a turbulent wedge in the boundary layer on a flat plate.



Features of the Reflection of Pulse Signals from a Layer with Vapor-Gas Bubbles in Front of a Rigid Wall in Water
摘要
The paper presents the results of a study of the evolution of a wave signal when reflected from a rigid wall with a vapor-gas bubble “curtain” located in front of it in a liquid, which takes into account the heat and mass transfer on the interphase surface in the acoustic approximation. Based on the numerical calculations, using the fast Fourier transform method, wave patterns for the evolution of pressure pulses are obtained and the influence of various parameters of the state of a liquid with vapor-gas bubbles on the reflection and passage of acoustic waves through the curtain in front of the solid wall is analyzed.



Influence of Chemical Reactions in a Boundary Layer on the Overall Heat-and-Mass Transfer Coefficient
摘要
A method to analyze the influence of chemical reactions on heat-and-mass transfer in a reactive boundary layer has been suggested, and the influence of thermal effects on the overall heat-and-mass transfer coefficient has been estimated. It has been found that endothermal reactions in the boundary layer have a considerable effect on the overall heat-and-mass transfer coefficient. Taking into account the influence of thermal effects due to homogeneous reactions inside the boundary layer on convective thermal flux
is equivalent to taking into account the heat of these reactions on the surface of a heat protection coating, that is, on the surface of a coked layer.



New energy and modern technologies
Characteristics of a Solid Oxide Fuel Cell for the Thermodynamic Modeling of Power Plants
摘要
The thermodynamic characteristics of the electrochemical process in a solid oxide fuel cell (SOFC) are determined using a physical model that takes into account the internal reforming of methane. These characteristics can be a useful tool for studying the thermodynamic cycles of power plants without calculating the physical processes in the fuel cell. The initial data when using them are the load factor and the specific surface resistance of the membrane-electrode assembly.



Short Communications
Equation of State of Zirconium at High Pressures
摘要
This paper describes the thermodynamic properties of zirconium in a high-pressure region. The available experimental data on isothermal and shock compression of this metal are summarized in the form of a simple model that specifies a pressure function of the specific volume and specific internal energy. The results of calculations of the thermodynamic characteristics of the body-centered cubic crystalline phase and zirconium melt are presented in comparison with the available experimental data in the studied range of thermodynamic parameters. The resulting equation of state can be used in the numerical modeling of adiabatic processes at high energy concentrations.



Wetting of Solid Refractory Metals by Liquid Oxides and Calculation of Their Interfacial Characteristics
摘要
Using experimental data available in the literature on the contact angles of some refractory metals with oxide melts, calculations of their interfacial values at certain temperatures were performed. Because the surface energies of solid metals are measured at temperatures different from their melting points, these values are reduced to the temperatures of contact angle measurements so that Young’s equations can be applied.



Shock Compression of Molybdenum under Impact of Ultrashort Laser Pulses
摘要
The behavior of molybdenum under the action of load pulses of picosecond duration is studied in an experiment. Using the method of spectral interferometry in the single-exposure mode in the picosecond range, changes in the phase and amplitude of the diagnostic pulse reflected from the free surface of the sample are recorded. In a film sample of molybdenum of submicron thickness, compressive stresses reaching 89 GPa are realized and are accompanied by a significant increase in the surface reflectance.



Natural Thermogravitational Convection in a Partially Blocked Square Area Heated from Below: Local and Medium Heat Transfer
摘要
Natural Thermogravitational Convection in a Partially Blocked Square Area Heated from Below: Local and Medium Heat Transfer



Laboratory Studies on the Separation of Various Oil–Water Emulsions in a High-Frequency Electromagnetic Field
摘要
The separation of water–oil emulsions differing in the content and ratio of asphalt-resinous substances, as well as dielectric properties when exposed to a high-frequency (HF) electromagnetic field is investigated. The results of experimental studies are presented, showing the correlation between the degree of phase separation from dielectric parameters and the ratio of asphaltenes and resins in oils. It is shown that when water–oil emulsions are exposed to an HF electromagnetic field, the degree of heating and the efficiency of phase separation of the emulsion depend on the total content of asphaltenes and resins, their ratio, and whether the operating frequency of the generator falls within the region of resonant frequencies of the emulsions.


