Pub Date : 2024-02-29DOI: 10.1134/s0018151x23010030
I. V. Derevich, A. K. Klochkov
Abstract
A model is proposed for the thermal explosion of a single particle with an exothermic chemical reaction in a turbulent temperature field of the medium. The chemical reaction rate is represented by a modified Arrhenius law, which takes into account changes in the internal structure of the particle material. Temperature fluctuations are modeled by a Gaussian random process. The study was carried out using the Lagrange and Euler approaches. In the Lagrange approach, in which a system of stochastic ordinary differential equations is solved, random temperature fluctuations of the medium and particle ensemble are calculated. Based on the results of numerical simulation of the ensemble, the dynamics of the empirical probability density function of the random particle temperature distribution is simulated. In the Euler approach, a nonstationary closed-loop equation is derived for the probability density function of random particle temperatures, which is numerically integrated using an original conservative difference scheme. The calculation results for both approaches agree satisfactorily with each other. It is shown that a random temperature field of the medium qualitatively changes the dynamics of occurrence of a thermal explosion. In a random temperature field, a thermal explosion can occur provided that in a deterministic case, the system is absolutely stable.
{"title":"Thermal Explosion of Single Particles in a Random Medium-Temperature Field","authors":"I. V. Derevich, A. K. Klochkov","doi":"10.1134/s0018151x23010030","DOIUrl":"https://doi.org/10.1134/s0018151x23010030","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A model is proposed for the thermal explosion of a single particle with an exothermic chemical reaction in a turbulent temperature field of the medium. The chemical reaction rate is represented by a modified Arrhenius law, which takes into account changes in the internal structure of the particle material. Temperature fluctuations are modeled by a Gaussian random process. The study was carried out using the Lagrange and Euler approaches. In the Lagrange approach, in which a system of stochastic ordinary differential equations is solved, random temperature fluctuations of the medium and particle ensemble are calculated. Based on the results of numerical simulation of the ensemble, the dynamics of the empirical probability density function of the random particle temperature distribution is simulated. In the Euler approach, a nonstationary closed-loop equation is derived for the probability density function of random particle temperatures, which is numerically integrated using an original conservative difference scheme. The calculation results for both approaches agree satisfactorily with each other. It is shown that a random temperature field of the medium qualitatively changes the dynamics of occurrence of a thermal explosion. In a random temperature field, a thermal explosion can occur provided that in a deterministic case, the system is absolutely stable.</p>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"9 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Erratum to: Femtosecond Laser Assisted Hatching: Dependence of Zona Pellucida Drilling Efficiency and Embryo Development on Laser Wavelength and Pulse Energy","authors":"I. V. Ilina, Yu. V. Khramova, M. A. Filatov, M. L. Semenova, D. S. Sitnikov","doi":"10.1134/s0018151x23010248","DOIUrl":"https://doi.org/10.1134/s0018151x23010248","url":null,"abstract":"<p>An Erratum to this paper has been published: https://doi.org/10.1134/S0018151X23010248</p>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"114 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-29DOI: 10.1134/s0018151x23010054
I. A. Znamenskaya, E. Yu. Koroteeva, E. A. Karnozova, T. A. Kuli-Zade
Abstract
The dynamics of thermal fields of dielectric surfaces heated as a result of initiation of a pulsed high-current surface discharge (plasma sheet) was studied. A pulsed surface discharge sliding along the surface of a dielectric was generated on the upper (flat) and lower (with a ledge) walls of the discharge chamber with quartz windows. Sequential images of optical (nanosecond range) and infrared (millisecond range) radiation were obtained near a dielectric ledge in the shape of a rectangular parallelepiped with a size of 6 × 2 × 48 mm3. The time evolution of thermal radiation from surfaces was recorded with time-lapse photography in the infrared range at pressures from 65 to 290 Torr. It is shown that the cooling time of a plasma-heated region localized near the dielectric ledge can last up to 30 ms and significantly exceeds the cooling time of a flat upper wall heated by a discharge fairly uniformly distributed over the surface of the dielectric.
{"title":"Dynamics of Heat Fluxes in a Channel Area Heated by a Pulsed High-Current Discharge","authors":"I. A. Znamenskaya, E. Yu. Koroteeva, E. A. Karnozova, T. A. Kuli-Zade","doi":"10.1134/s0018151x23010054","DOIUrl":"https://doi.org/10.1134/s0018151x23010054","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The dynamics of thermal fields of dielectric surfaces heated as a result of initiation of a pulsed high-current surface discharge (plasma sheet) was studied. A pulsed surface discharge sliding along the surface of a dielectric was generated on the upper (flat) and lower (with a ledge) walls of the discharge chamber with quartz windows. Sequential images of optical (nanosecond range) and infrared (millisecond range) radiation were obtained near a dielectric ledge in the shape of a rectangular parallelepiped with a size of 6 × 2 × 48 mm<sup>3</sup>. The time evolution of thermal radiation from surfaces was recorded with time-lapse photography in the infrared range at pressures from 65 to 290 Torr. It is shown that the cooling time of a plasma-heated region localized near the dielectric ledge can last up to 30 ms and significantly exceeds the cooling time of a flat upper wall heated by a discharge fairly uniformly distributed over the surface of the dielectric.</p>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"26 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-29DOI: 10.1134/s0018151x23010017
I. I. Zadiriev, G. V. Shvydkii, K. V. Vavilin, E. A. Kralkina, A. M. Nikonov
Abstract
The parameters of a radio-frequency capacitive discharge confined in a closed electron drift accelerator with an extended acceleration zone have been studied for different discharge circuits, namely, with dc-closed and dc-open electrodes and with additional dc biasing of the active electrode. In the open circuit, the plasma concentration is minimal and the ion energy in the jet at the exit from the prototype is about 25 eV. The dc closing of the active electrode increases both the plasma density and the ion energy to 250 eV. A further increase or decrease in these parameters is possible by applying a positive or negative dc bias, respectively, to the active electrode.
{"title":"Dependence of Parameters of a Radio-Frequency Closed Electron Drift Accelerator on the Radio-Frequency Capacitive Discharge Circuit","authors":"I. I. Zadiriev, G. V. Shvydkii, K. V. Vavilin, E. A. Kralkina, A. M. Nikonov","doi":"10.1134/s0018151x23010017","DOIUrl":"https://doi.org/10.1134/s0018151x23010017","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The parameters of a radio-frequency capacitive discharge confined in a closed electron drift accelerator with an extended acceleration zone have been studied for different discharge circuits, namely, with dc-closed and dc-open electrodes and with additional dc biasing of the active electrode. In the open circuit, the plasma concentration is minimal and the ion energy in the jet at the exit from the prototype is about 25 eV. The dc closing of the active electrode increases both the plasma density and the ion energy to 250 eV. A further increase or decrease in these parameters is possible by applying a positive or negative dc bias, respectively, to the active electrode.</p>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"43 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-02-29DOI: 10.1134/s0018151x23010133
A. A. Aganin, I. A. Aganin, A. I. Davletshin, R. I. Nigmatulin
Abstract
The paper studies the response of gas (air) bubbles in a spherical cluster to a single pulsed cosine-shaped decrease and subsequent recovery of the pressure of the surrounding liquid (water–glycerin mixture) with a pulse duration in the vicinity of the period of natural oscillations of the cluster. It is assumed that, during the response, all bubbles remain weakly nonspherical. The effect of the duration and amplitude of the excitation pulse, the position of bubbles in the cluster, the distance between bubbles, and the number of bubbles in the cluster is studied. Cubic clusters in which the centers of the bubbles are located at the nodes of a cubic grid, as well as clusters with a random arrangement of bubbles and with bubbles located at the center and vertices of a number of regular polyhedra nested in each other are considered. To estimate the effect of the interaction between bubbles, comparison with the response of a single bubble is made. One of the variants of discrete models of the dynamics of bubbles in a cluster is used, in which, along with radial oscillations, their spatial displacements and small nonspherical deformations are simulated. It has been established that, if the nonspherical deformations of the bubbles during the response are small, the maximum increase in pressure in the bubbles relative to its initial value is at most several-fold. If this assumption is ignored, significantly higher degrees of bubble compression can be obtained. The reason is that, when the condition of smallness of deformations is violated, the ranges of the parameters under consideration expand significantly.
{"title":"Response of Gas Bubbles in Spherical Clusters to a Single Underpressure Pulse","authors":"A. A. Aganin, I. A. Aganin, A. I. Davletshin, R. I. Nigmatulin","doi":"10.1134/s0018151x23010133","DOIUrl":"https://doi.org/10.1134/s0018151x23010133","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The paper studies the response of gas (air) bubbles in a spherical cluster to a single pulsed cosine-shaped decrease and subsequent recovery of the pressure of the surrounding liquid (water–glycerin mixture) with a pulse duration in the vicinity of the period of natural oscillations of the cluster. It is assumed that, during the response, all bubbles remain weakly nonspherical. The effect of the duration and amplitude of the excitation pulse, the position of bubbles in the cluster, the distance between bubbles, and the number of bubbles in the cluster is studied. Cubic clusters in which the centers of the bubbles are located at the nodes of a cubic grid, as well as clusters with a random arrangement of bubbles and with bubbles located at the center and vertices of a number of regular polyhedra nested in each other are considered. To estimate the effect of the interaction between bubbles, comparison with the response of a single bubble is made. One of the variants of discrete models of the dynamics of bubbles in a cluster is used, in which, along with radial oscillations, their spatial displacements and small nonspherical deformations are simulated. It has been established that, if the nonspherical deformations of the bubbles during the response are small, the maximum increase in pressure in the bubbles relative to its initial value is at most several-fold. If this assumption is ignored, significantly higher degrees of bubble compression can be obtained. The reason is that, when the condition of smallness of deformations is violated, the ranges of the parameters under consideration expand significantly.</p>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"4 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140005276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.1134/s0018151x2303001x
Abstract
Equations of state for sapphire, silica, periclase, and rutile have been developed, which are applicable in a wide range of pressures and densities. The results of a comparison with available data obtained at high pressures in shock-wave experiments for crystalline and porous samples are presented.
{"title":"Equations of State for Sapphire, Silica, Periclase, and Rutile","authors":"","doi":"10.1134/s0018151x2303001x","DOIUrl":"https://doi.org/10.1134/s0018151x2303001x","url":null,"abstract":"<span> <h3>Abstract</h3> <p>Equations of state for sapphire, silica, periclase, and rutile have been developed, which are applicable in a wide range of pressures and densities. The results of a comparison with available data obtained at high pressures in shock-wave experiments for crystalline and porous samples are presented.</p> </span>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"44 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140124750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.1134/s0018151x23030203
Abstract
The heat and mass transfer between the dissociating boundary layer and the surface of blunt nose cones of high-speed aircraft in a wide range of Mach numbers is considered. Using Dorodnitsyn–Liz variables, the system of boundary layer equations is reduced to a system of nonlinear ordinary differential equations. Using reasonable assumptions, approximate analytical solutions were obtained for dynamic, thermal, and diffusion boundary layers, which made it possible to determine thermal and diffusion heat fluxes, which at the gas–solid boundary are coupled with the equation of heat conduction in the body with the coupling parameter being the temperature of the gas–solid boundary. From the found heat fluxes, the temperature fields in the body were determined in a wide range of free-stream Mach numbers and the catalytic recombination coefficient. The resulting heat fluxes on the frontal part of the nose cone exactly coincide with the experimental data.
{"title":"Simulation of Heat and Mass Transfer on Blunt Bodies under Aerodynamic Heating of High-Speed Aircraft","authors":"","doi":"10.1134/s0018151x23030203","DOIUrl":"https://doi.org/10.1134/s0018151x23030203","url":null,"abstract":"<span> <h3>Abstract</h3> <p>The heat and mass transfer between the dissociating boundary layer and the surface of blunt nose cones of high-speed aircraft in a wide range of Mach numbers is considered. Using Dorodnitsyn–Liz variables, the system of boundary layer equations is reduced to a system of nonlinear ordinary differential equations. Using reasonable assumptions, approximate analytical solutions were obtained for dynamic, thermal, and diffusion boundary layers, which made it possible to determine thermal and diffusion heat fluxes, which at the gas–solid boundary are coupled with the equation of heat conduction in the body with the coupling parameter being the temperature of the gas–solid boundary. From the found heat fluxes, the temperature fields in the body were determined in a wide range of free-stream Mach numbers and the catalytic recombination coefficient. The resulting heat fluxes on the frontal part of the nose cone exactly coincide with the experimental data.</p> </span>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"20 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140124739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.1134/s0018151x23030124
Abstract
In this study, the heat capacity of the aluminum conducting alloy AlTi0.1 (Al + 0.1 wt % of Ti) with strontium in the cooling mode is determined using the known heat capacity of a standard sample of A5N grade high-purity aluminum (99.999% of Al). Equations were obtained to describe the cooling rates of samples of the AlTi0.1 alloy with strontium and the standard. Based on the calculated cooling rates of the samples, equations for the temperature dependence of the heat capacities of the alloys and the standard were formed. By integrating the specific heat, the temperature dependences of changes in enthalpy, entropy, and the Gibbs energy of the alloy under study were calculated. The heat capacity, enthalpy, and entropy of AlTi0.1 decrease with increasing strontium concentration and increase with temperature; the value of the Gibbs energy has an inverse relationship.
{"title":"Temperature Dependences of the Heat Capacity and Thermodynamic Functions of Aluminum Conducting Alloy AlTi0.1 with Strontium","authors":"","doi":"10.1134/s0018151x23030124","DOIUrl":"https://doi.org/10.1134/s0018151x23030124","url":null,"abstract":"<span> <h3>Abstract</h3> <p>In this study, the heat capacity of the aluminum conducting alloy AlTi0.1 (Al + 0.1 wt % of Ti) with strontium in the cooling mode is determined using the known heat capacity of a standard sample of A5N grade high-purity aluminum (99.999% of Al). Equations were obtained to describe the cooling rates of samples of the AlTi0.1 alloy with strontium and the standard. Based on the calculated cooling rates of the samples, equations for the temperature dependence of the heat capacities of the alloys and the standard were formed. By integrating the specific heat, the temperature dependences of changes in enthalpy, entropy, and the Gibbs energy of the alloy under study were calculated. The heat capacity, enthalpy, and entropy of AlTi0.1 decrease with increasing strontium concentration and increase with temperature; the value of the Gibbs energy has an inverse relationship.</p> </span>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"36 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140129758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.1134/s0018151x23030021
Abstract
A closed interpolation equation is derived based on exact relations of quantum statistical theory for Coulomb systems and the Born–Oppenheimer approximation. This equation relates pressure and its derivative to density at a fixed temperature for a simple quasi-classical liquid, in which the effective pair potential of particle–particle interaction has a Fourier transform.
{"title":"On the Closed Interpolation Equation of State for a Simple Liquid","authors":"","doi":"10.1134/s0018151x23030021","DOIUrl":"https://doi.org/10.1134/s0018151x23030021","url":null,"abstract":"<span> <h3>Abstract</h3> <p>A closed interpolation equation is derived based on exact relations of quantum statistical theory for Coulomb systems and the Born–Oppenheimer approximation. This equation relates pressure and its derivative to density at a fixed temperature for a simple quasi-classical liquid, in which the effective pair potential of particle–particle interaction has a Fourier transform.</p> </span>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"20 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140124628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-06-01DOI: 10.1134/s0018151x23030033
Abstract
The paper describes an experimental attempt to affect the flow of liquid metal using a relatively small perturbation at an inlet to a long channel. The purpose is to form a flow structure which is stable in a strong magnetic field at high heat loads, enhance heat transfer, and achieve more predictable flow parameters. It is demonstrated that an obstacle in the form of a rod located transverse to the flow and parallel to the applied magnetic field and installed at the inlet can induce perturbations in the form of regular vortices observed along the flow at lengths as great as several tens of channel hydraulic diameters. The experiments confirm that thus generated vortices considerably change the structure of the isothermal MHD flow. In the case of mixed convection, such vortices suppress the development large-scale thermogravitational fluctuations in the flow and enhance heat transfer under certain flow conditions.
{"title":"Formation of the Inlet Flow Profile for Passive Control of a Magnetohydrodynamic Liquid-Metal Flow in a Channel","authors":"","doi":"10.1134/s0018151x23030033","DOIUrl":"https://doi.org/10.1134/s0018151x23030033","url":null,"abstract":"<span> <h3>Abstract</h3> <p>The paper describes an experimental attempt to affect the flow of liquid metal using a relatively small perturbation at an inlet to a long channel. The purpose is to form a flow structure which is stable in a strong magnetic field at high heat loads, enhance heat transfer, and achieve more predictable flow parameters. It is demonstrated that an obstacle in the form of a rod located transverse to the flow and parallel to the applied magnetic field and installed at the inlet can induce perturbations in the form of regular vortices observed along the flow at lengths as great as several tens of channel hydraulic diameters. The experiments confirm that thus generated vortices considerably change the structure of the isothermal MHD flow. In the case of mixed convection, such vortices suppress the development large-scale thermogravitational fluctuations in the flow and enhance heat transfer under certain flow conditions.</p> </span>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"41 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140124738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}