{"title":"Navier–Stokes and Darcy–Brinkmann Models for Synthesis of Micron Particles of Magnesium–Zinc Ferrite","authors":"A. A. Markov","doi":"10.1134/S0040579525600676","DOIUrl":"10.1134/S0040579525600676","url":null,"abstract":"<p>The processes of heat and mass transfer in a direct-flow reactor during the synthesis of micron particles of magnesium–zinc ferrite (MCF) are numerically investigated. A new formulation of the problem of synthesis of MCF by the method of carbon combustion is proposed, taking into account the variability of the permeability and porosity of the mixture of the reactant and product particles. The results of calculations using the Navier–Stokes equations with distributed resistance to gas movement in the pores (NS model) and the Darcy–Brinkman equations (DB model) with the same initial parameters are compared. The differences in the calculations of the indicated models for low and high permeability of a mixture of micron-sized reagent particles are discussed. The modes for which both models give similar results and the modes of significant differences in combustion and synthesis rates, caused by the convective mechanism of heat and momentum transfer in the case of variable porosity, are noted. It is shown that more intense heat transfer in the NS model accelerates the growth of the specific volume of the solid phase due to thermal expansion. The calculation results indicate the importance of non-stationary processes of gas momentum transfer in the pores of a flow reactor and confirm the advantages of the NS model in studying the synthesis of micron particles of complex oxides by the carbon combustion method. The studies were conducted for fast-flowing processes and were limited by the synthesis time interval, which was limited by the initial concentrations of the reagents.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 5","pages":"1594 - 1609"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Droplet Dynamics in the Rotating Layer of a Separator with a Tangent Swirler","authors":"V. V. Kharkov, O. S. Dmitrieva, A. N. Nikolaev","doi":"10.1134/S0040579525601153","DOIUrl":"10.1134/S0040579525601153","url":null,"abstract":"<p>The intensification of heat and mass transfer is associated with the swirling of the flow using swirlers and the influence of separation layers near it; therefore, the strong dependence of the intensification process on the peculiarities of the movement of droplets in a rotating layer inside the device is obvious. The efficiency of the two-phase flow separation process is determined by the design of the separator used, as well as the fluid dynamics of the interacting flows; therefore, there is a need for a deeper understanding of the physical mechanisms developing in such complex flow fields. The design and principle of operation of a separation device with a tangent swirler are considered. To determine the main parameters of the layer, a computation of the movement of liquid droplets separated from the blades of the swirler is performed. The analysis of the forces acting on the droplet is carried out. The results of a calculation of the trajectories of droplets based on the inlet velocity of the gas and their diameter are presented. The total residence time of the droplet in the contact zone with the swirler blades is very significant and, by an order of magnitude, exceeds the separation time of a drop of sprayed liquid of equal diameter. The dependences determining the time of the droplet flight, the departure of the droplet into the separation zone, the height of the droplet separation, the number of interactions of the droplet with the blades, and the residence time of the droplet in the rotating layer are presented. Numerical calculations have shown that, when the dispersed phase moves in the rotating layer, the number of droplet impacts on the blades of a tangent swirler increases with decreasing droplet diameter and gas flow velocity. The results allow us to quantify the refresh rates of the surface of the interphase contact in the separation device with the tangent swirler.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 5","pages":"1766 - 1770"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. I. Dvoretskii, D. S. Dvoretskii, E. I. Akulinin, K. I. Meronyuk, V. B. Usachev
{"title":"Modern Approaches to Development of Flexible Pressure Swing Adsorption Units for Separation of Hydrogen-Containing Gaseous Mixtures","authors":"S. I. Dvoretskii, D. S. Dvoretskii, E. I. Akulinin, K. I. Meronyuk, V. B. Usachev","doi":"10.1134/S0040579525601013","DOIUrl":"10.1134/S0040579525601013","url":null,"abstract":"<p>A new approach to the development of a methodology for the integrated design of cyclic adsorption processes and installations for separating multicomponent gas mixtures (in the presence of uncertainty in some of the initial data during design) is presented, forming the prerequisites for effective control and automation. The article describes the composition of a problem-oriented hardware and software complex intended for conducting pre-project scientific research and preparing initial data for design and substantiation of the adoption of design solutions in the hardware and technological design of cyclic adsorption processes and installations (for separating hydrogen-containing gas mixtures and concentrating high-purity hydrogen gas, widely used in various industries and the social sphere). The problem statements for one- and two-stage optimal design of flexible multi-adsorber pressure swing adsorption (PSA) units are formulated, and engineering algorithms are developed that allow optimal design decisions to be made to ensure safe and optimal (in terms of minimum reduced costs, cost price of manufactured products, and other performance indicators) operation of pressure swing adsorption units.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 6","pages":"1957 - 1979"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. V. Maslova, P. E. Evstropova, N. V. Mudruk, Yu. P. Semushina
{"title":"Desorption Kinetics of Heavy-Metal Cations onto Titanium Phosphate","authors":"M. V. Maslova, P. E. Evstropova, N. V. Mudruk, Yu. P. Semushina","doi":"10.1134/S0040579525601086","DOIUrl":"10.1134/S0040579525601086","url":null,"abstract":"<p>The desorption kinetics of divalent ions (Cu<sup>2+</sup>, Mn<sup>2+</sup>, Co<sup>2+</sup>, Ni<sup>2+</sup>) onto amorphous titanium phosphate is studied. It is established that the desorption of heavy-metal cations onto titanium phosphate is realized by a mixed mechanism: external diffusion and internal diffusion. It is shown from the diffusion coefficients calculated that diffusion in the pores of the sorbent occurs without steric hindrance. For all of the ions studied, a pseudo-second-order model adequately describes the chemical interaction. It is shown that the rate and selectivity of desorption is markedly determined by the effective radius of the hydrated ions.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 6","pages":"2028 - 2033"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Intensification of Vacuum Sublimation Drying of Alginate–Chitosan-Based Matrixes at Various Stages of the Process","authors":"E. K. Mokhova, M. G. Gordienko, N. V. Menshutina","doi":"10.1134/S0040579525600913","DOIUrl":"10.1134/S0040579525600913","url":null,"abstract":"<p>This work involves the intensification of vacuum sublimation drying of alginate–chitosan biopolymer matrices at each stage of the process: from preliminary freezing to the drying itself. The main part of the article presents and describes the designs of installations for carrying out the process of freezing with ultrasound exposure and drying with infrared and ultrasound exposure. A series of experiments have been conducted to study the kinetics of freezing and drying under various conditions. It is found that the use of ultrasound at the freezing stage allows the formation of materials with wide directional channels in the volume of the polymer framework, which subsequently leads to the active mass transfer of moisture at the drying stage.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 6","pages":"1865 - 1874"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
E. R. Badertdinova, M. Kh. Khairullin, M. N. Shamsiev, R. M. jr Khairullin
{"title":"Solution of the Inverse Coefficient Problem of Heat and Mass Transfer from the Results of Temperature Measurements in a Horizontal Well","authors":"E. R. Badertdinova, M. Kh. Khairullin, M. N. Shamsiev, R. M. jr Khairullin","doi":"10.1134/S0040579525600937","DOIUrl":"10.1134/S0040579525600937","url":null,"abstract":"<p>A mathematical model of heat and mass transfer in the “reservoir–horizontal well” system is proposed. An inverse coefficient problem is set to assess the filtration properties of an oil reservoir. Temperature change curves obtained using multisensor technology are used as initial information. A computational algorithm for solving the inverse coefficient problem based on regularization methods is proposed. It allows one to build an inflow profile along the borehole of a horizontal well and evaluate the filtration properties of the reservoir under various fluid flow regimes in the borehole.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 6","pages":"1883 - 1889"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. G. Tikhomirov, O. V. Karmanova, M. E. Semenov, D. A. Poluektov, A. A. Golyakevich
{"title":"Development of a Mathematical Model for Predicting the Physical and Mechanical Properties of Rubber When Introducing a Complex Vulcanization Activator","authors":"S. G. Tikhomirov, O. V. Karmanova, M. E. Semenov, D. A. Poluektov, A. A. Golyakevich","doi":"10.1134/S0040579525601037","DOIUrl":"10.1134/S0040579525601037","url":null,"abstract":"<p>A mathematical description is developed for predicting the physicomechanical properties of sulfur vulcanizates of diene rubbers obtained in the presence of complex vulcanization activators. The concentrations of the components of the complex vulcanization activator, as well as the technological modes of its production, are selected as input parameters. Based on a sample of over 800 experiments, dependences are established for the changes in the modulus and conditional strength on stretching, as well as the relative elongation at breaking, in relation to the ratio of the activator components, temperature, and duration of its synthesis. Statistical data processing is conducted, including Shapiro–Wilk statistical tests. Using neural network technology, a mathematical model is synthesized to describe the influence of the composition of the vulcanization activator and the conditions of its synthesis on the physicomechanical properties of the vulcanizates. The neural network is trained using a dataset containing 784 experiments, and the quality of the approximation is assessed on a control sample of 76 experiments. The obtained values of the relative error in determining the conditional strength and relative elongation by the computational method are approximately 6%. A graphical representation of the results of the simulation is provided.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 6","pages":"1991 - 1998"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. L. Ugolkov, Yu. S. Kudryashova, A. V. Osipov, L. P. Mezentseva, I. V. Makusheva, R. Sh. Abiev
{"title":"Sol-Gel Powder Synthesis for Fabrication of Zircon-Based Ceramic Composites in a Two-Stage Microreactor","authors":"V. L. Ugolkov, Yu. S. Kudryashova, A. V. Osipov, L. P. Mezentseva, I. V. Makusheva, R. Sh. Abiev","doi":"10.1134/S0040579525600883","DOIUrl":"10.1134/S0040579525600883","url":null,"abstract":"<p>The sol-gel synthesis of zircon, zirconium oxide, and composite powder precursors based on them has been performed in two ways: reverse precipitation and the microreactor method in a two-stage apparatus with intensively swirled reagent flows. A comparison of the synthesis results at all stages is carried out—(1 ‒ <i>x</i>)(H<sub>2</sub>SiO<sub>3</sub>‒ZrO(OH)<sub>2</sub>)‒<i>x</i>ZrO(OH)<sub>2</sub> precursor powders, after calcination at 850°С, as well as after sintering powders in the temperature range of 1000‒1300°С. The thermal behavior of the initial nanosized compositions is studied using differential scanning calorimetry and thermogravimetry and dilatometry methods. The temperature coefficients of linear expansion of ceramic samples are estimated. Microhardness values for the (1 – <i>x</i>)ZrSiO<sub>4</sub>–<i>x</i>ZrO<sub>2</sub> ceramic composites are given with different backgrounds.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 6","pages":"1819 - 1832"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. M. Kochetkov, I. S. Gaganov, V. V. Kochetkov, P. A. Nyunkov
{"title":"Developing and Implementing a Fermentation System for Cultivating Methane-Oxidizing Bacteria","authors":"V. M. Kochetkov, I. S. Gaganov, V. V. Kochetkov, P. A. Nyunkov","doi":"10.1134/S0040579525600767","DOIUrl":"10.1134/S0040579525600767","url":null,"abstract":"<p>Based on theoretical research and laboratory tests, an original design of a jet-type bioreactor designed for growing methane-oxidizing bacteria was developed. A series of tests were conducted that demonstrate the unit efficiency, providing required cultivation productivity with the specified energy consumption for producing biomass. The main operating parameters of the fermentation unit (pH, temperature, pressure, the composition of the gas nutrients, and the flow rate inside the apparatus) were given, and problems associated with the limits on their permissible values (particularly the pressure effect and the composition of oxygen-containing gas on the cultivation behavior) were discussed. The effectiveness of using special structural elements in bioreactors was confirmed, which were designed to create a hydrodynamic regime that provide the necessary conditions for culture growth.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 5","pages":"1694 - 1699"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. V. Polyakov, V. O. Podryga, N. I. Tarasov, K. F. Koledina
{"title":"Computer Modeling of Hydrocarbon Fluid Flow in a Chemical Reactor with a Catalyst Layer","authors":"S. V. Polyakov, V. O. Podryga, N. I. Tarasov, K. F. Koledina","doi":"10.1134/S0040579525600950","DOIUrl":"10.1134/S0040579525600950","url":null,"abstract":"<p>This paper examines the process of isomerization of hydrocarbon fluid in a chemical reactor with a catalyst layer, designed for the synthesis of promising products and materials. The main flow parameters necessary for the correct description of hydroisomerization in a chemical reactor are identified. A new mathematical model has been constructed, including the Navier–Stokes equations regularized on the basis of the quasi-hydrodynamic approach, averaged over a representative elementary volume, and a system of convection–diffusion equations for calculating the concentration of raw materials and reaction products. For the proposed model, a computational algorithm was developed and its computer implementation is carried out. The originality of the developed modeling methodology lies in the combination of the quasi-hydrodynamic approach with methods for calculating hydrocarbon flows in porous media. Within the framework of this methodology, trial calculations of a specific applied problem are carried out, demonstrating the correctness of the developed numerical approach.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"58 6","pages":"1900 - 1907"},"PeriodicalIF":0.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143676504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}