{"title":"Packing of Filler Particles of Different Sizes and the Rheological Properties of Polymer Dispersions with Different Types of Structures","authors":"I. D. Simonov-Emel’yanov, P. V. Surikov","doi":"10.1134/S0040579526600804","DOIUrl":"10.1134/S0040579526600804","url":null,"abstract":"<p>The structures of dispersion-filled polymer composite materials and their key characterizing parameters are considered. A number of modern models used to describe the rheological properties of dispersion-filled polymer composite materials are analyzed. A generalized mathematical model is proposed that relates relative viscosity to the parameters of the disperse structure. Using dispersion-filled polymer composite materials with various average particle sizes (glass beads, marshalit, and white carbon) as examples, it is demonstrated that the presented model allows one to make a description based on structural parameters for the dependence of the effective viscosity of the studied dispersions over the entire range of filler contents for all disperse systems with various polymer matrices and fillers. The application of this approach in technological practice allows one to estimate the viscosities of melts based on the parameters of a given type of dispersion-filled polymer composite material structure.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1618 - 1628"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148553162","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":"Analytical Design of Observation Systems in Chemical Cybernetics","authors":"A. S. Gorobtsov, O. E. Grigor’eva, E. N. Ryzhov","doi":"10.1134/S0040579526600865","DOIUrl":"10.1134/S0040579526600865","url":null,"abstract":"<p>An approach to designing systems of observation of the state space of a reacting mixture is proposed. The observation system consists of subsystems of self-oscillating oscillators observing the phase subspaces of a system of kinetic equations for the observed groups of substances in the reacting mixture. Geometrically, the approach is based on a scheme for synthesizing limit cycles in the observation phase space. In this approach, the output amplitudes of the observing self-oscillating processes established in the observation system indicate stabilization of the concentrations of the observed reagents within their permissible ranges. Some mathematical aspects of the approach are considered. The results of the article are illustrated by numerical modeling of the dynamics of stabilization of the amount of substance and the associated phase dynamics of the observation system.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1555 - 1566"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552868","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. B. Glebov, V. A. Naletov, A. M. Kasatkin, A. Yu. Naletov
{"title":"Modeling of Lithium Adsorption in a Packed Column from Associated Water of Oil Fields","authors":"M. B. Glebov, V. A. Naletov, A. M. Kasatkin, A. Yu. Naletov","doi":"10.1134/S0040579526600877","DOIUrl":"10.1134/S0040579526600877","url":null,"abstract":"<p>The article presents a mathematical model of the lithium adsorption process in a packed column, taking into account the saturation of the sorbent with the absorbed component. The Langmuir model is used to assess the equilibrium in the system. Granular material is considered as the sorbent, based on the compound LiCl·2Al(OH)<sub>3</sub>·<i>m</i>H<sub>2</sub>O (DHAL-Cl). Calculations of the sorption column are carried out on the basis of finite differences in time and coordinate. The results of calculations of lithium extraction in a packed adsorber for various process conditions are presented, which demonstrate the efficiency of the adsorption extraction method. A conclusion is made about the prospects of practical application of the lithium adsorption process for certain ranges of its concentrations in solutions.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1547 - 1554"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552899","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. V. Samonin, Yu. S. Fedorov, V. Yu. Morozova, M. E. Sikoyeva
{"title":"Sorption Separation of Niobium–Zirconium Cation Mixture","authors":"V. V. Samonin, Yu. S. Fedorov, V. Yu. Morozova, M. E. Sikoyeva","doi":"10.1134/S0040579526600993","DOIUrl":"10.1134/S0040579526600993","url":null,"abstract":"<p>This paper demonstrates for the first time the possibility of using sorption technologies for the separation of a mixture of radioactive niobium and zirconium cations, which are components of waste generated in the nuclear fuel cycle. The separation of these elements will significantly reduce the costs of waste disposal and also enable the reuse of zirconium ions. The ion separation process is studied in detail using the AV-17-8 anion exchanger. More efficient process condition for dynamic mode is selected and its mechanism is proposed.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1742 - 1748"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552866","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}
R. M. Ganopolsky, B. R. Gilmutdinov, A. V. Zhonin, T. M. Mukhametzyanov, K. M. Fedorov, A. E. Folomeev
{"title":"Experimental Study of the Kinetics of the Reaction of Hydrochloric Acid with Carbonate Rocks under Thermobaric Conditions of the Reservoir","authors":"R. M. Ganopolsky, B. R. Gilmutdinov, A. V. Zhonin, T. M. Mukhametzyanov, K. M. Fedorov, A. E. Folomeev","doi":"10.1134/S0040579526600713","DOIUrl":"10.1134/S0040579526600713","url":null,"abstract":"<p>The interaction of acid with carbonate rocks is the basis for processes of increasing the productivity of production wells and intensifying oil production from carbonate reservoirs. The dissolution of carbonates under conditions of filtration of an acid solution through a porous medium is determined by the competition between the processes of chemical reaction and convective transfer of acid. The study of these competing processes is carried out in two main setups: a rotating carbonate disk washed by a flow of acid and a setup for filtering an acid solution through carbonate reservoir samples. The paper presents the results of such studies with a discussion of the results and the determination of the reaction kinetics parameters on a sample of a specific deposit. The values of the diffusion and reaction kinetics and the critical rate of formation of wormholes in a porous medium at different concentrations of hydrochloric acid are calculated. The values of the main dimensionless similarity complexes are estimated: the Damköhler and Peclet numbers and the dissolving power of the acid.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1441 - 1449"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552979","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}
A. V. Balchugov, I. L. Sablina, D. V. Antonov, A. A. Kramarenko
{"title":"Hydrodynamics and Heat Transfer on a Disc Sprayer","authors":"A. V. Balchugov, I. L. Sablina, D. V. Antonov, A. A. Kramarenko","doi":"10.1134/S0040579526600956","DOIUrl":"10.1134/S0040579526600956","url":null,"abstract":"<p>Experimental studies of new disc atomizers designed for cooling water with atmospheric air are carried out. Criterial equations are obtained for calculating the hydrodynamic and heat-exchange characteristics of sprayers (radius, height, and volume of the spray torch), as well as volumetric heat-transfer coefficient. The spray efficiency on the flanged disc (Disc no. 3) is greater than the spray volume on the flat disc (Disc no. 1) in the entire studied range of Re and <i>K</i><sub><i>n</i></sub>. The conditions under which the spray disc with nozzles (Disc no. 2) ensures the most efficient atomization of the liquid and high intensity of heat transfer are established. At <i>K</i><sub><i>n</i></sub> = 50 the critical value of the Reynolds criterion will be Re = 277. A diagram is proposed for the graphical determination of the range of values of Re and <i>K</i><sub><i>n</i></sub>, in which the heat-transfer intensity on Disc no. 2 is higher than on Disc no. 1.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1664 - 1670"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552980","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}
T. Yu. Chikineva, I. V. Zinov’eva, E. S. Uvarova, A. V. Milevskaya, Yu. A. Zakhodyaeva, A. A. Voshkin
{"title":"Metal Extraction from Nitrate Solutions Using a Deep Eutectic Solvent Composed of Bis(2,4,4-trimethylpentyl)phospinic Acid and Phenol","authors":"T. Yu. Chikineva, I. V. Zinov’eva, E. S. Uvarova, A. V. Milevskaya, Yu. A. Zakhodyaeva, A. A. Voshkin","doi":"10.1134/S0040579526600683","DOIUrl":"10.1134/S0040579526600683","url":null,"abstract":"<p>The qualitative and quantitative composition of NdFeB magnet have been determined, and the specific features of metal leaching with nitric acid solutions have been studied. Optimal conditions for the most complete metal leaching have been selected. For the extraction of a number of metals from the nitric acid leachate of neodymium magnets, a hydrophobic deep eutectic solvent composed of bis(2,4,4-trimethylpentyl)phosphinic acid (commercially known as Cyanex 272) and phenol has been proposed as an extractant. Experimental data on the extraction of Ni, Fe, Al, and Cu ions from model individual and mixed solutions using the BTMPPA/phenol deep eutectic solvent have been obtained by varying key process parameters, specifically, medium acidity, salting-out agent concentration, component ratio in the eutectic solvent, metal concentration, etc. The results obtained indicate the promising application of the BTMPPA/phenol deep eutectic solvent for the recovery of Ni, Fe, Al, and Cu cations in the processing of magnetic material waste.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1431 - 1440"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552857","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}
I. N. Rostovschikova, R. V. Nikonov, A. V. Kamler, D. V. Ovchinnikov, D. S. Kosyakov, O. I. Pokrovskiy
{"title":"Comparison of Temperature and Ultrasonic Intensification of Supercritical Fluid Extraction: Case Study of Wild Parsnip Seeds","authors":"I. N. Rostovschikova, R. V. Nikonov, A. V. Kamler, D. V. Ovchinnikov, D. S. Kosyakov, O. I. Pokrovskiy","doi":"10.1134/S0040579526600701","DOIUrl":"10.1134/S0040579526600701","url":null,"abstract":"<p>A comparison of thermal and ultrasonic intensification of supercritical fluid extraction using wild parsnip seeds, a source of plant oil and furocoumarin photosensibilizers, is conducted. It is found that, even at pressure as high as 300 bar, the temperature effect on parsnip extraction demonstrates a so-called retrograde behavior; i.e., isobaric temperature increase leads to a decrease in extraction speed and overall mass yield. The previously proposed idea on a chromatography-like mechanism of the supercritical fluid extraction process with multiple re-adsorption of the isolated components onto the plant material working as a sorbent allows explaining the observance of retrograde behavior, uncommon for such high pressure values. The overall influence of ultrasonic intensification of extraction process is shown to be similar to that of temperature. At low extraction pressure (100 bar), when cavitation of a subcritical fluid entering the extraction zone is possible in principle, ultrasonication leads to an increased extraction kinetics at the initial, linear part of the extraction curve. At high working pressure (300 bar), the effect of ultrasonication is essentially equal to that of direct heating. Using supercritical fluid chromatography, the furocoumarin profiles of the thermal and ultrasonic parsnip extracts are shown to be identical; thus, ultrasonication even at 100 bar does not cause any unwanted sonochemical effects.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1493 - 1504"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552858","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}
A. M. Trushin, L. V. Ravichev, M. A. Nosyrev, V. E. Yashin
{"title":"Determination of Hindered Motion Velocity of Dispersed Particles in Sedimentation and Bubbling Processes","authors":"A. M. Trushin, L. V. Ravichev, M. A. Nosyrev, V. E. Yashin","doi":"10.1134/S0040579526600919","DOIUrl":"10.1134/S0040579526600919","url":null,"abstract":"<p>Based on the models of effective viscosity and drift-flux, semi-empirical correlations for the hindered motion velocity of solid and gaseous particles on the volume fraction of the dispersed phase at low Reynolds numbers have been obtained, showing a high correlation with experimental data.</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1772 - 1777"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552873","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}
Z. K. Maimekov, D. A. Sambaeva, J. B. Izakov, N. T. Shaikieva, M. Dolaz, M. Kobya
{"title":"Concentration Distribution of Molecules and Particles in a Chrome-Containing Model System: Fe–K2Cr2O7–NaCl–H2SO4–H2O at Different Temperatures of the Electrocoagulation Process","authors":"Z. K. Maimekov, D. A. Sambaeva, J. B. Izakov, N. T. Shaikieva, M. Dolaz, M. Kobya","doi":"10.1134/S0040579526601007","DOIUrl":"10.1134/S0040579526601007","url":null,"abstract":"<p>For the purpose of water purification from chromium (Cr<sup>6+</sup>), thermodynamic modeling of the electrocoagulation process has been carried out in the Fe–K<sub>2</sub>Cr<sub>2</sub>O<sub>7</sub>–NaCl–H<sub>2</sub>SO<sub>4</sub>–H<sub>2</sub>O system over a wide temperature range (278–300 K). The physicochemical (pH, <i>I</i>, <i>Eh</i>, <i>Cp</i>) and thermodynamic (<i>H</i>, <i>S</i>, <i>U</i>, <i>G</i>) parameters of the system have been calculated at established optimal ratios of the initial components. Based on the calculated data, an experimental study was performed and the influence on the electrocoagulation processes of pH, current strength, type, and concentration of electrolytes has been revealed. The concentration distribution of individual molecules and species (cations, anions) has been established, including: Cr<sup>2+</sup>, Cr<sup>3+</sup>, CrO<sup>+</sup>, CrOH<sup>2+</sup>, Fe<sup>+</sup>, FeOH<sup>+</sup>, FeOH<sup>2+</sup> in the solution, thereby eliminating the need for ion chromatography for analytical purposes. An <i>Eh</i>–pH diagram has been constructed indicating the stability fields of various chromium forms, and a formula has been derived for calculating the redox potential depending on the solution pH. It is shown that <i>Eh</i> > 0, i.e., the medium is oxidative, and the formation of Cr<sup>3+</sup> is noted in the concentrated solution (<i>I</i> > 0.8). During electrocoagulation, the binding of sulfur and iron in the form of FeS<sub>2</sub> has been achieved, followed by the formation of Fe(OH)<sub>3</sub> and coprecipitation of Cr(OH)<sub>3</sub>. The degree of water purification from chromium exceeded 97% (reduction of Cr<sup>6+</sup> in water from 100 mg/L to 2.29–2.30 mg/L).</p>","PeriodicalId":798,"journal":{"name":"Theoretical Foundations of Chemical Engineering","volume":"59 6","pages":"1727 - 1735"},"PeriodicalIF":0.4,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552978","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}