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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">vetpress</journal-id><journal-title-group><journal-title xml:lang="ru">Аграрная наука</journal-title><trans-title-group xml:lang="en"><trans-title>Agrarian science</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-8155</issn><issn pub-type="epub">2686-701X</issn><publisher><publisher-name>Редакция журнала "Аграрная наука"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32634/0869-8155-2026-409-08-160-167</article-id><article-id custom-type="elpub" pub-id-type="custom">vetpress-4295</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>АГРОИНЖЕНЕРИЯ И ПИЩЕВЫЕ ТЕХНОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>AGROENGINEERING AND FOOD TECHNOLOGIES</subject></subj-group></article-categories><title-group><article-title>Оценка геометрического масштабирования мультивихревого воздушного классификатора для линий переработки пищевых порошков</article-title><trans-title-group xml:lang="en"><trans-title>Assessment of geometric scaling of a multivortex air classifier for food powder processing lines</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0009-4434-3906</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Прец</surname><given-names>М. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Prets</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мария Арнольдовна Прец, аспирант</p><p>ул. Красносельская, 51, г. Казань, 420066 </p></bio><bio xml:lang="en"><p>Mariia Arnoldovna Prets, Postgraduate student</p><p>51 Krasnoselskaya st., Kazan, 420066 </p></bio><email xlink:type="simple">precmari@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1380-4433</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Зинуров</surname><given-names>В. Э.</given-names></name><name name-style="western" xml:lang="en"><surname>Zinurov</surname><given-names>V. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Вадим Эдуардович Зинуров, кандидат технических наук, заведующий кафедрой</p><p>ул. Красносельская, 51, г. Казань, 420066 </p></bio><bio xml:lang="en"><p>Vadim Eduardovich Zinurov, Candidate of Technical Sciences (PhD in Engineering), Head of the Department</p><p>51 Krasnoselskaya st., Kazan, 420066 </p></bio><email xlink:type="simple">vadd_93@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Казанский государственный энергетический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kazan State Power Engineering University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>14</day><month>08</month><year>2026</year></pub-date><volume>1</volume><issue>8</issue><fpage>160</fpage><lpage>167</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Прец М.А., Зинуров В.Э., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Прец М.А., Зинуров В.Э.</copyright-holder><copyright-holder xml:lang="en">Prets M.A., Zinurov V.E.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.vetpress.ru/jour/article/view/4295">https://www.vetpress.ru/jour/article/view/4295</self-uri><abstract><p>Контроль гранулометрического состава мелкодисперсных порошкообразных материалов является важной инженерной задачей для АПК и пищевых производств, поскольку влияет на устойчивость технологических режимов, качество смешения, точность дозирования и уровень запыленности. Традиционные способы разделения частиц в области размеров менее 100 мкм часто ограничены по селективности и производительности, что определяет необходимость разработки новых аппаратов сухой воздушной классификации. В работе предложен мультивихревой воздушный классификатор, обеспечивающий селективное разделение и частичное обеспыливание порошков без изменения их влажности. Целью исследования стала количественная оценка влияния геометрического масштабирования аппарата и скорости входного газа на показатели разделения частиц, характерных для материалов агропромышленного и пищевого назначения. Исследование выполнено методом вычислительной гидродинамики в программном комплексе ANSYS Fluent с лагранжевым моделированием дисперсной фазы. Рассмотрены скорости входного потока 1–15 м.с и масштабы конструкции 0,5–8 относительно базового типоразмера. Показано, что при увеличении геометрического масштаба аппарата диаметр граничного зерна смещается в область более крупных частиц, а селективность разделения снижается. Установлено, что повышение скорости входного газа до 10–15 м.с способствует формированию более резкого разделения и повышению селективности, что делает указанный диапазон скоростей предпочтительным для практического применения аппарата в режиме классификации. Потери давления в исследованном диапазоне режимов остаются умеренными и не превышают 550 Па. Полученные результаты подтверждают перспективность использования мультивихревого классификатора в линиях кормопроизводства, подготовки премиксов и сухих пищевых ингредиентов.</p></abstract><trans-abstract xml:lang="en"><p>Control of the particle size distribution of fine powdered materials is an important engineering task for the agro-industrial sector and food processing, since it affects process stability, mixing quality, dosing accuracy, and dust generation levels. Conventional particle separation methods for sizes below 100 µm are often limited in selectivity and throughput, which creates a need for new dry air classification devices. In this study, a multi-vortex air classifier is proposed to provide selective separation and partial dedusting of powders without changing their moisture content. The aim of the study was to quantitatively assess the influence of geometric scaling of the apparatus and inlet gas velocity on particle separation performance for materials typical of agro-industrial and food applications. The study was carried out using computational fluid dynamics in ANSYS Fluent with Lagrangian modeling of the dispersed phase. Inlet gas velocities of 1–15 m.s and scale factors of 0.5–8 relative to the base design were considered. It is shown that increasing the geometric scale of the classifier shifts the cut size toward larger particles and reduces separation selectivity. It was found that increasing the inlet gas velocity to 10–15 m.s promotes a sharper separation transition and improves selectivity, making this velocity range preferable for practical operation of the classifier in classification mode. Pressure losses remain moderate over the studied operating range and do not exceed 550 Pa. The obtained results confirm the potential of the multi-vortex classifier for feed production lines, premix preparation, and dry food ingredient processing.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>мультивихревой классификатор</kwd><kwd>воздушная классификация</kwd><kwd>сухое фракционирование</kwd><kwd>мелкодисперсные порошки</kwd><kwd>фракционная эффективность</kwd><kwd>геометрическое масштабирование</kwd><kwd>селективность разделения</kwd><kwd>порошковые пищевые материалы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>multi-vortex classifier</kwd><kwd>air classification</kwd><kwd>dry fractionation</kwd><kwd>fine powders</kwd><kwd>fractional efficiency</kwd><kwd>geometric scaling</kwd><kwd>separation selectivity</kwd><kwd>powdered food materials</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено в рамках гранта Академии Наук Республики Татарстан на поддержку программ развития передовых инженерных школ республиканского значения «ТурбоПИШ», соглашение 1РПИШ от 19.12.2025 г.</funding-statement><funding-statement xml:lang="en">The work was carried out within the framework of a grant from the Academy of Sciences of the Republic of Tatarstan to support programs for the development of advanced engineering schools of national significance «Turbo Advanced Engineering School», agreement 1 Russian advanced engineering school dated 12/19/2025.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Suhag R., Kellil A., Razem M. Factors Influencing Food Powder Flowability. Powders. 2024; 3(1): 65‒76. https://doi.org/10.3390/powders3010006</mixed-citation><mixed-citation xml:lang="en">Suhag R., Kellil A., Razem M. Factors Influencing Food Powder Flowability. Powders. 2024; 3(1): 65‒76. https://doi.org/10.3390/powders3010006</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Nunnenkamp D., Bierschenk E., Westendarp H., Wolf P. Particle Size Distribution of Organic Complete Diets for Laying Hens during Feed Offering. Agriculture. 2022; 12(2): 272. https://doi.org/10.3390/agriculture12020272</mixed-citation><mixed-citation xml:lang="en">Nunnenkamp D., Bierschenk E., Westendarp H., Wolf P. Particle Size Distribution of Organic Complete Diets for Laying Hens during Feed Offering. Agriculture. 2022; 12(2): 272. https://doi.org/10.3390/agriculture12020272</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Lie-Piang A., Yang J., Schutyser M.A.I., Nikiforidis C.V., Boom R.M. Mild Fractionation for More Sustainable Food Ingredients. Annual Review of Food Science and Technology. 2023; 14: 473‒493. https://doi.org/10.1146/annurevfood-060721-024052</mixed-citation><mixed-citation xml:lang="en">Lie-Piang A., Yang J., Schutyser M.A.I., Nikiforidis C.V., Boom R.M. Mild Fractionation for More Sustainable Food Ingredients. Annual Review of Food Science and Technology. 2023; 14: 473‒493. https://doi.org/10.1146/annurevfood-060721-024052</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Holt D., Aldrich C.G. Evaluation of Mixing Efficacy of Carriers for Supplemental Nutrient Premixes in Animal Feed. Kansas Agricultural Experiment Station Research Reports. 2021; 7(10): 17. https://doi.org/10.4148/2378-5977.8155</mixed-citation><mixed-citation xml:lang="en">Holt D., Aldrich C.G. Evaluation of Mixing Efficacy of Carriers for Supplemental Nutrient Premixes in Animal Feed. Kansas Agricultural Experiment Station Research Reports. 2021; 7(10): 17. https://doi.org/10.4148/2378–5977.8155</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Matuszek D.B., Bierczyński K., Jędrysiak A., Kraszewska A. Homogeneity of the selected food mixes. Czech Journal of Food Sciences. 2021; 39(3): 197‒207. https://doi.org/10.17221/225/2020-CJFS</mixed-citation><mixed-citation xml:lang="en">Matuszek D.B., Bierczyński K., Jędrysiak A., Kraszewska A. Homogeneity of the selected food mixes. Czech Journal of Food Sciences. 2021; 39(3): 197‒207. https://doi.org/10.17221/225/2020-CJFS</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang F., O’Mahony J.A., Miao S., Cronin K. An Experimental Study on the Dilute Phase Pneumatic Conveying of Fat-Filled Milk Powders: Particle Breakage. Powders. 2023; 2(1): 124‒134. https://doi.org/10.3390/powders2010009</mixed-citation><mixed-citation xml:lang="en">Zhang F., O’Mahony J.A., Miao S., Cronin K. An Experimental Study on the Dilute Phase Pneumatic Conveying of Fat-Filled Milk Powders: Particle Breakage. Powders. 2023; 2(1): 124‒134. https://doi.org/10.3390/powders2010009</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Shah D.S., Moravkar K.K., Jha D.K., Lonkar V., Amin P.D., Chalikwar S.S. A concise summary of powder processing methodologies for flow enhancement. Heliyon. 2023; 9(6): e16498. https://doi.org/10.1016/j.heliyon.2023.e16498</mixed-citation><mixed-citation xml:lang="en">Shah D.S., Moravkar K.K., Jha D.K., Lonkar V., Amin P.D., Chalikwar S.S. A concise summary of powder processing methodologies for flow enhancement. Heliyon. 2023; 9(6): e16498. https://doi.org/10.1016/j.heliyon.2023.e16498</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Hazlett R., Schmidmeier C., O’Mahony J.A. Approaches for improving the flowability of high-protein dairy powders post spray drying — A review. Powder Technology. 2021; 388: 26‒40. https://doi.org/10.1016/j.powtec.2021.03.021</mixed-citation><mixed-citation xml:lang="en">Hazlett R., Schmidmeier C., O’Mahony J.A. Approaches for improving the flowability of high-protein dairy powders post spray drying — A review. Powder Technology. 2021; 388: 26‒40. https://doi.org/10.1016/j.powtec.2021.03.021</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Perelli S., D’Angelo D., Pellegrini L. Analysis of Dust Fires and Explosions in the Food Processing Industry. Chemical Engineering Transactions. 2023; 104: 169‒174. https://doi.org/10.3303/CET23104029</mixed-citation><mixed-citation xml:lang="en">Perelli S., D’Angelo D., Pellegrini L. Analysis of Dust Fires and Explosions in the Food Processing Industry. Chemical Engineering Transactions. 2023; 104: 169‒174. https://doi.org/10.3303/CET23104029</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Jezsó K., Peciar P. Influence of the Selected Sieving Parameters on the Sieving Efficiency of Material MCC Avicel PH102. Strojnícky časopis — Journal of Mechanical Engineering. 2022; 72(1): 77‒88. https://doi.org/10.2478/scjme-2022-0008</mixed-citation><mixed-citation xml:lang="en">Jezsó K., Peciar P. Influence of the Selected Sieving Parameters on the Sieving Efficiency of Material MCC Avicel PH102. Strojnícky časopis - Journal of Mechanical Engineering. 2022; 72(1): 77‒88. https://doi.org/10.2478/scjme-2022-0008</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Pulivarthi M.K. et al. Dry fractionation process operations in the production of protein concentrates: A review. Comprehensive Reviews in Food Science and Food Safety. 2023; 22(6): 4670‒4697. https://doi.org/10.1111/1541-4337.13237</mixed-citation><mixed-citation xml:lang="en">Pulivarthi M.K. et al. Dry fractionation process operations in the production of protein concentrates: A review. Comprehensive Reviews in Food Science and Food Safety. 2023; 22(6): 4670‒4697. https://doi.org/10.1111/1541-4337.13237</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Meenakshi Sundaram G.S., Das D., Emiola-Sadiq T., Sajeeb Khan A., Zhang L., Meda V. Developments in the Dry Fractionation of Plant Components: A Review. Separations. 2024; 11(12): 332. https://doi.org/10.3390/separations11120332</mixed-citation><mixed-citation xml:lang="en">Meenakshi Sundaram G.S., Das D., Emiola-Sadiq T., Sajeeb Khan A., Zhang L., Meda V. Developments in the Dry Fractionation of Plant Components: A Review. Separations. 2024; 11(12): 332. https://doi.org/10.3390/separations11120332</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Cammerata A., Sestili F., Laddomada B., Aureli G. Bran-Enriched Milled Durum Wheat Fractions Obtained Using Innovative Micronization and AirClassification Pilot Plants. Foods. 2021; 10(8): 1796. https://doi.org/10.3390/foods10081796</mixed-citation><mixed-citation xml:lang="en">Cammerata A., Sestili F., Laddomada B., Aureli G. Bran-Enriched Milled Durum Wheat Fractions Obtained Using Innovative Micronization and AirClassification Pilot Plants. Foods. 2021; 10(8): 1796. https://doi.org/10.3390/foods10081796</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Cammerata A., Marabottini R., Allevato E., Aureli G., Stazi S.R. Content of minerals and deoxynivalenol in the air-classified fractions of durum wheat. Cereal Chemistry. 2021; 98(5): 1101‒1111. https://doi.org/10.1002/cche.10458</mixed-citation><mixed-citation xml:lang="en">Cammerata A., Marabottini R., Allevato E., Aureli G., Stazi S.R. Content of minerals and deoxynivalenol in the air-classified fractions of durum wheat. Cereal Chemistry. 2021; 98(5): 1101‒1111. https://doi.org/10.1002/cche.10458</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Wetterauw K., Wilms P., Boom R., van der Linden E., Venema P., Schutyser M. Air classification of starch-rich pulse flours: A generic method to predict starch-protein separation. Innovative Food Science &amp; Emerging Technologies. 2026; 108: 104407. https://doi.org/10.1016/j.ifset.2025.104407</mixed-citation><mixed-citation xml:lang="en">Wetterauw K., Wilms P., Boom R., van der Linden E., Venema P., Schutyser M. Air classification of starch-rich pulse flours: A generic method to predict starch-protein separation. Innovative Food Science &amp; Emerging Technologies. 2026; 108: 104407. https://doi.org/10.1016/j.ifset.2025.104407</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Guo M. et al. An overview of novel geometrical modifications and optimizations of gas-particle cyclone separators. Separation and Purification Technology. 2024; 329: 125136. https://doi.org/10.1016/j.seppur.2023.125136</mixed-citation><mixed-citation xml:lang="en">Guo M. et al. An overview of novel geometrical modifications and optimizations of gas-particle cyclone separators. Separation and Purification Technology. 2024; 329: 125136. https://doi.org/10.1016/j.seppur.2023.125136</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Kaas A., Mütze T., Peuker U.A. Review on Zigzag Air Classifier. Processes. 2022; 10(4): 764. https://doi.org/10.3390/pr10040764</mixed-citation><mixed-citation xml:lang="en">Kaas A., Mütze T., Peuker U.A. Review on Zigzag Air Classifier. Processes. 2022; 10(4): 764. https://doi.org/10.3390/pr10040764</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Stepanenko S., Kotov B., Kuzmych A., Kalinichenko R., Hryshchenko V. Research of the process of air separation of grain material in a vertical zigzag channel. Journal of Central European Agriculture. 2023; 24(1): 225‒235. https://doi.org/10.5513/JCEA01/24.1.3732</mixed-citation><mixed-citation xml:lang="en">Stepanenko S., Kotov B., Kuzmych A., Kalinichenko R., Hryshchenko V. Research of the process of air separation of grain material in a vertical zigzag channel. Journal of Central European Agriculture. 2023; 24(1): 225‒235. https://doi.org/10.5513/JCEA01/24.1.3732</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Исмайлова Х.Р. Моделирование процесса пневмосепарации семян подсолнечника в воздушном потоке. Аграрная наука. 2018; (11‒12): 87‒90. https://doi.org/10.32634/0869-8155-2018-320-11-87-90</mixed-citation><mixed-citation xml:lang="en">Ismailova H.R. Modeling of air separation of sunflower seeds in the air stream. Agrarian science. 2018; (11‒12): 87‒90 (in Russian). https://doi.org/10.32634/0869-8155-2018-320-11-87-90</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Sun Z., Liang L., Liu C., Zhu Y., Zhang L., Yang G. CFD simulation and performance optimization of a new horizontal turbo air classifier. Advanced Powder Technology. 2021; 32(4): 977‒986. https://doi.org/10.1016/j.apt.2021.01.041</mixed-citation><mixed-citation xml:lang="en">Sun Z., Liang L., Liu C., Zhu Y., Zhang L., Yang G. CFD simulation and performance optimization of a new horizontal turbo air classifier. Advanced Powder Technology. 2021; 32(4): 977‒986. https://doi.org/10.1016/j.apt.2021.01.041</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Yu Y., Li X., Zhang Y., Jiao Z., Liu J. The influence of air inlet layout on the inner flow field for a vertical turbo air classifier. Physicochemical Problems of Mineral Processing. 2023; 59(6): 175859. https://doi.org/10.37190/ppmp/175859</mixed-citation><mixed-citation xml:lang="en">Yu Y., Li X., Zhang Y., Jiao Z., Liu J. The influence of air inlet layout on the inner flow field for a vertical turbo air classifier. Physicochemical Problems of Mineral Processing. 2023; 59(6): 175859. https://doi.org/10.37190/ppmp/175859</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Mou X., Jia F., Fang Y., Chen C. CFD-Based Structural Optimization of Rotor Cage for High-Efficiency Rotor Classifier. Processes. 2021; 9(7): 1148. https://doi.org/10.3390/pr9071148</mixed-citation><mixed-citation xml:lang="en">Mou X., Jia F., Fang Y., Chen C. CFD-Based Structural Optimization of Rotor Cage for High-Efficiency Rotor Classifier. Processes. 2021; 9(7): 1148. https://doi.org/10.3390/pr9071148</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Jia F., Mou X., Fang Y., Chen C. A New Rotor-Type Dynamic Classifier: Structural Optimization and Industrial Applications. Processes. 2021; 9(6): 1033. https://doi.org/10.3390/pr9061033</mixed-citation><mixed-citation xml:lang="en">Jia F., Mou X., Fang Y., Chen C. A New Rotor-Type Dynamic Classifier: Structural Optimization and Industrial Applications. Processes. 2021; 9(6): 1033. https://doi.org/10.3390/pr9061033</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Eckhoff R.K., Li G. Industrial Dust Explosions. A Brief Review. Applied Sciences. 2021; 11(4): 1669. https://doi.org/10.3390/app11041669</mixed-citation><mixed-citation xml:lang="en">Eckhoff R.K., Li G. Industrial Dust Explosions. A Brief Review. Applied Sciences. 2021; 11(4): 1669. https://doi.org/10.3390/app11041669</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Sulaiman S.Z., Mohd Mokhtar K., Wan Sulaiman W.Z., Semawi N.H. Flame propagation and explosion characteristics of food-based dust as a function of dust concentration. Process Safety Progress. 2024; 43(3): 579‒586. https://doi.org/10.1002/prs.12591</mixed-citation><mixed-citation xml:lang="en">Sulaiman S.Z., Mohd Mokhtar K., Wan Sulaiman W.Z., Semawi N.H. Flame propagation and explosion characteristics of food-based dust as a function of dust concentration. Process Safety Progress. 2024; 43(3): 579‒586. https://doi.org/10.1002/prs.12591</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Pahasup-anan T. et al. Dust Explosion Risk Assessment of Extruded Food Production Process by Fault Tree Analysis. ACS Chemical Health &amp; Safety. 2022; 29(1): 91‒97. https://doi.org/10.1021/acs.chas.1c00036</mixed-citation><mixed-citation xml:lang="en">Pahasup-anan T. et al. Dust Explosion Risk Assessment of Extruded Food Production Process by Fault Tree Analysis. ACS Chemical Health &amp; Safety. 2022; 29(1): 91‒97. https://doi.org/10.1021/acs.chas.1c00036</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Прец М.А., Зинуров В.Э., Дмитриев А.В., Мугинов А.М. Численное исследование влияния геометрических параметров мультивихревого классификатора на эффективность фракционирования частиц. Вестник Технологического университета. 2025; 28(4): 63–68. https://doi.org/10.55421/3034-4689_2025_28_4_63</mixed-citation><mixed-citation xml:lang="en">Prets M.A., Zinurov V.E., Dmitriev A.V., Muginov A.M. Numerical Study of the Influence of Geometric Parameters of a Multi-Vortex Classifier on Particle Fractionation Efficiency. Theoretical Foundations of Chemical Engineering. 2025; 59(4): 1033‒1038. https://doi.org/10.1134/S0040579525602791</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Зинуров В.Э., Биккулов Р.Я., Дмитриева О.С., Мадышев И.Н., Абдуллина А.А. экспериментальное определение гидравлического сопротивления мультивихревого сепаратора. Ползуновский вестник. 2023; (1): 191–199. https://doi.org/10.25712/ASTU.2072-8921.2023.01.024</mixed-citation><mixed-citation xml:lang="en">Zinurov V.E., Bikkulov R.Ya., Dmitrieva O.S., Madyshev I.N., Abdullina A.A. Experimental Determination of Hydraulic Resistance of a Multi-Vortex Separator. Theoretical Foundations of Chemical Engineering. 2024; 58(3): 832‒837. https://doi.org/10.1134/S0040579524601420</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Menter F.R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal. 1994; 32(8): 1598‒1605. https://doi.org/10.2514/3.12149</mixed-citation><mixed-citation xml:lang="en">Menter F.R. Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal. 1994; 32(8): 1598‒1605. https://doi.org/10.2514/3.12149</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Gosman A.D., Ioannides E. Aspects of Computer Simulation of LiquidFueled Combustors. Journal of Energy. 1983; 7(6): 482‒490. https://doi.org/10.2514/3.62687</mixed-citation><mixed-citation xml:lang="en">Gosman A.D., Ioannides E. Aspects of Computer Simulation of LiquidFueled Combustors. Journal of Energy. 1983; 7(6): 482‒490. https://doi.org/10.2514/3.62687</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
