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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">techusgu</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Юго-Западного государственного университета. Серия: Техника и технологии</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Southwest State University. Series: Engineering and Technology</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-1528</issn><publisher><publisher-name>Юго-Западный государственный университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21869/2223-1528-2026-16-1-114-126</article-id><article-id custom-type="elpub" pub-id-type="custom">techusgu-403</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Исследование динамических характеристик капель воды, движущихся в объёме магнитной жидкости</article-title><trans-title-group xml:lang="en"><trans-title>Investigation of the dynamic characteristics of water droplets moving in the volume of a magnetic fluid</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Соколов</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Sokolov</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Соколов Евгений Александрович - кандидат физико-математических наук, старший преподаватель кафедры нанотехнологий, микроэлектроники, общей и прикладной физики.</p><p>Ул. 50 лет Октября, д. 94, Курск 305040</p></bio><bio xml:lang="en"><p>Evgeniy A. Sokolov - Candidate of Sciences (Physics and Mathematics), Senior Lecturer of the Department of Nanotechnology, Microelectronics, General and Applied Physics.</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">evgeniysokolov1@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Калюжная</surname><given-names>Д. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kalyuzhnaya</surname><given-names>D. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Калюжная Дарья Анатольевна - аспирант кафедры нанотехнологий, микроэлектроники, общей и прикладной физики.</p><p>Ул. 50 лет Октября, д. 94, Курск 305040</p></bio><bio xml:lang="en"><p>Dariya A. Kalyuzhnaya - Postgraduate Student of the Department of Nanotechnology, Microelectronics, General and Applied Physics.</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">kalyuzhnaya.dariya@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ширяев</surname><given-names>Д. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Shiryaev</surname><given-names>D. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ширяев Дмитрий Иванович - студент кафедры нанотехнологий, микроэлектроники, общей и прикладной физики.</p><p>Ул. 50 лет Октября, д. 94, Курск 305040</p></bio><bio xml:lang="en"><p>Dmitry I. Shiryaev - Student of the Department of Nanotechnology, Microelectronics, General and Applied Physics.</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">dsiraev611@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Булгакова</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bulgakova</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Булгакова Варвара Алексеевна - студент кафедры нанотехнологий, микроэлектроники, общей и прикладной физики.</p><p>Ул. 50 лет Октября, д. 94, Курск 305040</p></bio><bio xml:lang="en"><p>Varvara A. Bulgakova - Student of the Department of Nanotechnology, Microelectronics, General and Applied Physics.</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">bulg-varvara@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Маслова</surname><given-names>В. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Maslova</surname><given-names>V. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Маслова Василиса Павловна - студент кафедры нанотехнологий, микроэлектроники, общей и прикладной физики.</p><p>Ул. 50 лет Октября, д. 94, Курск 305040</p></bio><bio xml:lang="en"><p>Vasilisa P. Maslova - Student of the Department of Nanotechnology, Microelectronics, General and Applied Physics.</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">pivonapolyy@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рязанцева</surname><given-names>М. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Ryazantseva</surname><given-names>M. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рязанцева Мария Олеговна - студент кафедры нанотехнологий, микроэлектроники, общей и прикладной физики.</p><p>Ул. 50 лет Октября, д. 94, Курск 305040</p></bio><bio xml:lang="en"><p>Maria O. Ryazantseva - Student of the Department of Nanotechnology, Microelectronics, General and Applied Physics.</p><p>50 Let Oktyabrya Str. 94, Kursk 305040</p></bio><email xlink:type="simple">masarazanceva878@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Юго-Западный государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Southwest State 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>04</month><year>2026</year></pub-date><volume>16</volume><issue>1</issue><fpage>114</fpage><lpage>126</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Соколов Е.А., Калюжная Д.А., Ширяев Д.И., Булгакова В.А., Маслова В.П., Рязанцева М.О., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Соколов Е.А., Калюжная Д.А., Ширяев Д.И., Булгакова В.А., Маслова В.П., Рязанцева М.О.</copyright-holder><copyright-holder xml:lang="en">Sokolov E.A., Kalyuzhnaya D.A., Shiryaev D.I., Bulgakova V.A., Maslova V.P., Ryazantseva M.O.</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://techusgu.elpub.ru/jour/article/view/403">https://techusgu.elpub.ru/jour/article/view/403</self-uri><abstract><sec><title>Цель</title><p>Цель. Экспериментально исследовать скорость и ускорение капель воды, всплывающих в объеме магнитной жидкости под действием неоднородного магнитного поля, создаваемого комбинированной системой магнитов, включающей кольцевой постоянный магнит, помещенный на соленоид.</p></sec><sec><title>Методы</title><p>Методы. Эксперименты проводились на установке, разработанной авторами. Сбор данных осуществлялся с применением стандартного измерительного оборудования. Величина напряженности магнитного поля регистрировалась с помощью тесламетра ТПУ-01, оснащенного преобразователем Холла, обеспечивающим высокую точность измерений. Топология магнитного поля была смоделирована численно с использованием пакета конечных элементов FEMM, интегрированного в интерактивную среду MathLab. Данная программная платформа была использована для расчета, последующей обработки и визуализации распределения магнитного поля, создаваемого комбинированной системой магнитов. Обработка изображений движущихся немагнитных включений выполнялась с помощью специализированного программного обеспечения, разработанного авторами в программе NI LabVIEW. Теоретическая интерпретация экспериментальных данных основывалась на положениях физики конденсированного состояния.</p></sec><sec><title>Результаты</title><p>Результаты. В ходе экспериментов были получены зависимости координаты, скорости, ускорения дисперсных систем на основе магнитной жидкости и воды от параметров неоднородного магнитного поля, создаваемого комбинированной системой магнитов. Компьютерное моделирование в FEMM позволило оценить топологию магнитного поля, воздействующего на капли воды в объёме магнитной жидкости, и сопоставить расчетные данные с экспериментальными. Установлено, что экспериментальные и теоретические результаты хорошо согласуются.</p></sec><sec><title>Вывод</title><p>Вывод. Полученные результаты демонстрируют принципиальную возможность управления динамикой магнитожидкостных сред с помощью неоднородного магнитного поля, создаваемого комбинированной системой магнитов. Это открывает перспективы для создания регулируемых дозаторов и систем получения активных капель.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Purpose</title><p>Purpose. To experimentally investigate the velocity and acceleration of water droplets rising in a volume of magnetic fluid under the influence of a non-uniform magnetic field generated by a combined magnet system, which includes a ring permanent magnet placed on top of a solenoid.</p></sec><sec><title>Methods</title><p>Methods. The experiments were conducted using a setup developed by the authors. Data collection was carried out employing standard measuring equipment. The magnetic field strength was recorded using a TPU-01 teslameter equipped with a Hall probe, which ensures high measurement accuracy. The magnetic field topology was numerically simulated using the FEMM finite element package integrated into the interactive MathLab environment. This software platform was utilized for the calculation, subsequent processing, and visualization of the magnetic field distribution generated by the combined magnet system. Image processing of the moving non-magnetic inclusions was performed using specialized software developed by the authors in the NI LabVIEW environment. The theoretical interpretation of the experimental data was based on the principles of condensed matter physics.</p></sec><sec><title>Results</title><p>Results. During the experiments, the dependences of the coordinate, velocity, and acceleration of disperse systems based on magnetic fluid and water on the parameters of the non-uniform magnetic field generated by the combined magnet system were obtained. Computer simulation in FEMM made it possible to evaluate the field topology affecting water droplets in the bulk of the magnetic fluid and to compare the calculated data with experimental results. It was found that the experimental and theoretical results are in good agreement.</p></sec><sec><title>Conclusion</title><p>Conclusion. The obtained results demonstrate the fundamental possibility of controlling the dynamics of magnetic fluid media using the non-uniform magnetic field generated by the combined magnet system. This paves the way for the development of adjustable dispensers and systems for generating active droplets.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>магнитные жидкости</kwd><kwd>дисперсные среды</kwd><kwd>неоднородное магнитное поле</kwd><kwd>комбинированная система магнитов</kwd></kwd-group><kwd-group xml:lang="en"><kwd>magnetic fluids</kwd><kwd>dispersed media</kwd><kwd>inhomogeneous magnetic field</kwd><kwd>combined magnet system</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Статья подготовлена в рамках государственного задания на 2026 год №075-03-2026489</funding-statement><funding-statement xml:lang="en">The article was prepared as part of the state assignment for 2026 No. 075-03-2026-489</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">Ryapolov P., Vasilyeva A., Kalyuzhnaya D., Churaev A., Sokolov E., Shel’deshova E. 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