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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">ntv</journal-id><journal-title-group><journal-title xml:lang="ru">Научно-технический вестник информационных технологий, механики и оптики</journal-title><trans-title-group xml:lang="en"><trans-title>Scientific and Technical Journal of Information Technologies, Mechanics and Optics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-1494</issn><issn pub-type="epub">2500-0373</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2226-1494-2023-23-5-1065-1072</article-id><article-id custom-type="elpub" pub-id-type="custom">ntv-197</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>МАТЕМАТИЧЕСКОЕ И КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MODELING AND SIMULATION</subject></subj-group></article-categories><title-group><article-title>Оценка влияния степени заполнения реакционного тигля железо-олово на процессы тепло- и массопереноса в присутствии электрического тока высокой плотности</article-title><trans-title-group xml:lang="en"><trans-title>Study of heat and mass transfer processes in the Fe-Sn reaction crucible in the presence of high-density electric current</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8970-0809</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фомин</surname><given-names>В. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Fomin</surname><given-names>V. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Фомин Владислав Евгеньевич — аспирант</p><p>sc 57202281009</p><p>Санкт-Петербург, 197101</p></bio><bio xml:lang="en"><p>Vladislav E. Fomin — PhD Student</p><p>sc 57202281009</p><p>Saint Petersburg, 197101</p></bio><email xlink:type="simple">vladdisslav.fomin@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0073-2415</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Новотельнова</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Novotelnova</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Новотельнова Анна Владимировна — кандидат технических наук, доцент</p><p>sc 56436689700</p><p>Санкт-Петербург, 197101</p></bio><bio xml:lang="en"><p>Anna V. Novotelnova — PhD, Associate Professor</p><p>sc 56436689700</p><p>Saint Petersburg, 197101</p></bio><email xlink:type="simple">novotelnova@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3297-3395</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Болкунов</surname><given-names>Г. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bolkunov</surname><given-names>G. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Болкунов Геннадий Александрович — аспирант</p><p>Санкт-Петербург, 197101</p></bio><bio xml:lang="en"><p>Gennady A. Bolkunov — PhD Student</p><p>Saint Petersburg, 197101</p></bio><email xlink:type="simple">genabolkun@gmail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9258-2551</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бочканов</surname><given-names>Ф. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Bochkanov</surname><given-names>F. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бочканов Федор Юрьевич — младший научный сотрудник</p><p>Москва, 119049</p></bio><bio xml:lang="en"><p>Fedor Yu. Bochkanov — Junior Researcher</p><p>Moscow, 119049</p></bio><email xlink:type="simple">Bochkanov_fy@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8686-2303</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Карпенков</surname><given-names>Д.. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Karpenkov</surname><given-names>D. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Карпенков Дмитрий Юрьевич — кандидат физико-математических наук, старший научный сотрудник</p><p>sc 36918372200</p><p>Москва, 119049; Москва, 119991</p></bio><bio xml:lang="en"><p>Dmitry Yu. Karpenkov — PhD (Physics &amp; Mathematics), Senior Researcher</p><p>sc 36918372200</p><p>Moscow, 119049; Moscow, 119991</p></bio><email xlink:type="simple">karpenkov_d_y@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Университет ИТМО</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ITMO University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Национальный исследовательский технологический университет «МИСиС»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National University of Science and Technology “MISIS”</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Национальный исследовательский технологический университет «МИСиС» ; Московский государственный университет имени М.В. Ломоносова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National University of Science and Technology “MISIS” ; Lomonosov Moscow State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>14</day><month>12</month><year>2024</year></pub-date><volume>23</volume><issue>5</issue><fpage>1065</fpage><lpage>1072</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Фомин В.Е., Новотельнова А.В., Болкунов Г.А., Бочканов Ф.Ю., Карпенков Д.Ю., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Фомин В.Е., Новотельнова А.В., Болкунов Г.А., Бочканов Ф.Ю., Карпенков Д.Ю.</copyright-holder><copyright-holder xml:lang="en">Fomin V.E., Novotelnova A.V., Bolkunov G.A., Bochkanov F.Y., Karpenkov D.Y.</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://ntv.elpub.ru/jour/article/view/197">https://ntv.elpub.ru/jour/article/view/197</self-uri><abstract><p>Введение. При создании новых магнитоупорядоченных фаз материалов используются технологии твердотельного синтеза в реакционных тиглях. Конечный результат процесса синтеза в реакционных тиглях обусловлен технологическими факторами, режимом прохождения тока и его плотностью, достигаемой температурой в реакционной зоне, временем воздействия, геометрическими параметрами тигля и реакционной зоны и другими факторами. В работе приведены результаты исследования влияния степени заполнения реакционного объема тигля расплавом олова на процессы тепло- и массопереноса при его электротермической обработке. Метод. Предложена модель, описывающая диффузионные процессы в реакционной зоне в ходе синтеза интерметаллидов железа и олова при электротермическом воздействии. Исследование процесса диффузии в реакционных тиглях системы железо-олово выполнено методом конечных элементов в программной среде Comsol Multiphysics. Основные результаты. Показано, что снижение степени заполнения реакционного тигля компонентами синтеза приводит к изменению распределения плотности тока и понижению температуры в реакционной зоне, что влияет на процессы массопереноса. Обсуждение. Результаты работы могут быть использованы при анализе экспериментальных данных по получению интерметаллидов методом реакционного синтеза и определении необходимых технологических параметров для синтеза новых материалов.</p></abstract><trans-abstract xml:lang="en"><p>In the search for new magnetically ordered phases of materials, solid-state synthesis technologies in reaction crucibles are used. The final result of the synthesis process in reaction crucibles is conditioned, in particular, by technological factors, the mode of current flow and its density, the achieved temperature in the reaction zone, exposure time, geometrical parameters of the crucible and the reaction zone, etc. The paper presents the results of influence investigation of the reaction volume filling degree with tin melt on the processes of heat and mass transfer during its electrothermal treatment. A model describing diffusion processes in the reaction zone during the synthesis of iron and tin intermetallides under electrothermal treatment has been proposed. The diffusion process in the reaction crucibles of the iron-tin system was investigated by the finite element method in the Comsol Multiphysics software environment. It is shown that the decrease in the degree of filling of the reaction crucible with synthesis components leads to a change in the distribution of current density and a decrease in the temperature in the reaction zone, which affects the mass transfer processes. The results of the work can be used in the analysis of experimental data on the production of intermetallides by reaction synthesis and determination of the necessary technological parameters for the synthesis of new materials.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>компьютерное моделирование</kwd><kwd>метод конечных элементов</kwd><kwd>электродиффузия</kwd><kwd>теплоперенос</kwd><kwd>массоперенос</kwd></kwd-group><kwd-group xml:lang="en"><kwd>computer simulation</kwd><kwd>finite element method</kwd><kwd>electrodiffusion</kwd><kwd>heat transfer</kwd><kwd>mass transfer</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Bell L.E. Cooling, heating, generating power, and recovering waste heat with thermoelectric systems // Science. 2008. V. 321. N 5895. P. 1457–1461. https://doi.org/10.1126/science.1158899</mixed-citation><mixed-citation xml:lang="en">Bell L.E. 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