ntvНаучно-технический вестник информационных технологий, механики и оптикиScientific and Technical Journal of Information Technologies, Mechanics and Optics2226-14942500-0373Университет ИТМО10.17586/2226-1494-2023-23-1-202-209ntv-350Research ArticleМАТЕМАТИЧЕСКОЕ И КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕMODELING AND SIMULATIONМоделирование диффузионных процессов при электротермической обработке реакционных тиглей системы железо–оловоSimulation of diffusion processes during electrothermal treatment of reaction crucibles of the Fe-Sn systemhttps://orcid.org/0000-0002-8970-0809ФоминВ. Е.FominV. E.

Фомин Владислав Евгеньевич - аспирант

Санкт-Петербург, 197101

Vladislav E. Fomin - PhD Student

Saint Petersburg, 197101

vladdisslav.fomin@yandex.ruhttps://orcid.org/0000-0002-9123-8983ТукмаковаА. С.TukmakovaA. S.

Тукмакова Анастасия Сергеевна - кандидат технических наук

Санкт-Петербург, 197101

Anastasiia S. Tukmakova - PhD, Associate Professor

Saint Petersburg, 197101

astukmakova@itmo.ruhttps://orcid.org/0000-0003-3297-3395БолкуновГ. А.BolkunovG. A.

Болкунов Геннадий Александрович - аспирант

Санкт-Петербург, 197101

Gennady A. Bolkunov - PhD Student

Saint Petersburg, 197101

genabolkun@gmail.comhttps://orcid.org/0000-0003-0073-2415НовотельноваА. В.NovotelnovaA. V.

Новотельнова Анна Владимировна - кандидат технических наук, доцент

Санкт-Петербург, 197101

Anna V. Novotelnova - PhD, Associate Professor

Saint Petersburg, 197101

novotelnova@yandex.ruhttps://orcid.org/0000-0001-9258-2551БочкановФ. Ю.BochkanovF. Yu.

Бочканов Федор Юрьевич - младший научный сотрудник

Москва, 119049

Fedor Yu. Bochkanov - Junior Researcher

Moscow, 119049

Bochkanov_fy@mail.ruhttps://orcid.org/0000-0001-8686-2303КарпенковД. Ю.KarpenkovD. Yu.

Карпенков Дмитрий Юрьевич - кандидат физико-математических наук, старший научный сотрудник

Москва, 119049

Москва, 119991

Dmitry Yu. Karpenkov - PhD (Physics & Mathematics); Senior ResearcherResearcher

Moscow, 119049

Moscow, 119991

karpenkov_d_y@mail.ruУниверситет ИТМОРоссияITMO UniversityRussian FederationНациональный исследовательский технологический университет «МИСиС»РоссияNational University of Science and Technology MISISRussian FederationНациональный исследовательский технологический университет «МИСиС»; Московский государственный университет имени М.В. ЛомоносоваРоссияNational University of Science and Technology MISIS; Lomonosov Moscow State UniversityRussian Federation202319122024231202209Copyright © Фомин В.Е., Тукмакова А.С., Болкунов Г.А., Новотельнова А.В., Бочканов Ф.Ю., Карпенков Д.Ю., 20242024Фомин В.Е., Тукмакова А.С., Болкунов Г.А., Новотельнова А.В., Бочканов Ф.Ю., Карпенков Д.Ю.Fomin V.E., Tukmakova A.S., Bolkunov G.A., Novotelnova A.V., Bochkanov F.Y., Karpenkov D.Y.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://ntv.elpub.ru/jour/article/view/350

Предмет исследования. Методами численного моделирования исследована закономерность диффузионных процессов в реакционных тиглях системы железо–олово при их электротермической обработке. Изучено влияние плотности тока и температуры на процессы тепло- и массопереноса в реакционной зоне.Метод. Численное моделирование выполнено методом конечных элементов. Разработанная модель описывает механические, тепловые, электрические и химические процессы при электротермической обработке системы железо–олово в реакционном тигле с учетом распределения компонентов при различных условиях обработки реакционного тигля.Основные результаты. Выполнен сравнительный анализ расчетных данных по диффузии олова в железо в условиях длительного воздействия высоких температур без приложения электрического напряжения и при нагреве реакционной зоны за счет пропускания электрического тока высокой плотности. Получена картина распределения массовых долей компонентов в зависимости от вида воздействия. Определена глубина проникновения взаимодействующих компонентов и выполнена оценка интенсивности протекания массообменных процессов. Установлены закономерности тепломассопереноса в системе железо–олово при изменении начальных параметров процесса. Верификация модели проведена путем сопоставления результатов моделирования с данными натурных экспериментов на контрольных образцах.Практическая значимость. Результаты исследований могут быть использованы при прогнозировании условий получения новых функциональных материалов.

The diffusion processes regularity in the reaction crucibles of the iron-tin system during their electrothermal treatment was studied by the numerical simulation methods. The effect of current density and temperature on the processes of heat and mass transfer in the reaction zone has been studied. Numerical simulation was performed by the finite element method. The developed model includes mechanical, thermal, electrical and chemical processes during the electrothermal treatment of the iron-tin system in the reaction crucible, taking into account the distribution of components under various processing conditions of the reaction crucible. A comparative analysis of the calculated data on the diffusion of tin into iron under conditions of long-term exposure to high temperatures without the application of an electric voltage and when the reaction zone is heated by passing a high-density electric current is performed. A picture of the distribution of mass fractions of components depending on the type of impact is obtained. The penetration depth of the interacting components was determined and the intensity of the mass transfer processes was assessed. The regularities of heat and mass transfer in the system of iron and tin with a change of the process initial parameters are established. The model was verified by comparing the simulation results with the data of full-scale experiments on control samples. The research results can be used to predict the conditions for obtaining new functional materials.

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The authors declare that there are no conflicts of interest present.