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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">blackmet</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений. Черная Металлургия</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya. Ferrous Metallurgy</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-0797</issn><issn pub-type="epub">2410-2091</issn><publisher><publisher-name>National University of Science and Technology "MISIS"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/0368-0797-2022-12-843-850</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2449</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>МЕТАЛЛУРГИЧЕСКИЕ ТЕХНОЛОГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>METALLURGICAL TECHNOLOGIES</subject></subj-group></article-categories><title-group><article-title>Моделирование термогазодинамических параметров нейтральных газовых струй при распространении в полости конвертера</article-title><trans-title-group xml:lang="en"><trans-title>Modeling of thermogasodynamic parameters of neutral gas jets when spreading in converter cavity</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7554-2168</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Протопопов</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Protopopov</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Евгений Валентинович Протопопов, д.т.н., профессор, профессор кафедры металлургии черных металлов</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Evgenii V. Protopopov, Dr. Sci. (Eng.), Prof. of the Chair of Ferrous Metal­lurgy</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">protopopov@sibsiu.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>Думова</surname><given-names>Л. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Dumova</surname><given-names>L. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Любовь Валерьевна Думова, соискатель степени к.т.н. кафедры металлургии черных металлов</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Lyubov’ V. Dumova, Candidates for a Degree of Сand. Sci. (Eng.) of the Chair of Ferrous Metallurgy</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">doumova@bk.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>Чернышева</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Nozdrin</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Наталья Анатольевна Чернышева, доцент кафедры металлургии черных металлов</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Natal’ya A. Chernysheva, Assist. Prof. of the Chair of Ferrous Metallurgy</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">chernysheva_na@rambler.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>Ноздрин</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Chernysheva</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Игорь Викторович Ноздрин, д.т.н., доцент, профессор кафедры металлургии цветных металлов и химической технологии</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Igor’ V. Nozdrin, Dr. Sci. (Eng.), Assist. Prof., Prof. of the Chair of Non-Ferrous Metallurgy and Chemical Engineering</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">kafcmet@sibsiu.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>Сафонов</surname><given-names>С. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Safonov</surname><given-names>S. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Олегович Сафонов, аспирант кафедры металлургии черных металлов</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Sergei O. Safonov, Postgraduate of the Chair of Ferrous Metallurgy</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">sergey.safonov.1950@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Сибирский государственный индустриальный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Siberian State Industrial University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>31</day><month>12</month><year>2022</year></pub-date><volume>65</volume><issue>12</issue><fpage>843</fpage><lpage>850</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Протопопов Е.В., Думова Л.В., Чернышева Н.А., Ноздрин И.В., Сафонов С.О., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Протопопов Е.В., Думова Л.В., Чернышева Н.А., Ноздрин И.В., Сафонов С.О.</copyright-holder><copyright-holder xml:lang="en">Protopopov E.V., Dumova L.V., Nozdrin I.V., Chernysheva N.A., Safonov S.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://fermet.misis.ru/jour/article/view/2449">https://fermet.misis.ru/jour/article/view/2449</self-uri><abstract><p>С учетом волновой структуры течения сверхзвуковой струи, истекающей в рабочее пространство конвертера после выпуска металла, рассмотрены особенности и характеристики процессов распространения нейтральных газовых струй на газодинамическом участке до начала взаимодействия со шлаковым расплавом, в дальнейшем раздуваемым для нанесения огнеупорного гарнисажа на футеровку агрегата. Рассматривается модель расчета присоединенной массы окружающего газа, находящегося в рабочем пространстве конвертера. При постановке задачи учитываются известные данные по газодинамике при формировании и течении струи, которые оказывают влияние на эффективность турбулентного переноса в пограничном слое. В основе схемы расчета лежит гипотеза существования начальной границы, через которую в газовую струю проникает химически активный газ из окружающей среды, а форма предельной границы предполагается цилиндрической с радиусом, равным максимальному радиусу первой бочки нерасчетной струи. Численные расчеты позволяют определить среднемассовую скорость и температуру в произвольном сечении сверхзвуковой нерасчетной струи до внедрения ее в шлаковый расплав. Установлено влияние относительной температуры θ, температуры азота перед соплом Т0 при распространении струи в полости конвертера и расхода азота через сопла V0 на величину присоединенной массы q, осредненные значения скорости Wх и температуры Tх в произвольном сечении x сверхзвуковой нерасчетной струи на газодинамическом участке. Полученная информация может быть использована при разработке систем газопорошковой продувки в агрегатах и сталеразливочных ковшах, систем торкретирования и подачи нейтральных газовых струй при замещении кислородных потоков по ходу продувки и использовании двухярусных фурм.</p></abstract><trans-abstract xml:lang="en"><p>The article considers the features and characteristics of spreading of neutral gas jets in the gas-dynamic section before interaction with the slag melt, which is further inflated to apply a refractory skull to the unit lining. The flow of a supersonic jet into the working space of the converter after tapping has the wave structure. The model for calculation of attached mass of the surrounding gas located in the converter working space is considered. The problem statement takes into account the known data on gas dynamics during the formation and flow of the jet, which affect the efficiency of turbulent transfer in the boundary layer. The calculation scheme is based on the hypothesis of existence of an initial boundary through which a chemically active gas from the environment penetrates into the gas jet, and the shape of the limit boundary is assumed to be cylindrical with a radius equal to the maximum radius of the first barrel of the non-calculated jet. Numerical calculations make it possible to determine the average mass velocity and temperature in an arbitrary section of a supersonic non-calculated jet before its introduction into the slag melt. The authors describe the influence of the relative temperature θ, nitrogen temperature in front of the nozzle T0 during spreading of the jet in the converter cavity, and nitrogen flow through the nozzles Vн on value of the attached mass q, the averaged values of velocity and temperature Wx and Tx in an arbitrary cross-section x of a supersonic non-calculated jet in the gas dynamic section. The information obtained can be used in the development of gas-powder purging systems in aggregates and steel ladles, shotcrete systems and the supply of neutral gas jets when replacing oxygen flows during purging and using two-tier tuyeres.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>шлаковый гарнисаж</kwd><kwd>степень нерасчетности</kwd><kwd>сверхзвуковая струя</kwd><kwd>пограничный слой</kwd><kwd>сопло</kwd><kwd>газовая фаза конвертера</kwd><kwd>среднемассовая скорость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>slag skull</kwd><kwd>degree of non-calculation</kwd><kwd>supersonic jet</kwd><kwd>boundary layer</kwd><kwd>nozzle</kwd><kwd>gas phase of converter</kwd><kwd>average mass velocity</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при поддержке Российского научного фонда, грант № 22-29-20170.</funding-statement><funding-statement xml:lang="en">The research was supported by the Russian Science Foundation, grant No. 22-29-20170.</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">Мокринский А.В., Лаврик А.Н., Соколов В.В., Протопопов Е.В., Чернятевич А.Г. 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