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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">10.17073/0368-0797-2013-11-25-27</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-493</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>ИНЖИНИРИНГ В ЧЕРНОЙ МЕТАЛЛУРГИИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ENGINEERING IN FERROUS METALLURGY</subject></subj-group></article-categories><title-group><article-title>МОДЕЛЬ СВОБОДНОЙ КОНВЕКЦИИ В ВАННЕ АППАРАТА С БАРБОТАЖНЫМ СЛОЕМ ПРИ ЕЕ ПРОДУВКЕ ГАЗОМ ЧЕРЕЗ ФУРМЫ, РАСПОЛОЖЕННЫЕ СБОКУ</article-title><trans-title-group xml:lang="en"><trans-title>MODEL OF FREE CONVECTION IN THE BATH UNIT WITH A BUBBLING LAYER WITH HER BLOWING GAS VIA THE SIDE TUYERES</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>Сборщиков</surname><given-names>Г. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Sborshikov</surname><given-names>G. S.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Вельтищев</surname><given-names>Н. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Veltischev</surname><given-names>N. F.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Володин</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Volodin</surname><given-names>A. M.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Крупенников</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Krupennikov</surname><given-names>S. A.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский технологический университет «МИСиС»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Национальный исследовательский технологический университет «МИСиС»</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Московский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Московский государственный университет</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>ОАО «Газпром Промгаз»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>ОАО «Газпром Промгаз»</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>01</day><month>04</month><year>2015</year></pub-date><volume>56</volume><issue>11</issue><fpage>25</fpage><lpage>27</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сборщиков Г.С., Вельтищев Н.Ф., Володин А.М., Крупенников С.А., 2015</copyright-statement><copyright-year>2015</copyright-year><copyright-holder xml:lang="ru">Сборщиков Г.С., Вельтищев Н.Ф., Володин А.М., Крупенников С.А.</copyright-holder><copyright-holder xml:lang="en">Sborshikov G.S., Veltischev N.F., Volodin A.M., Krupennikov S.A.</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/493">https://fermet.misis.ru/jour/article/view/493</self-uri><abstract><p>Представлена математическая модель свободной конвекции в ванне аппарата с барботажным слоем. Слой рассматривается как псевдогомогенная сплошная среда с переменными физическими свойствами. Система главных уравнений реализована в «неупругой» постановке в пределах допущения Буссинеска. </p></abstract><trans-abstract xml:lang="en"><p>There has been presented a mathematical model of free convection in the bath unit with a bubbling layer. Layer is considered as a pseudo-homogeneous continuous medium with variable physical properties. The main equations of system were implemented in the “inelastic” statement within the Boussinesq assumption. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>математическая модель</kwd><kwd>барботажный слой</kwd><kwd>свободная конвекция</kwd><kwd>неупругая постановка задачи</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical model</kwd><kwd>a bubbling layer</kwd><kwd>free convection</kwd><kwd>inelastic formulation of the problem</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">Сборщиков Г.С., Володин А.М. // Изв. вуз. Черная металлургия. 2009. № 7. С. 55 – 58.</mixed-citation><mixed-citation xml:lang="en">Сборщиков Г.С., Володин А.М. // Изв. вуз. Черная металлургия. 2009. № 7. 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