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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.31897/PMI.2021.1.10</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-14123</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/14123</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Металлургия и обогащение</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Metallurgy and concentration</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Dynamic simulation of industrial-scale gibbsite crystallization circuit</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Динамическое моделирование промышленного цикла кристаллизации гиббсита</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Golubev</surname>
            <given-names>Vladimir O.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Голубев</surname>
              <given-names>В. О.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Golubev</surname>
              <given-names>Vladimir O.</given-names>
            </name>
          </name-alternatives>
          <email>Vladimir.Golubev2@rusal.com</email>
          <contrib-id contrib-id-type="orcid">0000-0003-0319-4536</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">РУСАЛ Инженерно-технологический центр (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">RUSAL Engineering &amp; Research Center (St. Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Litvinova</surname>
            <given-names>Tatyana E.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Литвинова</surname>
              <given-names>Т. Е.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Litvinova</surname>
              <given-names>Tatyana E.</given-names>
            </name>
          </name-alternatives>
          <email>viritsa@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-0133-3400</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Санкт-Петербургский горный университет (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Saint Petersburg Mining University (Saint-Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2021-04-26">
        <day>26</day>
        <month>04</month>
        <year>2021</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2021</year>
      </pub-date>
      <volume>247</volume>
      <fpage>88</fpage>
      <lpage>101</lpage>
      <history>
        <date date-type="received" iso-8601-date="2020-10-22">
          <day>22</day>
          <month>10</month>
          <year>2020</year>
        </date>
        <date date-type="accepted" iso-8601-date="2021-03-02">
          <day>02</day>
          <month>03</month>
          <year>2021</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2021-04-26">
          <day>26</day>
          <month>04</month>
          <year>2021</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2021 В. О. Голубев, Т. Е. Литвинова</copyright-statement>
        <copyright-statement xml:lang="en">© 2021 Vladimir O. Golubev, Tatyana E. Litvinova</copyright-statement>
        <copyright-year>2021</copyright-year>
        <copyright-holder xml:lang="ru">В. О. Голубев, Т. Е. Литвинова</copyright-holder>
        <copyright-holder xml:lang="en">Vladimir O. Golubev, Tatyana E. Litvinova</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/14123">https://pmi.spmi.ru/pmi/article/view/14123</self-uri>
      <abstract xml:lang="ru">
        <p>Модель популяционного баланса критически важна для улучшения способа массовой кристаллизации гидроксида алюминия и повышения качества управления промышленными нитками декомпозиции. В работе представлена обновленная модель популяционного баланса, которая может использоваться для моделирования декомпозиции в промышленном масштабе. Процессы рождения с распространением и разрушением частиц рассмотрены в качестве неотъемлемых составляющих декомпозиции наряду с вторичным зародышеобразованием, ростом и агломерацией частиц. Принципиальным отличием предложенной системы уравнений стала возможность воспроизведения ею колебательного процесса, возникающего в циклах декомпозиции в результате циклического изменения качества затравочной поверхности. Показана возможность возникновения в такой системе автоколебаний без внешнего воздействия. Улучшенная модель настроена и проверена с помощью архивных промышленных данных. Продемонстрировано точное совпадение рассчитанной динамики изменения фракционного состава гидроксида алюминия с практическими данными при моделировании промышленного цикла декомпозиции с оборотом затравки.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>Population balance model is crucial for improving the method of aluminum hydroxide massive crystallization and enhancing the quality of control over industrial precipitation trains. This paper presents the updated population balance model, which can be used for simulation of industrial-scale precipitation. Processes of birth-and-spread and particle breakage are considered integral parts of the precipitation process along with secondary nucleation, growth and agglomeration of particles. The conceptual difference of the proposed system of equations is its ability to reproduce the oscillatory process that occurs in precipitation circuits as a result of cyclic changes in the quality of the seed surface. It is demonstrated that self-oscillations can occur in the system without any external influence. The updated model is adjusted and verified using historical industrial data. The simulation of seed-recycle precipitation circuit showed an exact correspondence between the calculated dynamic pattern of changes in particle size distribution of aluminum hydroxide and the actual data.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>гидроксид алюминия</kwd>
        <kwd>кристаллизация</kwd>
        <kwd>агломерация</kwd>
        <kwd>зародышеобразование</kwd>
        <kwd>рождение с распространением</kwd>
        <kwd>моделирование</kwd>
        <kwd>осцилляция</kwd>
        <kwd>масштабирование</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>aluminum hydroxide</kwd>
        <kwd>crystallization</kwd>
        <kwd>agglomeration</kwd>
        <kwd>nucleation</kwd>
        <kwd>spreading birth</kwd>
        <kwd>modeling</kwd>
        <kwd>oscillation</kwd>
        <kwd>birth-and-spread</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
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