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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">vmait</journal-id><journal-title-group><journal-title xml:lang="ru">Computational Mathematics and Information Technologies</journal-title><trans-title-group xml:lang="en"><trans-title>Computational Mathematics and Information Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2587-8999</issn><publisher><publisher-name>Донской государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.23947/2587-8999-2018-2-2-106-120</article-id><article-id custom-type="elpub" pub-id-type="custom">vmait-73</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Математическая модель газодинамических и тепловых процессов в паровой турбине</article-title><trans-title-group xml:lang="en"><trans-title>Mathematical model of gas-dynamic and thermal processes in a steam turbine</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5875-1523</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сухинов</surname><given-names>Александр Иванович</given-names></name><name name-style="western" xml:lang="en"><surname>Sukhinov</surname><given-names>Alexander Ivanovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сухинов Александр Иванович, Донской государственный технический университет (344000 Ростов-на-Дону, пл. Гагарина, д. 1), доктор физико-математических наук, профессор</p></bio><bio xml:lang="en"><p>Sukhinov Alexander Ivanovich, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), Doctor of Science in Physics and Maths, Professor</p></bio><email xlink:type="simple">sukhinov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8323-6005</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чистяков</surname><given-names>Александр Евгеньевич</given-names></name><name name-style="western" xml:lang="en"><surname>Chistyakov</surname><given-names>Alexander Evgenievich</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чистяков Александр Евгеньевич, Донской государственный технический университет (344000 Ростов-на-Дону, пл. Гагарина, д. 1), доктор физико-математических наук, доцент</p></bio><bio xml:lang="en"><p>Chistyakov Alexander Evgenievich, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), Doctor of Science in Physics and Maths, Associate professor</p></bio><email xlink:type="simple">cheese_05@mail.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>Ефимов</surname><given-names>Николай Николаевич</given-names></name><name name-style="western" xml:lang="en"><surname>Yefimov</surname><given-names>Nikolay Nikolayevich</given-names></name></name-alternatives><bio xml:lang="ru"><p>Ефимов Николай Николаевич, Федеральное государственное бюджетное образовательное учреждение высшего образования «Южно-Российский государственный политехнический университет (НПИ) имени М.И. Платова» (346428, Ростовская обл., г. Новочеркасск, ул. Просвещения, 132), доктор технических наук, профессор</p></bio><bio xml:lang="en"><p>Yefimov Nikolay Nikolayevich, Federal State Budget Educational Institution of Higher Education Platov South-Russian State Polytechnic University (NPI) (132, Prosveshcheniya, Novocherkassk, Rostov Region, Russian Federation), Doctor of technical science, Associate professor</p></bio><email xlink:type="simple">efimov@novoch.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Балтян</surname><given-names>Василий Николаевич</given-names></name><name name-style="western" xml:lang="en"><surname>Baltan</surname><given-names>Vasily Nikolaevich</given-names></name></name-alternatives><bio xml:lang="ru"><p>Балтян Василий Николаевич, Федеральное государственное бюджетное образовательное учреждение высшего образования «Южно-Российский государственный политехнический университет (НПИ) имени М.И. Платова» (346428, Ростовская обл., г. Новочеркасск, ул. Просвещения, 132), доктор технических наук, профессор</p></bio><bio xml:lang="en"><p>Baltan Vasily Nikolaevich, Federal State Budget Educational Institution of Higher Education Platov South-Russian State Polytechnic University (NPI) (132, Prosveshcheniya, Novocherkassk, Rostov Region, Russian Federation), Doctor of technical science, Associate professor</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Донской государственный технический университет &#13;
(344000 Ростов-на-Дону, пл. Гагарина, д. 1)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Don State Technical University &#13;
(1st Gagarin Square, Rostov-on-Don, Russian Federation)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Федеральное государственное бюджетное образовательное учреждение высшего образования «Южно-Российский государственный политехнический университет (НПИ) имени М.И. Платова» &#13;
(346428, Ростовская обл., г. Новочеркасск, ул. Просвещения, 132)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Federal State Budget Educational Institution of Higher Education Platov South-Russian State Polytechnic University (NPI) &#13;
(132, Prosveshcheniya, Novocherkassk, Rostov Region, Russian Federation)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>28</day><month>03</month><year>2023</year></pub-date><volume>2</volume><issue>2</issue><elocation-id>73</elocation-id><permissions><copyright-statement>Copyright &amp;#x00A9; Сухинов А.И., Чистяков А.Е., Ефимов Н.Н., Балтян В.Н., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Сухинов А.И., Чистяков А.Е., Ефимов Н.Н., Балтян В.Н.</copyright-holder><copyright-holder xml:lang="en">Sukhinov A.I., Chistyakov A.E., Yefimov N.N., Baltan V.N.</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://www.cmit-journal.ru/jour/article/view/73">https://www.cmit-journal.ru/jour/article/view/73</self-uri><abstract><p>В работе представлен расчет аэродинамических процессов в паровой турбине с использованием современных информационных технологий и вычислительных методов повышения точности расчетов. Практическая значимость работы заключается в следующем: разработана и реализована модель аэродинамических процессов в паровой турбине, определены пределы и перспективы предложенной математической модели. Аэродинамические процессы в турбине характеризуются неравномерностью паровых и тепловых потоков, что существенно влияет на надежность и эффективность работы турбины. Расчет выполнен с учетом сложной геометрии турбины и может быть применен к любой турбине аналогичной конструкции с незначительными изменениями.</p></abstract><trans-abstract xml:lang="en"><p>The paper covers the calculation of aerodynamic processes in a steam turbine using modern information technology and computational methods for improving the calculation accuracy. The practical significance of the paper is the next: the model of aerodynamic processes in the steam turbine is developed and implemented; limits and prospects of the proposed mathematical model is defined. Aerodynamic processes in the turbine are characterized by uneven steam and heat flows, which significantly affect the reliability and efficiency of the turbine. The calculation was performed taking into account the complex geometry of the turbine and can be applied to any turbine of similar design with minor changes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математическая модель</kwd><kwd>аэродинамика</kwd><kwd>паровая турбина</kwd><kwd>вычислительные эксперименты</kwd><kwd>паровые и тепловые потоки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical model</kwd><kwd>aerodynamics</kwd><kwd>steam turbine</kwd><kwd>computational experiments</kwd><kwd>steam and heat flows</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена в рамках соглашения с Министерством образования и науки Российской Федерации. № 14.577.21.0260 о предоставлении субсидий с 26.09.2017 года по Федеральной целевой программе «Научные исследования и разработки по приоритетным направлениям развития научно-технологического комплекса России на 2014-2020 годы».</funding-statement><funding-statement xml:lang="en">The paper is carried out within the framework of the agreement with the Ministry of education and science of the Russian Federation No. № 14.577.21.0260 on the provision of subsidies from 26.09.2017, the Federal target program «Research and development in priority areas of the scientific and technological complex of Russia for 2014-2020».</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">Samarsky A.A., Nikolaev E.S. Methods of solving grid equations. – M.: Science, 1978. – 588 p.</mixed-citation><mixed-citation xml:lang="en">Samarsky A.A., Nikolaev E.S. Methods of solving grid equations. – M.: Science, 1978. – 588 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Chistyakov A.E. Adaptive modified alternating triangular iterative method for solving grid equations with non-selfadjoint operator // Mathematical modeling. – 2012. – Vol. 24, № 1. – pp. 3-20.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Chistyakov A.E. Adaptive modified alternating triangular iterative method for solving grid equations with non-selfadjoint operator // Mathematical modeling. – 2012. – Vol. 24, № 1. – pp. 3-20.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Konovalov A.N. The method of steepest descent with adaptive alternately-triangular preamplification // Differential equations. – 2004. – Vol. 40, № 7. – pp. 953.</mixed-citation><mixed-citation xml:lang="en">Konovalov A.N. The method of steepest descent with adaptive alternately-triangular preamplification // Differential equations. – 2004. – Vol. 40, № 7. – pp. 953.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Konovalov A.N. The theory of alternating-triangular iterative method // Siberian mathematical journal. – 2002. – Vol. 43, № 3. – pp. 552.</mixed-citation><mixed-citation xml:lang="en">Konovalov A.N. The theory of alternating-triangular iterative method // Siberian mathematical journal. – 2002. – Vol. 43, № 3. – pp. 552.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Chistyakov A.E., Shishenya A.V. Error Estimate of the solution of the diffusion equation on the basis of the schemes with weights // Mathematical modeling. – 2013. – Vol. 25, № 11. – pp. 53-64.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Chistyakov A.E., Shishenya A.V. Error Estimate of the solution of the diffusion equation on the basis of the schemes with weights // Mathematical modeling. – 2013. – Vol. 25, № 11. – pp. 53-64.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Chistyakov A.E., Fomenko N.A. Methods of constructing difference schemes for the problem of diffusion-convection-reaction, taking into account the occupancy level of the control cells // Izvestiya SFedU engineering sciences. – 2013. № 4. – pp. 87-98.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Chistyakov A.E., Fomenko N.A. Methods of constructing difference schemes for the problem of diffusion-convection-reaction, taking into account the occupancy level of the control cells // Izvestiya SFedU engineering sciences. – 2013. № 4. – pp. 87-98.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Samarskiy A.A. Theory of difference schemes. M. Nauka. 1989.</mixed-citation><mixed-citation xml:lang="en">Samarskiy A.A. Theory of difference schemes. M. Nauka. 1989.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Samarskiy A.A., Gulin A.V. Numerical methods. M.: Nauka. 1989.</mixed-citation><mixed-citation xml:lang="en">Samarskiy A.A., Gulin A.V. Numerical methods. M.: Nauka. 1989.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Beklemishev K.A., Petrov I.B., Favorsky A.V. Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method // Mathematical modeling. 2013. – Vol. 25, № 11. – pp. 3-16.</mixed-citation><mixed-citation xml:lang="en">Beklemishev K.A., Petrov I.B., Favorsky A.V. Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method // Mathematical modeling. 2013. – Vol. 25, № 11. – pp. 3-16.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Petrov I.B., Favorsky A.V., Sannikov A.V., Kvasov I.E. Grid-characteristic method using high order interpolation on tetrahedral hierarchical meshes with a multiple time step // Mathematical modeling. – 2013. – Vol. 25, № 2. – pp. 42-52.</mixed-citation><mixed-citation xml:lang="en">Petrov I.B., Favorsky A.V., Sannikov A.V., Kvasov I.E. Grid-characteristic method using high order interpolation on tetrahedral hierarchical meshes with a multiple time step // Mathematical modeling. – 2013. – Vol. 25, № 2. – pp. 42-52.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Chistyakov A.E., Semenyakina A.A., Nikitina A.V. Parallel realization of the tasks of the transport of substances and recovery of the bottom surface on the basis of schemes of high order of accuracy // Computational methods and programming: new computing technology. 2015. – Vol. 16, № 2. – pp. 256-267.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Chistyakov A.E., Semenyakina A.A., Nikitina A.V. Parallel realization of the tasks of the transport of substances and recovery of the bottom surface on the basis of schemes of high order of accuracy // Computational methods and programming: new computing technology. 2015. – Vol. 16, № 2. – pp. 256-267.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Nikitina A.V., Semenyakina A.A., Chistyakov A.E., Protsenko E.A., Yakovenko I.V. Application of schemes of increased order of accuracy for solving problems of biological kinetics in a multiprocessor computer system // Fundamental research. – 2015. № 12-3. – pp. 500-504.</mixed-citation><mixed-citation xml:lang="en">Nikitina A.V., Semenyakina A.A., Chistyakov A.E., Protsenko E.A., Yakovenko I.V. Application of schemes of increased order of accuracy for solving problems of biological kinetics in a multiprocessor computer system // Fundamental research. – 2015. № 12-3. – pp. 500-504.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Chistyakov A.E., Hachunts D.S., Nikitina A.V., Protsenko E.A., Kuznetsova I.Yu. Parallel Library of iterative methods of the SLAE solvers for problem of convection-diffusion-based decomposition in one spatial direction // Modern problems of science and education. – 2015. – № 1-1. – pp. 1786.</mixed-citation><mixed-citation xml:lang="en">Chistyakov A.E., Hachunts D.S., Nikitina A.V., Protsenko E.A., Kuznetsova I.Yu. Parallel Library of iterative methods of the SLAE solvers for problem of convection-diffusion-based decomposition in one spatial direction // Modern problems of science and education. – 2015. – № 1-1. – pp. 1786.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Nikitina A.V., Semenyakina A.A., Protsenko E.A. Complex programs and algorithms to calculate sediment transport and multi-component suspensions on a multiprocessor computer system // Engineering journal of Don. – 2015. – Vol. 38, № 4 (38). – pp. 52.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Nikitina A.V., Semenyakina A.A., Protsenko E.A. Complex programs and algorithms to calculate sediment transport and multi-component suspensions on a multiprocessor computer system // Engineering journal of Don. – 2015. – Vol. 38, № 4 (38). – pp. 52.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Nikitina A.V., Abramenko Y.A., Chistyakov A.E.: Mathematical modeling of oil spill in shallow waters // Informatics, computer science and engineering education. – 2015. – № 3 (23). – pp. 49-55.</mixed-citation><mixed-citation xml:lang="en">Nikitina A.V., Abramenko Y.A., Chistyakov A.E.: Mathematical modeling of oil spill in shallow waters // Informatics, computer science and engineering education. – 2015. – № 3 (23). – pp. 49-55.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Chistyakov A.E., Nikitina A.V., Ougolnitsky G.A., Puchkin V.M., Semenov I.S., Sukhinov A.I., Usov A.B. A differential game model of preventing fish kills in shallow waterbodies // Game Theory and Applications. – 2015. – Vol. 17. – pp. 37-48.</mixed-citation><mixed-citation xml:lang="en">Chistyakov A.E., Nikitina A.V., Ougolnitsky G.A., Puchkin V.M., Semenov I.S., Sukhinov A.I., Usov A.B. A differential game model of preventing fish kills in shallow waterbodies // Game Theory and Applications. – 2015. – Vol. 17. – pp. 37-48.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Nikitina A.V., Semenyakina A.A., Chistyakov A.E. А set of models, explicit regularized schemes of high order of accuracy and programs for predictive modeling of consequences of emergency oil spill // Parallel computational technologies (PCT '2016) proceedings of the international scientific conference. – 2016. – pp. 308-319.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Nikitina A.V., Semenyakina A.A., Chistyakov A.E. А set of models, explicit regularized schemes of high order of accuracy and programs for predictive modeling of consequences of emergency oil spill // Parallel computational technologies (PCT '2016) proceedings of the international scientific conference. – 2016. – pp. 308-319.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Chistyakov A.E., Nikitina A.V., Sumbaev V.V. Solution of the Poisson problem based on the multigrid method // Herald of computer and information technologies. – 2016. – № 8 (146). – pp. 3-7.</mixed-citation><mixed-citation xml:lang="en">Chistyakov A.E., Nikitina A.V., Sumbaev V.V. Solution of the Poisson problem based on the multigrid method // Herald of computer and information technologies. – 2016. – № 8 (146). – pp. 3-7.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Nikitina A.V., Semenyakina A.A., Chistyakov A.E. Parallel implementation of the tasks of diffusion-convection-based schemes of high order of accuracy // Herald of computer and information technologies. – 2016. № 7 (145). – pp. 3-8.</mixed-citation><mixed-citation xml:lang="en">Nikitina A.V., Semenyakina A.A., Chistyakov A.E. Parallel implementation of the tasks of diffusion-convection-based schemes of high order of accuracy // Herald of computer and information technologies. – 2016. № 7 (145). – pp. 3-8.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Chistyakov A.E., Semenyakina A.A., Nikitina A.V. Numerical modeling of an ecological condition of the Sea of Azov with application of schemes of the raised accuracy order on the multiprocessor computing system // Computer researches and modeling. – 2016. – Vol. 8, № 1. –pp. 151-168.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Chistyakov A.E., Semenyakina A.A., Nikitina A.V. Numerical modeling of an ecological condition of the Sea of Azov with application of schemes of the raised accuracy order on the multiprocessor computing system // Computer researches and modeling. – 2016. – Vol. 8, № 1. –pp. 151-168.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Nikitina A.V., Semenyakina A.A., Chistyakov A.E. Complex of models, explicit regularized schemes of high-order of accuracy and applications for predictive modeling of after-math of emergency oil spill/CEUR Workshop Proceedings. – Vol. 1576. – pp. 308-319.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Nikitina A.V., Semenyakina A.A., Chistyakov A.E. Complex of models, explicit regularized schemes of high-order of accuracy and applications for predictive modeling of after-math of emergency oil spill/CEUR Workshop Proceedings. – Vol. 1576. – pp. 308-319.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Nikitina A.V., Sukhinov A.I. Ougolnitsky G.A., Usov A.B., Chistyakov A.E., Puchkin M.V., Semenov, I.S. Optimal management of sustainable development at the biological rehabilitation of the Azov Sea // Mathematical modeling. – Vol. 28, № 7. – pp. 96-106.</mixed-citation><mixed-citation xml:lang="en">Nikitina A.V., Sukhinov A.I. Ougolnitsky G.A., Usov A.B., Chistyakov A.E., Puchkin M.V., Semenov, I.S. Optimal management of sustainable development at the biological rehabilitation of the Azov Sea // Mathematical modeling. – Vol. 28, № 7. – pp. 96-106.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
