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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">ntv</journal-id><journal-title-group><journal-title xml:lang="ru">Научно-технический вестник информационных технологий, механики и оптики</journal-title><trans-title-group xml:lang="en"><trans-title>Scientific and Technical Journal of Information Technologies, Mechanics and Optics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-1494</issn><issn pub-type="epub">2500-0373</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2226-1494-2024-24-4-620-628</article-id><article-id custom-type="elpub" pub-id-type="custom">ntv-328</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>МАТЕМАТИЧЕСКОЕ И КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MODELING AND SIMULATION</subject></subj-group></article-categories><title-group><article-title>Компьютерное моделирование тепломассообменных процессов при конденсации водяных паров из продуктов сгорания природного газа на поверхности гладких цилиндрических труб</article-title><trans-title-group xml:lang="en"><trans-title>Computer simulation of heat and mass transfer processes during water vapor condensation from natural gas combustion products on smooth cylindrical tubes</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3710-5116</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Брызгунов</surname><given-names>П. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bryzgunov</surname><given-names>P. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Брызгунов Павел Александрович — аспирант</p><p>Москва, 111250</p></bio><bio xml:lang="en"><p>Pavel A. Bryzgunov — PhD Student</p><p>Moscow, 111250</p></bio><email xlink:type="simple">bryzgunovpa@mpei.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7256-0144</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рогалев</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Rogalev</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рогалев Андрей Николаевич — доктор технических наук, доцент, заведующий кафедрой</p><p>Москва, 111250</p></bio><bio xml:lang="en"><p>Andrey N. Rogalev — D.Sc., Associate Professor, Head of Department</p><p>Moscow, 111250</p></bio><email xlink:type="simple">rogalevan@mpei.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8406-7901</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Киндра</surname><given-names>В. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Kindra</surname><given-names>V. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Киндра Владимир Олегович — кандидат технических наук, доцент</p><p>Москва, 111250</p></bio><bio xml:lang="en"><p>Vladimir O. Kindra — PhD, Associate Professor</p><p>Moscow, 111250</p></bio><email xlink:type="simple">kindravo@mpei.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3853-8220</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Комаров</surname><given-names>И. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Komarov</surname><given-names>I. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Комаров Иван Игоревич — доктор технических наук, доцент</p><p>Москва, 111250</p></bio><bio xml:lang="en"><p>Ivan I. Komarov — D.Sc., Associate Professor</p><p>Moscow, 111250</p></bio><email xlink:type="simple">komarovii@mpei.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0554-4026</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Злывко</surname><given-names>О. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Zlyvko</surname><given-names>O. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Злывко Ольга Владимировна — кандидат экономических наук, доцент</p><p>Москва, 111250</p></bio><bio xml:lang="en"><p>Olga V. Zlyvko — PhD (Economy), Associate Professor</p><p>Moscow, 111250</p></bio><email xlink:type="simple">zlyvkoov@mpei.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский университет «МЭИ»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National research University MPEI</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>18</day><month>12</month><year>2024</year></pub-date><volume>24</volume><issue>4</issue><fpage>620</fpage><lpage>628</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Брызгунов П.А., Рогалев А.Н., Киндра В.О., Комаров И.И., Злывко О.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Брызгунов П.А., Рогалев А.Н., Киндра В.О., Комаров И.И., Злывко О.В.</copyright-holder><copyright-holder xml:lang="en">Bryzgunov P.A., Rogalev A.N., Kindra V.O., Komarov I.I., Zlyvko O.V.</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://ntv.elpub.ru/jour/article/view/328">https://ntv.elpub.ru/jour/article/view/328</self-uri><abstract><p>Введение. Представлены результаты численного моделирования тепломассообменных процессов при конденсации водяных паров из продуктов сгорания на пучках гладких горизонтальных цилиндрических труб. Разработана инженерная математическая модель конденсации водяных паров из газопаровой смеси с высоким содержанием неконденсирующихся газов на основе экспериментальных данных. Метод. Предложенная математическая модель включает в себя совместно решаемые уравнения сохранения тепловой энергии, импульса и массы, при этом уравнение сохранения массы учитывает транспорт примесей за счет конвекции, молекулярной и турбулентной диффузии. Смена фаз учитывается в источниковых членах уравнения сохранения массы, предусматривается конденсация в объеме при прохождении смеси через точку росы и локальная поверхностная конденсация на охлаждающих трубках. Для описания конденсации в объеме используется модель «возврата к температуре насыщения», а для поверхностной конденсации разработана алгебраическая эмпирическая модель на основе анализа экспериментальных данных. Преимуществом выбранного подхода является отсутствие необходимости расчета гидродинамики капель и пленок конденсата как отдельной сплошной среды ввиду учета влияния данных факторов на тепломассообмен в экспериментальных коэффициентах, что значительно снижает вычислительную трудоемкость задачи и позволяет проводить инженерные расчеты в сопряженной постановке. Структура разработанной математической модели обеспечивает простую интеграцию с распространенными коммерческими и свободно распространяемыми CFD-кодами. Основные результаты. По экспериментальным данным определен коэффициент разработанной эмпирической модели конденсации. Показано, что при настройке коэффициента по одной базовой точке модель обеспечивает совпадение с экспериментальными данными по другим режимам с отклонением, не превышающим неопределенность эксперимента. С использованием верифицированной модели проведено моделирование участка конденсационного теплоутилизатора для выхлопных газов газотурбинной установки с шахматным пучком гладких труб в сопряженной постановке. Определено численное значение повышения воспринимаемого охлаждающей жидкостью теплового потока за счет утилизации скрытой теплоты конденсации. Обсуждение. Полученные данные моделирования и разработанная модель конденсации водяных паров из продуктов сгорания природного газа могут быть использованы при расчетах и проектировании конденсационных теплоутилизаторов, а также конденсационных водогрейных котлов.</p></abstract><trans-abstract xml:lang="en"><p>The results of numerical simulation of heat and mass transfer processes during the condensation of water vapor from natural gas combustion products on bundles of smooth horizontal cylindrical tubes are presented. An empirical mathematical model of condensation of water vapor from a gas-steam mixture with a high content of non-condensable gases has been developed based on experimental data. The proposed mathematical model includes jointly solvable equations of thermal energy, momentum and mass conservation, while the equation of conservation of mass takes into account the species transport due to convection, molecular and turbulent diffusion. The phase change is taken into account in the source terms of the mass conservation equation; both condensation in the volume as the mixture passes through the dew point and local surface condensation on the cooling tubes are taken into account. To describe condensation in the volume, the return to saturation temperature model is used, and for surface condensation an algebraic empirical model was developed based on the analysis of experimental data. The advantage of the chosen approach is that there is no need to calculate the hydrodynamics of droplets and condensate films as a separate continuous one due to the influence of these factors on heat and mass transfer in the experimental coefficients, which significantly reduces the computational complexity of the problem and allows engineering calculations to be carried out in a coupled formulation. The structure of the developed mathematical model ensures easy integration with common commercial and freely available CFD codes. Based on experimental data, the coefficient of the developed condensation model was determined. It is shown that when adjusting the coefficient using one base point, the model ensures agreement with experimental data for other modes with a deviation not exceeding the experimental error. Using a verified model, a section of a condensation heat exchanger for gas turbine unit exhaust gases with a staggered bundle of smooth pipes in a coupled formulation was simulated, and the numerical value of increasing cooling water heat perception due to the utilization of latent heat of condensation was determined. The obtained modeling data and the developed model of condensation of water vapor from natural gas combustion products can be used in the calculations and design of condensing heat exchangers as well as condensing boilers.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>конденсация водяных паров</kwd><kwd>неконденсирующиеся газы</kwd><kwd>капельная конденсация</kwd><kwd>конденсационные теплоутилизаторы</kwd><kwd>утилизация теплоты выхлопных газов</kwd><kwd>тепломассообменные процессы</kwd><kwd>вычислительная гидродинамика</kwd></kwd-group><kwd-group xml:lang="en"><kwd>condensation of water vapor</kwd><kwd>non-condensable gases</kwd><kwd>drip condensation</kwd><kwd>condensation heat exchangers</kwd><kwd>exhaust heat recovery</kwd><kwd>heat and mass transfer processes</kwd><kwd>computational fluid dynamics</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование проведено в НИУ «МЭИ» при финансовой поддержке Минобрнауки России (государственное задание № FSWF-2023-0014, соглашение № 075-03-2023-383 от 18 января 2023 г.).</funding-statement><funding-statement xml:lang="en">This study conducted by Moscow Power Engineering Institute was financially supported by the Ministry of Science and Higher Education of the Russian Federation (project No. FSWF-2023-0014, contract No. 075-03-2023-383, 2023/18/01).</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">Ionkin I.L., Roslyakov P.V., Luning B. 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