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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">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18384/2949-5067-2025-1-6-16</article-id><article-id custom-type="elpub" pub-id-type="custom">phmath-653</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>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Эффективное снижение температурной неравномерности в оболочечных лопатках турбин</article-title><trans-title-group xml:lang="en"><trans-title>Effective reduction of temperature unevenness in turbine shell blades</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8732-9615</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Андрианов</surname><given-names>И. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Andrianov</surname><given-names>I. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Андрианов Иван Константинович – кандидат технических наук, доцент кафедры «Авиастроение» </p><p>г. Комсомольск-на-Амуре</p></bio><bio xml:lang="en"><p>Ivan K. Andrianov – Cand. Sci. (Engineering), Assoc. Prof., Department of Aircraft Engineering</p><p>Komsomolsk-on-Amur</p></bio><email xlink:type="simple">ivan_andrianov_90@mail.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/0009-0002-8702-9713</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чепурнова</surname><given-names>Е. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Chepurnova</surname><given-names>E. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чепурнова Елена Константиновна – младший научный сотрудник отдела организации и сопровождения научной и инновационной деятельности</p><p>г. Комсомольск-на-Амуре</p></bio><bio xml:lang="en"><p>Elena K. Chepurnova – Research Assistant, Department of organization and support of scientific and innovative activities</p><p>Komsomolsk-on-Amur</p></bio><email xlink:type="simple">el.chep@bk.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Комсомольский-на-Амуре государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Komsomolsk-na-Amure State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>14</day><month>07</month><year>2025</year></pub-date><volume>0</volume><issue>1</issue><fpage>6</fpage><lpage>16</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Андрианов И.К., Чепурнова Е.К., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Андрианов И.К., Чепурнова Е.К.</copyright-holder><copyright-holder xml:lang="en">Andrianov I.K., Chepurnova E.K.</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.physmathmgou.ru/jour/article/view/653">https://www.physmathmgou.ru/jour/article/view/653</self-uri><abstract><sec><title>Цель</title><p>Цель. Снижение температурной неравномерности в турбинной лопатке оболочечного типа в условиях подвода и отвода тепла.</p></sec><sec><title>Процедура и методы</title><p>Процедура и методы. Проведена математическая постановка задачи о снижении температурной неравномерности оболочки с помощью системы криволинейных каналов теплоотвода. Построение математической модели проводилось с помощью условия неразрывности охлаждающего потока в канале, данных об очаге теплового нагружения, граничных условиях на входе и выходе в канал охлаждения, ограничениях на высоту каналов с применением интерполяционных полиномов.</p></sec><sec><title>Результаты</title><p>Результаты. Рассчитаны переменная высота и траектории каналов теплоотвода при заданном неравномерном температурном поле, позволяющие интенсифицировать охлаждение в наиболее термонагруженной области оболочки.</p><p>Теоретическая и практическая значимость заключается в возможности применения предложенной модели для разработки формы дефлектора с криволинейными каналами для лопаток газотурбинного двигателя с внутренней системой охлаждения.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Aim</title><p>Aim. Reduction of temperature unevenness in a shell-type turbine blade under conditions of heat supply and removal.</p></sec><sec><title>Methodology</title><p>Methodology. The mathematical formulation of the problem of reducing the temperature unevenness of the shell using a system of curved heat sink channels is carried out. The mathematical model was constructed using the condition of continuity of the cooling flow in the channel, data on the source of thermal stress, boundary conditions at the entrance and exit to the cooling channel, restrictions on the height of the channels using interpolation polynomials.</p></sec><sec><title>Results</title><p>Results. The variable height and trajectories of the heat sink channels are calculated for a given uneven temperature field, allowing to intensify cooling in the most thermally loaded area of the shell.</p></sec><sec><title>Research implications</title><p>Research implications. The theoretical and practical significance lies in the possibility of using the proposed model to develop a deflector shape with curved channels for blades of a gas turbine engine with an internal cooling system.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>газовая среда</kwd><kwd>дефлектор</kwd><kwd>канал охлаждения</kwd><kwd>температурная неравномерность</kwd><kwd>теплоотвод</kwd></kwd-group><kwd-group xml:lang="en"><kwd>gas medium</kwd><kwd>deflector</kwd><kwd>cooling channel</kwd><kwd>temperature unevenness</kwd><kwd>heat sink</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">Wang T., Xuan Y., Han X. Investigation on hybrid thermal features of aero-engines from combustor to turbine // International Journal of Heat and Mass Transfer. 2023. Vol. 200. Article No. 123559. 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