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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Fluid Dynamics</journal-id><journal-title-group><journal-title xml:lang="en">Fluid Dynamics</journal-title><trans-title-group xml:lang="ru"><trans-title>Известия Российской академии наук. Механика жидкости и газа</trans-title></trans-title-group></journal-title-group><issn publication-format="print">1024-7084</issn><issn publication-format="electronic">3034-5340</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">691972</article-id><article-id pub-id-type="doi">10.31857/S1024708425030123</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Numerical Study of Flow Structure in an Axisymmetric Channel with Injection of a Radial Jet along the Coanda Surface</article-title><trans-title-group xml:lang="ru"><trans-title>ЧИСЛЕННОЕ ИССЛЕДОВАНИЕ СТРУКТУРЫ ТЕЧЕНИЯ В ОСЕСИММЕТРИЧНОМ КАНАЛЕ ПРИ ВДУВЕ РАДИАЛЬНОЙ СТРУИ ВДОЛЬ ПОВЕРХНОСТИ КОАНДА</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Pakhomov</surname><given-names>M. A</given-names></name><name xml:lang="ru"><surname>Пахомов</surname><given-names>М. А</given-names></name></name-alternatives><email>pma41976@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Skibina</surname><given-names>N. P</given-names></name><name xml:lang="ru"><surname>Скибина</surname><given-names>Н. П</given-names></name></name-alternatives><email>uss.skibina@gmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Terekhov</surname><given-names>V. I</given-names></name><name xml:lang="ru"><surname>Терехов</surname><given-names>В. И</given-names></name></name-alternatives><email>terekhov@itp.nsc.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Institute of Thermophysics SB RAS</institution></aff><aff><institution xml:lang="ru">Институт теплофизики им. С. С. Кутателадзе СО РАН</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-07-15" publication-format="electronic"><day>15</day><month>07</month><year>2025</year></pub-date><issue>3</issue><issue-title xml:lang="en">NO3 (2025)</issue-title><issue-title xml:lang="ru">№3 (2025)</issue-title><fpage>135</fpage><lpage>146</lpage><history><date date-type="received" iso-8601-date="2025-10-04"><day>04</day><month>10</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Российская академия наук</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/" start_date="2025-07-02"/></permissions><self-uri xlink:href="https://journals.eco-vector.com/1024-7084/article/view/691972">https://journals.eco-vector.com/1024-7084/article/view/691972</self-uri><abstract xml:lang="en"><p>The results of numerical study of the flow in a channel with an annular radial jet injected along the Coanda surface are given. To describe the flow of the gas medium, the two-dimensional axisymmetric Reynolds-averaged Navier–Stokes (RANS) equations are used in combination with equations of the semi-empirical − −ω SST turbulence model. The effect of the total pressure and the width of radial jet on the velocity and static pressure distributions is studied and changes in the local structure developed at the sub- and supercritical pressure in the jet are described.</p></abstract><trans-abstract xml:lang="ru"><p>Представлены результаты численного исследования течения в канале при вдуве кольцевой радиальной струи вдоль поверхности Коанда. Использованы двумерные осесимметричные осредненные по Рейнольдсу уравнения Навье–Стокса (RANS) в сочетании с уравнениями полуэмпирической модели турбулентности " –ω" SST. Изучено влияние полного давления и ширины радиальной струи на распределения скорости и статического давления, описаны изменения локальной структуры, возникающие при до- и сверхкритическом давлении в струе.</p></trans-abstract><kwd-group xml:lang="en"><kwd>gas dynamics</kwd><kwd>Coanda effect</kwd><kwd>ejection</kwd><kwd>radial convergent jet</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>газодинамика</kwd><kwd>эффект Коанда</kwd><kwd>эжекция</kwd><kwd>радиальная сходящаяся струя</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Государственное задание ИТ СО РАН (121031800217-8)</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Вулис Л.А., Кашкаров В.П. Теория струи вязкой жидкости. М.: Наука, 1965. 431 c.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Глазнев В.Н., Запрягаев В.И., Усков В.Н., Терехова Н.М., Ерофеев В.К., Григорьев В.В., Кожемякин А.О., Котенок В.А., Омельченко А.В. Струйные и нестационарные течения в газовой динамике. Новосибирск: Изд-во СОРАН, 2000. 200 с.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Wille R., Fernholtz H. Report of the first European mechanics colloquium on the Coanda effect // Journal of Fluid Mechanics. 1965. V. 23. No. 4. P. 801–819. https://doi.org/10.1017/S0022112065001702</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Lubert C.P. Some recent experimental results concerning turbulent Coanda wall jets // 168th Meeting of the Acoustical Society of America. 2014. V. 22. Paper 040004. https://doi.org/10.1121/2.0000040</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Gregory-Smith D.G., Senior P. The effects of base steps and axisymmetry on supersonic jets over Coanda surfaces // International Journal of Heat and Fluid Flow. 1994. V. 15. No. 4. P. 291–298. https://doi.org/10.1016/0142-727X(94)90014-0</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Gregory-Smith D.G., Gilchrist A.R., Senior P. A combined system for measurements of high-speed flow by interferometry, schlieren and shadowgraph // Measurement Science and Technology. 1990. V. 1. P. 419–424. https://doi.org/10.1088/0957-0233/1/5/008</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Gregory-Smith D.G., Gilchrist A.R. The compressible Coanda wall jet — an experimental study of jet structure and breakaway // International Journal of Heat and Fluid Flow. 1987. V. 8. No. 2. P. 156–164. https://doi.org/10.1016/0142-727X(87)90019-1</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Wang Q., Qu F., Zhao Q., Bai J. Numerical study of the hysteresis effect on the supercritical airfoil for the transonic circulation control // Aerospace Science and Technology. 2022. V. 126. Paper 107645. https://doi.org/10.1016/j.ast.2022.107645</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>Dragan V. Numerical investigations of Coanda lift on a double curvature super circulated ramp // International Journal of Civil &amp; Structural Engineering. 2011. V. 2. No. 1. P. 241–248. https://doi.org/10.6088/ijcser.00202010105</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Dragan V. A new mathematical model for high thickness Coanda effect wall jets // Review Air Force Academy. 2013. V. 23. No. 1. P. 23–28.</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Shakouchi T., Fukushima S. Fluidic thrust, propulsion, vector control of supersonic jets by flow entrainment and the Coanda effect // Energies. 2022. V. 15. No. 22. P. 858–861. https://doi.org/10.3390/en15228513</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Gandomkar M., Amini Foroushani J. Experimental and numerical investigation of using Coanda effect for producing underwater propulsion // Modares Mechanical Engineering. 2020. V. 20. No. 3. P. 777–786.</mixed-citation></ref><ref id="B13"><label>13.</label><mixed-citation>El Halal Y., Marques C.H., Rocha L.A., Isoldi L.A., Lemos R.D.L., Fragassa C., dos Santos E.D. Numerical study of turbulent air and water flows in a nozzle based on the Coanda effect // Journal of Marine Science and Engineering. 2019. V. 7. No. 2. Paper 21. https://doi.org/10.3390/jmse7020021</mixed-citation></ref><ref id="B14"><label>14.</label><mixed-citation>Miozzi M., Lalli F., Romano G.P. Experimental investigation of a free-surface turbulent jet with Coanda effect // Experiments in Fluids. 2010. V. 49. P. 341–353. https://doi.org/10.1007/s00348-010-0885-1</mixed-citation></ref><ref id="B15"><label>15.</label><mixed-citation>Соколова И.Н. Экспериментальное исследование пределов реализации течения Коанда // Ученые записки ЦАГИ. 1983. Т. XIV. №4. С. 124–126.</mixed-citation></ref><ref id="B16"><label>16.</label><mixed-citation>Соколова И.Н. Горячие струи Коанда // Ученые записки ЦАГИ. 1990. Т. XXI. №4. С. 100–103.</mixed-citation></ref><ref id="B17"><label>17.</label><mixed-citation>Ганич Г.А., Гущина Н.И., Жулев Ю.Г. Эффект Коанда при выдуве струй из прямоугольных сопл под углом к плоской поверхности // Ученые записки ЦАГИ. 1994. Т. XXV. №3–4. С. 121–125.</mixed-citation></ref><ref id="B18"><label>18.</label><mixed-citation>Жулев Ю.Г., Макаров В.А., Наливайко А.Г. Интенсификация эффекта Коанда с помощью создаваемых в струе продольных вихрей // Ученые записки ЦАГИ. 1997. Т. 28. №1. С. 139–143.</mixed-citation></ref><ref id="B19"><label>19.</label><mixed-citation>Zhou Y., Gu Y., Xue L., Jiao Y., Shi N., Deng S. Research on the control of supersonic jet under different boundary conditions // Journal of Visualization. 2024. V. 27. P. 19–32. https://doi.org/10.1007/s12650-023-00948-w</mixed-citation></ref><ref id="B20"><label>20.</label><mixed-citation>Trancossi M., Dumas A., Vucinic D. Mathematical modeling of Coanda effect // SAE Technical Paper. 2013. Paper 2013-01-2195. https://doi.org/10.4271/2013-01-2195</mixed-citation></ref><ref id="B21"><label>21.</label><mixed-citation>Saha S., Biswas P., Nath S. Bifurcation phenomena for incompressible laminar flow in expansion channel to study Coanda effect // Journal of Interdisciplinary Mathematics. 2020. V. 23. No. 2. P. 493–502. https://doi.org/10.1080/09720502.2020.1731962</mixed-citation></ref><ref id="B22"><label>22.</label><mixed-citation>Trancossi M., Pascoa J. The influence of convective exchanges on Coanda effect // INCAS Bulletin. 2019. V. 11. No. 4. P. 191–202. https://doi.org/10.13111/2066-8201.2019.11.4.17</mixed-citation></ref><ref id="B23"><label>23.</label><mixed-citation>Matsuo S., Setoguchi T., Kudo T., Yu S. Study on the characteristics of supersonic Coanda jet // Journal of Thermal Science. 1998. V. 7. No. 3. P. 165–175. https://doi.org/10.1007/s11630-998-0012-2</mixed-citation></ref><ref id="B24"><label>24.</label><mixed-citation>Kim H., Raghunathan S., Setoguchi T., Matsuo S. Experimental and numerical studies of supersonic Coanda wall jets // Proc. 38th Aerospace Sciences Meeting and Exhibit. 2000. Paper 0814. https://doi.org/10.2514/6.2000-814</mixed-citation></ref><ref id="B25"><label>25.</label><mixed-citation>Kim H.D., Rajesh G., Setoguchi T., Matsuo S. Optimization study of a Coanda ejector // Journal of Thermal Science. 2006. V. 15. No. 4. P. 331–336. https://doi.org/10.1007/s11630-006-0331-2</mixed-citation></ref><ref id="B26"><label>26.</label><mixed-citation>Dumitrache A., Frunzulica F., Ionescu T. Coanda effect on the flows through ejectors and channels // Scientific research and education in the Air Force. 2018. V. 20. P. 161–174. https://doi.org/10.19062/2247-3173.2018.20.21</mixed-citation></ref><ref id="B27"><label>27.</label><mixed-citation>Dumitrache A., Frunzulica F., Ionescu T.C. Mathematical modelling and numerical investigations on the Coanda effect // Nonlinearity, Bifurcation and Chaos—theory and Applications. 2012. P. 101–132. https://doi.org/10.5772/50403</mixed-citation></ref><ref id="B28"><label>28.</label><mixed-citation>Киселев С.П., Киселев В.П., Зайковский В.Н. О механизме автоколебаний сверхзвуковой радиальной струи, истекающей в затопленное пространство // Прикладная механика и техническая физика. 2016. Т. 57. №2. С. 53–63.</mixed-citation></ref><ref id="B29"><label>29.</label><mixed-citation>Косарев В.Ф., Клинков С.В., Зайковский В.Н., Кундасев С.Г. Газодинамика сверхзвуковой радиальной струи. Часть I // Теплофизика и аэромеханика. 2015. Т. 22. №6. С. 693–703.</mixed-citation></ref><ref id="B30"><label>30.</label><mixed-citation>Ameri M., Dybbs A. Coanda ejector: why it works // Proc. 5th Int. Conference on Laser Anemometry: Advances and Applications. 1993. V. 2052. P. 289–296.</mixed-citation></ref><ref id="B31"><label>31.</label><mixed-citation>Ameri M. An experimental and theoretical study of Coanda ejectors: PhD Thesis. 1993. 168 p.</mixed-citation></ref><ref id="B32"><label>32.</label><mixed-citation>Куснер Ю.С., Приходько В.Г., Ермолов В.И. Структура и откачивающие свойства внутренней части кольцевой сверхзвуковой струи // Журнал технической физики. 1985. Т. 55. №1. С. 186–195.</mixed-citation></ref><ref id="B33"><label>33.</label><mixed-citation>Зеленецкий В.А., Терехов В.И. Эжектор для проветривания горных выработок. Патент РФ №23118119. 27.02.2008. Бюл. №6.</mixed-citation></ref><ref id="B34"><label>34.</label><mixed-citation>Абрамович Г.Н. Прикладная газовая динамика. М.: Наука, 1991. 600 с.</mixed-citation></ref><ref id="B35"><label>35.</label><mixed-citation>Menter F.R. Two-equation eddy-viscosity turbulence models for engineering applications // AIAA J. 1994. V. 32. №8. P. 1598–1605. https://doi.org/10.2514/3.12149</mixed-citation></ref><ref id="B36"><label>36.</label><mixed-citation>Frunzulica F., Dumitrache A., Preotu O., Dumitrescu H. Control of two-dimensional turbulent wall jet on a Coanda surface // PAMM. 2011. V. 11. No. 1. P. 651–652. https://doi.org/10.1002/pamm.201110315</mixed-citation></ref><ref id="B37"><label>37.</label><mixed-citation>Gross A., Fasel H. RANS, URANS, and LES of Coanda wall jet flows //Proc. 36th AIAA Fluid Dynamics Conference and Exhibit. 2006. Paper 3371. https://doi.org/10.2514/6.2006-3371</mixed-citation></ref><ref id="B38"><label>38.</label><mixed-citation>ANSYS FLUENT 12.1 Theory guide, Solver Theory. ANSYS Inc., 2010.</mixed-citation></ref><ref id="B39"><label>39.</label><mixed-citation>Абрамович Г.Н., Гиршович Т.А., Крашенников С.Ю., Секундов А.Н., Смирнова И.П. Теория турбулентных струй. М.: Наука, 1984. 716 с.</mixed-citation></ref><ref id="B40"><label>40.</label><mixed-citation>Sierra J., Ardila J., Vélez S., Maya D., Hincapié D. Simulation analysis of a Coanda — effect ejector using CFD // Tecciencia. 2017. V. 12. No. 22. P. 17–25. https://doi.org/10.18180/tecciencia.2017.22.3</mixed-citation></ref><ref id="B41"><label>41.</label><mixed-citation>Даньков Б.Н., Дубень А.П., Козубская Т.К. Анализ автоколебательных процессов в каверне с открытым типом течения на основе данных вихреразрешающих расчетов // Изв. РАН. Механика жидкости и газа. 2023. №4. C. 156–166. https://doi.org/10.31857/S1024708422600774</mixed-citation></ref><ref id="B42"><label>42.</label><mixed-citation>Dunaevich L., Greenblatt D. Stability and transition on a Coanda cylinder // Physics of Fluids. 2020. V. 32. Paper 084106. https://doi.org/10.1063/5.0013534</mixed-citation></ref></ref-list></back></article>
