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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">caht</journal-id><journal-title-group><journal-title xml:lang="ru">Научный вестник МГТУ ГА</journal-title><trans-title-group xml:lang="en"><trans-title>Civil Aviation High Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2079-0619</issn><issn pub-type="epub">2542-0119</issn><publisher><publisher-name>Moscow State Technical University of Civil Aviation (MSTU CA)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26467/2079-0619-2026-29-2-106-120</article-id><article-id custom-type="elpub" pub-id-type="custom">caht-2752</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>МАШИНОСТРОЕНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MECHANICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Численное исследование аэродинамики комбинации планера и соосного несущего винта вертолета на основе метода URANS</article-title><trans-title-group xml:lang="en"><trans-title>Numerical study of helicopter airframe aerodynamics combined with coaxial main rotor using the URANS method</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Константинов</surname><given-names>С. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Konstantinov</surname><given-names>S. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Константинов Сергей Геннадьевич, кандидат технических наук, доцент кафедры проектирования вертолетов</p><p>г. Москва </p></bio><bio xml:lang="en"><p>Sergey G. Konstantinov, Candidate of Technical Sciences, Associate Professor, Associate Professor, the Design and Certification of Aviation Equipment Chair</p><p>Moscow </p></bio><email xlink:type="simple">slk.konstantinov@gmail.com</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>Макеев</surname><given-names>П. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Makeev</surname><given-names>P. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Макеев Павел Вячеславович, доктор технических наук, доцент, профессор кафедры проектирования вертолетов</p><p>г. Москва </p></bio><bio xml:lang="en"><p>Pavel V. Makeev, Doctor of Technical Sciences, Associate Professor, Associate Professor, the Design and Certification of Aviation Equipment Chair</p><p>Moscow </p></bio><email xlink:type="simple">makeevpv@mai.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>Шомов</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Shomov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шомов Александр Иванович, кандидат технических наук, доцент, доцент кафедры проектирования вертолетов</p><p>г. Москва </p></bio><bio xml:lang="en"><p>Alexander I. Shomov, Candidate of Technical Sciences, Associate Professor, Associate Professor, the Design and Certification of Aviation Equipment Chair</p><p>Moscow </p></bio><email xlink:type="simple">shomov_aleksandr@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский авиационный институт (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Aviation Institute (National Research University)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>05</day><month>05</month><year>2026</year></pub-date><volume>29</volume><issue>2</issue><fpage>106</fpage><lpage>120</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Константинов С.Г., Макеев П.В., Шомов А.И., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Константинов С.Г., Макеев П.В., Шомов А.И.</copyright-holder><copyright-holder xml:lang="en">Konstantinov S.G., Makeev P.V., Shomov A.I.</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://avia.mstuca.ru/jour/article/view/2752">https://avia.mstuca.ru/jour/article/view/2752</self-uri><abstract><p>Работа посвящена численному моделированию аэродинамических характеристик планера вертолета Камов Ка-226, а также комбинации планера и соосного несущего винта. Использован метод CFD (computational fluid dynamics) на основе подхода URANS (Unsteady Reynolds-averaged Navier-Stokes equations) с моделью турбулентности k-ω SST на базе пакета Ansys Fluent. Созданная для решения поставленных задач гибридная оверсетная расчетная сетка содержала от 45 миллионов (планер) до 58 миллионов (комбинация планера и несущего винта) ячеек. Характеристики планера вертолета рассчитаны для различных конфигураций, таких как изолированный фюзеляж, фюзеляж + оперение, фюзеляж + оперение + колонка автомата перекоса, фюзеляж + оперение + колонка автомата перекоса + шасси (полная конфигурация) в диапазоне углов атаки планера от −16 до +16°. Комбинация планера и несущего винта рассчитана в полной конфигурации для скорости полета 30 м/c. Сравнение расчетных аэродинамических характеристик изолированного фюзеляжа и планера вертолета в полной конфигурации с экспериментальными данными продувок в аэродинамической трубе показало удовлетворительное совпадение. Результаты численного моделирования аэродинамических характеристик планера продемонстрировали ряд особенностей: возникновение отрицательной подъемной силы на фюзеляже на режиме горизонтального полета и формирование за ним двух мощных вихревых жгутов, оказывающих влияние на хвостовое оперение. Результаты численного моделирования аэродинамических характеристик комбинации планера и НВ позволили оценить также влияние вихревого следа НВ на аэродинамические характеристики планера. Выполненное исследование демонстрирует широкие возможности примененного подхода URANS для решения задач оптимизации аэродинамики вертолета с учетом интерференции его планера, отдельных частей и соосного несущего винта.</p></abstract><trans-abstract xml:lang="en"><p>The work is dedicated to numerical modeling of Kamov Ka-226 helicopter aerodynamics for isolated helicopter airframe and helicopter airframe with coaxial main rotor. The CFD (computational fluid dynamics) method based on the URANS approach (Unsteady Reynolds-averaged Navier-Stokes equations) based on the Ansys Fluent software has been used. The hybrid overset mesh contained from 45 (isolated airframe) to 58 (airframe/rotor combination) million cells. The isolated helicopter airframe aerodynamic characteristics have been investigated for various airframe configurations such as: isolated fuselage, fuselage + tail, fuselage + tail + rotor head and fuselage + tail + rotor hub + landing gear (full configuration). The range of pitch angles from −16 to +16° has been considered. The full airframe/rotor combination aerodynamics has been investigated for a flight speed of 30 m/s. Comparison of calculated aerodynamic characteristics of isolated fuselage and full airframe configuration with wind tunnel (WT) test data has showed a satisfactory match. The results of numerical modelling of helicopter airframe aerodynamics have demonstrated specific features, such as: presence of negative lift force on the helicopters fuselage in horizontal flight and formation of two powerful vortex bundles behind the fuselage that affecting the tail stabilizer. The results of numerical modelling of helicopter airframe/rotor combination have allowed evaluating the effect of main rotor wake on the helicopter airframe aerodynamics. The performed study demonstrates the wide possibilities of the URANS approach in solving the complex problems of optimizing helicopter aerodynamics, taking into account the interference of airframe, its individual parts and main rotor.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>метод URANS</kwd><kwd>планер вертолета</kwd><kwd>соосный несущий винт</kwd><kwd>аэродинамические характеристики</kwd></kwd-group><kwd-group xml:lang="en"><kwd>CFD</kwd><kwd>URANS method</kwd><kwd>helicopter airframe</kwd><kwd>coaxial main rotor</kwd><kwd>aerodynamic characteristics</kwd><kwd>aerodynamic interference</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">Renaud T. Evaluation of isolated fuselage and rotor-fuselage interaction using CFD / T. Renaud, D. O'Brien, M. Smith, M. Potsdam // Journal of the American Helicopter Society. 2008. Vol. 53, no. 1. Pp. 3–17. DOI: 10.4050/JAHS.53.3</mixed-citation><mixed-citation xml:lang="en">Renaud, T., O'Brien, D., Smith, M., Potsdam, M. (2008). Evaluation of isolated fuselage and rotor-fuselage interaction using CFD. Journal of the American Helicopter Society, vol. 53, no. 1, pp. 3–17. DOI: 10.4050/JAHS.53.3</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Steijl R., Barakos G. Computational analysis of rotor-fuselage interactional aerodynamics using sliding-plane CFD method [Электронный ресурс] // ResearchGate. 2008. 16 p. URL: https://www.researchgate.net/publication/266096529_Computational_analysis_of_rotorfuselage_interactional_aerodynamics_using_sliding-plane_CFD_method (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Steijl, R., Barakos, G. (2008). Computational analysis of rotor-fuselage interactional aerodynamics using sliding-plane CFD method. ResearchGate, 16 p. Available at: https://www.researchgate.net/publication/266096529_Computational_analysis_of_rotor-fuselage_interactional_aerodynamics_using_slidingplane_CFD_method (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Smith M. Vorticity-transport and unstructured RANS investigation of rotor-fuselage interactions / M. Smith, R. Shenoy, A. Kenyon, R. Brown [Электронный ресурс] // 35th European Rotorcraft Forum. Germany, Hamburg, 2009. ID: 101271. 19 p. URL: https://dspaceerf.nlr.nl/server/api/core/bitstreams/783e9f1d-0503-44bd-acea-48b1636888e0/content (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Smith, M., Shenoy, R., Kenyon, A., Brown, R. (2009). Vorticity-transport and unstructured RANS investigation of rotor-fuselage interactions. In: 35th European Rotorcraft Forum, Hamburg, Germany, 19 p. Available at: https://dspace-erf.nlr.nl/server/api/core/bitstreams/783e9f1d-0503-44bd-acea-48b1636888e0/content (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Lee B. Numerical simulation of rotorfuselage aerodynamic interaction using an unstructured overset mesh technique / B. Lee, M. Jung, O.‐J. Kwon, H.J. Kang // International Journal of Aeronautical and Space Sciences. 2010. Vol. 11, iss. 1. Pp. 1–9. DOI: 10.5139/IJASS.2010.11.1.001</mixed-citation><mixed-citation xml:lang="en">Lee, B., Jung, M., Kwon, O.‐J., Kang, H.J. (2010). Numerical simulation of rotor-fuselage aerodynamic interaction using an unstructured overset mesh technique. International Journal of Aeronautical and Space Sciences, vol. 11, issue 1, pp. 1–9. DOI: 10.5139/IJASS.2010.11.1.001</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Quon E. Unsteady reynolds-averaged navier-stokes-based hybrid methodologies for rotor-fuselage interaction / E. Quon, M. Smith, G. Whitehouse, D. Wachspress // Journal of Aircraft. 2012. Vol. 49, no. 3. Pp. 961–965. DOI: 10.2514/1.C031578</mixed-citation><mixed-citation xml:lang="en">Quon, E., Smith, M., Whitehouse, G., Wachspress, D. (2012). Unsteady reynolds-averaged navier-stokes-based hybrid methodologiesfor rotor-fuselage interaction. Journal of Aircraft, vol. 49, no. 3, pp. 961–965. DOI: 10.2514/1.C031578</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Schäferlein U., Keßler M. CFD-simulation of the rotor head influence to the rotorfuselage interaction [Электронный ресурс] // 40th European Rotorcraft Forum. United Kingdom, Southampton, 2014. 12 p. URL: https://dspace-erf.nlr.nl/server/api/core/bitstreams/0f0f46c2-f81a-47af-9a73-40c3d6589cf8/content (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Schäferlein, U., Keßler, M. (2014). CFD-simulation of the rotor head influence to the rotor-fuselage interaction. In: 40th European Rotorcraft Forum, Southampton, United Kingdom, 12 p. Available at: https://dspace-erf.nlr.nl/server/api/core/bitstreams/0f0f46c2-f81a-47af-9a73-40c3d6589cf8/content (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Tan J., Wang H. Numerical analysis of helicopter rotor/fuselage unsteady aerodynamic interaction // Acta Aerodynamica Sinica. 2014. Vol. 32, no. 3. Pp. 320–327. DOI: 10.7638/kqdlxxb-2012.0141</mixed-citation><mixed-citation xml:lang="en">Tan, J., Wang, H. (2014). Numerical analysis of helicopter rotor/fuselage unsteady aerodynamic interaction. Acta Aerodynamica Sinica, vol. 32, no. 3, pp. 320–327. DOI: 10.7638/kqdlxxb-2012.0141</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Nicolosi F. Fuselage aerodynamic drag prediction method by CFD / F. Nicolosi, P. Vecchia, D. Ciliberti, V. Cusati [Электронный ресурс] // 5th CEAS Air &amp; Space Conference. NL, Delft, 7–11 September 2015. URL: https://www.researchgate.net/publication/332407449_Fuselage_aerodynamic_drag_prediction_method_by_CFD (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Nicolosi, F., Vecchia, P., Ciliberti, D., Cusati, V. (2015). Fuselage aerodynamic drag prediction method by CFD. In: 5th CEAS Air &amp; Space Conference, Delft, NL, 7–11 September. Available at: https://www.researchgate.net/publication/332407449_Fuselage_aerodynamic_drag_prediction_method_by_CFD (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Açıkgöz M.B., Aslan A.R. Dynamic mesh analyses of helicopter rotor–fuselage flow interaction in forward flight [Электронный ресурс] // Journal of Aerospace Engineering. 2016. Vol. 29, no. 6. ID: 04016050. DOI: 10.1061/(ASCE)AS.1943-5525.0000641 (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Açıkgöz, M.B., Aslan, A.R. (2016). Dynamic mesh analyses of helicopter rotor– fuselage flow interaction in forward flight. Journal of Aerospace Engineering, vol. 29, no. 6, ID: 04016050. DOI: 10.1061/(ASCE)AS.1943-5525.0000641 (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Dawei L., Ji X., Jun H. The theoretical research for the rotor/fuselage unsteady aerodynamic interaction problem // Journal of Aerospace Technology and Management. 2016. Vol. 8, no. 3. Pp. 281–288. DOI: 10.5028/jatm.v8i3.686</mixed-citation><mixed-citation xml:lang="en">Dawei, L., Ji, X., Jun, H. (2016). The theoretical research for the rotor/fuselage unsteady aerodynamic interaction problem. Journal of Aerospace Technology and Management, vol. 8, no. 3, pp. 281–288. DOI: 10.5028/jatm. v8i3.686</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Passe B. Identification of rotor-fuselage aerodynamic interactions in a compound coaxial helicopter using CFD-CSD Coupling / B. Passe, A. Sridharan, J. Baeder, R. Singh [Электронный ресурс] // American Helicopter Society Specialists Meeting on Aeromechanics Design for Vertical Lift, CA, San Francisco, 20–22 January 2016. URL: https://www.researchgate.net/publication/296467339_Identification_of_Rotor-Fuselage_Aerodynamic_nteractions_in_a_Compound_Coaxial_Helicopter_using_CFD-CSD_Coupling (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Passe, B., Sridharan, A., Baeder, J., Singh, R. (2016). Identification of rotor-fuselage aerodynamic interactions in a compound coaxial helicopter using CFD-CSD Coupling. In: American Helicopter Society Specialists Meeting on Aeromechanics Design for Vertical Lift, San Francisco, CA, 20–22 January. Available at: https://www.researchgate.net/publication/296467339_Identification_of_Rotor-Fuselage_Aerodynamic_nteractions_in_a_Compound_Coaxial_Helicopter_using_CFD-CSD_Coupling (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Batrakov A. Simulation of tail boom vibrations using main rotor-fuselage computational fluid dynamics (CFD) / A. Batrakov, A. Kusyumov, S. Kusyumov, S. Mikhailov, G. Barakos [Электронный ресурс] // Applied Sciences. 2017. Vol. 7, iss. 9. ID: 918. DOI: 10.3390/app7090918 (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Batrakov, A., Kusyumov, A., Kusyumov, S., Mikhailov, S., Barakos, G. (2017). Simulation of tail boom vibrations using main rotor-fuselage computational fluid dynamics (CFD). Applied Sciences, vol. 7, issue 9, ID: 918. DOI: 10.3390/app7090918 (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Xu H. A simple and conservative unstructured sliding-mesh approach for rotor-fuselage aerodynamic interaction simulation / H. Xu, S.-L. Xing, Z.-Y. Ye, M.-S. Ma // Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering. 2016. Vol. 231, iss. 1. Pp. 163–179. DOI: 10.1177/0954410016664919</mixed-citation><mixed-citation xml:lang="en">Xu, H., Xing, S.-L., Ye, Z.-Y., Ma, M.-S. (2016). A simple and conservative unstructured sliding-mesh approach for rotor-fuselage aerodynamic interaction simulation. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 231, issue 1, pp. 163–179. DOI: 10.1177/0954410016664919</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Aiman W.A. Numerical modelling of helicopter fuselage aerodynamics in forward flight using computational fluid dynamics / W.A. Aiman, N.A.R.N. Mohd, S. Mat, N.B. Dahalan [Электронный ресурс] // 3rd South East Asia Workshop on Aerospace Engineering. Thailand, Bangkok, 6-8 September 2018. URL: https://www.researchgate.net/publication/332038050_NUMERICAL_MODELLING_OF_HELICOPTER_FUSELAGE_AERODYNAMICS_IN_FORWARD_FLIGHT_USING_COMPUTATIONAL_FLUID_DYNAMICS (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Aiman, W.A., Mohd, N.A.R.N., Mat, S., Dahalan, N.B. (2018). Numerical modelling of helicopter fuselage aerodynamics in forward flight using computational fluid dynamics. In: 3rd South East Asia Workshop on Aerospace Engineering, Bangkok, Thailand, 6-8 September. Available at: https://www.researchgate.net/publication/332038050_NUMERICAL_MODELLING_OF_HELICOPTER_FUSELAGE_AERODYNAMICS_IN_FORWARD_FLIGHT_USING_COMPUTATIONAL_FLUID_DYNAMICS (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Lorber P., Min B.-Y., Zhao J. (2019). Comparison of rotor - fuselage flow fields and unsteady tail interactions between two CFD codes and experiment [Электронный ресурс] // 75th Annual Forum of the American Helicopter Society. USA, Philadelphia, Pennsylvania, 13–16 May. DOI: 10.4050/F-0075-2019-14500 (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Lorber, P., Min, B.-Y., Zhao, J. (2019). Comparison of rotor - fuselage flow fields and unsteady tail interactions between two CFD codes and experiment. In: 75th Annual Forum of the American Helicopter Society, Philadelphia, Pennsylvania, USA, 13–16 May. DOI: 10.4050/F-0075-2019-14500 (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Kim J., Ko J., Lee S. Aeroacoustic analysis of coaxial rotor with rotor-fuselage interaction [Электронный ресурс] // 48th International Congress and Exhibition on Noise Control Engineering. Spain, Madrid, 16-19 June 2019. 8 p. URL: https://www.sea-acustica.es/INTERNOISE_2019/Fchrs/Proceedings/1812.pdf (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Kim, J., Ko, J., Lee, S. (2019). Aeroacoustic analysis of coaxial rotor with rotor-fuselage interaction. In: 48 th International Congress and Exhibition on Noise Control Engineering, Madrid, Spain, 16–19 June. Available at: https://www.sea-acustica.es/INTERNOISE_2019/Fchrs/Proceedings/1812.pdf (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu Y. Numerical study of the aerodynamic interference of rotors imposed on fuselage for a quadcopter / Y. Zhu, D. Lin, L. Mo, P. Lv, J. Ye [Электронный ресурс] // IEEE Access. 2021. Vol. 9. Pp. 150021–150036. DOI: 10.1109/ACCESS.2021.3124507 (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Zhu, Y., Lin, D., Mo, L., Lv, P., Ye, J. (2021). Numerical study of the aerodynamic interference of rotors imposed on fuselage for a quadcopter. IEEE Access, vol. 9, pp. 150021–150036. DOI: 10.1109/ACCESS.2021.3124507 (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Wang C. Main rotor wake interference effects on tail rotor thrust in crosswind / C. Wang, M. Huang, S. Ma, H. Wang, M. Tang [Электронный ресурс] // International Journal of Aerospace Engineering. 2021. Vol. 2021. ID: 9994115. 13 p. DOI: 10.1155/2021/9994115 (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Wang, C., Huang, M., Ma, S., Wang, H., Tang, M. (2021). Main rotor wake interference effects on tail rotor thrust in cross-wind. International Journal of Aerospace Engineering, vol. 2021, ID: 9994115, 13 p. DOI: 10.1155/2021/9994115 (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Аникин В.А. Расчет обтекания корпуса вертолета с помощью уравнений Рейнольдса / В.А. Аникин, А.В. Воеводин, Д.С. Коломенский, Г.Г. Судаков // Полет. Общероссийский научно-технический журнал. 2005. № 11. С. 43–48.</mixed-citation><mixed-citation xml:lang="en">Anikin, V.A., Voyevodin, A.V., Kolomensky, D.S., Sudakov, G.G. (2005). Helicopter hull streamlining calculated with help of Reynolds equations. Polet. Obshcherossiyskiy Nauchno-Tekhnicheskiy Zhurnal, no. 11, pp. 43–48. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Игнаткин Ю.М., Константинов С.Г. Исследование аэродинамических характеристик планера вертолетов методом CFD // Полет. Общероссийский научно-технический журнал. 2017. № 9-10. С. 34–41.</mixed-citation><mixed-citation xml:lang="en">Ignatkin, Yu.M., Konstantinov, S.G. (2017). Researches of aerodynamic characterristics of planer helicopters using CFD-method. All-Russian Scientific-Technical Journal “Polyot” (“Flight”), no. 9-10, pp. 34–41. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Konstantinov S.G. Comparative study of coaxial main rotor aerodynamics in the hover with the usage of two methods of computational fluid dynamics / S.G. Konstantinov, Yu.M. Ignatkin, P.V. Makeev, S.O. Nikitin [Электронный ресурс] // Journal of Aerospace Technology and Management. 2021. Vol. 13. 14 p. DOI: 10.1590/jatm.v13.1210 (дата обращения: 17.06.2025).</mixed-citation><mixed-citation xml:lang="en">Konstantinov, S.G., Ignatkin, Yu.M., Makeev, P.V., Nikitin, S.O. (2021). Comparative study of coaxial main rotor aerodynamics in the hover with the usage of two methods of computational fluid dynamics. Journal of Aerospace Technology and Management, vol. 13, 14 p. DOI: 10.1590/jatm.v13.1210 (accessed: 17.06.2025).</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Ignatkin Yu. Modelling the helicopter rotor aerodynamics at forward flight with free wake model and URANS method / Yu. Ignatkin, P. Makeev, S. Konstantinov, A. Shomov // Aviation. 2020. Vol. 24, no. 4. Pp. 149–156. DOI: 10.3846/aviation.2020.12714</mixed-citation><mixed-citation xml:lang="en">Ignatkin, Yu., Makeev, P., Konstantinov, S., Shomov, A. (2020). Modelling the helicopter rotor aerodynamics at forward flight with free wake model and URANS method. Aviation, vol. 24, no. 4, pp. 149–156. DOI: 10.3846/aviation.2020.12714</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Крицкий Б.С. Пульсации тяги соосного несущего винта, обусловленные взаимным расположением лопастей / Б.С. Крицкий, Р.М. Миргазов, В.А. Аникин, О.В. Герасимов // Научный вестник МГТУ ГА. 2020. Т. 23, № 4. С. 96–104. DOI: 10.26467/2079-0619-2020-23-4-96-104</mixed-citation><mixed-citation xml:lang="en">Kritsky, B.S., Mirgazov, R.M., Anikin, V.A., Gerasimov, O.V. (2020). Thrust pulsation of coaxial main rotor, caused by the blades relative position. Civil Aviation High Technologies, vol. 23, no. 4, pp. 96–104. DOI: 10.26467/2079-0619-2020-23-4-96-104</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Kim H., Brown R. A comparison of coaxial and conventional rotor performance // Journal of the American Helicopter Society. 2010. Vol. 55, no. 1. Pp. 12004. DOI: 10.4050/JAHS.55.012004</mixed-citation><mixed-citation xml:lang="en">Kim, H., Brown, R. (2010). A comparison of coaxial and conventional rotor performance. Journal of the American Helicopter Society, vol. 55, no. 1, pp. 12004. DOI: 10.4050/JAHS.55.012004</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>
