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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">ipolytech</journal-id><journal-title-group><journal-title xml:lang="ru">iPolytech Journal</journal-title><trans-title-group xml:lang="en"><trans-title>iPolytech Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-4004</issn><issn pub-type="epub">2782-6341</issn><publisher><publisher-name>Irkutsk National Research Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21285/1814-3520-2021-6-720-732</article-id><article-id custom-type="elpub" pub-id-type="custom">ipolytech-546</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 И МАШИНОВЕДЕНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MACHINE BUILDING AND MACHINE SCIENCE</subject></subj-group></article-categories><title-group><article-title>Исследование сегментарного вентиляционного аппарата тормозного диска с определением взаимосвязи аэродинамических и теплообменных характеристик воздушного потока</article-title><trans-title-group xml:lang="en"><trans-title>Study of a segmented ventilation system of the brake disc and determination of the aerodynamic and heat exchange characteristics of the airflow</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0576-5398</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Поляков</surname><given-names>П. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Polyakov</surname><given-names>P. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Поляков Павел Александрович, кандидат технических наук, доцент, ведущий научный сотрудник, НПЦ «Охрана труда»</p><p>344038, г. Ростов-на-Дону, пл. Ростовского Стрелкового Полка Народного Ополчения, 2, Россия</p></bio><bio xml:lang="en"><p>Pavel A. Polyakov, Cand. Sci. (Eng.), Associate Professor, Leading Researcher of the Research and Production Center “Occupational Health and Safety”</p><p>2, Rostovskogo Strelkovogo Polka Narodnogo Opol-cheniya Sq., Rostov-on-Don, 344038, Russia</p></bio><email xlink:type="simple">polyakov.pavel88@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Ростовский государственный университет путей сообщения</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Rostov State Transport University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>11</day><month>01</month><year>2022</year></pub-date><volume>25</volume><issue>6</issue><fpage>720</fpage><lpage>732</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Поляков П.А., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Поляков П.А.</copyright-holder><copyright-holder xml:lang="en">Polyakov P.A.</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://ipolytech.elpub.ru/jour/article/view/546">https://ipolytech.elpub.ru/jour/article/view/546</self-uri><abstract><p>Цель – определение взаимосвязи аэродинамических и теплообменных характеристик воздушного потока в сегментарном вентиляционном аппарате тормозного диска с улучшением рассеивания тепла в пограничном слое омывающего воздушного потока. В исследованиях использовались классические уравнения тепломассообмена в пограничном слое воздушного потока омываемого вентиляционного аппарата тормозного диска. Для оценки работы данного аппарата применялся метод подобия. Объектом исследований явился сегментарный вентиляционный аппарат тормозного диска. Для подтверждения теоретических изысканий выполнялось CFDмоделирование объекта исследований. Разработаны математические модели вентиляционных аппаратов тормозных дисков со сплошным каналом и каналом со щелями. В качестве критерия оценки эффективности работы вентиляционного аппарата тормозного диска был предложен параметр турбулизации воздушного потока внутри исследуемого аппарата. Полученные аналитические зависимости показали, что с увеличением скорости воздушного потока в 20 раз значение данного параметра снизилось в 1,24 раза. С увеличением температурного перепада в пограничном слое в 8 раз параметр турбулизации увеличился в 86,2 раза. На основании предложенного критерия оценки эффективности работы был проведен расчет аэродинамических и теплообменных характеристик объекта исследований. По результатам расчета предложена взаимосвязь конструктивных параметров сегментарного вентиляционного аппарата с улучшением рассеивания тепла в пограничном слое омывающего воздушного потока. Проведенное CFD-моделирование подтвердило теоретические исследования аэродинамических характеристик сегментарного вентиляционного аппарата тормозного диска. Данную математическую модель совместно с параметром турбулизации возможно применять при проектировании современных вентилируемых тормозных дисков и для оценки существующих узлов охлаждения фрикционных узлов. Это необходимо для минимизации возникновения ситуации снижения теплообменных процессов.</p></abstract><trans-abstract xml:lang="en"><p>This study aims determine a relationship between the aerodynamic and heat exchange characteristics of the air flow in a segmented ventilation system of the brake disc with improved heat dissipation in the boundary layer of the air flow. Classical equations of heat and mass transfer in the boundary layer of the air flow cooling the brake disc ventilation chamber were used. The cooling performance of the system was assessed using the method of similarity. The obtained theoretical findings were confirmed by CFD-modelling. Mathematical models were developed for vented discs with both continuous grooves and slotted grooves. A criterion for assessing the performance of brake disc ventilation systems was proposed, consisting in turbulization of the air flow inside the device under study. According to the obtained analytical dependencies, a 20-fold acceleration of the air flow decreases the turbulization parameter by 1.24 times. An increase in the temperature difference in the boundary layer by 8 times leads to an increase in the turbulization parame-ter by 86.2 times. Using the criterion proposed for assessing the work performance, the aerodynamic and heat exchange characteristics of the system under study were calculated. As a result, a relationship between the design parameters of the segmented ventilation system and improved heat dissipation in the boundary layer of the cooling air flow is proposed. The conducted CFD modelling confirmed the aerodynamic characteristics of the system under study obtained theoretical-ly. This mathematical model together with the turbulization parameter can be used when both developing modern vented brake discs and assessing the existing cooling systems of friction units in order to minimize the possibility of reduced heat exchange processes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>тормозной диск</kwd><kwd>вентиляционный аппарат</kwd><kwd>пограничный слой</kwd><kwd>критерий Рейнольдса</kwd><kwd>критерий Стэнтона</kwd><kwd>параметр турбулизации</kwd></kwd-group><kwd-group xml:lang="en"><kwd>brake disc</kwd><kwd>ventilation unit</kwd><kwd>boundary layer</kwd><kwd>Reynolds criterion</kwd><kwd>Stanton criterion</kwd><kwd>turbulence parameter</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">Bhure S. Analysis of ventilated disc brake rotor using CFD to improve its thermal performance // 6th International set Conference Vellore (Tamil Nadu, Vellore, January 2013 – May 2013). Vellore: School of mechanical building and science, VIT University, 2013.</mixed-citation><mixed-citation xml:lang="en">Bhure S. Analysis of ventilated disc brake rotor using CFD to improve its thermal performance. In: 6th Interna-tional set Conference Vellore. January 2013 – May 2013, Tamil Nadu, Vellore. Vellore: School of mechanical build-ing and science, VIT University; 2013.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Pan Like, Han J., Li Z., Yang Z., Li W. Numerical simulation for train brake disc ventilation // Journal of Beijing Jiaotong University. 2015. Vol. 39. Iss. 1. P. 118–124. https://doi.org/10.11860/j.issn.1673-0291-2015.01.020.</mixed-citation><mixed-citation xml:lang="en">Pan Like, Han J., Li Z., Yang Z., Li W. Numerical simu-lation for train brake disc ventilation. Journal of Beijing Jiaotong University. 2015;39(1):118-124. https://doi.org/10.11860/j.issn.1673-0291-2015.01.020.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Atkins M. D., Kienhöfer F. W., Kim Tongbeum. Flow behavior in radial vane brake rotors at low rotational speeds // Journal of Fluids Engineering. 2019. Vol. 141. Iss. 8. Р. 081105. https://doi.org/10.1115/1.4042470.</mixed-citation><mixed-citation xml:lang="en">Atkins M. D., Kienhöfer F. W., Kim Tongbeum. Flow behavior in radial vane brake rotors at low rotational speeds. Journal of Fluids Engineering. 2019;141(8):081105. https://doi.org/10.1115/1.4042470.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Indira R., Bharatish A. Optimization of ventilated brake disc rotor geometry for enhanced structural characteristics // Journal of Measurements in Engineering. 2020. Vol. 8. Iss. 3. P. 98–106. https://doi.org/10.21595/jme.2020.21399.</mixed-citation><mixed-citation xml:lang="en">Indira R., Bharatish A. Optimization of ventilated brake disc rotor geometry for enhanced structural characteris-tics. Journal of Measurements in Engineering. 2020;8(3):98-106. https://doi.org/10.21595/jme.2020.21399.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Nejat A., Aslani M., Mirzakhalili E., Najian Asl R. Heat transfer enhancement in ventilated brake disk using double airfoil vanes // Journal of Thermal Science and Engineering Applications. 2011. Vol. 3. Iss. 4. Р. 045001. https://doi.org/10.1115/1.4004931.</mixed-citation><mixed-citation xml:lang="en">Nejat A., Aslani M., Mirzakhalili E., Najian Asl R. Heat transfer enhancement in ventilated brake disk using dou-ble airfoil vanes. Journal of Thermal Science and Engi-neering Applications. 2011;3(4):045001. https://doi.org/10.1115/1.4004931.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Рудов П. К. Методика расчета эффективного радиуса трения в дисковом тормозе с накладками трапецеидальной формы // Вестник белорусского государственного университета транспорта: Наука и транспорт. 2006. № 1-2. С. 15–21.</mixed-citation><mixed-citation xml:lang="en">Rudov P. K. The procedure of design of effective radius of friction of a disk brake with overlays trapezoid form. Vestnik belorusskogo gosudarstvennogo universiteta transporta: Nauka i transport = Bulletin of the Belarusian State University of Transport: Science and Transport. 2006;1-2:15-21. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Panelli M., Cardone G. Thermal fluid dynamics analysis of vented brake disc rotor with ribs turbulators // Thermal and Environmental Issues in Energy Systems, ASME-UITATI: Proceedings International Conference. Sorrento, 2010. https://doi.org/10.13140/2.1.3525.7122.</mixed-citation><mixed-citation xml:lang="en">Panelli M., Cardone G. Thermal fluid dynamics analysis of vented brake disc rotor with ribs turbulators. In: Thermal and Environmental Issues in Energy Systems, ASME-UIT-ATI: Proceedings International Conference. Sorrento; 2010. https://doi.org/10.13140/2.1.3525.7122.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Nosko O. Partition of friction heat between sliding semispaces due to adhesion-deformational heat generation // International Journal of Heat and Mass Transfer. 2013. Vol. 64. P. 1189–1195. https://doi.org/10.1016/j.ijheatmasstransfer.2013.05.056.</mixed-citation><mixed-citation xml:lang="en">Nosko O. Partition of friction heat between sliding sem-ispaces due to adhesion-deformational heat generation. International Journal of Heat and Mass Transfer. 2013;64:1189-1195. https://doi.org/10.1016/j.ijheatmasstransfer.2013.05.056.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Nosko O. Analytical study of sliding instability due to velocity- and temperature-dependent friction // Tribology Letters. 2016. Vol. 61. No. 1. https://doi.org/10.1007/s11249-015-0628-9.</mixed-citation><mixed-citation xml:lang="en">Nosko O. Analytical study of sliding instability due to velocity- and temperature-dependent friction. Tribology Letters. 2016;61(1). https://doi.org/10.1007/s11249-015-0628-9.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Mortazavi V., Wang Chuanfeng, Nosonovsky M. Stability of frictional sliding with the coefficient of friction depended on the temperature // Journal of Tribology. 2012. Vol. 134. Iss. 4. Р. 041601. https://doi.org/10.1115/1.4006577.</mixed-citation><mixed-citation xml:lang="en">Mortazavi V., Wang Chuanfeng, Nosonovsky M. Sta-bility of frictional sliding with the coefficient of friction de-pended on the temperature. Journal of Tribology. 2012;134(4):041601. https://doi.org/10.1115/1.4006577.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Úradníček J., Musil M., Bachratý M., Havelka F. Destabilization of disc brake mechanical system due to nonproportional damping // Engineering mechanics: Proceedings 26th International Conference (Brno, 24–25 November, 2020). Brno: Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics, 2020. P. 496–499. https://doi.org/10.21495/5896-3-496.</mixed-citation><mixed-citation xml:lang="en">Úradníček J., Musil M., Bachratý M., Havelka F. De-stabilization of disc brake mechanical system due to non-proportional damping. In: Engineering mechanics: Pro-ceedings 26th International Conference. 24–25 Novem-ber, 2020, Brno. Brno: Brno University of Technology In-stitute of Solid Mechanics, Mechatronics and Biomechan-ics; 2020, p. 496-499. https://doi.org/10.21495/5896-3-496.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Du Xuzhi, Yang Zhigang, Li Qiliang, Zhao Lanping. Brake disc cooling characteristics of a passenger car // Journal of Tongji University. 2016. https://doi.org/10.11908/j.issn.0253-374x.2016.05.020.</mixed-citation><mixed-citation xml:lang="en">Du Xuzhi, Yang Zhigang, Li Qiliang, Zhao Lanping. Brake disc cooling characteristics of a passenger car. Journal of Tongji University. 2016. https://doi.org/10.11908/j.issn.0253-374x.2016.05.020.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Mamtaz F., Hossain A., Sharmin N. Solution of boundary layer and thermal boundary layer equation // Asian Research Journal of Mathematics. 2018. Vol. 11. Iss. 4. Р. 1–15</mixed-citation><mixed-citation xml:lang="en">Mamtaz F., Hossain A., Sharmin N. Solution of boundary layer and thermal boundary layer equation. Asian Research Journal of Mathematics. 2018;11(4):1-15. https://doi.org/10.9734/ARJOM/2018/45267.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">https://doi.org/10.9734/ARJOM/2018/45267.</mixed-citation><mixed-citation xml:lang="en">Vasu B., Prasad V. R., Bég O. А. Thermo-diffusion and diffusion-thermo effects on boundary layer flows. Chemical Engineering Journal. 2011;173:598-606.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Vasu B., Prasad V. R., Bég O. А. Thermo-diffusion and diffusion-thermo effects on boundary layer flows // Chemical Engineering Journal. 2011. Vol. 173. P. 598–606.</mixed-citation><mixed-citation xml:lang="en">Bhattacharyya K., Layek G. Slip effect on diffusion of chemically reactive species in boundary layer flow over a vertical stretching sheet with suction or blowing. Chemical Engineering Communications. 2011;198(11):1354-1365. https://doi.org/10.1080/00986445.2011.560515.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Bhattacharyya K., Layek G. Slip effect on diffusion of chemically reactive species in boundary layer flow over a vertical stretching sheet with suction or blowing // Chemical Engineering Communications. 2011. Vol. 198. Iss. 11. P. 1354–1365. https://doi.org/10.1080/00986445.2011.560515.</mixed-citation><mixed-citation xml:lang="en">Pringle J. Instabilities in the bottom boundary layer reduce boundary layer arrest, al-lowing cross-isobath spread of downwave flows and ventilating the boundary layer. Earth and Space Science Open Archive. 2021. https://doi.org/10.1002/essoar.10506113.1.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Pringle J. Instabilities in the bottom boundary layer reduce boundary layer arrest, allowing cross-isobath spread of downwave flows and ventilating the boundary layer // Earth and Space Science Open Archive. 2021. https://doi.org/10.1002/essoar.10506113.1.</mixed-citation><mixed-citation xml:lang="en">Kaushik M. Boundary layers. In: Theoretical and Ex-perimental Aerodynamics. Singapore: Springer; 2019, р. 251-284. https://doi.org/10.1007/978-981-13-1678-4_11.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Kaushik M. Boundary layers // Theoretical and Experimental Aerodynamics. Singapore: Springer, 2019. Р. 251–284. https://doi.org/10.1007/978-981-13-1678-4_11.</mixed-citation><mixed-citation xml:lang="en">Polyakov P. A. Relationship between airflow and heat discharge from the surfaces of the ventilation device brake disc. Izvestiya Tul'skogo gosudarstvennogo universiteta. Tekhnicheskie nauki. = Proceedings of the Tula State University. 2021;8:184-190. (In Russ.). https://doi.org/10.24412/2071-6168-2021-8-184-190.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Поляков П. А. Связь между режимом протекания воздушного потока и теплоотдачей от поверхностей вентиляционного аппарата тормозного диска // Известия Тульского государственного университета. Технические науки. 2021. № 8. С. 184–190. https://doi.org/10.24412/2071-6168-2021-8-184-190.</mixed-citation><mixed-citation xml:lang="en">Jiang Feng, Xu Weilin, Deng Jun, Wei Wangru. Flow structures of the air-water layer in the free surface region of high-speed open channel flows. Mathematical Prob-lems in Engineering. 2020;2020. https://doi.org/10.1155/2020/5903763.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Jiang Feng, Xu Weilin, Deng Jun, Wei Wangru. Flow structures of the air-water layer in the free surface region of high-speed open channel flows // Mathematical Problems in Engineering. 2020. Vol. 2020. https://doi.org/10.1155/2020/5903763.</mixed-citation><mixed-citation xml:lang="en">Tarafder Md. Sh., Naz N. Analysis of potential flow around two-dimensional body by finite element method. Journal of Mechanical Engineering Research. 2015;7(2):9-22. https://doi.org/10.5897/JMER2014.0342.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Tarafder Md. Sh., Naz N. Analysis of potential flow around two-dimensional body by finite element method // Journal of Mechanical Engineering Research. 2015. Vol. 7. Iss. 2. P. 9–22. https://doi.org/10.5897/JMER2014.0342.</mixed-citation><mixed-citation xml:lang="en">Tarafder Md. Sh., Naz N. Analysis of potential flow around two-dimensional body by finite element method // Journal of Mechanical Engineering Research. 2015. Vol. 7. Iss. 2. P. 9–22. https://doi.org/10.5897/JMER2014.0342.</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>
