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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">10.18384/2310-7251-2022-4-6-16</article-id><article-id custom-type="elpub" pub-id-type="custom">phmath-568</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>Неньютоновское течение  наножидкости на основе оксида титана</article-title><trans-title-group xml:lang="en"><trans-title>Non-Newtonian flow of a nanofluid based on titanium oxide</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>Вековищев</surname><given-names>М. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Vekovishchev</surname><given-names>M. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Вековищев Михаил Петрович – кандидат физико-математических наук, доцент кафедры физики и химии</p><p>140411, Московская обл., г. Коломна, ул. Зелёная, д. 30</p></bio><bio xml:lang="en"><p>Mikhail P. Vekovishchev – Cand. Sci. (Phys.-Math.), Assoc. Prof.</p><p>ul. Zelenaya 30, Kolomna 140411, Moscow Region</p></bio><email xlink:type="simple">mpv.71@mail.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>Кирсанов</surname><given-names>Е. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kirsanov</surname><given-names>E. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кирсанов Евгений Александрович – кандидат физико-математических наук, доцент кафедры физики и химии</p><p>140411, Московская обл., г. Коломна, ул. Зелёная, д. 30</p></bio><bio xml:lang="en"><p>Evgeny A. Kirsanov – Cand. Sci. (Phys.-Math.), Assoc. Prof.</p><p>ul. Zelenaya 30, Kolomna 140411, Moscow Region</p></bio><email xlink:type="simple">Kirsanov47@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Государственный социально-гуманитарный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>State University of Humanities and Social Studies</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>07</day><month>02</month><year>2023</year></pub-date><volume>0</volume><issue>4</issue><fpage>6</fpage><lpage>16</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Вековищев М.П., Кирсанов Е.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Вековищев М.П., Кирсанов Е.А.</copyright-holder><copyright-holder xml:lang="en">Vekovishchev M.P., Kirsanov E.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://www.physmathmgou.ru/jour/article/view/568">https://www.physmathmgou.ru/jour/article/view/568</self-uri><abstract><sec><title>Цель</title><p>Цель: рассмотреть реологическое поведение наножидкости, полученной на основе наночастиц оксида титана в воде и этиленгликоле.</p></sec><sec><title>Процедура и методы</title><p>Процедура и методы. Проведена аппроксимация экспериментальных данных уравнениями структурной реологической модели на отдельных интервалах скорости сдвига.</p></sec><sec><title>Результаты</title><p>Результаты. Показана связь коэффициентов реологических уравнений с характером изменения структуры наножидкости, а именно формирования и разрушения агрегатов наночастиц.</p><p>Теоретическая и/или практическая значимость. Предложены уравнения, которые способны аппроксимировать экспериментальные данные на отдельных интервалах скорости сдвига, соответствующих определённому структурному состоянию наножидкости. </p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Aim</title><p>Aim. We consider the rheological behavior of a nanofluid obtained on the basis of titanium oxide nanoparticles in water and ethylene glycol.</p></sec><sec><title>Methodology</title><p>Methodology. The experimental data are approximated using equations of the structural rheological model on separate intervals of the shear rate.</p></sec><sec><title>Results</title><p>Results. A relationship is obtained between the coefficients of rheological equations and the nature of changes in the structure of the nanofluid, namely, the formation and destruction of nanoparticle aggregates. </p></sec><sec><title>Research implications</title><p>Research implications. Equations are derived that make it possible to approximate experimental data at individual shear rate intervals corresponding to a certain structural state of the nanofluid. </p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>наножидкость</kwd><kwd>наночастицы оксида титана</kwd><kwd>структурная реологическая модель</kwd><kwd>реологические кривые</kwd></kwd-group><kwd-group xml:lang="en"><kwd>nanofluid</kwd><kwd>titanium oxide nanoparticles</kwd><kwd>structural rheological model</kwd><kwd>rheological curves</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">Mahbubul I. M., Saidur R., Amalina M. A. Latest developments on the viscosity of nanofluids // International Journal of Heat and Mass Transfer. 2012. Vol. 55. Iss. 4. P. 874–885. DOI: 10.1016/J.IJHEATMASSTRANSFER.2011.10.021.</mixed-citation><mixed-citation xml:lang="en">Mahbubul I. M., Saidur R., Amalina M. A. Latest developments on the viscosity of nanofluids. In: International Journal of Heat and Mass Transfer, 2012, vol. 55, iss. 4, pp. 874–885. DOI: 10.1016/J.IJHEATMASSTRANSFER.2011.10.021.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Рудяк В. Я. Современное состояние исследований вязкости наножидкостей // Вестник Новосибирского государственного университета. Серия: Физика. 2015. Т. 10. № 1. С. 5–22.</mixed-citation><mixed-citation xml:lang="en">Rudyak V. Ya. [State-of-the-art study of nanofluid viscosity]. In: Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriya: Fizika [Vestnik NSU. Series: Physics], 2015, vol. 10, no. 1, pp. 5–22.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Haisheng Chen, Yulong Ding, Chunqing Tan. Rheological behaviour of nanofluids // New Journal of Physics. 2007. Vol. 9. P. 367–391. doi:10.1088/1367-2630/9/10/367.</mixed-citation><mixed-citation xml:lang="en">Haisheng Chen, Yulong Ding, Chunqing Tan. Rheological behaviour of nanofluids. In: New Journal of Physics, 2007, vol. 9, pp. 367–391. DOI: 10.1088/1367-2630/9/10/367.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Investigation of thermal conductivity and rheological properties of nanofluids containing graphene nanoplatelets / Mehrali M., Sadeghinezhad E., Tahan Latibari S., Kazi S. N., Mehrali M., Zubir M. N., Metselaar H. S. C. // Nanoscale Research Letters. 2014. Vol. 9. P. 15–24. DOI: 10.1186/1556-276X-9-15.</mixed-citation><mixed-citation xml:lang="en">Mehrali M., Sadeghinezhad E., Tahan Latibari S., Kazi S. N., Mehrali M., Zubir M. N., Metselaar H. S. C. Investigation of thermal conductivity and rheological properties of nanofluids containing graphene nanoplatelets. In: Nanoscale Research Letters, 2014, vol. 9, pp. 15–24. DOI: 10.1186/1556-276X-9-15.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Hasan S. M. Non-Newtonian rheological characteristics of oil-based metal oxide nanofluids: a thesis for the degree master of science. Department of Mechanical Engineering, Northern Illinois University. De Kalb, Illinois, 2017. 55 p.</mixed-citation><mixed-citation xml:lang="en">Hasan S. M. Non-Newtonian rheological characteristics of oil-based metal oxide nanofluids: a thesis for the degree master of science. Department of Mechanical Engineering, Northern Illinois University. De Kalb, Illinois, 2017. 55 p.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Saeedi A. H., Akbari M., Toghraie D. An experimental study on rheological behavior of a nanofluid containing oxide nanoparticle and proposing a new correlation // Physica E: Low-dimensional Systems and Nanostructures. 2018. Vol. 99. P. 285–293. DOI: 10.1016/j.physe.2018.02.018.</mixed-citation><mixed-citation xml:lang="en">Saeedi A. H., Akbari M., Toghraie D. An experimental study on rheological behavior of a nanofluid containing oxide nanoparticle and proposing a new correlation. In: Physica E: Low-dimensional Systems and Nanostructures, 2018, vol. 99, pp. 285–293. DOI: 10.1016/j.physe.2018.02.018.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Rheological non-Newtonian behaviour of ethylene glycol-based Fe2O3 nanofluids / Pastoriza-Gallego M. J., Lugo L., Legido J. L., Piñeiro M. M. // Nanoscale Research Letters. 2011. Vol. 6. P. 560–566. DOI: 10.1186/1556-276X-6-560.</mixed-citation><mixed-citation xml:lang="en">Pastoriza-Gallego M. J., Lugo L., Legido J. L., Piñeiro M. M. Rheological non-Newtonian behaviour of ethylene glycol-based Fe2O3 nanofluids. In: Nanoscale Research Letters, 2011, vol. 6, pp. 560–566. DOI: 10.1186/1556-276X-6-560.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Tseng W. J., Lin K. Rheology and colloidal structure of aqueous TiO2 nanoparticle suspensions // Materials Science and Engineering: A. 2003. Vol. 355. Iss. 1–2. P. 186–192. DOI: 10.1016/S0921-5093(03)00063-7.</mixed-citation><mixed-citation xml:lang="en">Tseng W. J., Lin K. Rheology and colloidal structure of aqueous TiO2 nanoparticle suspensions. In: Materials Science and Engineering: A, 2003, vol. 355, iss. 1–2, pp. 186–192. DOI: 10.1016/S0921-5093(03)00063-7.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Heat transfer and flow behavior of aqueous suspensions of TiO2 nanoparticles (nanofluids) flowing through a vertical pipe / He Y., Chen H., Ding Y., Cang D., Lu H. // International Journal of Heat and Mass Transfer. 2007. Vol. 50. Iss. 11–12. P. 2272–2281. DOI: 10.1016/j.ijheatmasstransfer.2006.10.024.</mixed-citation><mixed-citation xml:lang="en">He Y., Chen H., Ding Y., Cang D., Lu H. Heat transfer and flow behavior of aqueous suspensions of TiO2 nanoparticles (nanofluids) flowing through a vertical pipe. In: International Journal of Heat and Mass Transfer, 2007, vol. 50, iss. 11–12, pp. 2272–2281. DOI: 10.1016/j.ijheatmasstransfer.2006.10.024.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Rheological and volumetric properties of TiO2-ethylene glycol nanofluids / Cabaleiro D., Pastoriza-Gallego M. J., Gracia-Fernandez C., Pineiro M. M., Lugo L. // Nanofluids. Nanoscale Research Letters. 2013. Vol. 8. Article number: 286. DOI: 10.1186/1556-276X-8286.</mixed-citation><mixed-citation xml:lang="en">Cabaleiro D., 	Pastoriza-Gallego M. J., 	Gracia-Fernandez C., 	Pineiro M. M., 	Lugo L. Rheological and volumetric properties of TiO2-ethylene glycol nanofluids. In: Nanofluids. Nanoscale Research Letters, 2013, vol. 8, article number: 286. DOI: 10.1186/1556-276X-8286.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Кирсанов Е. А., Матвеенко В. Н. Неньютоновское течение дисперсных, полимерных и жидкокристаллических систем. Структурный подход. М.: Техносфера, 2016. 384 с.</mixed-citation><mixed-citation xml:lang="en">Kirsanov Ye. A., Matveenko V. N. Nen'yutonovskoe techenie dispersnykh, polimernykh i zhidkokristallicheskikh sistem. Strukturnyi podkhod [Non-Newtonian flow of dispersed, polymeric and liquid crystal systems]. Moscow, Tekhnosfera Publ., 2016. 384 p.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Кирсанов Е. А., Матвеенко В. Н. Вязкость и упругость структурированных жидкостей. М.: Техносфера, 2022. 284 с.</mixed-citation><mixed-citation xml:lang="en">Kirsanov Ye. A., Matveyenko V. N. Vyazkost' i uprugost' strukturirovannykh zhidkostey [Viscosity and elasticity of structured liquids]. Moscow, Tekhnosfera Publ., 284 p.</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>
