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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2024-15-1-37-45</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-46</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Molecular dynamics study of nanofluids viscosity with carbon tubes</article-title><trans-title-group xml:lang="ru"><trans-title>Молекулярно-динамическое изучение вязкости наножидкостей с углеродными трубками</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1335-4548</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рудяк</surname><given-names>В. Я.</given-names></name><name name-style="western" xml:lang="en"><surname>Rudyak</surname><given-names>V. Ya.</given-names></name></name-alternatives><bio xml:lang="en"><p>Valery Ya. Rudyak</p><p>Novosibirsk</p></bio><email xlink:type="simple">valery.rudyak@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/0000-0002-9495-7326</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Краснолуцкий</surname><given-names>С. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Krasnolutskii</surname><given-names>S. L.</given-names></name></name-alternatives><bio xml:lang="en"><p>Sergey L. Krasnolutskii</p><p>Novosibirsk</p></bio><email xlink:type="simple">sergius-l@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/0000-0003-3347-0781</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лежнев</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Lezhnev</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Evgeniy V. Lezhnev</p><p>Novosibirsk</p></bio><email xlink:type="simple">lionlev@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Novosibirsk State University of Architecture and Civil Engineering</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>31</day><month>05</month><year>2025</year></pub-date><volume>15</volume><issue>1</issue><fpage>37</fpage><lpage>45</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Rudyak V.Y., Krasnolutskii S.L., Lezhnev E.V., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Рудяк В.Я., Краснолуцкий С.Л., Лежнев Е.В.</copyright-holder><copyright-holder xml:lang="en">Rudyak V.Y., Krasnolutskii S.L., Lezhnev E.V.</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://nanojournal.ifmo.ru/jour/article/view/46">https://nanojournal.ifmo.ru/jour/article/view/46</self-uri><abstract><p>The purpose of this paper is molecular dynamics simulation of viscosity of benzene-based nanofluids with carbon nanotubes, and carbon or copper nanoparticles. The nanotubes diameter and lengths were 1.1 nm and 1.1, 3.5, 7.2, 14.6 nm, respectively. The size of spherical nanoparticle was 1.39, 2.5, and 3.2 nm. The viscosity is calculated using the fluctuation-dissipation theorem (the Green–Kubo formula). It was shown that the viscosity coefficient of all the studied nanofluids with carbon nanotubes increases with their concentration and length. This increase is significantly higher than predicted by the corresponding theories for coarse dispersed fluids. At given weight concentrations, the viscosity coefficient of nanofluids with carbon nanotubes is higher than that of nanofluids with spherical particles. The increase in viscosity of nanofluids compared to that of the base fluid is explained by the structuring of the base fluid molecules in the vicinity of nanoparticles or carbon nanotubes.</p></abstract><trans-abstract xml:lang="ru"><p>Целью данной работы является молекулярно-динамическое моделирование вязкости наножидкостей на основе бензола с углеродными нанотрубками и наночастицами из углерода и меди. Диаметр и длина нанотрубок соответственно равны 1,1 нм и 1.1, 3.5, 7.2, 14.6 нм. Размер сферических наночастиц составлял 1.39, 2.5 и 3.2 нм. Вязкость рассчитывалась с использованием флуктуационно-диссипационной теоремы (формула Грина-Кубо). Показано, что коэффициент вязкости всех исследованных наножидкостей с углеродными нанотрубками увеличивается с увеличением их концентрации и длины. Это увеличение значительно выше, чем предсказывается соответствующими теориями для крупнодисперсных жидкостей. При заданных массовых концентрациях коэффициент вязкости наножидкостей с углеродными нанотрубками выше, чем у наножидкостей со сферическими частицами. Увеличение вязкости наножидкостей по сравнению с вязкостью базовой жидкости объясняется структурированием молекул базовой жидкости вблизи наночастиц или УНТ.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Вязкость</kwd><kwd>метод молекулярной динамики</kwd><kwd>наножидкость</kwd><kwd>наночастицы</kwd><kwd>углеродные нанострубки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>viscosity</kwd><kwd>molecular dynamics method</kwd><kwd>nanofluid</kwd><kwd>nanoparticles</kwd><kwd>carbon nanotubes</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This research was financially supported by the Russian Science Foundation (Agreement No. 20-19-00043). The authors thank A. A. Belkin and T. A. 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