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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">Himičeskaâ fizika</journal-id><journal-title-group><journal-title xml:lang="en">Himičeskaâ fizika</journal-title><trans-title-group xml:lang="ru"><trans-title>Химическая физика</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0207-401X</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">686554</article-id><article-id pub-id-type="doi">10.31857/S0207401X25060088</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Dynamics of transport processes</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Динамика транспортных процессов</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">Equations of Multimoment Hydrodynamics in the Problem of Flowing Around a Sphere. 2. The Basic Asymmetric Solution</article-title><trans-title-group xml:lang="ru"><trans-title>Уравнения многомоментной гидродинамики в задаче обтекания сферы. 2. Основное асимметричное решение</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Lebed</surname><given-names>I. V.</given-names></name><name xml:lang="ru"><surname>Лебедь</surname><given-names>И. В.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>lebed-ivl@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Institute of Applied Mechanics of the Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт прикладной механики Российской академии наук</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-06-04" publication-format="electronic"><day>04</day><month>06</month><year>2025</year></pub-date><volume>44</volume><issue>6</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>97</fpage><lpage>108</lpage><history><date date-type="received" iso-8601-date="2025-07-02"><day>02</day><month>07</month><year>2025</year></date><date date-type="accepted" iso-8601-date="2025-07-02"><day>02</day><month>07</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></permissions><self-uri xlink:href="https://transsyst.ru/0207-401X/article/view/686554">https://transsyst.ru/0207-401X/article/view/686554</self-uri><abstract xml:lang="en"><p>The equations of multimoment hydrodynamics are used to interpret flows behind the sphere that do not have axial symmetry. In accordance with the general approach to solving the equations of multimoment hydrodynamics, a set of nonlinear first-order differential equations for unknown coefficients is derived. Numerical integration of the derived equations shows that a high value of the turbulence coefficient provides a transition from the basic axisymmetric solution to the basic weakly asymmetric solution. It was found that the asymmetric solution is not stable. The instability of the asymmetric solution creates prospects for interpreting the observed evolution of weakly asymmetric flow. It becomes possible to reproduce the vortex shedding observed at moderately high values of the Reynolds number. There are prospects for interpreting the turbulence that develops with a further increase in the Reynolds number.</p></abstract><trans-abstract xml:lang="ru"><p>Уравнения многомоментной гидродинамики привлечены для интерпретации течений за сферой, не обладающих осевой симметрией. В соответствии с общим подходом к решению этих уравнений проведен вывод системы нелинейных дифференциальных уравнений первого порядка для неизвестных коэффициентов. Численное интегрирование выведенных уравнений показывает, что высокое значение коэффициента турбулентности обеспечивает переход от основного осесимметричного решения к основному слабо асимметричному решению. Обнаружено, что асимметричное решение не обладает устойчивостью. Неустойчивость асимметричного решения создает перспективы для интерпретации наблюдаемой эволюции слабо асимметричного течения. Появляется возможность воспроизведения вихревого испускания, наблюдаемого при умеренно высоких значениях числа Re. Возникают перспективы для интерпретации турбулентности, развивающейся при дальнейшем повышении числа Re.</p></trans-abstract><kwd-group xml:lang="en"><kwd>multimoment hydrodynamics</kwd><kwd>unstable solution</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>многомоментная гидродинамика</kwd><kwd>неустойчивое решение</kwd></kwd-group><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Министерство науки и высшего образования Российской Федерации</institution></institution-wrap><institution-wrap><institution xml:lang="en">Ministry of Science and Higher Education of the Russian Federation</institution></institution-wrap></funding-source></award-group></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Lebed I. V. // Khim. Fizika. 2025. V. 44.</mixed-citation><mixed-citation xml:lang="ru">Лебедь И.В. // Хим. физика. 2025. Т. 44. № 6. 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