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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">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">22196</article-id><article-id pub-id-type="doi">10.22363/2658-4670-2019-27-1-49-59</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Modeling and Simulation</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Математическое моделирование</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">Mathematical model of cavitation under the influence of a single stretching pulse</article-title><trans-title-group xml:lang="ru"><trans-title>Математическая модель кавитации под воздействием одиночного импульса растяжения</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kravchenko</surname><given-names>Nikolay Yu</given-names></name><name xml:lang="ru"><surname>Кравченко</surname><given-names>Николай Юрьевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Deputy Director of Institute of Physical Research and Technology</p></bio><email>kravchenko-nyu@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kulyabov</surname><given-names>Dmitry S</given-names></name><name xml:lang="ru"><surname>Кулябов</surname><given-names>Дмитрий Сергеевич</given-names></name></name-alternatives><bio xml:lang="en"><p>Doctor of Sciences in Physics and Mathematics, Full Professor, Department of Applied Probability and Informatics</p></bio><email>kulyabov-ds@rudn.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Peoples’ Friendship University of Russia (RUDN University)</institution></aff><aff><institution xml:lang="ru">Российский университет дружбы народов</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2019-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2019</year></pub-date><volume>27</volume><issue>1</issue><issue-title xml:lang="en">VOL 27, NO1 (2019)</issue-title><issue-title xml:lang="ru">ТОМ 27, №1 (2019)</issue-title><fpage>49</fpage><lpage>59</lpage><history><date date-type="received" iso-8601-date="2019-11-20"><day>20</day><month>11</month><year>2019</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2019, Kravchenko N.Y., Kulyabov D.S.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2019, Kravchenko N.Y., Kulyabov D.S.</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="en">Kravchenko N.Y., Kulyabov D.S.</copyright-holder><copyright-holder xml:lang="ru">Kravchenko N.Y., Kulyabov D.S.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">http://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/22196">https://journals.rudn.ru/miph/article/view/22196</self-uri><abstract xml:lang="en"><p>This paper describes the created mathematical model that allows you to explore the dynamics of cavitation bubbles under the influence of a single negative pressure pulse. The time dependence and coordinates of the parameters of the carrier phase, the temperature and pressure of the vapor phase, the concentration and size of the bubbles are determined numerically. It is concluded that the model created gives a good agreement between the calculated and experimental data.</p></abstract><trans-abstract xml:lang="ru"><p>В данной статье описана созданная математическая модель, позволяющая исследовать динамику кавитационных пузырьков под воздействием одиночного импульса отрицательного давления. Временная зависимость и координаты параметров несущей фазы, температуры и давления паровой фазы, концентрации и размера пузырьков определяются численно. Сделан вывод, что созданная модель дает хорошее согласие между расчетными и экспериментальными данными.</p></trans-abstract><kwd-group xml:lang="en"><kwd>numerical simulation</kwd><kwd>cavitation</kwd><kwd>mathematical model of cavitation</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>численное моделирование, кавитация, математическая модель кавитации</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>N. Yu. Kravchenko, M. M. Martynyuk, Dynamics of homogeneous cavitation bubbles in water under large amplitude pressure oscillations, Bulletin of Peoples’ Friendship University of Russia. Series: Physics 8 (2000) 118-121, in Russian.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>A. A. Aganina, M. A. Ilgamov, D. Yu. Toporkova, Dependence of vapor compression in cavitation bubbles in water and benzol on liquid pressure, Proceedings of Kazan University. 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