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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">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2022-23-1-197-208</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-1243</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>История математики и приложений</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Сomputer science</subject></subj-group></article-categories><title-group><article-title>Математический размерный анализ порошков, полученных электроэрозионным диспергированием жаропрочного никелевого сплава ЖС6У в воде</article-title><trans-title-group xml:lang="en"><trans-title>Dimensional analysis of powders obtained by electroerosive dispersion of heat-resistant nickel alloy ZHS6U in water</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>Агеев</surname><given-names>Евгений Викторович</given-names></name><name name-style="western" xml:lang="en"><surname>Ageev</surname><given-names>Yevgeniy Viktorovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>доктор технических наук, профессор</p></bio><bio xml:lang="en"><p>doctor of technical sciences, professor</p></bio><email xlink:type="simple">ageev_ev@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>Гвоздев</surname><given-names>Александр Евгеньевич</given-names></name><name name-style="western" xml:lang="en"><surname>Gvozdev</surname><given-names>Aleksander Evgenуevich</given-names></name></name-alternatives><bio xml:lang="ru"><p>доктор технических наук, профессор</p></bio><bio xml:lang="en"><p>doctor of technical sciences, professor</p></bio><email xlink:type="simple">gwozdew.alexandr2013@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Протопопов</surname><given-names>Евгений Александрович</given-names></name><name name-style="western" xml:lang="en"><surname>Protopopov</surname><given-names>Yevgeniy Aleksandrovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>кандидат технических наук, старший преподаватель</p></bio><bio xml:lang="en"><p>candidate of technical sciences</p></bio><email xlink:type="simple">pea_12@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Поданов</surname><given-names>Вадим Олегович</given-names></name><name name-style="western" xml:lang="en"><surname>Podanоv</surname><given-names>Vadim Olegovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант</p></bio><bio xml:lang="en"><p>postgraduate student</p></bio><email xlink:type="simple">vadim.podanov@yandex.ru</email><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Агеева</surname><given-names>Анна Евгеньевна</given-names></name><name name-style="western" xml:lang="en"><surname>Ageeva</surname><given-names>Anna Evgenievna</given-names></name></name-alternatives><email xlink:type="simple">ageevaanna2004@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Юго-Западный государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Southwestern State University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Тульский государственный педагогический университет им. Л.Н. Толстого</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Tula State Lev Tolstoy Pedagogical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Тульский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Tula State University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Юго-Западный государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Southwest State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>06</day><month>06</month><year>2022</year></pub-date><volume>23</volume><issue>1</issue><fpage>197</fpage><lpage>208</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Агеев Е.В., Гвоздев А.Е., Протопопов Е.А., Поданов В.О., Агеева А.Е., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Агеев Е.В., Гвоздев А.Е., Протопопов Е.А., Поданов В.О., Агеева А.Е.</copyright-holder><copyright-holder xml:lang="en">Ageev Y.V., Gvozdev A.E., Protopopov Y.A., Podanоv V.O., Ageeva A.E.</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.chebsbornik.ru/jour/article/view/1243">https://www.chebsbornik.ru/jour/article/view/1243</self-uri><abstract><p>В настоящее время одна из основных проблем использования сплава ЖС6У связана с наличием в его составе дорогостоящих компонентов, таких как Ni, Ti, Mo, Со и др. и необходимостью его повторного использования путем измельчения. Одним из эффективных, но недостаточно изученных металлургических способов измельчения металлоотходов является электродиспергирование. К настоящему времени в современной научно-технической литературе отсутствуют полноценные сведения о составе, структуре и свойствах частиц сплава ЖС6У, полученных в условиях электроэрозионной металлургии.Целью настоящей работы являлось проведение размерного анализа частиц порошка, полученного электроэрозионным диспергированием жаропрочного никелевого сплава ЖС6У в воде.Электродиспергирование отходов сплава жаропрочного никелевого сплава ЖС6У в виде некондиционных «рабочих» лопаток турбины реактивного двигателя самолета осуществляли в воде дистиллированной на оригинальной установке. В результате воздействия кратковременных электрических разрядов в воде образовывались частицы порошка жаропрочного никелевого сплава ЖС6У различного размера. Размерные характеристикичастиц порошка, полученного электроэрозионным диспергированием жаропрочного никелевого сплава ЖС6У в воде, исследовали на лазерном анализаторе размеров частиц «Analysette 22 NanoTec».На основании проведенных экспериментальных исследований и их математической обработки, установлено, что частицы порошка, полученного электроэрозионным диспергированием жаропрочного никелевого сплава ЖС6У в воде, имеют размеры от 0,1 до 285 мкм со средним объемным диаметром 67,1 мкм. Отмечены особенности формирования фракционного состава частиц порошка в процессе электроэрозионной металлургии метал-лоотходов марки ЖС6У, а именно наличие двух экстремумов размеров частиц 10 мкм и 100 мкм: мелкая фракция (0,1 . . . 25,0 мкм) образуется за счет конденсации парообразной фазы и крупная фракция (25,0 . . . 300 мкм) образуется за счет конденсации жидкой фазы. Отмечено, что смещение экстремумов размеров частиц, образующихся при кристаллизации парообразной и жидкой фаз, определяется электрическими параметрами работы установки: напряжением на электродах, емкостью разрядных конденсаторов и частотой следования импульсов. Показано, что в порошке, полученном электроэрозионным диспергированием жаропрочного никелевого сплава ЖС6У в воде, содержится: 5% частиц с размером до 1,69 мкм; 10% частиц с размером до 3,36 мкм; 25% частиц с размером до11,71 мкм; 50% частиц с размером до 50,07 мкм; 75% частиц с размером до 99,02 мкм; 90% частиц с размером до 165,74 мкм; 95% частиц с размером до 210,72 мкм; 99% частиц с размером до 281,09 мкм включительно. При этом удельная площадь поверхности порошка составляет 7994 см^2/см^3.</p></abstract><trans-abstract xml:lang="en"><p>Currently, one of the main problems of using the ZhS6U alloy is associated with the presence of expensive components in its composition, such as Ni, Ti, Mo, Co, etc. and the need to reuse it by grinding. One of the effective, but insufficiently studied metallurgical methods of grinding metal waste is electrodispersion. To date, in the modern scientific and technical literature there is no complete information about the composition, structure and properties of the particles ofthe ZhS6U alloy obtained in the conditions of electroerosive metallurgy.The purpose of this work was to conduct a dimensional analysis of powder particles obtained by electroerosive dispersion of heat-resistant nickel alloy ZhS6U in water.Electrodispersion of the waste of the heat-resistant nickel alloy ZHS6U in the form of substandard "working"turbine blades of the jet engine of the aircraft was carried out in distilled water at the original installation. As a result of exposure to short-term electrical discharges, particles of heat-resistant nickel alloy ZHS6U powder of various sizes were formed in the water.The dimensional characteristics of the powder particles obtained by electroerosive dispersion of the heat-resistant nickel alloy ZHS6U in water were studied using a laser particle size analyzer "Analysette 22 NanoTec".Based on the conducted experimental studies, it was found that the powder particles obtained by electroerosive dispersion of heat-resistant nickel alloy ZHS6U in water have sizes from 0.1 to 285 microns with an average volumetric diameter of 67.1 microns. The features of the formation of the fractional composition of powder particles in the process of electroerosive metallurgy of metal waste of the ZhS6U brand are noted, namely, the presence of two extremes of particle sizes of 10 microns and 100 microns: a small fraction (0.1 . . . 25.0 microns) is formeddue to condensation of the vapor phase and a large fraction (25.0 . . . 300 microns) is formed due to condensation of the liquid phase. It is noted that the displacement of the extremes of the particle sizes formed during the crystallization of the vapor and liquid phases is determined by the electrical parameters of the installation: the voltage on the electrodes, the capacity of the discharge capacitors and the pulse repetition frequency. It is shown that the powder obtainedby electroerosive dispersion of heat-resistant nickel alloy ZHS6U in water contains: 5% particles with a size up to 1.69 microns; 10% particles with a size up to 3.36 microns; 25% particles with a size up to 11.71 microns; 50% particles with a size up to 50.07 microns; 75% particles with a size up to 99.02 microns; 90% of particles with a size up to 165.74 microns; 95% of particles with a size up to 210.72 microns; 99% of particles with a size up to 281.09 microns inclusive. In this case, the specific surface area of the powder is 7994 cm^2/cm^3.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>отходы жаропрочного никелевого сплава ЖС6У</kwd><kwd>электроэрозионное диспергирование</kwd><kwd>частицы порошка</kwd><kwd>размерные характеристики.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>waste of heat-resistant nickel alloy ZhS6U</kwd><kwd>electroerosive dispersion</kwd><kwd>powder particles</kwd><kwd>dimensional characteristics.</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при поддержке гранта Президента РФ (НШ-596.2022.4).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Новикова О.В., Кочетков В.А., Виноградов А.И., Жуков А.А., Тихонов А.А., Маринин С.Ф. 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