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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">vguit</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Воронежского государственного университета инженерных технологий</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Voronezh State University of Engineering Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-910X</issn><issn pub-type="epub">2310-1202</issn><publisher><publisher-name>VSUET</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.20914/2310-1202-2021-1-62-70</article-id><article-id custom-type="elpub" pub-id-type="custom">vguit-2666</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>Процессы и аппараты пищевых производств</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Processes and equipment for food industry</subject></subj-group></article-categories><title-group><article-title>Моделирование процесса роста кристаллов сахарозы в сахарсодержащем растворе</article-title><trans-title-group xml:lang="en"><trans-title>Simulation of the growth of sucrose crystals in a sugar-containing solution</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6203-1783</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Семенов</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Semenov</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.т.н., профессор, кафедра технологии продуктов из растительного сырья и парфюмерно-косметических изделий, ул. Талалихина, 31, г. Москва, 109004, Россия</p></bio><bio xml:lang="en"><p>Dr. Sci. (Engin.), professor, technology of products from plant raw materials and perfumery and cosmetic products department, st. Talalikhina, 31, Moscow, 109004, Russia</p></bio><email xlink:type="simple">sem-post@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/0000-0002-0262-8841</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Славянский</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Slavyansky</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.т.н., профессор, зав. кафедры, технология продуктов из растительного сырья и парфюмерно-косметических изделий, ул. Талалихина, 31, г. Москва, 109004, Россия</p></bio><bio xml:lang="en"><p>Dr. Sci. (Engin.), professor, head of department, technology of products from plant raw materials and perfumery and cosmetic products department, st. Talalikhina, 31, Moscow, 109004, Russia</p></bio><email xlink:type="simple">anatoliy4455@ya.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/0000-0002-5079-8132</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Грибкова</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Gribkova</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к.т.н., доцент, кафедра технологии продуктов из растительного сырья и парфюмерно-косметических изделий, ул. Талалихина, 31, г. Москва, 109004, Россия</p></bio><bio xml:lang="en"><p>Cand. Sci. (Engin.), associate professor, technology of products from plant raw materials and perfumery and cosmetic products department, st. Talalikhina, 31, Moscow, 109004, Russia</p></bio><email xlink:type="simple">instituttpp@ya.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/0000-0002-8724-3368</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Митрошина</surname><given-names>Д. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Мitroshina</surname><given-names>D. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>ассистент, кафедра технологии продуктов из растительного сырья и парфюмерно-косметических изделий, ул. Талалихина, 31, г. Москва, 109004, Россия</p></bio><bio xml:lang="en"><p>assistant, technology of products from plant raw materials and perfumery and cosmetic products department, st. Talalikhina, 31, Moscow, 109004, Russia</p></bio><email xlink:type="simple">d_mitr96@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/0000-0003-4299-1538</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Антипов</surname><given-names>С. Т.</given-names></name><name name-style="western" xml:lang="en"><surname>Antipov</surname><given-names>S. T.</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.т.н., профессор, зав. кафедры машины и аппараты пищевых производств, пр-т Революции, 19, г. Воронеж, 394036, Россия</p></bio><bio xml:lang="en"><p>Dr. Sci. (Engin.), professor, head of department machines and apparatus for food production, Revolyutsii Ave., 19, Voronezh, 394036, Russia</p></bio><email xlink:type="simple">ast@vsuet.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный университет технологий и управления им. К.Г. Разумовского (ПКУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow State University of Technology and Management. K.G. Razumovsky (PKU)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Воронежский государственный университет инженерных технологий</institution><country>Russian Federation</country></aff><aff xml:lang="en"><institution>Voronezh State University of Engineering Technologies</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>12</day><month>04</month><year>2021</year></pub-date><volume>83</volume><issue>1</issue><fpage>62</fpage><lpage>70</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Семенов Е.В., Славянский А.А., Грибкова В.А., Митрошина Д.П., Антипов С.Т., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Семенов Е.В., Славянский А.А., Грибкова В.А., Митрошина Д.П., Антипов С.Т.</copyright-holder><copyright-holder xml:lang="en">Semenov E.V., Slavyansky A.A., Gribkova V.A., Мitroshina D.P., Antipov S.T.</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.vestnik-vsuet.ru/vguit/article/view/2666">https://www.vestnik-vsuet.ru/vguit/article/view/2666</self-uri><abstract><p>Кристаллизация сахарозы представляет собой один из наиболее важных этапов в технологическом потоке получения товарного сахара. По своей природе – это развивающийся в достаточно широком температурном диапазоне, условиях изменяющейся концентрации раствора, его пептизации и другого массообменный процесс образования и роста кристаллов сахара в сахарном растворе путем диффузионного переноса в нем молекул сахарозы. К этому нужно добавить еще и такие осложняющие физико-математическую формализацию явления, влияющие на кристаллизацию, как форма кристалла, чистота, вязкостные свойства и поверхностное натяжение раствора, наличие в нем несахаров и т.п. Поэтому среди обусловливающих в целом протекание процесса факторов обычно проводят, сохраняя среди них лишь приоритетные и наиболее важные с позиций исследования. С точки зрения классической диффузионной теории явление кристаллизации трактуется как молекулярный с бесконечной скоростью распространения возмущения от источника диффузионный перенос в растворе молекул сахарозы, вследствие чего концентрация в сахарсодержащей жидкостной системе также полагается изменяющейся мгновенно в каждой точке. Однако, поскольку в реальных условиях этот эффект не наблюдается, то, с целью разрешить это противоречие, вводят понятия возмущенного и невозмущенного, разделенных называемым диффузионным фронтом концентрации областей этих фазовых состояний. Используя кинематические характеристики фронта, определяют время протекания процесса кристаллизации в целом по обеим фазам. Что позволяет с большей, по сравнению с полученными на базе классической теорией результатами, точностью рассчитать период обработки раствора.</p></abstract><trans-abstract xml:lang="en"><p>Crystallization is one of the most important steps in the technological flow of commodity sugar. By its nature, it develops in a fairly wide temperature range, conditions of varying concentration of the solution, its peptization and other mass-exchange process of formation and growth of sugar crystals in a sugar solution by diffusion transfer in it sucrose molecules. To this it is necessary to add such complicating physical and mathematical formalization phenomena, affecting crystallization, such as the shape of the crystal, purity, viscous properties and surface tension of the solution, the presence of non-sugars, etc. Therefore, among the factors that determine the whole process, the factors usually take place, keeping among them only priority and most important from the point of view of the study. The article, unlike known analogues, provides justification and quantitative analysis of the kinetics of the sucrose crystallization process, taking into account the features of the crystal shape and diffusion properties of the solution. From the point of view of classical diffusion theory, the phenomenon of crystallization is interpreted as molecular with infinite rate of perilation from the source of diffusion transfer in the solution of sucrose molecules, so that the concentration in the sugar-containing liquid system is also supposed to change instantly at each point. However, since in the real world this effect is not observed, in order to resolve this contradiction, introduce the concepts of the indignant and unperturbed, separated by the diffusion front of the concentration of the regions of these phase states. Using the kinematic characteristics of the front, determine the time of the crystallization process in general in both phases. This allows us to calculate the processing period of the solution with greater accuracy than the results obtained on the basis of classical theory.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>вакуум-аппарат</kwd><kwd>концентрация раствора</kwd><kwd>затравка</kwd><kwd>кинетика кристаллизации</kwd><kwd>сахароза</kwd></kwd-group><kwd-group xml:lang="en"><kwd>vacuum apparatus</kwd><kwd>solution concentration</kwd><kwd>seed</kwd><kwd>crystallization kinetics</kwd><kwd>sucrose</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">Силин П. М. Технология сахара. Рипол Классик, 2013.</mixed-citation><mixed-citation xml:lang="en">Silin P.M. Technology of sugar. Ripol Classic, 2013. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Магомедов М. Г. 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