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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Food Processing: Techniques and Technology</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Food Processing: Techniques and Technology</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Техника и технология пищевых производств</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2074-9414</issn>
   <issn publication-format="online">2313-1748</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">104942</article-id>
   <article-id pub-id-type="doi">10.21603/2074-9414-2025-3-2584</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>ОРИГИНАЛЬНАЯ СТАТЬЯ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>ORIGINAL ARTICLE</subject>
    </subj-group>
    <subj-group>
     <subject>ОРИГИНАЛЬНАЯ СТАТЬЯ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Combined Energy Supply Drying of Fish Eggs and Lecithin Clot Based on Dehydration Kinetics: Mathematical Model Adaptation</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Адаптация математической модели сушки при комбинированном энергоподводе к икорному рыбному сырью на основе кинетики его обезвоживания</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6787-7697</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Арабова</surname>
       <given-names>Зарема Михайловна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Arabova</surname>
       <given-names>Zarema M.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4093-9982</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Нугманов</surname>
       <given-names>Альберт Хамед-Харисович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Nugmanov</surname>
       <given-names>Albert Kh.-Kh.</given-names>
      </name>
     </name-alternatives>
     <email>nugmanov@rgau-msha.ru</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3035-0354</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Бородулин</surname>
       <given-names>Дмитрий Михайлович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Borodulin</surname>
       <given-names>Dmitry M.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5494-1226</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Алексанян</surname>
       <given-names>Игорь Юрьевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Aleksanyan</surname>
       <given-names>Igor Yu.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4863-9834</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Тихонов</surname>
       <given-names>Сергей Леонидович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Tikhonov</surname>
       <given-names>Sergey L.</given-names>
      </name>
     </name-alternatives>
     <email>tihonov75@bk.ru</email>
     <xref ref-type="aff" rid="aff-5"/>
     <xref ref-type="aff" rid="aff-6"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5841-1791</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Тихонова</surname>
       <given-names>Наталья Валерьевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Tikhonova</surname>
       <given-names>Natalya V.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-7"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1131-1552</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Осмоловский</surname>
       <given-names>Павел Дмитриевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Osmolovskiy</surname>
       <given-names>Pavel D.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-8"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт геохимии и аналитической химии имени В. И. Вернадского Российской академии наук</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Vernadsky Institute of Geochemistry and Analytical Chemistry o f the Russian Academy of Sciences</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Российский государственный аграрный университет – МСХА имени К. А. Тимирязева</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Russian Timiryazev State Agrarian University</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Российский государственный аграрный университет – МСХА имени К. А. Тимирязева</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Russian Timiryazev State Agrarian University</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Астраханский государственный технический университет</institution>
     <city>Астрахань</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Astrakhan State Technical University</institution>
     <city>Astrakhan</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-5">
    <aff>
     <institution xml:lang="ru">Уральский государственный лесотехнический университет</institution>
     <city>Екатеринбург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Ural State Forest Engineering University</institution>
     <city>Yekaterinburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-6">
    <aff>
     <institution xml:lang="ru">Уральский государственный аграрный университет</institution>
     <city>Екатеринбург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Ural State Agrarian University</institution>
     <city>Yekaterinburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-7">
    <aff>
     <institution xml:lang="ru">Уральский государственный аграрный университет</institution>
     <city>Екатеринбург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Ural State Agrarian University</institution>
     <city>Yekaterinburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-8">
    <aff>
     <institution xml:lang="ru">Российский государственный аграрный университет – МСХА имени К. А. Тимирязева</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Russian State Agrarian University – Timiryazev Moscow Agricultural Academy</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-10-08T00:00:00+03:00">
    <day>08</day>
    <month>10</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-10-08T00:00:00+03:00">
    <day>08</day>
    <month>10</month>
    <year>2025</year>
   </pub-date>
   <volume>55</volume>
   <issue>3</issue>
   <fpage>454</fpage>
   <lpage>467</lpage>
   <history>
    <date date-type="received" iso-8601-date="2025-03-04T00:00:00+03:00">
     <day>04</day>
     <month>03</month>
     <year>2025</year>
    </date>
    <date date-type="accepted" iso-8601-date="2025-07-01T00:00:00+03:00">
     <day>01</day>
     <month>07</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://fptt.ru/en/issues/23788/23790/">https://fptt.ru/en/issues/23788/23790/</self-uri>
   <abstract xml:lang="ru">
    <p>Удаление влаги (сушка) из биологических материалов дает множество преимуществ, в том числе предотвращает рост микроорганизмов и порчу продукта, а также приводит к снижению затрат на обработку. Разные методы сушки отличаются концептуально и требуют модификации / адаптации в зависимости от высушиваемого биоматериала. Цель исследования – изучить кинетику и оптимальные режимы обезвоживания для повышения эффективности сушки квазижидких продуктов (икорное рыбное сырье) с помощью физико-математического моделирования тепломассопереноса и влагоудаления.&#13;
В работе проведена адаптация существующей математической модели сушки на основе данных о кинетике и обезвоживании икры рыб и лецитинового сгустка из нее при комбинированном энергоподводе. Данная математическая модель необходима для понимания распределения температурного фронта внутри высушиваемого биоматериала и оценки продолжительности сушки. Исследуемые рыбные объекты подвергались обезвоживанию воздушной смесью газов в режиме кондуктивно-конвективного подвода тепловой энергии в лабораторной оригинальной сушильной установке.&#13;
Полученные результаты расчетов были сопоставлены с результатами проведенных экспериментальных испытаний сушки для подобных биоматериалов. Рациональными режимными параметрами процесса сушки икорного продукта выбраны: интенсивность движения теплоносителя – 3,50 м/с; высота высушиваемого слоя – 0,01 м; температура поверхности высушиваемого материала и температура греющей пластины – 313 К; начальная температура для объекта исследования – 283 К; итоговая влажность – 0,10 кг/кг. В таком варианте удельная производительность равна 7,61 кг/(м2·ч), а время сушки до влажности 0,1 кг/кг – 150 мин. Рациональные режимные параметры процесса сушки лецитинового сгустка: интенсивность движения теплоносителя – 2,50 м/с; высота слоя – 0,003 м; температура поверхности высушиваемого материала и температура греющей пластины – 343 К; начальная температура для объекта исследования – 328 К; итоговая влажность – 0,130 кг/кг. При этом удельная производительность равна 13,63 кг/(м2·ч), а время сушки до влажности 0,130 кг/кг – 40 мин.&#13;
Моделирование процессов тепло- и массопереноса позволяет повысить точность расчета и реализовать потенциал энергосбережения без проведения экспериментов, сохраняя при этом качество высушенного продукта. Выявленные кинетические закономерности, оптимальные режимы обезвоживания и результаты моделирования процесса сушки могут быть использованы при проектировании процессов тепло- и массопереноса, а также при проектировании сушильных установок для икорного рыбного сырья.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Removing moisture from biological materials has many advantages since reduced volume means lower processing costs, and drying prevents microbial growth and spoilage. Despite the fact that different drying methods pursue the same goal, they differ conceptually and require modification/adaptation, depending on the biomaterial. The article describes the kinetics and optimal dehydration modes that increase the drying efficiency of quasi-liquid products (roe and skein complex) using physical and mathematical modeling of heat and mass transfer and moisture removal.&#13;
The existing mathematical model for drying with combined energy supply was adapted to fish eggs and lecithin clot. The dehydration kinetics made it possible to understand the temperature distribution inside the dried biomaterial and estimate the drying time. A gas mix served as a drying agent. The calculations were compared with the experimental drying tests for similar biomaterials. The materials were subjected to dehydration in the mode of conductive-convective heat supply in an original laboratory drying unit. The authors identified the kinetic patterns and rational mode parameters to increase the performance.&#13;
The rational operating parameters included the intensity of the coolant movement (3.50 m/s); the height of the dried layer (0.01 m); the surface temperature of the dried material and the temperature of the heating plate (313 K); the initial temperature (283 K); the final moisture content (0.10 kg/kg). Under these parameters, the specific productivity was 7.610 kg/(m2·h), and the drying time to 0.1 kg/kg humidity was 150 min. The rational operating parameters of the lecithin clot included the coolant feeding rate (2.50 m/s); the layer height (0.003 m); the surface temperature of the dried material and the temperature of the heating plate (343 K); the initial temperature (328 K); the final humidity (0.130 kg/kg). In this case, the specific productivity was 13.630 kg/(m2·h), and the drying time to 0.130 kg/kg humidity was 40 min.&#13;
Heat and mass transfer modeling increases the accuracy of calculation, making it possible to realize the energy saving potential without preliminary experiments while maintaining the quality of the dried product. In this research, the kinetic patterns, optimal dehydration modes, and drying models can be applied to heat and mass transfer processes under different production conditions, as well as to design new drying units for fish eggs and lecithin curd.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Биоэкономика</kwd>
    <kwd>икорное рыбное сырье</kwd>
    <kwd>лецитиновый сгусток</kwd>
    <kwd>кинетика сушки</kwd>
    <kwd>комбинированный энергоподвод</kwd>
    <kwd>математическая модель</kwd>
    <kwd>метод конечных разностей</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Bio-economics</kwd>
    <kwd>caviar raw materials</kwd>
    <kwd>lecithin clot</kwd>
    <kwd>drying kinetics</kwd>
    <kwd>combined energy supply</kwd>
    <kwd>mathematical model</kwd>
    <kwd>finite difference method</kwd>
   </kwd-group>
  </article-meta>
 </front>
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