<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<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" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <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">72961</article-id>
   <article-id pub-id-type="doi">10.21603/2074-9414-2023-4-2474</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">Chemical and Thermodynamic Properties of Pure and Multicomponent Sucrose Solutions</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Химико-термодинамические свойства чистых и многокомпонентных растворов сахарозы</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/0000-0003-3279-9649</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Тужилкин</surname>
       <given-names>Вячеслав Иванович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Tuzhilkin</surname>
       <given-names>Vyacheslav I.</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/0000-0002-5859-7263</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Петров</surname>
       <given-names>Сергей Михайлович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Petrov</surname>
       <given-names>Sergey M.</given-names>
      </name>
     </name-alternatives>
     <email>s.petrov@mgutm.ru</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7909-1763</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Подгорнова</surname>
       <given-names>Надежда Михайловна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Podgornova</surname>
       <given-names>Nadezda M.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Российский биотехнологический университет</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Russian Biotechnological University</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Московский государственный университет технологий и управления имени К. Г. Разумовского (Первый казачий университет)</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">K.G. Razumovsky Moscow State University of Technologies and Management (the First Cossack University)</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">ООО НТ-Пром</institution>
     <city>Москва</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">LLC NT-Prom</institution>
     <city>Moscow</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2023-12-30T00:00:00+03:00">
    <day>30</day>
    <month>12</month>
    <year>2023</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2023-12-30T00:00:00+03:00">
    <day>30</day>
    <month>12</month>
    <year>2023</year>
   </pub-date>
   <volume>53</volume>
   <issue>4</issue>
   <fpage>742</fpage>
   <lpage>753</lpage>
   <history>
    <date date-type="received" iso-8601-date="2023-03-30T00:00:00+03:00">
     <day>30</day>
     <month>03</month>
     <year>2023</year>
    </date>
    <date date-type="accepted" iso-8601-date="2023-06-06T00:00:00+03:00">
     <day>06</day>
     <month>06</month>
     <year>2023</year>
    </date>
   </history>
   <self-uri xlink:href="https://fptt.ru/en/issues/22269/22238/">https://fptt.ru/en/issues/22269/22238/</self-uri>
   <abstract xml:lang="ru">
    <p>Расширение и уточнение информативной базы данных в изучении химико-термодинамических свойств растворов сахарозы важно для обоснования технологических режимов процессов выпаривания и кристаллизации в сахарном производстве. Цель работы заключалась в получении уточненных экспериментальных оценок химико-термодинамических свойств чистых и технических многокомпонентных растворов сахарозы.&#13;
Использовали модернизированный эбулиометр с двумя циркуляционными трубками, посредством которого измеряли истинные температуры кипения сильновязких концентрированных и пересыщенных гомогенных растворов и гетерогенных кристаллизующихся систем. Изучили повышение температуры кипения чистых и многокомпонентных растворов сахарозы в диапазоне массовой доли сухих веществ 5–93 %, чистоты 60–100 %, давления 20–100 кПа. &#13;
Растворы сахарозы не подчиняются законам идеальных растворов Рауля, а правила Рамзая – Юнга и Дюринга носят приближенный характер. Однако установили, что понятия активности теории Льюиса корректно описывают термодинамические свойства этих растворов. Получили термодинамическое уравнение, которое описывает повышение температуры кипения чистых и технических многокомпонентных растворов сахарозы. Установили взаимосвязь констант Рамзая – Юнга и Дюринга с концентрацией и пересыщением растворов сахарозы, а также с изменением энтропии этих растворов. Погрешность определения констант составила 2–3 %. В работе показана возможность определения коэффициента пересыщения растворов путем измерения отношения температур кипения раствора и воды. &#13;
В результате исследования предложили практические способы контроля и управления процессом изобарической испарительной кристаллизации на основе измерения дифференциального и относительного эбулиометрических критериев. Результаты работы могут быть использованы при исследовании и оптимизации процесса массовой кристаллизации сахарозы из кипящих растворов.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>To select an optimal mode of evaporation and crystallization, sugar producers need comprehensive databases of chemical and thermodynamic properties of sucrose solutions. This article introduces refined experimental estimates of the chemical and thermodynamic properties of pure and technical multicomponent sucrose solutions. &#13;
The study involved a modernized ebulliometer with two circulation tubes that measured the true boiling points of concentrated and supersaturated homogeneous solutions, as well as heterogeneous crystallizing systems. The boiling points of pure and multicomponent sucrose solutions were observed for the following variables: 5–93% dry solids, 60–100% purity, 20–100 kPa.&#13;
In this study, the sucrose solutions did not obey Raoult’s laws for ideal mixtures, while the Ramsay-Young’s equation and Dühring’s rule were approximate. The thermodynamic properties of these solutions fit in the Lewis theory of activity. The study yielded a new thermodynamic equation for the boiling point in pure and technical multicomponent sucrose solutions. The authors revealed the correlation between the constants of Ramsay-Young and Dühring and the concentration and supersaturation of sucrose solutions, as well as the change in the entropy of these solutions. The error of estimate was 2–3%. The supersaturation coefficient was measured by the ratio of the boiling points of the solution and water. &#13;
The authors used differential and relative ebulliometric criteria to develop some practical methods for monitoring and controlling the process of isobaric evaporative crystallization. The new method can improve the commercial mass sucrose crystallization from boiling solutions.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Сахарсодержащие растворы</kwd>
    <kwd>эбулиометрия</kwd>
    <kwd>эбулиометрические критерии</kwd>
    <kwd>константа Рамзая – Юнга</kwd>
    <kwd>константа Дюринга</kwd>
    <kwd>коэффициент пересыщения</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Sugar-containing solutions</kwd>
    <kwd>ebuliometry</kwd>
    <kwd>ebulliometric criteria</kwd>
    <kwd>constant of Ramsay-Young</kwd>
    <kwd>constant of Dühring</kwd>
    <kwd>supersaturation coefficient</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Borji A, Borji F-E, Jourani A. Sucrose crystallization: Modeling of thermodynamic equilibrium in impure aqueous solutions. International Journal of Innovation Engineering and Science Research. 2019;3(3):7-16.</mixed-citation>
     <mixed-citation xml:lang="en">Borji A, Borji F-E, Jourani A. Sucrose crystallization: Modeling of thermodynamic equilibrium in impure aqueous solutions. International Journal of Innovation Engineering and Science Research. 2019;3(3):7-16.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Shimizu S, Matubayasi N. Sorption: A statistical thermodynamic fluctuation theory. Langmuir. 2021;37(24):7380-7391. https://doi.org/10.1021/acs.langmuir.1c00742</mixed-citation>
     <mixed-citation xml:lang="en">Shimizu S, Matubayasi N. Sorption: A statistical thermodynamic fluctuation theory. Langmuir. 2021;37(24):7380-7391. https://doi.org/10.1021/acs.langmuir.1c00742</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Masimov EA, Pashaev BG, Hasanov GS. Structure of aqueous solutions of sucrose, derived from viscosimetry data and IR spectroscopy. Russian Journal of Physical Chemistry A. 2017;91(4):644-647. (In Russ.). https://doi.org/10.7868/S0044453717040173</mixed-citation>
     <mixed-citation xml:lang="en">Masimov EA, Pashaev BG, Hasanov GS. Structure of aqueous solutions of sucrose, derived from viscosimetry data and IR spectroscopy. Russian Journal of Physical Chemistry A. 2017;91(4):644-647. (In Russ.). https://doi.org/10.7868/S0044453717040173</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Михайлик В. А., Дмитренко Н. В., Снежкин Ю. Ф. Исследование влияния гидратации на теплоту испарения воды из растворов сахарозы // Инженерно-физический журнал. 2019. Т. 92. № 4. С. 945-952. https://www.elibrary.ru/LBMYLH</mixed-citation>
     <mixed-citation xml:lang="en">Mikhailik VA, Dmitrenko NV, Snezhkin YuF. Investigation of the influence of hydration on the heat of evaporation of water from sucrose solutions. Journal of Engineering Physics and Thermophysics. 2019;92(4):945-952. (In Russ.). https://www.elibrary.ru/LBMYLH</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Cherkasov DG, Danilina VV, Il’in KK. Phase equilibria, critical phenomena, and extractive crystallization of the salt in the sodium chloride - water - diisopropylamine ternary system. Russian Journal of Inorganic Chemistry. 2021;66(6):883-890. https://doi.org/10.1134/S0036023621060073</mixed-citation>
     <mixed-citation xml:lang="en">Cherkasov DG, Danilina VV, Il’in KK. Phase equilibria, critical phenomena, and extractive crystallization of the salt in the sodium chloride - water - diisopropylamine ternary system. Russian Journal of Inorganic Chemistry. 2021;66(6):883-890. https://doi.org/10.1134/S0036023621060073</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Merino A, Acebes LF, Alves R, de Prada C. Real Time Optimization for steam management in an evaporation section. Control Engineering Practice. 2018;79:91-104. https://doi.org/10.1016/j.conengprac.2018.07.010</mixed-citation>
     <mixed-citation xml:lang="en">Merino A, Acebes LF, Alves R, de Prada C. Real Time Optimization for steam management in an evaporation section. Control Engineering Practice. 2018;79:91-104. https://doi.org/10.1016/j.conengprac.2018.07.010</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Chantasiriwan S. Modification of conventional sugar juice evaporation process for increasing energy efficiency and decreasing sucrose inversion loss. Processes. 2020;8(7). https://doi.org/10.3390/pr8070765</mixed-citation>
     <mixed-citation xml:lang="en">Chantasiriwan S. Modification of conventional sugar juice evaporation process for increasing energy efficiency and decreasing sucrose inversion loss. Processes. 2020;8(7). https://doi.org/10.3390/pr8070765</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Subbiah B, Blank UKM, Morison KR. A review, analysis and extension of water activity data of sugars and model honey solutions. Food Chemistry. 2020;326. https://doi.org/10.1016/j.foodchem.2020.126981</mixed-citation>
     <mixed-citation xml:lang="en">Subbiah B, Blank UKM, Morison KR. A review, analysis and extension of water activity data of sugars and model honey solutions. Food Chemistry. 2020;326. https://doi.org/10.1016/j.foodchem.2020.126981</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Blankschtein D. Criteria of phase equilibria, and the Gibbs Phase Rule. In: Blankschtein D, editor. Lectures in classical thermodynamics with an introduction to statistical mechanics. Cham: Springer; 2020. pp. 281-289. https://doi.org/10.1007/978-3-030-49198-7_27</mixed-citation>
     <mixed-citation xml:lang="en">Blankschtein D. Criteria of phase equilibria, and the Gibbs Phase Rule. In: Blankschtein D, editor. Lectures in classical thermodynamics with an introduction to statistical mechanics. Cham: Springer; 2020. pp. 281-289. https://doi.org/10.1007/978-3-030-49198-7_27</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Soares RM, Câmara MM, Feital T, Pinto JC. Digital twin for monitoring of industrial multi-effect evaporation. Processes. 2019;7(8). https://doi.org/10.3390/pr7080537</mixed-citation>
     <mixed-citation xml:lang="en">Soares RM, Câmara MM, Feital T, Pinto JC. Digital twin for monitoring of industrial multi-effect evaporation. Processes. 2019;7(8). https://doi.org/10.3390/pr7080537</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Cyklis P. Effect of fouling on falling film evaporator performance in industrial conditions of fruit juice concentrate production. Journal of Food Engineering. 2020;317. https://doi.org/10.1016/j.jfoodeng.2021.110884</mixed-citation>
     <mixed-citation xml:lang="en">Cyklis P. Effect of fouling on falling film evaporator performance in industrial conditions of fruit juice concentrate production. Journal of Food Engineering. 2020;317. https://doi.org/10.1016/j.jfoodeng.2021.110884</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Simon AI, Grigoras CG, Rusu L, Dabija A. Modeling of the thermo-physical properties of aqueous sucrose solutions ii. Boiling point, specific heat capacity and thermal conductivity. Food and Environment Safety. 2017;10(4):49-56.</mixed-citation>
     <mixed-citation xml:lang="en">Simon AI, Grigoras CG, Rusu L, Dabija A. Modeling of the thermo-physical properties of aqueous sucrose solutions ii. Boiling point, specific heat capacity and thermal conductivity. Food and Environment Safety. 2017;10(4):49-56.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yadav D, Sharma TK, Sharma V, Verma OP. Optimizing the energy efficiency of multiple effect evaporator house using metaheuristic approaches. International Journal of System Assurance Engineering and Management. 2021. https://doi.org/10.1007/s13198-021-01429-9</mixed-citation>
     <mixed-citation xml:lang="en">Yadav D, Sharma TK, Sharma V, Verma OP. Optimizing the energy efficiency of multiple effect evaporator house using metaheuristic approaches. International Journal of System Assurance Engineering and Management. 2021. https://doi.org/10.1007/s13198-021-01429-9</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Verma P, Iyer SR, Shah N, Mahajani S. Insights into the crystallization phenomenon in the production of non-centrifugal sugar. Journal of Food Engineering. 2021;290. https://doi.org/10.1016/j.jfoodeng.2020.110259</mixed-citation>
     <mixed-citation xml:lang="en">Verma P, Iyer SR, Shah N, Mahajani S. Insights into the crystallization phenomenon in the production of non-centrifugal sugar. Journal of Food Engineering. 2021;290. https://doi.org/10.1016/j.jfoodeng.2020.110259</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Tuzhilkin VI, Balykhin MG, Petrov SM, Podgornova NM, Lukin ND, Kovalyonok VA. Mathematical description of the isobaric vaporizing crystallization of sucrose. Journal of Food Engineering. 2021;306. https://doi.org/10.1016/j.jfoodeng.2021.110614</mixed-citation>
     <mixed-citation xml:lang="en">Tuzhilkin VI, Balykhin MG, Petrov SM, Podgornova NM, Lukin ND, Kovalyonok VA. Mathematical description of the isobaric vaporizing crystallization of sucrose. Journal of Food Engineering. 2021;306. https://doi.org/10.1016/j.jfoodeng.2021.110614</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Dias RM, Chiavone-Filho O, Bernardo A, Giulietti M. Vapour-liquid equilibria for (water + ethanol + fructose): Experimental data and thermodynamic modelling. The Journal of Chemical Thermodynamics. 2017;115:27-33. https://doi.org/10.1016/j.jct.2017.07.021</mixed-citation>
     <mixed-citation xml:lang="en">Dias RM, Chiavone-Filho O, Bernardo A, Giulietti M. Vapour-liquid equilibria for (water + ethanol + fructose): Experimental data and thermodynamic modelling. The Journal of Chemical Thermodynamics. 2017;115:27-33. https://doi.org/10.1016/j.jct.2017.07.021</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lei Q, Wang H. Noise-tolerant co-trained semisupervised soft sensor model for industrial process. IEEE Sensors Journal. 2022;22(20):19411-19423. https://doi.org/10.1109/JSEN.2022.3201706</mixed-citation>
     <mixed-citation xml:lang="en">Lei Q, Wang H. Noise-tolerant co-trained semisupervised soft sensor model for industrial process. IEEE Sensors Journal. 2022;22(20):19411-19423. https://doi.org/10.1109/JSEN.2022.3201706</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">de Castro BJC, Marciniuk Junior M, Giulietti M, Bernardo A. Sucrose crystallization: Modeling and evaluation of production responses to typical process fluctuations. Brazilian Journal of Chemical Engineering. 2019;36(3):1237-1253. https://doi.org/10.1590/0104-6632.20190363s20180240</mixed-citation>
     <mixed-citation xml:lang="en">de Castro BJC, Marciniuk Junior M, Giulietti M, Bernardo A. Sucrose crystallization: Modeling and evaluation of production responses to typical process fluctuations. Brazilian Journal of Chemical Engineering. 2019;36(3):1237-1253. https://doi.org/10.1590/0104-6632.20190363s20180240</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kuruba EK, Jagannadha Rao PVK, Khokhar D, Patel S. Technologies for preparation of solid and granular jaggery: A review. Current Journal of Applied Science and Technology. 2020;39(30):105-113. https://doi.org/10.9734/cjast/2020/v39i3030978</mixed-citation>
     <mixed-citation xml:lang="en">Kuruba EK, Jagannadha Rao PVK, Khokhar D, Patel S. Technologies for preparation of solid and granular jaggery: A review. Current Journal of Applied Science and Technology. 2020;39(30):105-113. https://doi.org/10.9734/cjast/2020/v39i3030978</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Xiao Z, Liao X, Guo S. Analysis of sugarcane juice quality indexes. Journal of Food Quality. 2017;2017. https://doi.org/10.1155/2017/1746982</mixed-citation>
     <mixed-citation xml:lang="en">Xiao Z, Liao X, Guo S. Analysis of sugarcane juice quality indexes. Journal of Food Quality. 2017;2017. https://doi.org/10.1155/2017/1746982</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Martins MJN, Guimarães B, Polachini TC, Telis-Romero J. Thermophysical properties of carbohydrate solutions: Correlation between thermal and transport properties. Journal of Food Process Engineering. 2020;43(9). https://doi.org/10.1111/jfpe.13483</mixed-citation>
     <mixed-citation xml:lang="en">Martins MJN, Guimarães B, Polachini TC, Telis-Romero J. Thermophysical properties of carbohydrate solutions: Correlation between thermal and transport properties. Journal of Food Process Engineering. 2020;43(9). https://doi.org/10.1111/jfpe.13483</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mncube FS, Love DJ, Sikhakhane P, Ogle D, Mtembu T. Automation of white pans at the Tongaat Hulett refinery. International Sugar Journal. 2018;120.</mixed-citation>
     <mixed-citation xml:lang="en">Mncube FS, Love DJ, Sikhakhane P, Ogle D, Mtembu T. Automation of white pans at the Tongaat Hulett refinery. International Sugar Journal. 2018;120.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Taguchi H, Nakakubo J, Matsuda H, Kurihara K, Tochigi K. Determination of vapor - liquid equilibria at elevated pressures using ebulliometer. Journal of Chemical Engineering of Japan. 2016;49(4):317-323. https://doi.org/10.1252/jcej.14we263</mixed-citation>
     <mixed-citation xml:lang="en">Taguchi H, Nakakubo J, Matsuda H, Kurihara K, Tochigi K. Determination of vapor - liquid equilibria at elevated pressures using ebulliometer. Journal of Chemical Engineering of Japan. 2016;49(4):317-323. https://doi.org/10.1252/jcej.14we263</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Тужилкин В. И. Кристаллизация сахара. М.: Московский государственный университет пищевых производств, 2007. 336 с. https://www.elibrary.ru/WDJLDC</mixed-citation>
     <mixed-citation xml:lang="en">Tuzhilkin VI. Sugar crystallization. Moscow: Moscow State Univetsity of Food Production; 2007. 336 p. (In Russ.). https://www.elibrary.ru/WDJLDC</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B25">
    <label>25.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ivanov IV, Lotkhov VA, Tikhonov AY, Kulov NN. Vapor-liquid-liquid phase equilibrium in four-component benzene-heptane-n-methylpyrrolidone-sulfolane system. Theoretical Foundations of Chemical Engineering. 2015;49(2):131-143. (In Russ.). https://doi.org/10.7868/S0040357115020049</mixed-citation>
     <mixed-citation xml:lang="en">Ivanov IV, Lotkhov VA, Tikhonov AY, Kulov NN. Vapor-liquid-liquid phase equilibrium in four-component benzene-heptane-n-methylpyrrolidone-sulfolane system. Theoretical Foundations of Chemical Engineering. 2015;49(2):131-143. (In Russ.). https://doi.org/10.7868/S0040357115020049</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B26">
    <label>26.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sun L, Lei Q,  Peng B,  Kontogeorgis GM,  Liang X. An analysis of the parameters in the Debye-Hückel theory. Fluid Phase Equilibria. 2022;556. https://doi.org/10.1016/j.fluid.2022.113398</mixed-citation>
     <mixed-citation xml:lang="en">Sun L, Lei Q,  Peng B,  Kontogeorgis GM,  Liang X. An analysis of the parameters in the Debye-Hückel theory. Fluid Phase Equilibria. 2022;556. https://doi.org/10.1016/j.fluid.2022.113398</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B27">
    <label>27.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Paese LT, Spengler RL, Soares RP, Staudt PB. Predicting phase equilibrium of aqueous sugar solutions and industrial juices using COSMO-SAC. Journal of Food Engineering. 2020;274. https://doi.org/10.1016/j.jfoodeng.2019.109836</mixed-citation>
     <mixed-citation xml:lang="en">Paese LT, Spengler RL, Soares RP, Staudt PB. Predicting phase equilibrium of aqueous sugar solutions and industrial juices using COSMO-SAC. Journal of Food Engineering. 2020;274. https://doi.org/10.1016/j.jfoodeng.2019.109836</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B28">
    <label>28.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Guedes AR, Corazza ML, Zanoelo EF. Boiling point, specific heat and density measurements and modeling of soybean molasses and its aqueous solutions. Journal of Food Process Engineering. 2015;39(3):283-295. https://doi.org/10.1111/jfpe.12221</mixed-citation>
     <mixed-citation xml:lang="en">Guedes AR, Corazza ML, Zanoelo EF. Boiling point, specific heat and density measurements and modeling of soybean molasses and its aqueous solutions. Journal of Food Process Engineering. 2015;39(3):283-295. https://doi.org/10.1111/jfpe.12221</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B29">
    <label>29.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fowkes N, Hennessy MG, Moyles I, Thompson S, Fareo G, Atherfold J. Hard to boil massecuite. Food and Drink. 2021:30-53. https://doi.org/10.33774/miir-2021-thlbl</mixed-citation>
     <mixed-citation xml:lang="en">Fowkes N, Hennessy MG, Moyles I, Thompson S, Fareo G, Atherfold J. Hard to boil massecuite. Food and Drink. 2021:30-53. https://doi.org/10.33774/miir-2021-thlbl</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B30">
    <label>30.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Moghimi M, Roosta A. Physical properties of aqueous mixtures of (choline chloride + glucose) deep eutectic solvents. The Journal of Chemical Thermodynamics. 2019;129:159-165. https://doi.org/10.1016/j.jct.2018.09.029</mixed-citation>
     <mixed-citation xml:lang="en">Moghimi M, Roosta A. Physical properties of aqueous mixtures of (choline chloride + glucose) deep eutectic solvents. The Journal of Chemical Thermodynamics. 2019;129:159-165. https://doi.org/10.1016/j.jct.2018.09.029</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B31">
    <label>31.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Agarwal R, Gupta RR. Computational study of crystallization. In: Gangawane K, Dwivedi M, editors. Advanced computational techniques for heat and mass transfer in food processing. Boca Raton: CRC Press; 2022. pp. 211-234. https://doi.org/10.1201/9781003159520</mixed-citation>
     <mixed-citation xml:lang="en">Agarwal R, Gupta RR. Computational study of crystallization. In: Gangawane K, Dwivedi M, editors. Advanced computational techniques for heat and mass transfer in food processing. Boca Raton: CRC Press; 2022. pp. 211-234. https://doi.org/10.1201/9781003159520</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B32">
    <label>32.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Elsayed ML, Wu W, Chow LC. High salinity seawater boiling point elevation: Experimental verification. Desalination. 2021;504. https://doi.org/10.1016/j.desal.2021.114955</mixed-citation>
     <mixed-citation xml:lang="en">Elsayed ML, Wu W, Chow LC. High salinity seawater boiling point elevation: Experimental verification. Desalination. 2021;504. https://doi.org/10.1016/j.desal.2021.114955</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B33">
    <label>33.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Umo AM, Alabi SB. Advances in super-saturation measurement and estimation methods for sugar crystallisation process. International Journal of Food Engineering. 2016;2(2):108-112. https://doi.org/10.18178/ijfe.2.2.108-112</mixed-citation>
     <mixed-citation xml:lang="en">Umo AM, Alabi SB. Advances in super-saturation measurement and estimation methods for sugar crystallisation process. International Journal of Food Engineering. 2016;2(2):108-112. https://doi.org/10.18178/ijfe.2.2.108-112</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B34">
    <label>34.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Rozsa L, Arriaza GM, Romero MT. Advanced control of crystallisation based on the direct use of on-line data on supersaturation: Theory and Practice. In: Sugar industry technologists annual meeting. China: Guangzhou; 2015.</mixed-citation>
     <mixed-citation xml:lang="en">Rozsa L, Arriaza GM, Romero MT. Advanced control of crystallisation based on the direct use of on-line data on supersaturation: Theory and Practice. In: Sugar industry technologists annual meeting. China: Guangzhou; 2015.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B35">
    <label>35.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Rózsa L, Rózsa J, Kilpinen S, Mielonen E. Selection of the operating parameters in sugar crystallization control. In: Sugar Industry Technologists' Annual Conference. Florida: Bonita Springs; 2018.</mixed-citation>
     <mixed-citation xml:lang="en">Rózsa L, Rózsa J, Kilpinen S, Mielonen E. Selection of the operating parameters in sugar crystallization control. In: Sugar Industry Technologists' Annual Conference. Florida: Bonita Springs; 2018.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B36">
    <label>36.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Оперативный учет и контроль свеклосахарного производства / В. И. Тужилкин [и др.] // Хранение и переработка сельхозсырья. 2019. № 1. С. 20-34. https://www.elibrary.ru/EFOWXD</mixed-citation>
     <mixed-citation xml:lang="en">Tuzhilkin VI, Klemeshov DA, Donenko GA, Lukin ND. Operational accounting and control of sugar-beet manufacturing. Storage and Processing of Farm Products. 2019;(1):20-34. (In Russ.). https://www.elibrary.ru/EFOWXD</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B37">
    <label>37.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Petrov SM, Zagorulko YeA. Impedancemetric control of sugar massecuite boiling. International Sugar Journal. 2005;107(1284):693-699.</mixed-citation>
     <mixed-citation xml:lang="en">Petrov SM, Zagorulko YeA. Impedancemetric control of sugar massecuite boiling. International Sugar Journal. 2005;107(1284):693-699.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B38">
    <label>38.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">de Cindio B. Thermodynamic properties of food materials. In: Jafari SM, editor. Engineering principles of unit operations in food processing. Volume 1: Unit operations and processing equipment in the food industry. Woodhead Publishing; 2021. pp. 65-106. https://doi.org/10.1016/B978-0-12-818473-8.00002-5</mixed-citation>
     <mixed-citation xml:lang="en">de Cindio B. Thermodynamic properties of food materials. In: Jafari SM, editor. Engineering principles of unit operations in food processing. Volume 1: Unit operations and processing equipment in the food industry. Woodhead Publishing; 2021. pp. 65-106. https://doi.org/10.1016/B978-0-12-818473-8.00002-5</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
