<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">cvmet</journal-id><journal-title-group><journal-title xml:lang="ru">Известия вузов. Цветная металлургия</journal-title><trans-title-group xml:lang="en"><trans-title>Izvestiya. Non-Ferrous Metallurgy</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0021-3438</issn><issn pub-type="epub">2412-8783</issn><publisher><publisher-name>НИТУ МИСИС</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/0021-3438-2016-6-14-20</article-id><article-id custom-type="elpub" pub-id-type="custom">cvmet-406</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>Металлургия цветных металлов</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Metallurgy of Non-Ferrous Metals</subject></subj-group></article-categories><title-group><article-title>МОДЕЛИРОВАНИЕ ЭЛЕКТРИЧЕСКИХ И ТЕПЛОВЫХ ПОЛЕЙ В ЭЛЕКТРОЛИЗЕРЕ С ЖИДКОМЕТАЛЛИЧЕСКИМИ ЭЛЕКТРОДАМИ</article-title><trans-title-group xml:lang="en"><trans-title>ELECTRIC AND THERMAL FIELD MODELING IN ELECTROLYZER WITH LIQUID METAL ELECTRODES</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>Ефремов</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Efremov</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>мл. науч. сотрудник лаборатории радиохимии ИВТЭ УрО РАН</p></bio><bio xml:lang="en"><p>Junior Researcher of Radiochemistry laboratory</p></bio><email xlink:type="simple">alexandr_efremoff@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>Хохлов</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Khokhlov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>докт. хим. наук, гл. науч. сотрудник лаборатории расплавленных солей ИВТЭ УрО РАН, проф. кафедры неорганической химии УрФУ</p></bio><bio xml:lang="en"><p>Dr. Sci. (Chem.), Prof., Major Researcher of Laboratory of molten salts, IHTE UrB RAS, Prof. of Department of inorganic chemistry, Ural Federal University</p></bio><email xlink:type="simple">vladkhokh@mail.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>Исупов</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Isupov</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>мл. науч. сотрудник лаборатории расплавленных солей ИВТЭ УрО РАН</p></bio><bio xml:lang="en"><p>Junior Researcher of Laboratory of molten salts</p></bio><email xlink:type="simple">isupov.s.v@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>Зайков</surname><given-names>Ю. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Zaikov</surname><given-names>Yu. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>докт. хим. наук, проф., зав. кафедрой технологии электрохимических производств УрФУ, науч. руководитель ИВТЭ УрО РАН</p></bio><bio xml:lang="en"><p>Dr. Sci. (Chem.), Prof., Research Supervisor of IHTE UrB RAS, Head of Department «Technology of electrochemical productions», UrFU</p></bio><email xlink:type="simple">dir@ihte.uran.ru</email><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт высокотемпературной электрохимии (ИВТЭ) УрО РАН, г. Екатеринбург</institution><country>Россия</country></aff><aff xml:lang="en"><institution>IHTE UrB RAS</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт высокотемпературной электрохимии (ИВТЭ) УрО РАН, &#13;
Уральский федеральный университет имени первого Президента России Б.Н. Ельцина (УрФУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>IHTE UrB RAS,&#13;
Ural Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Институт высокотемпературной электрохимии (ИВТЭ) УрО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>IHTE UrB RAS</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Институт высокотемпературной электрохимии (ИВТЭ) УрО РАН, &#13;
Уральский федеральный университет имени первого Президента России Б.Н. Ельцина (УрФУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>IHTE UrB RAS,&#13;
UrFU</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>01</day><month>02</month><year>2017</year></pub-date><volume>0</volume><issue>6</issue><fpage>14</fpage><lpage>20</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ефремов А.Н., Хохлов В.А., Исупов С.В., Зайков Ю.П., 2017</copyright-statement><copyright-year>2017</copyright-year><copyright-holder xml:lang="ru">Ефремов А.Н., Хохлов В.А., Исупов С.В., Зайков Ю.П.</copyright-holder><copyright-holder xml:lang="en">Efremov A.N., Khokhlov V.A., Isupov S.V., Zaikov Y.P.</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://cvmet.misis.ru/jour/article/view/406">https://cvmet.misis.ru/jour/article/view/406</self-uri><abstract><p>Методом математического моделирования изучено влияние состава расплавленного электролита и геометрической конфигурации электролизера с жидкометаллическими свинцовыми электродами на пространственное распределение постоянного тока и температуры в аппарате типа «тигель в тигле», рассмотренном в качестве прототипа устройства для переработки отработавшего ядерного топлива. Показано, что рассчитанные по модели параметры хорошо согласуются с экспериментальными данными.</p></abstract><trans-abstract xml:lang="en"><p>The paper uses mathematical modeling to study the influence of molten electrolyte composition and the geometric configuration of the electrolyzer with liquid metal lead electrodes on the spatial distribution of DC and the temperature in the «crucible in crucible» type apparatus considered as a prototype of the device for reprocessing of spent nuclear fuel. It is shown that the calculated model parameters are in good agreement with the experimental data.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>моделирование</kwd><kwd>электрическое поле</kwd><kwd>тепловое поле</kwd><kwd>рафинирование</kwd><kwd>жидкометаллические электроды</kwd></kwd-group><kwd-group xml:lang="en"><kwd>modeling</kwd><kwd>electric field</kwd><kwd>thermal field</kwd><kwd>refining</kwd><kwd>liquid metal electrodes</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">Sakamura Y., Shirai O., Iwai T., Suzuki Y. Distribution behavior of plutonium and americium in LiCl—KCl eutectic. Liquid cadmium systems // J. Alloys and Compounds. 2001. Vol. 321. P. 76 —83.</mixed-citation><mixed-citation xml:lang="en">Sakamura Y., Shirai O., Iwai T., Suzuki Y. Distribution behavior of plutonium and americium in LiCl—KCl eutectic. Liquid cadmium systems. J. Alloys and Compounds. 2001. Vol. 321. P. 76—83.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Hebditch D., Hanson B., Lewin R., Beetham S., Jenkins J., Sims H. Electrorefining of uranium and electro partitioning of U, Pu, Am, Nd and Ce // Proc. of Global 2003 (New Orleans, LA, November 16—20, 2003). P. 1574—1581.</mixed-citation><mixed-citation xml:lang="en">Hebditch D., Hanson B., Lewin R., Beetham S., Jenkins J., Sims H. Electrorefining of uranium and electro partitioning of U, Pu, Am, Nd and Ce. In: Proc. of Global 2003 (New Orleans, LA, November 16—20, 2003). P. 1574— 1581.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Satoh T., Iwai T., Arai Y. Electrolysis of burn up-simulated uranium nitride fuels in LiCl—KCl eutectic melts // J. Nucl. Sci. Technol. 2009. Vol. 46. P. 557—563.</mixed-citation><mixed-citation xml:lang="en">Satoh T., Iwai T., Arai Y. Electrolysis of burn up-simulated uranium nitride fuels in LiCl—KCl eutectic melts. J. Nucl. Sci. Technol. 2009. Vol. 46. P. 557—563.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Song K, Lee H., Hur J., Kim J., Ahn D., Cho Y. Status of pyroprocessing technology development in Korea // Nucl. Eng. Technol. 2010. Vol. 42. P. 131—144.</mixed-citation><mixed-citation xml:lang="en">Song K, Lee H., Hur J., Kim J., Ahn D., Cho Y. Status of pyroprocessing technology development in Korea. Nucl. Eng. Technol. 2010. Vol. 42. P. 131—144.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Koyama T., Sakamura Y., Iizuka M., Kato T., Murakami T., Glatz J.-P. Development of pyro-processing fuel cycle technology for closing actinide cycle // Proc. Chem. 2012. Vol. 7. P. 772—778.</mixed-citation><mixed-citation xml:lang="en">Koyama T., Sakamura Y., Iizuka M., Kato T., Murakami T., Glatz J.-P. Development of pyro-processing fuel cycle technology for closing actinide cycle. Proc. Chem. 2012. Vol. 7. P. 772—778.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Shirai O., Uozumi K., Iwai T., Arai Y. Electrode reaction of the U3+/U couple at liquid Cd and Bi electrodes in LiCl— KCl eutectic melts // Anal. Sci. 2001. Vol. 17. P. i959—i962.</mixed-citation><mixed-citation xml:lang="en">Shirai O., Uozumi K., Iwai T., Arai Y. Electrode reaction of the U3+/U couple at liquid Cd and Bi electrodes in LiCl— KCl eutectic melts. Anal. Sci. 2001. Vol. 17. P. i959—i962.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Smolenski V., Novoselova A., Osipenko A., Kormilitsyn M., Luk’yanova Ya. Thermodynamics of separation of uranium from neodymium between the gallium-indium liquid alloy and the LiCl—KCl molten salt phases // Electrochim. Acta. 2014. Vol. 133. P. 354—358.</mixed-citation><mixed-citation xml:lang="en">Smolenski V., Novoselova A., Osipenko A., Kormilitsyn M., Luk’yanova Ya. Thermodynamics of separation of uranium from neodymium between the gallium-indium liquid alloy and the LiCl—KCl molten salt phases. Electrochim. Acta. 2014. Vol. 133. P. 354—358.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Smolenski V., Novoselova A., Osipenko A., Maershin A. Thermodynamics and separation factor of uranium from lanthanum in liquid eutectic gallium-indium alloy/molten salt system // Electrochim. Acta. 2014. Vol. 145. P. 81—85.</mixed-citation><mixed-citation xml:lang="en">Smolenski V., Novoselova A., Osipenko A., Maershin A. Thermodynamics and separation factor of uranium from lanthanum in liquid eutectic gallium-indium alloy/molten salt system. Electrochim. Acta. 2014. Vol. 145. P. 81—85.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Omel’chuk A.A. Thin-layered electrolysis in molten electrolytes // Russ. J. Electrochem. 2007. Vol. 43. P. 1007—1015.</mixed-citation><mixed-citation xml:lang="en">Omel’chuk A.A. Thin-layered electrolysis in molten electrolytes. Russ. J. Electrochem. 2007. Vol. 43. P. 1007—1015.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Делимарский Ю.К., Зарубицкий О.Г. Электролитическое рафинирование тяжелых металлов в ионных расплавах. М.: Металлургия, 1975.</mixed-citation><mixed-citation xml:lang="en">Delimarskij Yu.K., Zarubitskij O.G. Electroliticheskoe rafinirovanie tyazholyh metallov v ionnyh rasplavah [Electrolytic refining of heavy metals in the ionic melts]. Mos-cow: Metallurgiya, 1975.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Делимарский Ю.К. Теоретические основы электролиза ионных расплавов. М.: Металлургия, 1986.</mixed-citation><mixed-citation xml:lang="en">Delimarskij Yu.K. Teoreticheskie osnovy electroliza ionnyh rasplavov [Fundamentals for a electrolysis of ionic melts]. Moscow: Metallurgiya, 1986.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Omel’chuk A.A. Electrorefining of heavy nonferrous metals in molten electrolytes // Russ. J. Electrochem. 2010. Vol. 46. P. 680—690.</mixed-citation><mixed-citation xml:lang="en">Omel’chuk A.A. Electrorefining of heavy nonferrous metals in molten electrolytes. Russ. J. Electrochem. 2010. Vol. 46. P. 680—690.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Efremov A.N., Khalimullina Yu.R., Pershin P.S., Arkhipov P.A., Zaikov Yu.P. Influence of the electrolyte composition on the current distribution in an electrolytic cell with liquid metal electrodes // Russ. Metallurgy (Metally). 2015. No. 2. P. 115—120.</mixed-citation><mixed-citation xml:lang="en">Efremov A.N., Khalimullina Yu.R., Pershin P.S., Arkhipov P.A., Zaikov Yu.P. Influence of the electrolyte composition on the current distribution in an electrolytic cell with liquid metal electrodes. Russ. Metallurgy (Metally). 2015. No. 2. P. 115—120.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Иванов В.Т., Щербинин С.А., Галимов А.А. Математическое моделирование электротепломассопереноса в сложных системах. Уфа: БНЦ УрО РАН СССР, 1991.</mixed-citation><mixed-citation xml:lang="en">Ivanov V.T., Scherbinin S.A., Galimov A.A. Matematicheskoe modelirovanie electroteplomassoperenosa v slozhnyh sistemah [Mathematic modeling of electro, heat and mass transfer in complex systems]. Ufa: BSC UB RAS USSR, 1991.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Бессонов Л.А. Теоретические основы электротехники. Электромагнитное поле. М.: Высш. шк., 1978.</mixed-citation><mixed-citation xml:lang="en">Bessonov L.A. Teoreticheskie osnovy electrotehniki. Elect-romagnitnoe pole [Fundamentals of electrical engineering. An electromagnetic field]. Moscow: Vysshaya shkola, 1978.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Сегерлинд Л. Применение метода конечных элементов. М.: Мир, 1979.</mixed-citation><mixed-citation xml:lang="en">Segerlind L. Primenenie metoda konechnyh elementov [Application of the finite element method]. Moscow: Mir, 1979.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Балкевич В.Л. Техническая керамика: Учеб. пос. для втузов. 2-е изд. М.: Стройиздат, 1984.</mixed-citation><mixed-citation xml:lang="en">Balkevich V.L. Tehnicheskaya keramika [Technical ceramics: textbook for technical colleges]. Moscow: Stroiizdat, 1984.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">ASM Metals Handbook. Vol. 1: Properties and selection: irons, steels, and high-performance alloys. 10-th ed. Ohio: ASM International, 1990.</mixed-citation><mixed-citation xml:lang="en">ASM Metals Handbook. Vol. 1: Properties and selection: irons, steels, and high-performance alloys. 10-th ed. Ohio: ASM International, 1990.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Desai P.D., Chu T.K., James H.M., Ho C.Y. Electrical Re-sistivity of selected elements // J. Phys. Chem. Ref. Data. 1984. Vol. 13. No. 4. P. 1069—1096.</mixed-citation><mixed-citation xml:lang="en">Desai P.D., Chu T.K., James H.M., Ho C.Y. Electrical Resistivity of selected elements. J. Phys. Chem. Ref. Data. 1984. Vol. 13. No. 4. P. 1069—1096.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Shinno H., Kitajima M., Okada M. Thermal stress analysis of high heat flux materials // J. Nucl. Mater. 1988. Vol. 155—157 P. 290—294.</mixed-citation><mixed-citation xml:lang="en">Shinno H., Kitajima M., Okada M. Thermal stress analysis of high heat flux materials. J. Nucl. Mater. 1988. Vol. 155—157. P. 290—294.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Giordanengo B., Benazzi N., Vinckel J., Gasser J.G., Roubi L. Thermal conductivity of liquid metals and metallic alloys // J. Non-Crystal. Sol. 2000. Vol. 250—252. P. 377—383.</mixed-citation><mixed-citation xml:lang="en">Giordanengo B., Benazzi N., Vinckel J., Gasser J.G., Roubi L. Thermal conductivity of liquid metals and metallic alloys. J. Non-Crystal. Sol. 2000. Vol. 250—252. P. 377—383.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Gale W.F., Totemeier T.C. Smithells metals reference book. 8-th ed. Amsterdam: Elsevier, 2004.</mixed-citation><mixed-citation xml:lang="en">Gale W.F., Totemeier T.C. Smithells metals reference book. 8-th ed. Amsterdam: Elsevier, 2004.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Iida. T., R.I.L. Guthrie. The physical properties of liquid metals. Oxford: Clarendon Press, 1988.</mixed-citation><mixed-citation xml:lang="en">Iida. T., R.I.L. Guthrie. The physical properties of liquid metals. Oxford: Clarendon Press, 1988.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Efremov A.N., Arkhipov P.A., Zaikov Yu.P. Simulation of the electric field in an electrolytic cell with a liquid metal anode // Russ. Metallurgy (Metally). 2013. No. 2. P. 96—99.</mixed-citation><mixed-citation xml:lang="en">Efremov A.N., Arkhipov P.A., Zaikov Yu.P. Simulation of the electric field in an electrolytic cell with a liquid metal anode. Russ. Metallurgy (Metally). 2013. No. 2. P. 96—99.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Левич В.Г. Физико-химическая гидродинамика. М.: ГИФМЛ, 1959.</mixed-citation><mixed-citation xml:lang="en">Levich V.G. Fiziko-khimicheskaya gidrodinamika [Physicochemical hydrodynamics]. Moscow: GIFML, 1959.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
