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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">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">10.17073/0021-3438-2019-1-75-81</article-id><article-id custom-type="elpub" pub-id-type="custom">cvmet-869</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>Энерго- и ресурсосбережение</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Energy and Resource Saving</subject></subj-group></article-categories><title-group><article-title>Эффективность электрохимическом мембранной очистки технологических растворов от сульфата меди и тринатрийфосфата</article-title><trans-title-group xml:lang="en"><trans-title>Efficiency of electrochemical membrane cleaning of process solutions from copper sulphate and trisodium phosphate</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>Абоносимов</surname><given-names>О. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Abonosimov</surname><given-names>O. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, доцент кафедры прикладной геометрии и компьютерной графики ТГТУ.</p><p>392000, Тамбов, ул. Советская, 106</p></bio><bio xml:lang="en"><p>Dr. Sci. (Tech.), associate prof., Department of applied geometry and computer graphics.</p><p>392000, Tambov, Sovetskaya str., 106</p></bio><email xlink:type="simple">abontam@inbox.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>Лазарев</surname><given-names>С. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Lazarev</surname><given-names>S. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, профессор, заведующий кафедрой прикладной геометрии и компьютерной графики ТГТУ.</p></bio><bio xml:lang="en"><p>Dr. Sci. (Tech.), prof., head of the Department of applied geometry and computer graphics, TSTU.</p><p>Tambov</p></bio><email xlink:type="simple">sergey.lazarev.1962@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>Котенев</surname><given-names>С. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Kotenev</surname><given-names>S. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Магистрант кафедры прикладной геометрии и компьютерной графики ТГТУ.</p></bio><bio xml:lang="en"><p>Postraduate student of the Department of applied geometry and computer graphics, TSTU.</p><p>Tambov</p></bio><email xlink:type="simple">kotenev.igor@yandex.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>Селиванов</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Selivanov</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Соискатель кафедры прикладной геометрии и компьютерной графики ТГТУ.</p></bio><bio xml:lang="en"><p>Applicant of the Department of applied geometry and computer graphics, TSTU.</p><p>Tambov</p></bio><email xlink:type="simple">selivanov@transstal.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>Полянский</surname><given-names>К. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Polyanskiy</surname><given-names>K. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, профессор кафедры коммерции и товароведения.</p><p>394030, Воронеж, ул. Карла Маркса, 67А</p></bio><bio xml:lang="en"><p>Dr. Sci. (Tech.), prof., Department of commerce and commodity science.</p><p>394030, Voronezh, Karl Marx str., 67A</p></bio><email xlink:type="simple">tovar201@list.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Тамбовский государственный технический университет (ТГТУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Tambov State Technical University (TSTU)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Воронежский филиал Российского экономического университета им. Г.В. Плеханова</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Voronezh Branch of the Russian Economic University n.a. G.V. Plekhanov</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>22</day><month>02</month><year>2019</year></pub-date><volume>0</volume><issue>1</issue><fpage>75</fpage><lpage>81</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Абоносимов О.А., Лазарев С.И., Котенев С.И., Селиванов И.В., Полянский К.К., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Абоносимов О.А., Лазарев С.И., Котенев С.И., Селиванов И.В., Полянский К.К.</copyright-holder><copyright-holder xml:lang="en">Abonosimov O.A., Lazarev S.I., Kotenev S.I., Selivanov I.V., Polyanskiy K.K.</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/869">https://cvmet.misis.ru/jour/article/view/869</self-uri><abstract><p>Рассмотрены возможности практического применения электрохимического мембранного метода в процессе очистки технологических вод от сульфата меди и тринатрийфосфата. Объектами исследования были технологические растворы, содержащие сульфат меди и тринатрийфосфат, и полупроницаемые мембраны полимерного вида с различными селективно-проницаемыми характеристиками. Изучено влияние трансмембранных параметров проведения электромембранного процесса разделения на основные кинетические характеристики мембран МГА-95П и ОПМ-К при очистке технологических вод медеплавильного производства. Получены аппроксимационные выражения для расчета коэффициента задержания мембраны в зависимости от физико-химической основы полимера полупроницаемой мембраны, величины трансмембранного давления, концентрации и температуры технологического раствора. Определены эмпирические коэффициенты, позволяющие рассчитывать и прогнозировать значения коэффициента задержания, которые могут быть использованы в проектировании лабораторных, пилотных и промышленных установок, применяемых в производственных процессах разделения, очистки и концентрирования технологических и сточных вод. Разработана математическая модель массопереноса электрохимического мембранного разделения с учетом принятых допущений на основе решений уравнений Нернста—Планка и Пуассона—Больцмана, позволяющая физически описать процесс и рассчитать поля концентраций в межмембранном канале и изменения концентраций в трактах пермеата и ретентата. Проведена проверка адекватности математической модели путем сравнения экспериментальных данных по коэффициенту задержания с его теоретическими значениями. Расхождение между ними оказалось в пределах ошибки эксперимента и погрешности расчетных величин.</p></abstract><trans-abstract xml:lang="en"><p>The paper considers the potential practical application of an electrochemical membrane method in the process of copper sulfate and trisodium phosphate removal from industrial water. The research objects were process solutions containing copper sulfate and trisodium phosphate and semipermeable polymeric membranes with various selective permeability characteristics. The study covers the effect that the transmembrane parameters of electromembrane separation have on the main kinetic characteristics of MGA-95P and OPM-K membranes in the process of copper smelting production water treatment. Approximation expressions were obtained to calculate membrane rejection rate depending on the physicochemical basis of the semipermeable membrane polymer, transmembrane pressure as well as process solution concentration and temperature. Empirical coefficients were determined to calculate and predict rejection rate values that can be used in the design of laboratory, pilot and industrial units used in the separation, treatment and concentration of industrial and waste water. The mathematical model of mass transfer was developed for electrochemical membrane separation taking into account assumptions made based on the solutions of the Nernst—Planck and Poisson—Boltzmann equations. This model allows for process physical description and calculations of concentration fields in the intermembrane channel and concentration changes in permeate and retentate lines. The mathematical model was checked for adequacy by comparing experimental data on retention rate with theoretical values where discrepancies between the experimental and theoretical data were within the limits of the experimental error and the error of calculated values.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>кинетические зависимости</kwd><kwd>мембрана</kwd><kwd>разделение</kwd><kwd>электромембранный аппарат</kwd></kwd-group><kwd-group xml:lang="en"><kwd>kinetic dependencies</kwd><kwd>membrane</kwd><kwd>separation</kwd><kwd>electromembrane apparatus</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">Gogina E, Makisha N. 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