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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">powder</journal-id><journal-title-group><journal-title xml:lang="ru">Известия вузов. Порошковая металлургия и функциональные покрытия</journal-title><trans-title-group xml:lang="en"><trans-title>Powder Metallurgy аnd Functional Coatings (Izvestiya Vuzov. Poroshkovaya Metallurgiya i Funktsional'nye Pokrytiya)</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1997-308X</issn><issn pub-type="epub">2412-8767</issn><publisher><publisher-name>НИТУ "МИСИС"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/1997-308X-2018-3-46-54</article-id><article-id custom-type="elpub" pub-id-type="custom">powder-384</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>Самораспространяющийся высокотемпературный синтез (СВС)</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Self-Propagating High-Temperature Synthesis (SHS)</subject></subj-group></article-categories><title-group><article-title>Самораспространяющийся высокотемпературный синтез в тонкослойной системе CuO–B–стекло</article-title><trans-title-group xml:lang="en"><trans-title>Self-propagating high-temperature synthesis in a thin-layer CuO–B–glass system</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>Шульпеков</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Shulpekov</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кандидат технических наук, старший научный сотрудник Научно-исследовательского отдела структурной макрокинетики.</p><p>634055, Томск, пр. Академический, 10/3</p></bio><bio xml:lang="en"><p>Cand. Sci. (Tech.), Leader researcher, Researcher department of structural macrokinetics.</p><p>634021, Tomsk, Akademicheskii Ave., 10/4</p></bio><email xlink:type="simple">shulp@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>Лапшин</surname><given-names>О. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Lapshin</surname><given-names>O. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор физико-математических наук, ведущий научный сотрудник Научно-исследовательского отдела структурной макрокинетики.</p><p>634055, Томск, пр. Академический, 10/3</p></bio><bio xml:lang="en"><p>Dr. Sci. (Phys.-Math.), Leading researcher, Researcher department of structural macrokinetics.</p><p>634021, Tomsk, Akademicheskii Ave., 10/4</p></bio><email xlink:type="simple">ovlap@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Томский научный центр СО РАН<country>Россия</country></aff><aff xml:lang="en">Tomsk Scientific Center of Siberian Branch Russian Academy<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>17</day><month>09</month><year>2018</year></pub-date><volume>0</volume><issue>3</issue><fpage>46</fpage><lpage>54</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; НИТУ "МИСИС", 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">НИТУ "МИСИС"</copyright-holder><copyright-holder xml:lang="en">НИТУ "МИСИС"</copyright-holder><license xlink:href="https://powder.misis.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://powder.misis.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://powder.misis.ru/jour/article/view/384">https://powder.misis.ru/jour/article/view/384</self-uri><abstract><p>Проведены экспериментальные исследования и построены математические модели волнового синтеза и теплового взрыва в тонкослойной системе CuO–B–стекло. Установлено, что распространение фронта горения происходит в многоочаговом режиме, а его скорость зависит от толщины реакционного слоя (d) по параболическому закону с максимумом при d = 4·10–4 м. Увеличение толщины реакционного слоя способствует улучшению характеристик теплового взрыва в данной системе, а разбавление ее инертным компонентом позволяет получать медные покрытия с хорошей электропроводностью. Методом рентгенофазового анализа и оптической микроскопии показано, что покрытие состоит из сплавленных между собой капель металлической меди, окруженных расплавом боросвинцово-силикатного стекла. Покрытия имеют высокую электропроводность, сравнимую с таковой металлов. Обнаружено, что увеличение толщины слоя выше 4·10–4 м приводит к значительному уменьшению скорости распространения фронта волны горения вследствие разрыхления исходной смеси под действием испарения адсорбированных на порошках паров воды и газов и, как следствие, к снижению теплопередачи во фронте горения. Такие покрытия электропроводностью не обладают. В макроскопическом приближении разработаны математические модели волнового синтеза и теплового взрыва в тонкослойной системе Cu–B–стекло. Проведены численные расчеты динамики процесса. Теоретические оценки удовлетворительно соответствуют данным экспериментальных исследований. Методом обратной задачи определены теплофизические и термокинетические константы процесса. На основе полученных экспериментальных данных и разработанных математических моделей получены опытные образцы пленочных электронагревателей с высокими электропроводностью и температурой эксплуатации.</p></abstract><trans-abstract xml:lang="en"><p>The paper provides experimental research and mathematical models of wave synthesis and thermal explosion in a thin-layer CuO–B–glass system. It is found that burning front propagation has a multi-source behavior and its rate depends on reacting layer thickness by the parabolic law with a maximum at d = 4·10–4 m. Increased reacting layer thickness improves thermal explosion properties in this system, and dilution with an inert component makes it possible to obtain copper coatings featuring good electrical conductivity. X-ray phase analysis and optical microscopy demonstrated that the coating consists of metallic copper drops fused together and surrounded by boron-lead silicate glass melt. Coatings have high electrical conductivity comparable with that of metals. It is found that layer thickness increased over 4·10–4 m results in a significantly reduced layer propagation rate due to initial mixture loosening under the evaporation effect of water vapors and gases adsorbed on powders, and, as a consequence, it results in reduced heat transfer in the burning front. These coatings are not electrically conductive. Mathematical models of wave synthesis and thermal explosion in a thin-layer CuO–B–glass system using macroscopic approximation. Process dynamics are numerically calculated. Theoretical estimates correspond satisfactorily to experimental values. Thermophysical and thermokinetic process constants are determined by the inverse problem method. Experimental data obtained and mathematical models developed made it possible to obtain prototypes of electric film heaters with high electrical conductivity and operating temperature.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>самораспространяющийся высокотемпературный синтез</kwd><kwd>волновой синтез</kwd><kwd>тепловой взрыв</kwd><kwd>математическая модель</kwd><kwd>медь</kwd><kwd>боротермия</kwd><kwd>тонкопленочное покрытие</kwd><kwd>нагревательный элемент</kwd></kwd-group><kwd-group xml:lang="en"><kwd>self-propagating high-temperature synthesis</kwd><kwd>wave synthesis</kwd><kwd>thermal explosion</kwd><kwd>mathematical model</kwd><kwd>copper</kwd><kwd>boron thermal reduction</kwd><kwd>thin-film coating</kwd><kwd>heating element</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">Poate J.M., Tu K.N., Mayer J.W. (eds). Thin filmsinterdiffusion and reactions. 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