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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">firesmi</journal-id><journal-title-group><journal-title xml:lang="ru">Пожаровзрывобезопасность/Fire and Explosion Safety</journal-title><trans-title-group xml:lang="en"><trans-title>Pozharovzryvobezopasnost/Fire and Explosion Safety</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7493</issn><issn pub-type="epub">2587-6201</issn><publisher><publisher-name>ФГБОУ ВО «Национальный исследовательский Московский государственный строительный университет»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18322/PVB.2019.28.04.15-28</article-id><article-id custom-type="elpub" pub-id-type="custom">firesmi-769</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>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ, ЧИСЛЕННЫЕ МЕТОДЫ И КОМПЛЕКСЫ ПРОГРАММ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL MODELING, NUMERICAL METHODS AND PROGRAM COMPLEXES</subject></subj-group></article-categories><title-group><article-title>Экспериментальное исследование и численное моделирование распространения пламени по поверхности пластины ПММА</article-title><trans-title-group xml:lang="en"><trans-title>An experimental study and numerical simulation of flame spread over surface of PMMA slab</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9122-4293</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Коробейничев</surname><given-names>О. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Korobeinichev</surname><given-names>O. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): G-2356-2016</p><p>Author ID (Scopus): 7005822429</p></bio><email xlink:type="simple">korobein@kinetics.nsc.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7096-9787</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Герасимов</surname><given-names>И. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Gerasimov</surname><given-names>I. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): T-3223-2019;</p><p>Author ID (Scopus): 36970477900</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7773-047X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гончикжапов</surname><given-names>М. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Gonchikzhapov</surname><given-names>M. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): B-1185-2014;</p><p>Author ID (Scopus): 55512248600</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9761-5444</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Терещенко</surname><given-names>А. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Tereshchenko</surname><given-names>A. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): T-3237-2019;</p><p>Author ID (Scopus): 7006510382</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0549-3222</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Глазнев</surname><given-names>Р. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Glaznev</surname><given-names>R. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): T-3227-2019;</p><p>Author ID (Scopus): 57204631256</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7923-8318</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Трубачев</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Trubachev</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): T-3224-2019;</p><p>Author ID (Scopus): 57198490232</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6810-7638</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шмаков</surname><given-names>А. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Shmakov</surname><given-names>A. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): A-9996-2014;</p><p>Author ID (Scopus): 7006640724</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2715-8484</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Палецкий</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Paletsky</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): B-1171-2014;</p><p>Author ID (Scopus): 6602774865</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8380-1599</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Карпов</surname><given-names>А. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Karpov</surname><given-names>A. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): K-4565-2012;</p><p>Author ID (Scopus): 57197866252</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-3603-4443</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шаклеин</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Shaklein</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): D-4858-2019;</p><p>Author ID (Scopus): 57204349538</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3654-6008</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кумар</surname><given-names>А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kumar</surname><given-names>A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): D-4250-2014;</p><p>Author ID (Scopus): 36111220300</p></bio><xref ref-type="aff" rid="aff-4"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6480-613X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Рагхаван</surname><given-names>В.</given-names></name><name name-style="western" xml:lang="en"><surname>Raghavan</surname><given-names>V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher ID (WoS): C-7443-2009;</p><p>Author ID (Scopus): 13608408600</p></bio><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт химической кинетики и горения им. В. В. Воеводского СО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Voevodsky Institute of Chemical Kinetics and Combustion SB RAS</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Новосибирский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Novosibirsk State University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Институт механики УрО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Mechanics UB RAS</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Индийский институт технологии Мадрас</institution><country>Индия</country></aff><aff xml:lang="en"><institution>Indian Institute of Technology Madras</institution><country>India</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>10</day><month>09</month><year>2019</year></pub-date><volume>28</volume><issue>4</issue><fpage>15</fpage><lpage>28</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Коробейничев О.П., Герасимов И.Е., Гончикжапов М.Б., Терещенко А.Г., Глазнев Р.К., Трубачев С.А., Шмаков А.Г., Палецкий А.А., Карпов А.И., Шаклеин А.А., Кумар А., Рагхаван В., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Коробейничев О.П., Герасимов И.Е., Гончикжапов М.Б., Терещенко А.Г., Глазнев Р.К., Трубачев С.А., Шмаков А.Г., Палецкий А.А., Карпов А.И., Шаклеин А.А., Кумар А., Рагхаван В.</copyright-holder><copyright-holder xml:lang="en">Korobeinichev O.P., Gerasimov I.E., Gonchikzhapov M.B., Tereshchenko A.G., Glaznev R.K., Trubachev S.A., Shmakov A.G., Paletsky A.A., Karpov A.I., Shaklein A.A., Kumar A., Raghavan V.</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://www.fire-smi.ru/jour/article/view/769">https://www.fire-smi.ru/jour/article/view/769</self-uri><abstract><p>Введение. Полимерные материалы находят широкое применение, поэтому актуальной задачей является разработка модели горения полимеров для предсказания их поведения при пожаре и снижение горючести. Данная работа посвящена экспериментальному и численному исследованию распространения пламени по поверхности горизонтально и вертикально расположенных пластин полимера в неподвижном воздухе. Методика. Объектом исследования был литой полиметилметакрилат (ПММА). Экспериментальные исследования были сфокусированы на измерении пространственных распределений концентраций веществ и температуры в газовой фазе. Температура измерялась с помощью микротермопар (размером 50 мкм). Для измерения пространственного распределения концентраций веществ в пламени использовалась зондовая масс-спектрометрия. Результаты и обсуждение. В пламени были идентифицированы основные компоненты, включая метилмета­крилат (MMA), O2, CO2, H2O, N2, C2H4 (этилен), C3H6 (пропилен), и измерены их профили концентраций на разных расстояниях от фронта пламени. Установлено, что химическая структура пламени находится в хорошем согласии с тепловой структурой; размер «темной зоны» пламени, в которой температура вблизи поверхности полимера минимальна, хорошо коррелирует с размером свободной от кислорода зоны. Были также измерены такие характеристики горения, как массовая скорость выгорания, линейная скорость распространения пламени, ширина зоны пиролиза и распределение температуры в конденсированной фазе. На основе экспериментальных результатов были определены плотности кондуктивного и радиационного тепловых потоков от пламени к поверхности полимера. Расчет плотности радиационного потока выполнен в предположении оптически тонкой модели. Проведено моделирование распространения пламени по горизонтальной поверхности ПММА с помощью двумерной сопряженной ламинарной модели горения, учитывающей одностадийные реакции в газовой и конденсированной фазах. Моделирование распространения пламени по вертикальной поверхности ПММА проводилось с помощью экономичной модели в программном пакете FDS. Заключение. Показано, что разработанная модель хорошо описывает такие параметры, как массовая скорость горения, скорость распространения пламени, а также распределение температуры и концентраций веществ вблизи фронта пламени.</p></abstract><trans-abstract xml:lang="en"><p>Introduction. Polymer materials are widely used, however the actual object is to provide polymers combustion ­model to predict their behavior under fire, and reducing flammability. The work is devoted to the experimental ­study and numerical simulation of flame propagation over the surface of horizontally and vertically placed slabs of polymer in still air. Methods. The object of the investigation was cast polymethylmethacrylate (PMMA). The experiment was focused on measurement of the spatial distributions of the temperature and species concentrations of the PMMA pyrolysis and combustion products in the gas-phase over the surface of PMMA. Temperature was measured by micro­thermocouple with diameter of 50 microns. Probe mass-spectrometry was used for the measurement of the spa­tial distribution of species concentrations in the flame. Results and discussion. The main species (mehylmethacrylate (MMA), O2, CO2, H2O, N2, C2H4 (ethylene), C3H6 (propylene)) were identified and their concentration profiles were measured on the different distance from the flame front. The chemical structure of the flame was established to be in good agreement with the thermal one. The size of the “dark zone” of the flame, in which the temperature near the surface of the polymer is minimal, correlated well with the size of the oxygen-free zone. The mass burning rate, the velocity of flame propagation, the width of the pyrolysis zone and the temperature distribution in the condensed phase were also measured. Based on the experimental results, densities of conductive and radiation heat fluxes from the flame to the fuel surface were deter­mined. Calcula­tion of the radiation heat flux density was carried out under the assumption of an optically thin ­model. Modeling of the horizontal flame propagation over the PMMA surface was carried out using a two-dimen­sional conjugated laminar combustion model that takes into account one-step reactions — the decomposition reaction of PMMA in the condensed phase and the oxidation of decomposition products in the gas phase. Modeling of the vertical flame propagation over the PMMA surface was carried out using economical model of FDS. Conclusion. The model was shown to describe satisfactorily the experimental data such as the mass burning rate, flame propagation velocity, as well as the temperature distribution and concentration of species near the flame front.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>распространение пламени</kwd><kwd>горение ПММА</kwd><kwd>структура пламени</kwd><kwd>микротермопара</kwd><kwd>зондовая масс-спектрометрия</kwd><kwd>тепловой поток</kwd><kwd>сопряженная модель горения</kwd><kwd>FDS-моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>flame spread</kwd><kwd>PMMA combustion</kwd><kwd>flame structure</kwd><kwd>microthermocouple</kwd><kwd>probing mass spectrometry</kwd><kwd>heat flux</kwd><kwd>coupled combustion model</kwd><kwd>modeling by FDS</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при поддержке Российского научного фонда (грант № 16-49-02017).</funding-statement><funding-statement xml:lang="en">The study was supported by the Russian Science Foundation (grant No. 16-49-02017).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Асеева Р. 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