{"id":6447,"date":"2026-05-30T03:34:08","date_gmt":"2026-05-30T00:34:08","guid":{"rendered":"https:\/\/jrn.isi.gov.ua\/?page_id=6447"},"modified":"2026-06-01T15:49:26","modified_gmt":"2026-06-01T12:49:26","slug":"doi-10-52150-2522-9117-2026-40-019","status":"publish","type":"page","link":"https:\/\/jrn.isi.gov.ua\/?page_id=6447&lang=en","title":{"rendered":"DOI: 10.52150\/2522-9117-2026-40-019"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>M. H.&nbsp;Ivancha<\/strong><sup>1<\/sup>, Senior&nbsp;Researcher,&nbsp;ORCID&nbsp;0000-0002-5366-9328<br><strong>V. I.&nbsp;V\u0456shnyakov<\/strong><sup>1<\/sup>, Researcher,&nbsp;ORCID&nbsp;0000-0002-5538-6962<br><strong>I. H. Muravyova<\/strong><sup>1,*<\/sup>, D.&nbsp;Sc. (Tech.), Leading Researcher, ORCID 0000-0001-5926-7787<br><strong>L. I. Garmash<\/strong><sup>1<\/sup>, Ph. D. (Tech.), Senior Researcher, ORCID 0000-0002-6873-6685<br><strong>V. R. Shcherbachov<\/strong><sup>1<\/sup>, Junior Researcher, Ph. D. Student, ORCID&nbsp;0000-0002-6734-0451<br><strong>O. O. Biloshapka<\/strong><sup>1<\/sup>, Junior Researcher,<strong> <\/strong>ORCID&nbsp;0000-0003-3103-0512<br><strong>K. P. Yermolina<\/strong><sup>1<\/sup>, Leading Engineer, ORCID 0000-0001-6819-9886<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><sup>1&nbsp;<\/sup><em>Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine<\/em><br><em><sup>*&nbsp;<\/sup>Corresponding author: irinamuravyova@gmail.com<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">CALCULATION METHODS AND MATHEMATICAL MODELS OF THE DISTRIBUTION OF CHARGE MATERIALS ON THE TOP OF A BLAST FURNACE, USED IN TECHNOLOGICAL AND RESEARCH PRACTICE<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract.<\/strong> Increasing the efficiency of using the reducing capacity of gases in a blast furnace, optimizing the processes of slag formation and lining, forming a rational configuration and dimensions of the cohesive zone and, as a result, improving the technical and economic indicators of smelting as a whole is ensured, first of all, by rational distribution of charge materials on the top. Analysis of known calculation methods and mathematical models of the distribution of charge materials on the top of a blast furnace, which are used in technological and research practice, showed that mathematical modeling using the results of experimental studies remains the main way to obtain information about the distribution of charge materials. Instrumental means of controlling the distribution of charge components do not currently exist. A feature of known mathematical models is that with their use the distribution of two charge components was predicted &#8211; the iron ore part and coke. Modern blast furnace charge conditions are characterized by a significant expansion of the raw material base and the component composition of charge materials loaded into the blast furnace. When these components are unloaded onto the surface of the backfill, a mixture layer is formed, the composition of which differs significantly in different zones of the top. The difference in the composition of the mixtures determines the corresponding difference in the high-temperature properties of the iron ore part of the charge and the properties of the melts along the cross-section of the blast furnace. Analysis of previously performed research in the field of developing mathematical models and methods for calculating distribution characteristics showed that a significant part of the work is devoted to the distribution of the iron ore and carbon-containing parts of the charge as a whole, without assessing the distribution of the components included in it. In this regard, problems are becoming particularly relevant, the solution of which is aimed at creating a complex mathematical model of blast furnace loading, which includes models of a number of processes of forming multicomponent portions of charge materials, their movement along the loading path and in the working space of the blast furnace, as well as their distribution on the surface of the backfill.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Key words:<\/strong> blast furnace, mathematical models, multicomponent charge, component distribution in zones.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>For citation:<\/strong> Ivancha, M. H., V\u0456shnyakov, V. I., Muravyova, I. H., Garmash, L. I., Shcherbachov, V. R., Biloshapka, O. O., &amp; Yermolina, K. P. (2026). Calculation methods and mathematical models of the distribution of charge materials on the top of a blast furnace, used in technological and research practice.<em> Fundamental and applied problems of ferrous metallurgy<\/em>, 40, 290-319. <a href=\"https:\/\/doi.org\/10.52150\/2522-9117-2026-40-019\">https:\/\/doi.org\/10.52150\/2522-9117-2026-40-019<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>References<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Bolshakov, V. I. (2007). <em>Tehnologiya vysokoeffektivnoj energosberegayushej domennoj plavki<\/em>. Nauk. dumka.<\/li>\n\n\n\n<li>Bolshakov, V. I., Muraveva, I. G., Beloshapka, E. A., &amp; Varivoda, I. E. (2004). Matematicheskie modeli radialnogo raspredeleniya shihty v domennyh pechah. <em>Sbornik nauchnyh trudov IChM \u00abFundamental&#8217;nye i prikladnye problemy chernoj metallurgii\u00bb<\/em> (No. 8, pp. 86\u2013102). Dnepropetrovsk.<\/li>\n\n\n\n<li>Tovarovskij, I. G. 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(1990). <em>Teoriya i praktika zagruzki domennykh pechej<\/em>. Metallurgiya.<\/li>\n\n\n\n<li>Bolshakov, V. I., Semenov, Yu. S., Ivancha, N. G., Vishnyakov, V. I., Shumelchik, E. I., et al. (2012). Issledovanie parametrov potoka shikhtovykh materialov i ikh raspredeleniya na koloshnike sovremennoj domennoj pechi. <em>Metallurgicheskaya i gornorudnaya promyshlennost&#8217;<\/em>, (3), 87\u201392.<\/li>\n\n\n\n<li>Bolshakov, V. I., Bogachev, Yu. A., Vishnyakov, V. I., Ivancha, N. G., &amp; Shuliko, S. T. (2008). Predpuskovye issledovaniya zagruzki i raspredeleniya shikhty v domennoj pechi bol&#8217;shogo ob&#8221;ema. <em>Byulleten&#8217; nauchno-tekhnicheskoj i ekonomicheskoj informatsii. Chernaya metallurgiya<\/em>, (6(1302)), 39\u201344.<\/li>\n\n\n\n<li>Bolshakov, V. I., Varivoda, I. E., Roslik, N. A., &amp; Shutylev, F. M. (1995). Vliyanie dvizheniya shikhty po traktam zagruzochnogo ustrojstva na okruzhnoye raspredeleniye v domennoj pechi. In <em>Sb. 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I., Zarembo, A. Yu., &amp; Ivancha, N. G. (2007). Dvizhenie shikhty v koloshnikovom prostranstve domennoj pechi pri zagruzke lotkovym raspredelitelem. <em>Metallurgicheskaya i gornorudnaya promyshlennost<\/em>, (4), 75\u201379.<\/li>\n\n\n\n<li>Bolshakov, V. I., Semenov, Yu. S., Lebed&#8217;, V. V., Shumelchik, E. I., &amp; Vishnyakov, V. I. (2011). Model&#8217; radial&#8217;nogo raspredeleniya shikhtovykh materialov na koloshnike domennoj pechi, oborudovannoj BZU. i<em>Sb. nauchn. tr. IChM \u00abFundamental&#8217;nye i prikladnye problemy chernoj metallurgii\u00bb<\/em> (No. 23, pp. 52\u201362).<\/li>\n\n\n\n<li>Semenov, Yu. S., Shumelchik, E. I., Vishnyakov, V. I., Nasledov, A. V., Semen, I. Yu., &amp; Zubenko, A. V. (2013). Model system for selecting and correcting charging programs for blast furnaces equipped with a bell-less charging apparatus. <em>Metallurgist<\/em>, 56(9\u201310), 652\u2013657. <a href=\"https:\/\/doi.org\/10.1007\/s11015-013-9630-3\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.1007\/s11015-013-9630-3<\/a><\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-right wp-block-paragraph\"><em>\u0420\u0443\u043a\u043e\u043f\u0438\u0441 \u043d\u0430\u0434\u0456\u0439\u0448\u043e\u0432 \u0434\u043e \u0440\u0435\u0434\u0430\u043a\u0446\u0456\u0457 \/ Received &nbsp;22.10.2025<\/em><br><em>\u0420\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u043e\u0432\u0430\u043d\u043e \u0434\u043e \u0434\u0440\u0443\u043a\u0443 \/ Accepted 28.05.2026<\/em><br><em>\u041e\u043f\u0443\u0431\u043b\u0456\u043a\u043e\u0432\u0430\u043d\u043e \/ Published 30.05.2026<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><a href=\"https:\/\/jrn.isi.gov.ua\/sb\/sb40\/40_019.pdf\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"338\" src=\"https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-1024x338.png\" alt=\"\" class=\"wp-image-3541\" style=\"aspect-ratio:3.0297122212532703;width:217px;height:auto\" srcset=\"https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-1024x338.png 1024w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1.png 300w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-767x253.png 767w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-1536x507.png 1536w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-2048x676.png 2048w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-455x150.png 455w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-100x33.png 100w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-1061x350.png 1061w, https:\/\/jrn.isi.gov.ua\/wp-content\/uploads\/2023\/08\/Button1-788x260.png 788w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>M. H.&nbsp;Ivancha1, Senior&nbsp;Researcher,&nbsp;ORCID&nbsp;0000-0002-5366-9328V. I.&nbsp;V\u0456shnyakov1, Researcher,&nbsp;ORCID&nbsp;0000-0002-5538-6962I. H. Muravyova1,*, D.&nbsp;Sc. (Tech.), Leading Researcher, ORCID 0000-0001-5926-7787L. I. Garmash1, Ph. D. (Tech.), Senior Researcher, ORCID 0000-0002-6873-6685V. R. Shcherbachov1, Junior Researcher, Ph. D. Student, ORCID&nbsp;0000-0002-6734-0451O. O. Biloshapka1, Junior Researcher, ORCID&nbsp;0000-0003-3103-0512K. P. Yermolina1, Leading Engineer, ORCID 0000-0001-6819-9886 1&nbsp;Iron and Steel Institute of Z. I. Nekrasov National Academy of Sciences of Ukraine*&nbsp;Corresponding [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6447","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages\/6447","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6447"}],"version-history":[{"count":2,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages\/6447\/revisions"}],"predecessor-version":[{"id":6945,"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=\/wp\/v2\/pages\/6447\/revisions\/6945"}],"wp:attachment":[{"href":"https:\/\/jrn.isi.gov.ua\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}