{"id":3325,"date":"2020-09-09T20:50:13","date_gmt":"2020-09-09T18:50:13","guid":{"rendered":"https:\/\/mim.agh.edu.pl\/?page_id=3325"},"modified":"2023-07-13T15:05:11","modified_gmt":"2023-07-13T13:05:11","slug":"multiphysics-modelling-shs","status":"publish","type":"page","link":"https:\/\/mim.agh.edu.pl\/?page_id=3325","title":{"rendered":"Multiphysics Modelling &#8211; SHS"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"3325\" class=\"elementor elementor-3325\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f492a7d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f492a7d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-eb4aba7\" data-id=\"eb4aba7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2ea4e03 elementor-widget elementor-widget-heading\" data-id=\"2ea4e03\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Multiphysics Modelling - SHS Process Optimization<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a8dab3e elementor-widget elementor-widget-text-editor\" data-id=\"a8dab3e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Introduction.<\/strong>\u00a0<span lang=\"EN-US\" style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">Self-propagating high-temperature synthesis (SHS) was developed in the late 1960s<\/span><span lang=\"EN-US\" style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">\u00a0and has been used to synthesize many ceramic materials including oxides, nitrides, carbides, and metal hydrides<\/span><span lang=\"EN-US\" style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">. In an SHS process, finely powdered reactants are pressed into a pellet and ignited on one side by an external heat source. After the ignition, the heat source is turned off because the SHS reaction is highly exothermic. The heat generated from the combustion is suf\ufb01cient to sustain the reaction front to propagate through the pellet and convert reactants to products (<\/span><!-- [if supportFields]><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:11.0pt;line-height:107%; font-family:\"Calibri\",sans-serif;mso-ascii-theme-font:minor-latin;mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin; mso-bidi-font-family:\"Times New Roman\";mso-bidi-theme-font:minor-bidi; mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><span style='mso-element:field-begin'><\/span> REF _Ref2716218 \\h <span style='mso-element:field-separator'><\/span><\/span><![endif]--><span style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: PL; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">Fig. 1<\/span><span lang=\"EN-US\" style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"><!-- [if gte mso 9]><xml><br \/>\n <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000C0000005F0052006500660032003700310036003200310038000000<\/w:data><br \/>\n<\/xml><![endif]--><\/span><!-- [if supportFields]><span lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:11.0pt;line-height:107%;font-family: \"Calibri\",sans-serif;mso-ascii-theme-font:minor-latin;mso-fareast-font-family: Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin; mso-bidi-font-family:\"Times New Roman\";mso-bidi-theme-font:minor-bidi; mso-ansi-language:EN-US;mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><span style='mso-element:field-end'><\/span><\/span><![endif]--><span lang=\"EN-US\" style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">). The fast combustion front movement (1\u201310 cm<\/span><span lang=\"EN-US\" style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: Symbol; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA; mso-char-type: symbol; mso-symbol-font-family: Symbol;\">\u00d7<\/span><span lang=\"EN-US\" style=\"font-size: 12.0pt; mso-bidi-font-size: 11.0pt; line-height: 107%; font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-bidi-theme-font: minor-bidi; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\">s<sup>-1<\/sup>) enables a large-scale production in a short period of time. Fast cooling allows the formation of ceramic powders with very \ufb01ne grains and metastable compounds.\u00a0<\/span>\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-95bbcd1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"95bbcd1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-68327a6\" data-id=\"68327a6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d9ff7f3 elementor-widget elementor-widget-image\" data-id=\"d9ff7f3\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"640\" height=\"360\" src=\"https:\/\/mim.agh.edu.pl\/wp-content\/uploads\/2020\/09\/SHS-proc.png\" class=\"attachment-large size-large wp-image-3332\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Fig. 1. SHS process phases: ignition, propagation of the reaction front, and cooling [J.Selig, Model of Combustion Synthesis of Thermoelectric Calcium Cobaltates, Comsol Conference, Boston, 2010].<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-57201f4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"57201f4\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6906bd7\" data-id=\"6906bd7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4f7d31a elementor-widget elementor-widget-text-editor\" data-id=\"4f7d31a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Mathematical model.<\/strong> The heat, momentum and mass transfers are taken into account to model the self-propagating high-temperature synthesis process. The model was formulated for an arbitrary 3D system geometry. Here for better visualization we consider an example 2D geometry presented in Fig. 2. The example geometry consists of a pellet \u00a03 cm in length and 2 cm in width placed on alumina holder \u00a0of 0.4 cm in thickness. The reaction system is placed inside the reaction chamber \u00a0filled with argon.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-af87589 elementor-widget elementor-widget-image\" data-id=\"af87589\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t<figure class=\"wp-caption\">\n\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"640\" height=\"360\" src=\"https:\/\/mim.agh.edu.pl\/wp-content\/uploads\/2020\/09\/SHS-geometry.png\" class=\"attachment-large size-large wp-image-3338\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t<figcaption class=\"widget-image-caption wp-caption-text\">Fig. 2. Schematic graph of experimental setup used in modelling of SHS process.<\/figcaption>\n\t\t\t\t\t\t\t\t\t\t<\/figure>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c14dbfe elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c14dbfe\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5e22a0d\" data-id=\"5e22a0d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3b765f4 elementor-widget elementor-widget-text-editor\" data-id=\"3b765f4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><b>Cooperation<\/b>. Project realized in cooperation with Department of Inorganic Chemistry at the Faculty of Materials Science and Ceramics AGH-University of Krakow.<\/p>\n<p><strong>Research papers:<\/strong><\/p>\n<ol>\n<li>R. Filipek, &#8220;Modeling and inverse methods in materials engineering\u201d \u2013 monograph, Wydawnictwo Naukowe \u201cAkapit\u201d, Krak\u00f3w 2019.<\/li>\n<\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-02c948c elementor-widget elementor-widget-text-editor\" data-id=\"02c948c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Contact<\/strong>:\u00a0<a href=\"mailto:rof@agh.edu.pl?subject=Electrochemical and Biological Membranes\">Prof. Robert Filipek<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Multiphysics Modelling &#8211; SHS Process Optimization Introduction.\u00a0Self-propagating high-temperature synthesis (SHS) was developed in the late 1960s\u00a0and has been used to synthesize many ceramic materials including oxides, nitrides, carbides, and metal hydrides. In an SHS process, finely powdered reactants are pressed into a pellet and ignited on one side by an external heat source. After the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-3325","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages\/3325","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3325"}],"version-history":[{"count":15,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages\/3325\/revisions"}],"predecessor-version":[{"id":4280,"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=\/wp\/v2\/pages\/3325\/revisions\/4280"}],"wp:attachment":[{"href":"https:\/\/mim.agh.edu.pl\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3325"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}