{"id":160170,"date":"2022-09-26T10:00:48","date_gmt":"2022-09-26T10:00:48","guid":{"rendered":"\/knowledge\/forums\/topic\/discovery-aim-tutorial-heat-conduction-in-a-hollow-cylinder\/"},"modified":"2023-08-16T06:33:38","modified_gmt":"2023-08-16T06:33:38","slug":"discovery-aim-tutorial-heat-conduction-in-a-hollow-cylinder","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/discovery-aim-tutorial-heat-conduction-in-a-hollow-cylinder\/","title":{"rendered":"Discovery AIM tutorial &#8211; Heat Conduction in a Hollow Cylinder"},"content":{"rendered":"<p><strong>This example is\u00a0taken from\u00a0<u><a href=\"https:\/\/confluence.cornell.edu\/display\/SIMULATION\/ANSYS+AIM+-+Heat+Conduction+in+a+Hollow+Cylinder\" target=\"_blank\" rel=\"nofollow noopener noreferrer\">Cornell University&#8217;s ANSYS AIM Learning Modules<\/a><\/u><\/strong><\/p>\n<hr \/>\n<nav class=\"toc -selected\">Contents<\/p>\n<ol class=\"toc__section -lev0\">\n<li class=\"toc__item -lev0\">Problem Specification<\/li>\n<li class=\"toc__item -lev0\">Pre-Analysis<\/li>\n<li class=\"toc__item -lev0\">Geometry<\/li>\n<li class=\"toc__item -lev0\">Mesh<\/li>\n<li class=\"toc__item -lev0\">Physics Setup<\/li>\n<li class=\"toc__item -lev0\">Results Evaluation<\/li>\n<\/ol>\n<\/nav>\n<h4 content_id=\"problem-specification\" class=\"toc__permalink\" content_id=\"problem-specification\" class=\"toc__permalink\"  id=\"PROBLEM-SPECIFICATION\"><strong>Problem Specification<\/strong><\/h4>\n<p>Consider the hollow cylinder pictured below with outer radius (ro=3.25in), inner radius (ri=1.75in) and length (l=120in). The temperature at the inner radius of the cylinder is 400 degrees Fahrenheit while the outside radius of the cylinder is 80 degrees Fahrenheit with a coefficient of heat transfer of 0.04 Btuh*ftF.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-157289\" src=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/HG204.png\" alt=\" width=\"350\" height=\"227\" \/><\/p>\n<p>In this tutorial, we will utilize Discovery AIM to find the temperature throughout the pipe, total heat flux and directional heat flux.<\/p>\n<hr \/>\n<h4 content_id=\"pre-analysis\" class=\"toc__permalink\" content_id=\"pre-analysis\" class=\"toc__permalink\"  id=\"PRE-ANALYSIS\">Pre-Analysis<\/h4>\n<p>The governing equation for axisymmetric radial heat flow for a homogeneous cylinder with inner radius ri and outer radius ro is displayed below. Note that the following equation assumes that the cylinder is long enough for end effects to be ignored.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-157290\" src=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/HG205.png\" alt=\" width=\"275\" height=\"49\" \/><\/p>\n<p>In the above equation k is the thermal conductivity, A is the surface area, T is the temperature, r is the radial position and Q is the heat generation per unit area.<\/p>\n<p>For the given problem there is no heat generation, thus the governing equation can be solved easily. The solution for temperature as a function of radial position is displayed below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-157293\" src=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/HG206.png\" alt=\" width=\"275\" height=\"71\" \/><\/p>\n<hr \/>\n<h4 content_id=\"geometry\" class=\"toc__permalink\" content_id=\"geometry\" class=\"toc__permalink\"  id=\"GEOMETRY\">Geometry<\/h4>\n<p>In this video, you will learn how to create a hollow cylinder.<\/p>\n<p><iframe loading=\"lazy\" class=\"vidyard_iframe\" src=\"https:\/\/play.vidyard.com\/ESZnJNiRjrE7TTjYazaALh.html?v=3.1.1&amp;\" width=\"700\" height=\"400\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<hr \/>\n<h4 content_id=\"mesh\" class=\"toc__permalink\" content_id=\"mesh\" class=\"toc__permalink\"  id=\"MESH\">Mesh<\/h4>\n<p>In this video, you will learn how to specify body sizing and generate a finer mesh for the hollow cylinder.<\/p>\n<p><iframe loading=\"lazy\" class=\"vidyard_iframe\" src=\"https:\/\/play.vidyard.com\/GLJRiV9jLHvWhWCS1MtzyG.html?v=3.1.1&amp;\" width=\"700\" height=\"400\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<hr \/>\n<h4 content_id=\"physics-setup\" class=\"toc__permalink\" content_id=\"physics-setup\" class=\"toc__permalink\"  id=\"PHYSICS-SETUP\">Physics Setup<\/h4>\n<p>In this video, you will learn how to define solid thermal conditions to the model.<\/p>\n<p><iframe loading=\"lazy\" class=\"vidyard_iframe\" src=\"https:\/\/play.vidyard.com\/Vpdw3cJ5RAbt7Pqf5yJZCz.html?v=3.1.1&amp;\" width=\"700\" height=\"400\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n<hr \/>\n<h4 content_id=\"results-evaluation\" class=\"toc__permalink\" content_id=\"results-evaluation\" class=\"toc__permalink\"  id=\"RESULTS-EVALUATION\">Results Evaluation<\/h4>\n<p>In this video, you will learn how to evaluate temperature and heat flux contours, and heat flux vectors.<\/p>\n<p><iframe loading=\"lazy\" class=\"vidyard_iframe\" src=\"https:\/\/play.vidyard.com\/vQPPgFfKiz87VDkEthoA5K.html?v=3.1.1&amp;\" width=\"700\" height=\"400\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" data-mce-fragment=\"1\"><\/iframe><\/p>\n","protected":false},"template":"","class_list":["post-160170","topic","type-topic","status-publish","hentry","topic-tag-aim-tutorial","topic-tag-discovery-aim","topic-tag-heat-transfer"],"aioseo_notices":[],"acf":[],"custom_fields":[{"0":{"_wp_page_template":["default"],"_bbp_last_active_time":["09-13-2022  20:20:18"],"_bbp_forum_id":["159552"],"_btv_view_count":["4318"],"family":[""],"application_name":[""],"product_version":[""],"_bbp_likes_count":["1"]},"test":"solution"}],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics\/160170","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/types\/topic"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/topics\/160170\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/knowledge\/wp-json\/wp\/v2\/media?parent=160170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}