{"id":160113,"date":"2022-09-26T10:00:32","date_gmt":"2022-09-26T10:00:32","guid":{"rendered":"\/knowledge\/forums\/topic\/discovery-aim-tutorial-taylor-couette-flow-between-rotating-cylinders\/"},"modified":"2023-08-16T06:33:32","modified_gmt":"2023-08-16T06:33:32","slug":"discovery-aim-tutorial-taylor-couette-flow-between-rotating-cylinders","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/knowledge\/forums\/topic\/discovery-aim-tutorial-taylor-couette-flow-between-rotating-cylinders\/","title":{"rendered":"Discovery AIM tutorial &#8211; Taylor-Couette Flow between Rotating Cylinders"},"content":{"rendered":"<p><strong>This&nbsp;example is&nbsp;taken from&nbsp;<u><a href=\"https:\/\/confluence.cornell.edu\/display\/SIMULATION\/ANSYS+AIM+-+Taylor-Couette+Flow+between+Rotating+Cylinders\" target=\"_blank\" rel=\"nofollow noopener noreferrer\">Cornell University&rsquo;s ANSYS AIM Learning Modules<\/a><\/u><\/strong><\/p>\n<hr \/>\n<nav class=\"toc\">Contents<\/p>\n<ol>\n<li class=\"toc\">Problem Specification<\/li>\n<li class=\"toc\">Pre-analysis<\/li>\n<li class=\"toc\">Geometry &amp; Mesh<\/li>\n<li class=\"toc\">Physics Setup<\/li>\n<li class=\"toc\">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\">Problem Specification<\/h4>\n<p>A viscous fluid is between two concentric cylinders of radii&nbsp;a&nbsp;and&nbsp;b, which are rotating at constant angular velocities. The diagram below shows these two cylinders and their respective angular velocities. In this problem,&nbsp;the velocity of the inner wall must be calculated to create the Taylor-Couette phenomenon. Find the velocity vectors that are characteristic of the Taylor-Couette flow.<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-156964\" src=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg79.png\" sizes=\"(max-width: 206px) 100vw, 206px\" srcset=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg79.png 206w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg79-38x50.png 38w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg79-76x100.png 76w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg79-18x24.png 18w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg79-27x36.png 27w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg79-36x48.png 36w\" alt=\" width=\"206\" height=\"271\" loading=\"lazy\" \/><\/p>\n<hr \/>\n<h4 class=\"toc__permalink\" class=\"toc__permalink\"  id=\"PRE-ANALYSIS\">Pre-analysis<\/h4>\n<ol style=\"font-size: 18.6667px; font-weight: 400;\">\n<li class=\"toc\"><span style=\"font-size: 14pt;\">In the paper &ldquo;Instability of Taylor-Couette Flow between Concentric Rotating Cylinder&rdquo; by Hua-Shu Dou, Boo Cheong Khoo, and Khoon Seng Yeo the equation for the critical condition of primary instability is simplified for a concentric rotating cylinder. It is given and solved in the equations below. In order to incite Taylor-Couette flow, <\/span><em style=\"font-size: 14pt;\">Kma<\/em><span style=\"font-size: 14pt;\">x must be between 370-389 so a value of 380 was chosen as for&nbsp;<\/span><em style=\"font-size: 14pt;\">Kmax<\/em><span style=\"font-size: 14pt;\">&nbsp;the calculation.<\/span><\/li>\n<\/ol>\n<h4 content_id=\"pre-analysis\" class=\"toc__permalink\" content_id=\"pre-analysis\" class=\"toc__permalink\"  id=\"\"><\/h4>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-156965\" src=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg80.png\" sizes=\"(max-width: 278px) 100vw, 278px\" srcset=\"\/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg80.png 278w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg80-50x28.png 50w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg80-100x56.png 100w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg80-24x13.png 24w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg80-36x20.png 36w, \/knowledge\/wp-content\/uploads\/sites\/4\/2022\/08\/hg80-48x27.png 48w\" alt=\" width=\"278\" height=\"155\" loading=\"lazy\" \/><\/p>\n<h4 id=\"geometryamp-mesh\" class=\"toc__permalink\">Geometry &amp; Mesh<\/p>\n<\/h4>\n<p>In this video, you will learn how to create the geometry in Discovery AIM how to generate&nbsp;mesh in the computational fluid domain.<\/p>\n<p><iframe class=\"vidyard_iframe\" src=\"\/\/play.vidyard.com\/Z7sHn2XyCwbGbo3dbpRDYU.html\" width=\"700\" height=\"400\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" loading=\"lazy\"><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h4 id=\"physics-setup\" class=\"toc__permalink\">Physics Setup<\/p>\n<p><\/h4>\n<p>In this video, you will learn how to edit material properties and specify fluid flow conditions.<\/p>\n<p><iframe class=\"vidyard_iframe\" src=\"\/\/play.vidyard.com\/WArYBMDg8JgKsRiBEjE22k.html\" width=\"700\" height=\"400\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" loading=\"lazy\"><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<h4 id=\"results-evaluation\" class=\"toc__permalink\">\n<p>Results Evaluation<\/h4>\n<p>In this video, you will learn how to evaluate velocity vectors and Pressure contour in the flow domain.<\/p>\n<p><iframe class=\"vidyard_iframe\" src=\"\/\/play.vidyard.com\/2UTjc8FkhSnsfowdRpLT5Q.html\" width=\"700\" height=\"400\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\" loading=\"lazy\"><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p id=\"reference\" class=\"toc__permalink\"><strong>Reference<\/strong><\/p>\n<p>Dou, H.-S., Khoo, B.C., and Yeo, K.S., Instability of Taylor-Couette Flow between Concentric Rotating Cylinders, Inter. J. of Thermal Science, Vol.47, 2008, Vol.47, No.11, 1422-1435.<\/p>\n","protected":false},"template":"","class_list":["post-160113","topic","type-topic","status-publish","hentry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"This example is taken from Cornell University\u2019s ANSYS AIM Learning Modules Contents Problem Specification Pre-analysis Geometry &amp; Mesh Physics Setup Results Evaluation Problem Specification A viscous fluid is between two concentric cylinders of radii a and b, which are rotating at constant angular velocities. The diagram below shows these two cylinders and their respective angular velocities. 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