{"id":39947,"date":"2025-01-06T18:37:55","date_gmt":"2025-01-06T18:37:55","guid":{"rendered":"https:\/\/idea.membrane.com\/songwriter\/?p=39947"},"modified":"2025-01-16T14:25:26","modified_gmt":"2025-01-16T14:25:26","slug":"vorticity","status":"publish","type":"post","link":"http:\/\/kingarthur.com\/songwriter\/2025\/01\/06\/vorticity\/","title":{"rendered":"Vorticity"},"content":{"rendered":"<ul>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/Vorticity-0.mp3\"> Vorticity-0.mp3<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/Vorticity-0.mp4\"> Vorticity-0.mp4<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/Vorticity-I.mp3\"> Vorticity-I.mp3<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/Vorticity-I.mp4\"> Vorticity-I.mp4<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/Vorticity-intro.mp3\"> Vorticity-intro.mp3<\/a><\/li>\n<\/ul>\n<p>[Verse]<br \/>\nThe tangential velocity<br \/>\n(Of the vorticity)<br \/>\nIt&#8217;s in the whirl<br \/>\n(It&#8217;s in the swirl)<\/p>\n<p>[Chorus]<br \/>\nI am&#8230;<br \/>\nCaught up in the angular momentum<br \/>\n(I am)<br \/>\nSpinning round (and round again)<\/p>\n<p>[Bridge]<br \/>\nRotational vortex<br \/>\n(Chaos is complex)<br \/>\n[Instrumental, Guitar Solo]<\/p>\n<p>[Verse]<br \/>\nThe tenacity&#8230;<br \/>\n(Of the vorticity)<br \/>\nGrip on the whirl<br \/>\n(Giving it a twirl)<\/p>\n<p>[Chorus]<br \/>\nI am&#8230;<br \/>\nCaught up in the angular momentum<br \/>\n(I am)<br \/>\nSpinning round (and round again)<\/p>\n<p>[Bridge]<br \/>\nRotational vortex<br \/>\n(Yes, this chaos is complex)<\/p>\n<p>[Outro]<br \/>\nRotational vortex<br \/>\n(Yes, this chaos is complex)<\/p>\n<p>A SCIENCE NOTE<\/p>\n<h3><strong>Key Characteristics<\/strong><\/h3>\n<ol>\n<li><strong>Vorticity and Rotation:<\/strong>\n<ul>\n<li>Vorticity measures how much and in what direction a small fluid element rotates about its own center.<\/li>\n<li>It does not directly indicate the speed (magnitude of velocity) of the flow but reflects the <strong>circulation<\/strong> and rotational nature of the motion.<\/li>\n<\/ul>\n<\/li>\n<li><strong>In a Vortex:<\/strong>\n<ul>\n<li>High vorticity indicates strong rotational motion.<\/li>\n<li>Zero vorticity corresponds to irrotational flow (e.g., laminar flow without rotation).<\/li>\n<\/ul>\n<\/li>\n<li><strong>Units:<\/strong>\n<ul>\n<li>Vorticity is measured in <strong>radians per second<\/strong> (<span class=\"katex\"><span class=\"katex-mathml\">rad\/s<\/span><\/span>) in SI units, representing angular velocity per unit area.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<hr \/>\n<p>The velocity typically increases as matter spirals inward in a vortex, due to the conservation of angular momentum. This principle applies to various types of vortices, whether in fluids, air, or astrophysical systems like accretion disks around black holes.<\/p>\n<h3>From the album &#8220;<a href=\"http:\/\/idea.membrane.com\/songwriter\/tag\/swirl\/\">Swirl<\/a>&#8221; by <a href=\"http:\/\/kingarthur.com\/Daniel\/\">Daniel<\/a><\/h3>\n<h2><a href=\"http:\/\/membrane.com\/global_warming\/\">The Human Induced Climate Change Experiment<\/a><\/h2>\n<h2><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/\">MegaEpix Enormous<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Vorticity-0.mp3 Vorticity-0.mp4 Vorticity-I.mp3 Vorticity-I.mp4 Vorticity-intro.mp3 [Verse] The tangential velocity (Of the vorticity) It&#8217;s in the whirl (It&#8217;s in the swirl) [Chorus] I am&#8230; Caught up in the angular momentum (I am) Spinning round (and round again) [Bridge] Rotational vortex (Chaos is complex) [Instrumental, Guitar Solo] [Verse] The tenacity&#8230; (Of the vorticity) Grip on the whirl [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[3,5,9,14,3955],"tags":[546,563,4076],"class_list":["post-39947","post","type-post","status-publish","format-standard","hentry","category-4d-music","category-chaos-theory","category-daniel","category-lyrics","category-megaepix-enormous","tag-mp4","tag-music-videos","tag-swirl"],"_links":{"self":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/39947","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/comments?post=39947"}],"version-history":[{"count":7,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/39947\/revisions"}],"predecessor-version":[{"id":40372,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/39947\/revisions\/40372"}],"wp:attachment":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/media?parent=39947"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/categories?post=39947"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/tags?post=39947"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}