{"id":190584,"date":"2021-09-01T12:20:09","date_gmt":"2021-09-01T12:20:09","guid":{"rendered":"\/forum\/forums\/reply\/190584\/"},"modified":"2021-09-01T12:20:24","modified_gmt":"2021-09-01T12:20:24","slug":"190584","status":"publish","type":"reply","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/","title":{"rendered":"Reply To: Rotational vs irrational flows"},"content":{"rendered":"<p>Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points.<br \/>\nIf the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a superposition of elementary solutions. This the basis of what is called the potential flow theory:<br \/>\n<a href=\"https:\/\/en.wikipedia.org\/wiki\/Potential_flow\" target=\"blank\">Potential flow &#8211; Wikipedia<\/a><\/p>\n","protected":false},"template":"","class_list":["post-190584","reply","type-reply","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=\"Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Ansys Learning Forum | Ansys Innovation Space\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Reply To: Rotational vs irrational flows | Ansys Learning Forum\" \/>\n\t\t<meta property=\"og:description\" content=\"Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2021-09-01T12:20:09+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2021-09-01T12:20:24+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Reply To: Rotational vs irrational flows | Ansys Learning Forum\" \/>\n\t\t<meta name=\"twitter:description\" content=\"Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/190584\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/190584\\\/#listItem\",\"name\":\"Reply To: Rotational vs irrational flows\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/190584\\\/#listItem\",\"position\":2,\"name\":\"Reply To: Rotational vs irrational flows\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"name\":\"Home\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#organization\",\"name\":\"Ansys Learning Forum\",\"description\":\"Ansys Innovation Space\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/190584\\\/#webpage\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/190584\\\/\",\"name\":\"Reply To: Rotational vs irrational flows | Ansys Learning Forum\",\"description\":\"Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. 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A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a","canonical_url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"BreadcrumbList","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum#listItem","position":1,"name":"Home","item":"https:\/\/innovationspace.ansys.com\/forum","nextItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/#listItem","name":"Reply To: Rotational vs irrational flows"}},{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/#listItem","position":2,"name":"Reply To: Rotational vs irrational flows","previousItem":{"@type":"ListItem","@id":"https:\/\/innovationspace.ansys.com\/forum#listItem","name":"Home"}}]},{"@type":"Organization","@id":"https:\/\/innovationspace.ansys.com\/forum\/#organization","name":"Ansys Learning Forum","description":"Ansys Innovation Space","url":"https:\/\/innovationspace.ansys.com\/forum\/"},{"@type":"WebPage","@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/#webpage","url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/","name":"Reply To: Rotational vs irrational flows | Ansys Learning Forum","description":"Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a","inLanguage":"en-US","isPartOf":{"@id":"https:\/\/innovationspace.ansys.com\/forum\/#website"},"breadcrumb":{"@id":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/#breadcrumblist"},"datePublished":"2021-09-01T12:20:09+00:00","dateModified":"2021-09-01T12:20:24+00:00"},{"@type":"WebSite","@id":"https:\/\/innovationspace.ansys.com\/forum\/#website","url":"https:\/\/innovationspace.ansys.com\/forum\/","name":"Ansys Learning Forum","description":"Ansys Innovation Space","inLanguage":"en-US","publisher":{"@id":"https:\/\/innovationspace.ansys.com\/forum\/#organization"}}]},"og:locale":"en_US","og:site_name":"Ansys Learning Forum | Ansys Innovation Space","og:type":"article","og:title":"Reply To: Rotational vs irrational flows | Ansys Learning Forum","og:description":"Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a","og:url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/","article:published_time":"2021-09-01T12:20:09+00:00","article:modified_time":"2021-09-01T12:20:24+00:00","twitter:card":"summary_large_image","twitter:title":"Reply To: Rotational vs irrational flows | Ansys Learning Forum","twitter:description":"Yes, the vorticity. A flow is irrotational if and only if vorticity (the curl of velocity) is zero at all points. If the fluid is assumed to be incompressible, irrotational flows are interesting because the momentum equation is reduced to the Laplace equation for the velocity potential. Laplace equation is linear, so it admits a"},"aioseo_meta_data":{"post_id":"190584","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"content","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":true,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"limit_modified_date":false,"created":"2024-10-24 13:34:24","updated":"2026-09-10 12:40:09","ai":null,"breadcrumb_settings":null,"seo_analyzer_scan_date":null},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/innovationspace.ansys.com\/forum\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">&raquo;<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tReply To: Rotational vs irrational flows\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/innovationspace.ansys.com\/forum"},{"label":"Reply To: Rotational vs irrational flows","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/190584\/"}],"acf":[],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies\/190584","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/types\/reply"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies\/190584\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/media?parent=190584"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}