


{"id":153451,"date":"2017-08-18T16:38:36","date_gmt":"2017-08-18T16:38:36","guid":{"rendered":"\/forum\/forums\/topic\/fluid-flow-taylor-couette-flow-between-rotating-cylinders\/"},"modified":"2017-08-18T16:38:36","modified_gmt":"2017-08-18T16:38:36","slug":"fluid-flow-taylor-couette-flow-between-rotating-cylinders","status":"closed","type":"topic","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/fluid-flow-taylor-couette-flow-between-rotating-cylinders\/","title":{"rendered":"Fluid Flow &#8211; Taylor-Couette Flow between Rotating Cylinders"},"content":{"rendered":"<p><img decoding=\"async\" src=\"https:\/\/us.v-cdn.net\/6032193\/uploads\/attachments\/4bb350f6-e8b7-48e6-83dd-a7cb012f1ee5\/d6e47268-fddb-48ff-b95b-a7d30111f7a7_capture.jpg?width=690&amp;upscale=false\" alt=\"\"><\/p>\n<p>&nbsp;<\/p>\n<p dir=\"ltr\" style=\"line-height: 1.38;margin-top: 8pt;margin-bottom: 0pt\"><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">A viscous fluid is between two concentric cylinders of radii <\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: italic;font-variant: normal;text-decoration: none;vertical-align: baseline\">a<\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\"> and <\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: italic;font-variant: normal;text-decoration: none;vertical-align: baseline\">b<\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">, which are rotating at constant angular velocities. The diagram below shows these two cylinders and their respective angular velocities. In this problem, <\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">a=1[m]<\/span> <span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">b=2a<\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\"> and <\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">2<\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\">=0 [rad\/s]<\/span><span style=\"font-size: 11pt;font-family: Arial;color: #333333;background-color: transparent;font-weight: 400;font-style: normal;font-variant: normal;text-decoration: none;vertical-align: baseline\"> but 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. See the attached file for the tutorial regarding this problem.<\/span><\/p>\n","protected":false},"template":"","class_list":["post-153451","topic","type-topic","status-closed","hentry"],"aioseo_notices":[],"acf":[],"custom_fields":[{"0":{"_bbp_author_ip":[""],"_bbp_view_count":["87"],"_bbp_likes_count":["0","0"],"_bbp_forum_subforum_count":["0"],"_btv_view_count":["867"],"_bbp_topic_status":["unanswered"],"_bbp_status":["publish"],"_bbp_topic_id":["153451"],"_bbp_forum_id":["153294"],"_bbp_engagement":["154369","161238","172306"],"_bbp_voice_count":["3"],"_bbp_reply_count":["2"],"_bbp_last_reply_id":["153453"],"_bbp_last_active_id":["153453"],"_bbp_last_active_time":["2020-01-21 17:07:24"]},"test":"svecchi"}],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/topics\/153451","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/topics"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/types\/topic"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/topics\/153451\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/media?parent=153451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}