{"id":6,"date":"2014-04-09T13:12:00","date_gmt":"2014-04-09T18:12:00","guid":{"rendered":"http:\/\/charles-oneill.com\/blog\/?p=6"},"modified":"2014-07-31T16:26:33","modified_gmt":"2014-07-31T21:26:33","slug":"hydraulic-jump-at-lake-tuscaloosa","status":"publish","type":"post","link":"https:\/\/charles-oneill.com\/blog\/hydraulic-jump-at-lake-tuscaloosa\/","title":{"rendered":"Hydraulic Jump at Lake Tuscaloosa"},"content":{"rendered":"<p>Recently, Tuscaloosa received a sustained storm with significant rainfall. The video shows a hydraulic jump (shock) at Lake Tuscaloosa&#8217;s spillway (channel flow).<\/p>\n<div style=\"clear: both; text-align: center;\"><object width=\"320\" height=\"266\" codebase=\"http:\/\/download.macromedia.com\/pub\/shockwave\/cabs\/flash\/swflash.cab#version=6,0,40,0\" class=\"\" data-thumbnail-src=\"https:\/\/i1.ytimg.com\/vi\/VKy5r1Rik7U\/0.jpg\"><param name=\"movie\" value=\"https:\/\/www.youtube.com\/v\/VKy5r1Rik7U?version=3&#038;f=user_uploads&#038;c=google-webdrive-0&#038;app=youtube_gdata\" \/><param name=\"bgcolor\" value=\"#FFFFFF\" \/><param name=\"allowFullScreen\" value=\"true\" \/><embed width=\"320\" height=\"266\"  src=\"https:\/\/www.youtube.com\/v\/VKy5r1Rik7U?version=3&#038;f=user_uploads&#038;c=google-webdrive-0&#038;app=youtube_gdata\" type=\"application\/x-shockwave-flash\" allowfullscreen=\"true\"><\/embed><\/object><\/div>\n<div style=\"clear: both; text-align: center;\"><\/div>\n<div style=\"clear: both; text-align: left;\">The depth ratio is relatively small. We can compute the Froude number (and the velocity)\u00a0based on this ratio of depth before and after the jump.<\/div>\n<div style=\"clear: both; text-align: left;\">$$\\frac{y_2}{y_1} = \\frac{-1}{2} + \\frac{\\sqrt{1+8 Fr_1^2}}{2}$$<\/div>\n<div style=\"clear: both; text-align: left;\"><\/div>\n<div style=\"clear: both; text-align: left;\">For a 10 foot depth before the jump and a 11 foot depth after (generous), the Froude number \\(Fr = \\frac{v_1}{\\sqrt{g y_1}}\u00a0\\) is approximately 1.1. This gives a pre-jump velocity of 20 ft\/s. Reasonable based on my video.<\/div>\n<div style=\"clear: both; text-align: left;\"><\/div>\n<div style=\"clear: both; text-align: left;\"><\/div>\n<div style=\"clear: both; text-align: center;\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Recently, Tuscaloosa received a sustained storm with significant rainfall. The video shows a hydraulic jump (shock) at Lake Tuscaloosa&#8217;s spillway (channel flow). The depth ratio is relatively small. We can compute the Froude number (and the velocity)\u00a0based on this ratio of depth before and after the jump. $$\\frac{y_2}{y_1} = \\frac{-1}{2} + \\frac{\\sqrt{1+8 Fr_1^2}}{2}$$ For a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/6"}],"collection":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":6,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/6\/revisions"}],"predecessor-version":[{"id":104,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/6\/revisions\/104"}],"wp:attachment":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/categories?post=6"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/tags?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}