{"id":153908,"date":"2023-08-01T13:35:03","date_gmt":"2023-08-01T08:05:03","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153908"},"modified":"2023-08-01T13:35:06","modified_gmt":"2023-08-01T08:05:06","slug":"at-the-foot-of-a-spillway-water-flows-at-a-depth-of-23-cm-with-a-velocity-of-8-1-m-s-as-shown-in-the-figure","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/at-the-foot-of-a-spillway-water-flows-at-a-depth-of-23-cm-with-a-velocity-of-8-1-m-s-as-shown-in-the-figure\/","title":{"rendered":"At the foot of a spillway, water flows at a depth of 23 cm with a velocity of 8.1 m\/s, as shown in the figure"},"content":{"rendered":"\n<p>Q. At the foot of a spillway, water flows at a depth of 23 <em>cm <\/em>with a velocity of 8.1 <em>m\/s, <\/em>as shown in the figure.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-475.png\" alt=\"\" class=\"wp-image-153909\" width=\"458\" height=\"189\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-475.png 747w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-475-300x124.png 300w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/><\/figure>\n\n\n\n<p>The flow enters as an M-3 profile in the long wide rectangular channel with bed slope =\u00a0\u00a01\/1800 and Manning\u2019s <em>n <\/em>= 0.015. A hydraulic jump is formed at a certain distance from the foot of the spillway. Assume the acceleration due to gravity, <em>g <\/em>= 9.81 <em>m\/s<sup>2<\/sup><\/em>. Just before the hydraulic jump, the depth of flow \ud835\udc66<sub>1<\/sub> (in <em>m<\/em>, <em>round off to 2 decimal places<\/em>) is \u00a0\u00a0<\/p>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<p>Given, At a given section, y = 0.23 m and velocity (v) = 8.1 m\/s <\/p>\n\n\n\n<p>q (discharge per unit width) = 8.1 \u00d7 0.23 = 1.863 m2\/s <\/p>\n\n\n\n<p>Now, For a wide rectangular channel (B \u226b\u226b y)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>A = B \u00d7 y <\/p>\n\n\n\n<p>P = B + 2y\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"338\" height=\"405\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-476.png\" alt=\"\" class=\"wp-image-153912\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-476.png 338w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-476-250x300.png 250w\" sizes=\"(max-width: 338px) 100vw, 338px\" \/><\/figure>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. At the foot of a spillway, water flows at a depth of 23 cm with a velocity of 8.1 m\/s, as shown in the figure. The flow enters as an M-3 profile in the long wide rectangular channel with bed slope =\u00a0\u00a01\/1800 and Manning\u2019s n = 0.015. A hydraulic jump is formed at a [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153913,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-153908","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153908","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153908"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153908\/revisions"}],"predecessor-version":[{"id":153914,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153908\/revisions\/153914"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153913"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153908"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153908"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153908"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}