{"id":153619,"date":"2023-07-31T11:20:31","date_gmt":"2023-07-31T05:50:31","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153619"},"modified":"2023-07-31T11:20:33","modified_gmt":"2023-07-31T05:50:33","slug":"consider-a-laminar-flow-in-the-x-direction-between-two-infinite-parallel-plates-couette-flow-the-lower-plate-is-stationary-and-the-upper-plate-is-moving-with-a-velocity-of-1-cm-s-in-the-x-direction","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/consider-a-laminar-flow-in-the-x-direction-between-two-infinite-parallel-plates-couette-flow-the-lower-plate-is-stationary-and-the-upper-plate-is-moving-with-a-velocity-of-1-cm-s-in-the-x-direction\/","title":{"rendered":"Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm\/s in the x-direction"},"content":{"rendered":"\n<p>Q. Consider a laminar flow in the <em>x<\/em>-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 <em>cm\/s <\/em>in the <em>x<\/em>-direction. The distance between the plates is 5 <em>mm <\/em>and the dynamic viscosity of the fluid is 0.01 <em>N-s\/m<sup>2<\/sup><\/em>. If the shear stress on the lower plate is zero, the pressure gradient, <sup>\ud835\udf15\ud835\udc5d<\/sup>\/\ud835\udf15x, (in \ud835\udf15\ud835\udc65<em>N\/m<sup>2<\/sup> per m, round off to 1 decimal place<\/em>) is <\/p>\n\n\n\n<p>\u00a0\u00a0Solution:<\/p>\n\n\n\n<p>Given data: <\/p>\n\n\n\n<p>Velocity of plate, V = 1 cm\/sec <\/p>\n\n\n\n<p>Distance between the late = 5 mm <\/p>\n\n\n\n<p>Dynamic viscosity of fluid = 0.01 N-S\/m2 <\/p>\n\n\n\n<p>Shear stress at lower plate = 0 <\/p>\n\n\n\n<p>Pressure gradient:\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"473\" height=\"237\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-436.png\" alt=\"\" class=\"wp-image-153620\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-436.png 473w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-436-300x150.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><\/figure>\n\n\n\n<p>\u00a0\u00a0\u00a0\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm\/s in the x-direction. The distance between the plates is 5 mm and the dynamic viscosity of the fluid is 0.01 N-s\/m2. If the [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153621,"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":[],"class_list":["post-153619","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153619","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=153619"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153619\/revisions"}],"predecessor-version":[{"id":153622,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153619\/revisions\/153622"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153621"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153619"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}