{"id":161629,"date":"2023-10-31T14:19:57","date_gmt":"2023-10-31T08:49:57","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=161629"},"modified":"2023-10-31T14:19:58","modified_gmt":"2023-10-31T08:49:58","slug":"analysis-of-a-flow-phenomenon-in-a-system-requires-the-following-variables","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/analysis-of-a-flow-phenomenon-in-a-system-requires-the-following-variables\/","title":{"rendered":"Analysis of a flow phenomenon in a system requires the following variables"},"content":{"rendered":"\n<p>Q. Analysis of a flow phenomenon in a system requires the following variables:<\/p>\n\n\n\n<p>i. Pressure [M L-1 T <sup>-2<\/sup>]<\/p>\n\n\n\n<p>ii. <span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\">Velocity of the fluid [L T <\/span><sup style=\"background-color: var(--base-3); color: var(--contrast);\">-1<\/sup><span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\">]<\/span><\/p>\n\n\n\n<p>iii. <span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\">Size of the system [L]<\/span><\/p>\n\n\n\n<p>iv<span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\">Density of the fluid [M L<\/span><sup style=\"background-color: var(--base-3); color: var(--contrast);\">-3<\/sup><span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\">]<\/span><\/p>\n\n\n\n<p>v. Viscosity of the fluid [M L<sup>-1<\/sup> T <sup>-1<\/sup>]<\/p>\n\n\n\n<p>According to Buckingham Pi theorem (dimensional analysis) what is the number of independent DIMENSIONLESS variables needed to describe this system?<\/p>\n\n\n\n<p>(A) 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (B) 3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (C) 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 (D) 5<\/p>\n\n\n\n<p>Ans: 2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. Analysis of a flow phenomenon in a system requires the following variables: i. Pressure [M L-1 T -2] ii. Velocity of the fluid [L T -1] iii. Size of the system [L] ivDensity of the fluid [M L-3] v. Viscosity of the fluid [M L-1 T -1] According to Buckingham Pi theorem (dimensional analysis) [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":161630,"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-161629","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\/161629","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=161629"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161629\/revisions"}],"predecessor-version":[{"id":161631,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/161629\/revisions\/161631"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/161630"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=161629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=161629"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=161629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}