{"id":49037,"date":"2019-11-14T06:06:41","date_gmt":"2019-11-14T05:06:41","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/"},"modified":"2020-02-01T16:14:57","modified_gmt":"2020-02-01T15:14:57","slug":"o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/","title":{"rendered":"O que \u00e9 fator de atrito para fluxo turbulento &#8211; Equa\u00e7\u00e3o de Colebrook &#8211; Defini\u00e7\u00e3o"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">O fator de atrito de Darcy para fluxo turbulento pode ser determinado pela equa\u00e7\u00e3o de Colebrook-White, que relaciona o fator de atrito de Darcy, o n\u00famero de Reynolds e a rugosidade relativa.\u00a0Engenharia T\u00e9rmica<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-60 lgc-tablet-grid-60 lgc-mobile-grid-100 lgc-equal-heights lgc-first\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Fator de atrito de Darcy para fluxo turbulento<\/h2>\n<p>Se o\u00a0<a title=\"N\u00famero de Reynolds\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/reynolds-number\/\"><strong>n\u00famero de Reynolds<\/strong><\/a>\u00a0for maior que 3500, o fluxo ser\u00e1\u00a0<a title=\"Fluxo turbulento\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fluxo-turbulento-definicao\/\">turbulento<\/a>\u00a0.\u00a0A maioria dos sistemas de fluidos em instala\u00e7\u00f5es nucleares opera com\u00a0<strong>fluxo turbulento<\/strong>\u00a0.\u00a0Nesse\u00a0<a title=\"Regime de fluxo\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/flow-regime\/\">regime de fluxo,<\/a>\u00a0a resist\u00eancia ao fluxo segue a\u00a0<a title=\"Equa\u00e7\u00e3o de Darcy-Weisbach\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/major-head-loss-friction-loss\/darcy-weisbach-equation\/\"><strong>equa\u00e7\u00e3o de Darcy-Weisbach<\/strong><\/a>\u00a0: \u00e9 proporcional ao quadrado da velocidade m\u00e9dia do fluxo.\u00a0O fator de atrito de Darcy depende fortemente da\u00a0<a title=\"Rugosidade relativa do tubo\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/major-head-loss-friction-loss\/relative-roughness-of-pipe\/\"><strong>rugosidade relativa<\/strong><\/a>\u00a0da superf\u00edcie interna do tubo.<\/p>\n<p>O m\u00e9todo mais comum para determinar um fator de atrito para fluxo turbulento \u00e9 usar o\u00a0<a title=\"Moody Diagram\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/major-head-loss-friction-loss\/moody-diagram\/\"><strong>diagrama Moody<\/strong><\/a>\u00a0.\u00a0O diagrama Moody (tamb\u00e9m conhecido como gr\u00e1fico Moody) \u00e9 um gr\u00e1fico log-log da\u00a0<strong>correla\u00e7\u00e3o de Colebrook<\/strong>\u00a0que relaciona o fator de atrito de Darcy, o n\u00famero de Reynolds e a rugosidade relativa do fluxo totalmente desenvolvido em um tubo circular.\u00a0<strong>A equa\u00e7\u00e3o de Colebrook-White<\/strong>\u00a0:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-for-turbulent-flow.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14585 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-for-turbulent-flow.png\" alt=\"fator de atrito darcy para fluxo turbulento\" width=\"332\" height=\"69\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-for-turbulent-flow.png\" \/><\/a><\/p>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-40 lgc-tablet-grid-40 lgc-mobile-grid-100 lgc-equal-heights lgc-last\">\n<div class=\"inside-grid-column\">\n<p><strong>Fluxo turbulento:<\/strong><\/p>\n<ul>\n<li><strong>Re&gt; 4000<\/strong><\/li>\n<li>&#8216;alta velocidade<\/li>\n<li>O fluxo \u00e9 caracterizado pelo\u00a0<strong>movimento irregular<\/strong>\u00a0de part\u00edculas do fluido.<\/li>\n<li>O movimento m\u00e9dio est\u00e1 na dire\u00e7\u00e3o do fluxo<\/li>\n<li>O perfil da velocidade do fluxo para um fluxo turbulento \u00e9 bastante plano na se\u00e7\u00e3o central de um tubo e cai rapidamente extremamente perto das paredes.<\/li>\n<li>A velocidade m\u00e9dia do fluxo \u00e9 aproximadamente igual \u00e0 velocidade no centro do tubo.<\/li>\n<li>A an\u00e1lise matem\u00e1tica \u00e9 muito dif\u00edcil.<\/li>\n<li><strong>Tipo mais comum de fluxo<\/strong>\u00a0.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\"><span>que tamb\u00e9m \u00e9 conhecida como\u00a0<\/span><strong><span>equa\u00e7\u00e3o de Colebrook<\/span><\/strong><span>\u00a0, expressa o\u00a0<\/span><strong><span>fator de atrito de Darcy\u00a0<\/span><em><span>f<\/span><\/em>\u00a0<\/strong><span>em fun\u00e7\u00e3o da\u00a0<\/span><strong><span>rugosidade relativa<\/span><\/strong>\u00a0<span>do\u00a0<strong>tubo\u00a0<\/strong><\/span><strong><span>\u03b5 \/\u00a0<\/span><em><span>D\u00a0<\/span><\/em><sub><span>he<\/span><\/sub><\/strong><span>\u00a0n\u00famero de Reynolds.<\/span><span>Em 1939, Colebrook encontrou uma correla\u00e7\u00e3o impl\u00edcita para o fator de atrito em tubos redondos, ajustando os dados de estudos experimentais de fluxo turbulento em tubos lisos e \u00e1speros.<\/span><\/p>\n<p><span>Para tubos hidraulicamente lisos e fluxo turbulento (Re &lt;10\u00a0<\/span><sup><span>5), o fator de atrito pode ser aproximado pela\u00a0<\/span><strong><span>f\u00f3rmula de Blasius:<\/span><\/strong><\/sup><\/p>\n<p><strong><span>\u00a0f = (100.Re)\u00a0<\/span><sup><span>-\u00bc<\/span><\/sup><\/strong><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-relative-roughness-min.png\"><img loading=\"lazy\" class=\"alignright size-medium wp-image-14586 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-relative-roughness-min-285x300.png\" alt=\"fator de atrito darcy - rugosidade relativa\" width=\"285\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-relative-roughness-min-285x300.png\" \/><\/a><span>Deve-se notar que, em\u00a0<\/span><strong><span>n\u00fameros muito grandes de Reynolds<\/span><\/strong><span>\u00a0,\u00a0<\/span><strong><span>o fator de atrito \u00e9 independente do n\u00famero de Reynolds<\/span><\/strong><span>\u00a0.\u00a0Isso ocorre porque a espessura da subcamada laminar (subcamada viscosa) diminui com o aumento do n\u00famero de Reynolds.\u00a0Para n\u00fameros Reynolds muito grandes, a espessura da subcamada laminar \u00e9 compar\u00e1vel \u00e0 rugosidade da superf\u00edcie e influencia diretamente o fluxo.\u00a0A subcamada laminar torna-se t\u00e3o fina que a rugosidade da superf\u00edcie se projeta no fluxo.\u00a0As perdas por atrito neste caso s\u00e3o produzidas no fluxo principal principalmente pelos elementos de rugosidade salientes, e a contribui\u00e7\u00e3o da subcamada laminar \u00e9 insignificante.<\/span><\/p>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<figure id=\"attachment_14429\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-14429\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Moody-chart-min.jpg\"><img loading=\"lazy\" class=\"size-full wp-image-14429 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Moody-chart-min.jpg\" alt=\"Moody Diagram\" width=\"1409\" height=\"884\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Moody-chart-min.jpg\" \/><\/a><figcaption id=\"caption-attachment-14429\" class=\"wp-caption-text\"><span>Fonte: Donebythesecondlaw no idioma ingl\u00eas Wikipedia, CC BY-SA 3.0,<\/span><br \/>\n<span>https:\/\/commons.wikimedia.org\/w\/index.php?curid=4681366<\/span><\/figcaption><\/figure>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/relative-roughness-absolute-roughness-friction-min.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14587 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/relative-roughness-absolute-roughness-friction-min.png\" alt=\"rugosidade relativa - rugosidade absoluta\" width=\"390\" height=\"691\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/relative-roughness-absolute-roughness-friction-min.png\" \/><\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div><\/div>\n<div>\n<p>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.<\/p>\n<p>Este artigo \u00e9 baseado na tradu\u00e7\u00e3o autom\u00e1tica do artigo original em ingl\u00eas. Para mais informa\u00e7\u00f5es, consulte o artigo em ingl\u00eas. Voc\u00ea pode nos ajudar. Se voc\u00ea deseja corrigir a tradu\u00e7\u00e3o, envie-a para: translations@nuclear-power.com ou preencha o formul\u00e1rio de tradu\u00e7\u00e3o on-line. Agradecemos sua ajuda, atualizaremos a tradu\u00e7\u00e3o o mais r\u00e1pido poss\u00edvel. Obrigado.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>O fator de atrito de Darcy para fluxo turbulento pode ser determinado pela equa\u00e7\u00e3o de Colebrook-White, que relaciona o fator de atrito de Darcy, o n\u00famero de Reynolds e a rugosidade relativa.\u00a0Engenharia T\u00e9rmica Fator de atrito de Darcy para fluxo turbulento Se o\u00a0n\u00famero de Reynolds\u00a0for maior que 3500, o fluxo ser\u00e1\u00a0turbulento\u00a0.\u00a0A maioria dos sistemas de &#8230; <a title=\"O que \u00e9 fator de atrito para fluxo turbulento &#8211; Equa\u00e7\u00e3o de Colebrook &#8211; Defini\u00e7\u00e3o\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/\" aria-label=\"More on O que \u00e9 fator de atrito para fluxo turbulento &#8211; Equa\u00e7\u00e3o de Colebrook &#8211; Defini\u00e7\u00e3o\">Ler mais<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 fator de atrito para fluxo turbulento - Equa\u00e7\u00e3o de Colebrook - Defini\u00e7\u00e3o<\/title>\n<meta name=\"description\" content=\"O fator de atrito de Darcy para fluxo turbulento pode ser determinado pela equa\u00e7\u00e3o de Colebrook-White, que relaciona o fator de atrito de Darcy, o n\u00famero de Reynolds e a rugosidade relativa. Engenharia T\u00e9rmica\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"O que \u00e9 fator de atrito para fluxo turbulento - Equa\u00e7\u00e3o de Colebrook - Defini\u00e7\u00e3o\" \/>\n<meta property=\"og:description\" content=\"O fator de atrito de Darcy para fluxo turbulento pode ser determinado pela equa\u00e7\u00e3o de Colebrook-White, que relaciona o fator de atrito de Darcy, o n\u00famero de Reynolds e a rugosidade relativa. Engenharia T\u00e9rmica\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/\" \/>\n<meta property=\"og:site_name\" content=\"Thermal Engineering\" \/>\n<meta property=\"article:published_time\" content=\"2019-11-14T05:06:41+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-02-01T15:14:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-for-turbulent-flow.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\">\n\t<meta name=\"twitter:data1\" content=\"Nick Connor\">\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\">\n\t<meta name=\"twitter:data2\" content=\"2 minutos\">\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/#website\",\"url\":\"https:\/\/www.thermal-engineering.org\/fr\/\",\"name\":\"Thermal Engineering\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":\"https:\/\/www.thermal-engineering.org\/fr\/?s={search_term_string}\",\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-BR\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/#primaryimage\",\"inLanguage\":\"pt-BR\",\"url\":\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/darcy-friction-factor-for-turbulent-flow.png\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/#webpage\",\"url\":\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/\",\"name\":\"O que \\u00e9 fator de atrito para fluxo turbulento - Equa\\u00e7\\u00e3o de Colebrook - Defini\\u00e7\\u00e3o\",\"isPartOf\":{\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/#primaryimage\"},\"datePublished\":\"2019-11-14T05:06:41+00:00\",\"dateModified\":\"2020-02-01T15:14:57+00:00\",\"author\":{\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/#\/schema\/person\/e8c544db9afedaec8574d6464f9398bb\"},\"description\":\"O fator de atrito de Darcy para fluxo turbulento pode ser determinado pela equa\\u00e7\\u00e3o de Colebrook-White, que relaciona o fator de atrito de Darcy, o n\\u00famero de Reynolds e a rugosidade relativa. Engenharia T\\u00e9rmica\",\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-fator-de-atrito-para-fluxo-turbulento-equacao-de-colebrook-definicao\/\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/#\/schema\/person\/e8c544db9afedaec8574d6464f9398bb\",\"name\":\"Nick Connor\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/#personlogo\",\"inLanguage\":\"pt-BR\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/84c0dec310b44b65da29dc9df6925239?s=96&d=mm&r=g\",\"caption\":\"Nick Connor\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","_links":{"self":[{"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/posts\/49037"}],"collection":[{"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/comments?post=49037"}],"version-history":[{"count":0,"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/posts\/49037\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/media?parent=49037"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/categories?post=49037"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/pt-br\/wp-json\/wp\/v2\/tags?post=49037"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}