{"id":46768,"date":"2019-11-01T08:00:41","date_gmt":"2019-11-01T07:00:41","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/"},"modified":"2020-03-03T08:03:30","modified_gmt":"2020-03-03T07:03:30","slug":"quest-ce-que-lequation-de-bernoulli-etendue-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/","title":{"rendered":"Qu\u2019est-ce que l\u2019\u00e9quation de Bernoulli \u00e9tendue &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">L&#8217;\u00e9quation \u00e9tendue de Bernoulli est tr\u00e8s utile pour r\u00e9soudre la plupart des probl\u00e8mes d&#8217;\u00e9coulement de fluide.\u00a0L&#8217;\u00e9quation suivante est une forme de l&#8217;\u00e9quation de Bernoulli \u00e9tendue.<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/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-spacer\"><\/div>\n<h2>\u00c9quation \u00e9tendue de Bernoulli<\/h2>\n<p>Deux\u00a0<strong>hypoth\u00e8ses<\/strong>\u00a0principales\u00a0ont \u00e9t\u00e9 appliqu\u00e9es pour d\u00e9river l&#8217;\u00a0<a title=\"L'\u00e9quation de Bernoulli - Le principe de Bernoulli\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-lequation-de-bernoulli-principe-de-bernoulli-definition\/\"><strong>\u00e9quation simplifi\u00e9e de Bernoulli<\/strong><\/a>\u00a0.<\/p>\n<ul>\n<li>La premi\u00e8re restriction de l&#8217;\u00e9quation de Bernoulli est\u00a0<strong>qu&#8217;aucun travail ne peut<\/strong>\u00a0\u00eatre effectu\u00e9 sur ou par le fluide.\u00a0Ceci est une limitation importante, car la plupart des syst\u00e8mes hydrauliques (notamment en\u00a0<a title=\"Ing\u00e9nierie nucl\u00e9aire\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/\">g\u00e9nie nucl\u00e9aire<\/a>\u00a0) incluent des pompes.\u00a0Cette restriction emp\u00eache l&#8217;analyse de deux points d&#8217;un flux de fluide s&#8217;il existe une pompe entre ces deux points.<\/li>\n<\/ul>\n<ul>\n<li>La deuxi\u00e8me restriction \u00e0 l\u2019\u00e9quation simplifi\u00e9e de Bernoulli est\u00a0<strong>qu\u2019aucun frottement de fluide<\/strong>\u00a0n\u2019est autoris\u00e9 pour r\u00e9soudre les probl\u00e8mes hydrauliques.\u00a0En r\u00e9alit\u00e9, les\u00a0<strong>frictions jouent un r\u00f4le crucial<\/strong>\u00a0.\u00a0La t\u00eate totale poss\u00e9d\u00e9e par le fluide ne peut pas \u00eatre transf\u00e9r\u00e9e compl\u00e8tement et sans perte d&#8217;un point \u00e0 un autre.\u00a0En r\u00e9alit\u00e9, les pompes incorpor\u00e9es dans un syst\u00e8me hydraulique ont notamment pour objectif de rem\u00e9dier aux pertes de charge dues au frottement.<\/li>\n<\/ul>\n<figure id=\"attachment_14299\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-14299\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Hydraulic-Head-Q-H.png\"><img loading=\"lazy\" class=\"size-medium wp-image-14299 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Hydraulic-Head-Q-H-300x207.png\" alt=\"Diagramme caract\u00e9ristique QH de la pompe centrifuge et du pipeline\" width=\"300\" height=\"207\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Hydraulic-Head-Q-H-300x207.png\" \/><\/a><figcaption id=\"caption-attachment-14299\" class=\"wp-caption-text\">Diagramme caract\u00e9ristique QH de la pompe centrifuge et du pipeline<\/figcaption><\/figure>\n<p>En raison de ces restrictions, la plupart des applications pratiques de l&#8217;\u00a0<strong>\u00e9quation<\/strong>\u00a0simplifi\u00e9e de\u00a0<strong>Bernoulli<\/strong>\u00a0aux syst\u00e8mes hydrauliques r\u00e9els sont tr\u00e8s limit\u00e9es.\u00a0Pour traiter \u00e0 la fois les pertes de charge et le travail de pompage,\u00a0<strong>il faut modifier l&#8217;\u00e9quation de Bernoulli<\/strong>\u00a0simplifi\u00e9e\u00a0.<\/p>\n<p>L&#8217;\u00e9quation de Bernoulli peut \u00eatre modifi\u00e9e pour prendre en compte les\u00a0<strong>gains et les pertes de t\u00eate<\/strong>\u00a0.\u00a0L&#8217;\u00e9quation r\u00e9sultante, appel\u00e9e\u00a0<strong>l&#8217;\u00e9quation \u00e9tendue de Bernoulli<\/strong>\u00a0, est tr\u00e8s utile pour r\u00e9soudre la plupart des probl\u00e8mes d&#8217;\u00e9coulement de fluide.\u00a0L&#8217;\u00e9quation suivante est une forme de l&#8217;\u00e9quation de Bernoulli \u00e9tendue.<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Extended-Bernoulli-Equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14315 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Extended-Bernoulli-Equation.png\" alt=\"\u00c9quation \u00e9tendue de Bernoulli\" width=\"441\" height=\"64\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Extended-Bernoulli-Equation.png\" \/><\/a><\/p>\n<p><span>o\u00f9:<\/span><br \/>\n<span>h = hauteur au-dessus du niveau de r\u00e9f\u00e9rence (m)<\/span><br \/>\n<span>v = vitesse moyenne du fluide (m \/ s)<\/span><br \/>\n<span>p = pression du fluide (Pa)<\/span><br \/>\n<span>H\u00a0<\/span><sub><span>pompe<\/span><\/sub><span>\u00a0= t\u00eate ajout\u00e9e par la pompe (m)<\/span><br \/>\n<span>H\u00a0<\/span><sub><span>friction<\/span><\/sub><span>\u00a0= perte de charge due \u00e0 la friction du fluide ( m)<\/span><br \/>\n<span>g = acc\u00e9l\u00e9ration due \u00e0 la gravit\u00e9 (m \/ s\u00a0<\/span><sup><span>2<\/span><\/sup><span>\u00a0)<\/span><\/p>\n<p><strong><span>La perte de charge<\/span><\/strong><span>\u00a0(ou la perte de pression) due \u00e0 la\u00a0friction de\u00a0fluide (H\u00a0<\/span><sub><span>friction<\/span><\/sub><span>\u00a0) repr\u00e9sente l&#8217;\u00e9nergie utilis\u00e9e pour surmonter la\u00a0friction caus\u00e9e par les parois du tuyau.\u00a0La perte de charge qui se produit dans les tuyaux d\u00e9pend de la\u00a0<\/span><strong><span>vitesse d&#8217;\u00e9coulement, du diam\u00e8tre<\/span><\/strong><span>\u00a0et de la\u00a0<\/span><strong><span>longueur du\u00a0<\/span><\/strong><span><strong>tuyau<\/strong>\u00a0, et d&#8217;un\u00a0<\/span><strong><span>facteur de friction<\/span><\/strong><span>\u00a0bas\u00e9 sur la rugosit\u00e9 du tuyau et le\u00a0<\/span><strong><span>nombre<\/span><\/strong><span>\u00a0de\u00a0<strong>Reynolds<\/strong>\u00a0du d\u00e9bit.\u00a0Un syst\u00e8me de tuyauterie contenant de nombreux raccords de tuyauterie et joints, convergence de tube, divergence, spires, rugosit\u00e9 de surface et autres propri\u00e9t\u00e9s physiques augmentera \u00e9galement la perte de charge d&#8217;un syst\u00e8me hydraulique.<\/span><\/p>\n<p><span>Bien que la\u00a0<\/span><strong><span>perte de charge repr\u00e9sente une perte d&#8217;\u00e9nergie<\/span><\/strong><span>\u00a0, elle ne\u00a0<\/span><strong><span>repr\u00e9sente pas une perte d&#8217;\u00e9nergie totale<\/span><\/strong><span>\u00a0du fluide.\u00a0L&#8217;\u00e9nergie totale du fluide se conserve gr\u00e2ce \u00e0 la\u00a0<\/span><strong><span>loi de conservation de l&#8217;\u00e9nergie<\/span><\/strong><span>\u00a0.\u00a0En r\u00e9alit\u00e9, la perte de charge due au frottement se traduit par une\u00a0<\/span><strong><span>augmentation<\/span><\/strong><span>\u00a0\u00e9quivalente\u00a0<strong>de l&#8217;\u00e9nergie interne<\/strong>\u00a0(augmentation de la temp\u00e9rature) du fluide.<\/span><\/p>\n<p><span>La plupart des m\u00e9thodes d&#8217;\u00e9valuation de la perte de charge due au frottement reposent presque exclusivement sur des preuves exp\u00e9rimentales.\u00a0Ceci sera discut\u00e9 dans les sections suivantes.<\/span><\/p>\n<\/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>Cet article est bas\u00e9 sur la traduction automatique de l&#8217;article original en anglais. Pour plus d&#8217;informations, voir l&#8217;article en anglais. Pouvez vous nous aider Si vous souhaitez corriger la traduction, envoyez-la \u00e0 l&#8217;adresse: translations@nuclear-power.com ou remplissez le formulaire de traduction en ligne. Nous appr\u00e9cions votre aide, nous mettrons \u00e0 jour la traduction le plus rapidement possible. Merci<\/p>\n","protected":false},"excerpt":{"rendered":"<p>L&#8217;\u00e9quation \u00e9tendue de Bernoulli est tr\u00e8s utile pour r\u00e9soudre la plupart des probl\u00e8mes d&#8217;\u00e9coulement de fluide.\u00a0L&#8217;\u00e9quation suivante est une forme de l&#8217;\u00e9quation de Bernoulli \u00e9tendue. \u00c9quation \u00e9tendue de Bernoulli Deux\u00a0hypoth\u00e8ses\u00a0principales\u00a0ont \u00e9t\u00e9 appliqu\u00e9es pour d\u00e9river l&#8217;\u00a0\u00e9quation simplifi\u00e9e de Bernoulli\u00a0. La premi\u00e8re restriction de l&#8217;\u00e9quation de Bernoulli est\u00a0qu&#8217;aucun travail ne peut\u00a0\u00eatre effectu\u00e9 sur ou par le fluide.\u00a0Ceci &#8230; <a title=\"Qu\u2019est-ce que l\u2019\u00e9quation de Bernoulli \u00e9tendue &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/\" aria-label=\"En savoir plus sur Qu\u2019est-ce que l\u2019\u00e9quation de Bernoulli \u00e9tendue &#8211; D\u00e9finition\">Lire la suite<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[8],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Qu\u2019est-ce que l\u2019\u00e9quation de Bernoulli \u00e9tendue - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"L&#039;\u00e9quation \u00e9tendue de Bernoulli est tr\u00e8s utile pour r\u00e9soudre la plupart des probl\u00e8mes d&#039;\u00e9coulement de fluide. L&#039;\u00e9quation suivante est une forme de l&#039;\u00e9quation de Bernoulli \u00e9tendue.\" \/>\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\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Qu\u2019est-ce que l\u2019\u00e9quation de Bernoulli \u00e9tendue - D\u00e9finition\" \/>\n<meta property=\"og:description\" content=\"L&#039;\u00e9quation \u00e9tendue de Bernoulli est tr\u00e8s utile pour r\u00e9soudre la plupart des probl\u00e8mes d&#039;\u00e9coulement de fluide. L&#039;\u00e9quation suivante est une forme de l&#039;\u00e9quation de Bernoulli \u00e9tendue.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/\" \/>\n<meta property=\"og:site_name\" content=\"Thermal Engineering\" \/>\n<meta property=\"article:published_time\" content=\"2019-11-01T07:00:41+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-03-03T07:03:30+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Hydraulic-Head-Q-H-300x207.png\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\">\n\t<meta name=\"twitter:data1\" content=\"Nick Connor\">\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture est.\">\n\t<meta name=\"twitter:data2\" content=\"3 minutes\">\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\":\"fr-FR\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/#primaryimage\",\"inLanguage\":\"fr-FR\",\"url\":\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Hydraulic-Head-Q-H-300x207.png\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/#webpage\",\"url\":\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/\",\"name\":\"Qu\\u2019est-ce que l\\u2019\\u00e9quation de Bernoulli \\u00e9tendue - D\\u00e9finition\",\"isPartOf\":{\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/#primaryimage\"},\"datePublished\":\"2019-11-01T07:00:41+00:00\",\"dateModified\":\"2020-03-03T07:03:30+00:00\",\"author\":{\"@id\":\"https:\/\/www.thermal-engineering.org\/fr\/#\/schema\/person\/e8c544db9afedaec8574d6464f9398bb\"},\"description\":\"L'\\u00e9quation \\u00e9tendue de Bernoulli est tr\\u00e8s utile pour r\\u00e9soudre la plupart des probl\\u00e8mes d'\\u00e9coulement de fluide. L'\\u00e9quation suivante est une forme de l'\\u00e9quation de Bernoulli \\u00e9tendue.\",\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-bernoulli-etendue-definition\/\"]}]},{\"@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\":\"fr-FR\",\"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\/fr\/wp-json\/wp\/v2\/posts\/46768"}],"collection":[{"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/comments?post=46768"}],"version-history":[{"count":0,"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/posts\/46768\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/media?parent=46768"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/categories?post=46768"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.thermal-engineering.org\/fr\/wp-json\/wp\/v2\/tags?post=46768"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}