{"id":46764,"date":"2019-11-01T07:38:56","date_gmt":"2019-11-01T06:38:56","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/quel-est-leffet-de-bernoulli-relation-entre-pression-et-vitesse-definition\/"},"modified":"2020-03-03T08:02:52","modified_gmt":"2020-03-03T07:02:52","slug":"quel-est-leffet-de-bernoulli-relation-entre-pression-et-vitesse-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/quel-est-leffet-de-bernoulli-relation-entre-pression-et-vitesse-definition\/","title":{"rendered":"Quel est l\u2019effet de Bernoulli &#8211; Relation entre pression et vitesse &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Effet de Bernoulli &#8211; Relation entre pression et vitesse.\u00a0Dans cet exemple, les d\u00e9bits dans le r\u00e9acteur et dans la tuyauterie du r\u00e9acteur primaire sont calcul\u00e9s.\u00a0G\u00e9nie thermique<\/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 de Bernoulli<\/h2>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Equation-min.png\"><img loading=\"lazy\" class=\"alignright wp-image-14225 size-medium lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Equation-min-300x169.png\" alt=\"\u00c9quation de Bernoulli; Principe\" width=\"300\" height=\"169\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Equation-min-300x169.png\" \/><\/a><strong>L&#8217;\u00e9quation de Bernoulli<\/strong>\u00a0peut \u00eatre consid\u00e9r\u00e9e comme une d\u00e9claration du principe de\u00a0<strong>conservation de l&#8217;\u00e9nergie<\/strong>\u00a0appropri\u00e9 aux fluides en \u00e9coulement.\u00a0C&#8217;est l&#8217;une des \u00e9quations les plus importantes \/ utiles en\u00a0<strong>m\u00e9canique des fluides<\/strong>\u00a0.\u00a0Il met en relation\u00a0<strong>pression et vitesse<\/strong>\u00a0dans un\u00a0<strong>\u00e9coulement incompressible non invisible<\/strong>\u00a0.\u00a0<strong>L&#8217;\u00e9quation de Bernoulli<\/strong>\u00a0a quelques restrictions quant \u00e0 son applicabilit\u00e9, elles se r\u00e9sument comme suit:<\/p>\n<ul>\n<li>syst\u00e8me \u00e0 d\u00e9bit constant,<\/li>\n<li>la densit\u00e9 est constante (ce qui signifie \u00e9galement que le fluide est incompressible),<\/li>\n<li>aucun travail n&#8217;est fait sur ou par le fluide,<\/li>\n<li>aucune chaleur n&#8217;est transf\u00e9r\u00e9e vers ou \u00e0 partir du fluide,<\/li>\n<li>aucun changement ne se produit dans l&#8217;\u00e9nergie interne,<\/li>\n<li>l&#8217;\u00e9quation relie les \u00e9tats en deux points le long d&#8217;une m\u00eame ligne de courant (pas de conditions sur deux lignes de courant diff\u00e9rentes)<\/li>\n<\/ul>\n<p>Dans ces conditions, l&#8217;\u00e9quation d&#8217;\u00e9nergie g\u00e9n\u00e9rale est simplifi\u00e9e pour:<\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Theorem-Equation.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-14235 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Theorem-Equation.png\" alt=\"Th\u00e9or\u00e8me de Bernoulli - \u00e9quation\" width=\"346\" height=\"66\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Theorem-Equation.png\" \/><\/a><br \/>\nCette \u00e9quation est l&#8217;\u00e9quation la plus c\u00e9l\u00e8bre de\u00a0<strong><a title=\"Dynamique des fluides\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/fluid-dynamics\/\">la dynamique des fluides<\/a><\/strong>\u00a0.\u00a0<strong>L&#8217;\u00e9quation de Bernoulli<\/strong>\u00a0d\u00e9crit le comportement qualitatif du fluide en \u00e9coulement qui est habituellement d\u00e9sign\u00e9 par le terme\u00a0<strong>effet de Bernoulli<\/strong>\u00a0.\u00a0Cet effet provoque une\u00a0<strong>baisse de la pression du fluide<\/strong>\u00a0dans les r\u00e9gions o\u00f9 la vitesse d&#8217;\u00e9coulement est augment\u00e9e.\u00a0Cet abaissement de la pression dans l&#8217;\u00e9tranglement d&#8217;un chemin d&#8217;\u00e9coulement peut sembler contre-intuitif, mais moins quand on consid\u00e8re la pression comme une densit\u00e9 d&#8217;\u00e9nergie.\u00a0Dans le flux \u00e0 grande vitesse \u00e0 travers la constriction, l&#8217;\u00e9nergie cin\u00e9tique doit augmenter aux d\u00e9pens de l&#8217;\u00e9nergie de pression.\u00a0Les dimensions des termes de l&#8217;\u00e9quation sont l&#8217;\u00e9nergie cin\u00e9tique par unit\u00e9 de volume.<\/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-spacer\"><\/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<h2><span>L&#8217;effet de Bernoulli &#8211; Relation entre pression et vitesse<\/span><\/h2>\n<p><span>Il s&#8217;agit d&#8217;un exemple illustratif, les donn\u00e9es suivantes\u00a0<\/span><strong><span>ne<\/span><\/strong><span>\u00a0correspondent \u00e0 aucune conception de r\u00e9acteur.<\/span><\/p>\n<figure id=\"attachment_14206\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-14206\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Continuity-Equation-Flow-Rate-min.png\"><img loading=\"lazy\" class=\"size-medium wp-image-14206 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Continuity-Equation-Flow-Rate-min-300x300.png\" alt=\"\u00c9quation de continuit\u00e9 - D\u00e9bits dans le r\u00e9acteur\" width=\"300\" height=\"300\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Continuity-Equation-Flow-Rate-min-300x300.png\" \/><\/a><figcaption id=\"caption-attachment-14206\" class=\"wp-caption-text\"><span>Exemple de d\u00e9bits dans un r\u00e9acteur.\u00a0Il s&#8217;agit d&#8217;un exemple illustratif, les donn\u00e9es ne repr\u00e9sentent aucune conception de r\u00e9acteur.<\/span><\/figcaption><\/figure>\n<p><span>Lorsque l&#8217;\u00a0<\/span><strong><span>\u00e9quation de Bernoulli<\/span><\/strong><span>\u00a0est combin\u00e9e avec l&#8217;\u00a0<\/span><a title=\"\u00c9quation de continuit\u00e9\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quest-ce-que-lequation-de-continuite-definition\/\"><span>\u00e9quation de continuit\u00e9,<\/span><\/a><span>\u00a0les deux peuvent \u00eatre utilis\u00e9es pour trouver des vitesses et des pressions \u00e0 des points du flux reli\u00e9s par une ligne de courant.<\/span><\/p>\n<p><strong><span>L&#8217;\u00e9quation de continuit\u00e9<\/span><\/strong><span>\u00a0est simplement une expression math\u00e9matique du principe de\u00a0<\/span><a title=\"Loi de conservation de la mati\u00e8re\" href=\"https:\/\/www.nuclear-power.com\/laws-of-conservation\/law-of-conservation-of-matter\/\"><span>conservation de la masse<\/span><\/a><span>\u00a0.\u00a0Pour un volume de contr\u00f4le qui a une\u00a0<\/span><strong><span>seule entr\u00e9e<\/span><\/strong><span>\u00a0et une\u00a0<\/span><strong><span>seule sortie<\/span><\/strong><span>\u00a0, le principe de conservation de la masse stipule que, pour\u00a0<\/span><strong><span>un d\u00e9bit en r\u00e9gime permanent<\/span><\/strong><span>\u00a0, le d\u00e9bit massique dans le volume doit \u00eatre \u00e9gal au d\u00e9bit massique sortant.<\/span><\/p>\n<p><strong><span>Exemple:<\/span><\/strong><\/p>\n<p><strong><span>D\u00e9terminer la pression et la vitesse \u00e0 l&#8217;<\/span><\/strong><span>\u00a0int\u00e9rieur d&#8217;une branche froide de la tuyauterie primaire et d\u00e9terminer la pression et la vitesse au fond d&#8217;un\u00a0<\/span><strong><a title=\"Noyau du r\u00e9acteur\" href=\"https:\/\/www.reactor-physics.com\/what-is-reactor-core-definition\/\"><span>c\u0153ur de r\u00e9acteur<\/span><\/a><\/strong><span>\u00a0, qui est \u00e0 environ 5 m\u00e8tres en dessous de la branche froide de la tuyauterie primaire.<\/span><\/p>\n<p><span>Supposons:<\/span><\/p>\n<ul>\n<li><span>Un fluide de densit\u00e9 constante\u00a0<\/span><strong><span>\u2374 ~ 720 kg \/ m\u00a0<\/span><sup><span>3<\/span><\/sup><\/strong><span>\u00a0(\u00e0 290 \u00b0 C) s&#8217;\u00e9coule r\u00e9guli\u00e8rement \u00e0 travers la jambe froide et \u00e0 travers le fond du c\u0153ur.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>La section transversale du d\u00e9bit de la tuyauterie primaire (boucle unique) est \u00e9gale \u00e0\u00a0<\/span><strong><span>0,385 m\u00a0<\/span><sup><span>2<\/span><\/sup><\/strong><span>\u00a0(diam\u00e8tre de la tuyauterie ~ 700 mm)<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>La vitesse d&#8217;\u00e9coulement dans la jambe froide est \u00e9gale \u00e0\u00a0<\/span><strong><span>17 m \/ s<\/span><\/strong><span>\u00a0.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>La section efficace d&#8217;\u00e9coulement du c\u0153ur du r\u00e9acteur est \u00e9gale \u00e0\u00a0<\/span><strong><span>5 m\u00a0<\/span><sup><span>2<\/span><\/sup><\/strong><span>\u00a0.<\/span><\/li>\n<\/ul>\n<ul>\n<li><span>La pression manom\u00e9trique \u00e0 l&#8217;int\u00e9rieur de la jambe froide est \u00e9gale \u00e0\u00a0<\/span><strong><span>16 MPa<\/span><\/strong><span>\u00a0.<\/span><\/li>\n<\/ul>\n<p><span>En raison du principe de continuit\u00e9, la vitesse au fond du noyau est:<\/span><\/p>\n<p><span>v\u00a0<\/span><sub><span>entr\u00e9e<\/span><\/sub><span>\u00a0= v\u00a0<\/span><sub><span>froid<\/span><\/sub><span>\u00a0.\u00a0Une\u00a0<\/span><sub><span>tuyauterie<\/span><\/sub><span>\u00a0\/ un\u00a0<\/span><sub><span>noyau<\/span><\/sub><span>\u00a0A\u00a0= 17 x 1,52 \/ 5 =\u00a0<\/span><strong><span>5,17 m \/ s<\/span><\/strong><\/p>\n<p><span>En raison du\u00a0principe\u00a0<\/span><strong><span>de Bernoulli,<\/span><\/strong><span>\u00a0la pression au fond du c\u0153ur (entr\u00e9e du c\u0153ur) est:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-principle-example.png\"><img loading=\"lazy\" class=\"size-full wp-image-14240 alignleft lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-principle-example.png\" alt=\"Principe de Bernoulli - Exemple\" width=\"468\" height=\"211\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-principle-example.png\" \/><\/a><\/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\"><\/div>\n<\/div>\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>Effet de Bernoulli &#8211; Relation entre pression et vitesse.\u00a0Dans cet exemple, les d\u00e9bits dans le r\u00e9acteur et dans la tuyauterie du r\u00e9acteur primaire sont calcul\u00e9s.\u00a0G\u00e9nie thermique \u00c9quation de Bernoulli L&#8217;\u00e9quation de Bernoulli\u00a0peut \u00eatre consid\u00e9r\u00e9e comme une d\u00e9claration du principe de\u00a0conservation de l&#8217;\u00e9nergie\u00a0appropri\u00e9 aux fluides en \u00e9coulement.\u00a0C&#8217;est l&#8217;une des \u00e9quations les plus importantes \/ utiles en\u00a0m\u00e9canique &#8230; <a title=\"Quel est l\u2019effet de Bernoulli &#8211; Relation entre pression et vitesse &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quel-est-leffet-de-bernoulli-relation-entre-pression-et-vitesse-definition\/\" aria-label=\"En savoir plus sur Quel est l\u2019effet de Bernoulli &#8211; Relation entre pression et vitesse &#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>Quel est l\u2019effet de Bernoulli - Relation entre pression et vitesse - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"Effet de Bernoulli - Relation entre pression et vitesse. 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