{"id":46865,"date":"2019-11-02T02:11:57","date_gmt":"2019-11-02T01:11:57","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/derivation-de-lequation-de-bernoulli-definition\/"},"modified":"2020-03-03T09:09:06","modified_gmt":"2020-03-03T08:09:06","slug":"derivation-de-lequation-de-bernoulli-definition","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/fr\/derivation-de-lequation-de-bernoulli-definition\/","title":{"rendered":"D\u00e9rivation de l\u2019\u00e9quation de Bernoulli &#8211; D\u00e9finition"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">D\u00e9rivation de l&#8217;\u00e9quation de Bernoulli. L&#8217;\u00e9quation de Bernoulli pour les fluides incompressibles peut \u00eatre d\u00e9duite des \u00e9quations d&#8217;Euler sous certaines restrictions.<\/div>\n<\/div>\n<div><\/div>\n<div><\/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<h2><span>D\u00e9rivation de l&#8217;\u00e9quation de Bernoulli<\/span><\/h2>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Derivation-of-Bernoulli-Equation.png\"><img loading=\"lazy\" class=\"alignright size-full wp-image-14232 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Derivation-of-Bernoulli-Equation.png\" alt=\"D\u00e9rivation de l'\u00e9quation de Bernoulli\" width=\"389\" height=\"421\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Derivation-of-Bernoulli-Equation.png\" \/><\/a><a title=\"\u00c9quation de Bernoulli - Principe de Bernoulli\" href=\"https:\/\/www.thermal-engineering.org\/fr\/quelle-est-lequation-de-bernoulli-principe-de-bernoulli-definition\/\"><strong><span>L&#8217;\u00e9quation de Bernoulli<\/span><\/strong><\/a><span>\u00a0pour les fluides incompressibles peut \u00eatre d\u00e9riv\u00e9e des<\/span><strong><span>\u00a0\u00e9quations<\/span><\/strong><span>\u00a0de mouvement d&#8217;<strong>\u00a0Euler<\/strong>\u00a0sous des restrictions assez s\u00e9v\u00e8res.<\/span><\/p>\n<ul>\n<li><span>La vitesse doit \u00eatre d\u00e9riv\u00e9e d&#8217;un\u00a0<\/span><strong><span>potentiel de vitesse<\/span><\/strong><span>\u00a0.<\/span><\/li>\n<li><span>Les forces ext\u00e9rieures doivent \u00eatre conservatrices.\u00a0Autrement dit, d\u00e9rivable d&#8217;un potentiel.<\/span><\/li>\n<li><span>La densit\u00e9 doit \u00eatre soit constante, soit fonction de la pression seule.<\/span><\/li>\n<li><span>Les effets thermiques, tels que la convection naturelle, sont ignor\u00e9s.<\/span><\/li>\n<\/ul>\n<p><span>En dynamique des fluides, les \u00e9quations d&#8217;Euler sont un ensemble d&#8217;\u00e9quations hyperboliques quasi lin\u00e9aires r\u00e9gissant le flux adiabatique et inviscide.\u00a0Les \u00e9quations d&#8217;Euler peuvent \u00eatre obtenues par lin\u00e9arisation de ces \u00e9quations de Navier \u2013 Stokes.<\/span><\/p>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\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<h2><span>L&#8217;\u00e9quation de Bernoulli<\/span><\/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><span>L&#8217;\u00e9quation de Bernoulli<\/span><\/strong><span>\u00a0peut \u00eatre consid\u00e9r\u00e9e comme un \u00e9nonc\u00e9 du principe de\u00a0<\/span><strong><span>conservation de l&#8217;\u00e9nergie<\/span><\/strong><span>\u00a0appropri\u00e9 pour les fluides en circulation.\u00a0C&#8217;est l&#8217;une des \u00e9quations les plus importantes \/ utiles en\u00a0<\/span><strong><span>m\u00e9canique des fluides<\/span><\/strong><span>\u00a0.\u00a0Il met en relation la\u00a0<\/span><strong><span>pression et la vitesse<\/span><\/strong><span>\u00a0dans un\u00a0<\/span><strong><span>\u00e9coulement incompressible non visqueux<\/span><\/strong><span>\u00a0.\u00a0<\/span><strong><span>L&#8217;\u00e9quation de Bernoulli<\/span><\/strong><span>\u00a0a quelques restrictions dans son applicabilit\u00e9, elles sont r\u00e9sum\u00e9es dans les points suivants:<\/span><\/p>\n<ul>\n<li><span>syst\u00e8me \u00e0 d\u00e9bit constant,<\/span><\/li>\n<li><span>la densit\u00e9 est constante (ce qui signifie \u00e9galement que le fluide est incompressible),<\/span><\/li>\n<li><span>aucun travail n&#8217;est effectu\u00e9 sur ou par le fluide,<\/span><\/li>\n<li><span>aucune chaleur n&#8217;est transf\u00e9r\u00e9e vers ou depuis le fluide,<\/span><\/li>\n<li><span>aucun changement ne se produit dans l&#8217;\u00e9nergie interne,<\/span><\/li>\n<li><span>l&#8217;\u00e9quation relie les \u00e9tats en deux points le long d&#8217;une m\u00eame ligne de courant (pas les conditions sur deux lignes de courant diff\u00e9rentes)<\/span><\/li>\n<\/ul>\n<p><span>Dans ces conditions, l&#8217;\u00e9quation g\u00e9n\u00e9rale de l&#8217;\u00e9nergie est simplifi\u00e9e pour:<\/span><\/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 - \u00c9quation\" width=\"346\" height=\"66\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Bernoulli-Theorem-Equation.png\" \/><\/a><\/p>\n<\/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<\/div>\n","protected":false},"excerpt":{"rendered":"<p>D\u00e9rivation de l&#8217;\u00e9quation de Bernoulli. L&#8217;\u00e9quation de Bernoulli pour les fluides incompressibles peut \u00eatre d\u00e9duite des \u00e9quations d&#8217;Euler sous certaines restrictions. D\u00e9rivation de l&#8217;\u00e9quation de Bernoulli L&#8217;\u00e9quation de Bernoulli\u00a0pour les fluides incompressibles peut \u00eatre d\u00e9riv\u00e9e des\u00a0\u00e9quations\u00a0de mouvement d&#8217;\u00a0Euler\u00a0sous des restrictions assez s\u00e9v\u00e8res. La vitesse doit \u00eatre d\u00e9riv\u00e9e d&#8217;un\u00a0potentiel de vitesse\u00a0. Les forces ext\u00e9rieures doivent \u00eatre &#8230; <a title=\"D\u00e9rivation de l\u2019\u00e9quation de Bernoulli &#8211; D\u00e9finition\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/fr\/derivation-de-lequation-de-bernoulli-definition\/\" aria-label=\"En savoir plus sur D\u00e9rivation de l\u2019\u00e9quation de Bernoulli &#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>D\u00e9rivation de l\u2019\u00e9quation de Bernoulli - D\u00e9finition<\/title>\n<meta name=\"description\" content=\"D\u00e9rivation de l&#039;\u00e9quation de Bernoulli. 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